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178-463: In general, super-Earths are defined by their masses . The term does not imply temperatures, compositions, orbital properties, habitability, or environments. While sources generally agree on an upper bound of 10 Earth masses (~69% of the mass of Uranus , which is the Solar System's giant planet with the least mass), the lower bound varies from 1 or 1.9 to 5, with various other definitions appearing in

356-604: A brown dwarf . It was detected by gravitational microlensing. In June 2008, European researchers announced the discovery of three super-Earths around the star HD 40307 , a star that is only slightly less massive than the Sun . Planets have at least the following minimum masses: 4.2, 6.7, and 9.4 times Earth's. The planets were detected by the radial velocity method by the HARPS (High Accuracy Radial Velocity Planet Searcher) in Chile . In addition,

534-402: A displacement R AB , Newton's law of gravitation states that each object exerts a gravitational force on the other, of magnitude where G is the universal gravitational constant . The above statement may be reformulated in the following way: if g is the magnitude at a given location in a gravitational field, then the gravitational force on an object with gravitational mass M is This

712-449: A free market economy that saw an increase in domestic and foreign private investment, although the copper industry and other important mineral resources were not opened to competition. In a plebiscite on 5 October 1988, Pinochet was denied a second eight-year term as president (56% against 44%). Chileans elected a new president and the majority of members of a bicameral congress on 14 December 1989. Christian Democrat Patricio Aylwin ,

890-405: A gravitational field . If a first body of mass m A is placed at a distance r (center of mass to center of mass) from a second body of mass m B , each body is subject to an attractive force F g = Gm A m B / r , where G = 6.67 × 10  N⋅kg ⋅m is the "universal gravitational constant ". This is sometimes referred to as gravitational mass. Repeated experiments since

1068-411: A measure of the body's inertia , meaning the resistance to acceleration (change of velocity ) when a net force is applied. The object's mass also determines the strength of its gravitational attraction to other bodies. The SI base unit of mass is the kilogram (kg). In physics , mass is not the same as weight , even though mass is often determined by measuring the object's weight using

1246-645: A national referendum in April 2020 regarding the creation of a new Constitution, later postponed to October due to the COVID-19 pandemic . On 25 October 2020, Chileans voted 78.28 per cent in favor of a new constitution, while 21.72 per cent rejected the change. Voter turnout was 51 percent. An election for the members of the Constitutional Convention was held in Chile between 15 and 16 May 2021. On 19 December 2021,

1424-578: A parliamentary style democracy. However, the Civil War had also been a contest between those who favored the development of local industries and powerful Chilean banking interests, particularly the House of Edwards which had strong ties to foreign investors. Soon after, the country engaged in a vastly expensive naval arms race with Argentina that nearly led to war, as well because of the Puna de Atacama dispute . After

1602-558: A plurality of votes in a three-way contest, followed by candidates Radomiro Tomic for the Christian Democrat Party and Jorge Alessandri for the Conservative Party. Allende was not elected with an absolute majority, receiving fewer than 35% of the votes. The Chilean Congress conducted a runoff vote between the leading candidates, Allende and former president Jorge Alessandri, and, keeping with tradition, chose Allende by

1780-507: A runaway greenhouse effect like Venus. Two further possible super-Earths were discovered in 2006: OGLE-2005-BLG-390Lb with a mass of 5.5 Earth masses, which was found by gravitational microlensing , and HD 69830 b with a mass of 10 Earth masses. The smallest super-Earth found as of 2008 was MOA-2007-BLG-192Lb . The planet was announced by astrophysicist David P. Bennett for the international MOA collaboration on June 2, 2008. This planet has approximately 3.3 Earth masses and orbits

1958-518: A spring scale , rather than balance scale comparing it directly with known masses. An object on the Moon would weigh less than it does on Earth because of the lower gravity, but it would still have the same mass. This is because weight is a force, while mass is the property that (along with gravity) determines the strength of this force. In the Standard Model of physics, the mass of elementary particles

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2136-403: A Harvard professor of astronomy and lead author of an article on the discovery. However, interior models of this planet suggest that under most conditions it does not have liquid water. By November 2009, a total of 30 super-Earths had been discovered, 24 of which were first observed by HARPS. Discovered on 5 January 2010, a planet HD 156668 b with a minimum mass of 4.15 Earth masses ,

2314-406: A bronze ball and a wooden ramp. The wooden ramp was "12 cubits long, half a cubit wide and three finger-breadths thick" with a straight, smooth, polished groove . The groove was lined with " parchment , also smooth and polished as possible". And into this groove was placed "a hard, smooth and very round bronze ball". The ramp was inclined at various angles to slow the acceleration enough so that

2492-614: A campaign of domestic political and economical destabilization, some of which was backed by the United States. By early 1973, inflation was out of control. On 26 May 1973, Chile's Supreme Court, which was opposed to Allende's government, unanimously denounced Allende's disruption of the legality of the nation . Although illegal under the Chilean constitution, the court supported and strengthened Pinochet's soon-to-be seizure of power. A military coup overthrew Allende on 11 September 1973. As

2670-530: A curved path. "For a stone projected is by the pressure of its own weight forced out of the rectilinear path, which by the projection alone it should have pursued, and made to describe a curve line in the air; and through that crooked way is at last brought down to the ground. And the greater the velocity is with which it is projected, the farther it goes before it falls to the Earth." Newton further reasons that if an object were "projected in an horizontal direction from

2848-454: A distance from the star at which the temperature is just right for water to exist in liquid form rather than being stripped away by stellar radiation or locked permanently in ice. In May 2014, previously discovered Kepler-10c was determined to have the mass comparable to Neptune (17 Earth masses). With the radius of 2.35 R 🜨 , it is currently the largest known planet likely to have a predominantly rocky composition. At 17 Earth masses, it

3026-473: A distance where life in theory could exist, according to a record-breaking tally announced on Tuesday by the European Southern Observatory. They are part of a cluster of as many as seven planets that circle Gliese 667C , one of three stars located a relatively close 22 light years from Earth in the constellation of Scorpio, it said. The planets orbit Gliese 667C in the so-called Goldilocks Zone —

3204-496: A diversity of compositions that is not well-explained by a single mass-radius relation as that found in rocky planets). After measuring 65 super-Earths smaller than 4 Earth-radii, the empirical data points out that Gas Dwarves would be the most usual composition: there is a trend where planets with radii up to 1.5 Earth-radii increase in density with increasing radius, but above 1.5 radii the average planet density rapidly decreases with increasing radius, indicating that these planets have

3382-505: A force from a scale or the surface of a planetary body such as the Earth or the Moon . This force keeps the object from going into free fall. Weight is the opposing force in such circumstances and is thus determined by the acceleration of free fall. On the surface of the Earth, for example, an object with a mass of 50 kilograms weighs 491 newtons, which means that 491 newtons is being applied to keep

3560-399: A friend, Edmond Halley , that he had solved the problem of gravitational orbits, but had misplaced the solution in his office. After being encouraged by Halley, Newton decided to develop his ideas about gravity and publish all of his findings. In November 1684, Isaac Newton sent a document to Edmund Halley, now lost but presumed to have been titled De motu corporum in gyrum (Latin for "On

3738-421: A gravitational field. Newton further assumed that the strength of each object's gravitational field would decrease according to the square of the distance to that object. If a large collection of small objects were formed into a giant spherical body such as the Earth or Sun, Newton calculated the collection would create a gravitational field proportional to the total mass of the body, and inversely proportional to

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3916-406: A hammer and a feather are dropped from the same height through the air on Earth, the feather will take much longer to reach the ground; the feather is not really in free -fall because the force of air resistance upwards against the feather is comparable to the downward force of gravity. On the other hand, if the experiment is performed in a vacuum , in which there is no air resistance, the hammer and

4094-526: A large fraction of volatiles by volume overlying a rocky core. Another discovery about exoplanets' composition is that about the gap or rarity observed for planets between 1.5 and 2.0 Earth-radii , which is explained by a bimodal formation of planets (rocky Super-Earths below 1.75 and sub-Neptunes with thick gas envelopes being above such radii). Additional studies, conducted with lasers at the Lawrence Livermore National Laboratory and

4272-469: A large variety of climates and landscapes. It contains 756,950 square kilometers (292,260 sq mi) of land area. It is situated within the Pacific Ring of Fire . Excluding its Pacific islands and Antarctic claim, Chile lies between latitudes 17° and 56°S , and longitudes 66° and 75°W . Chile is among the longest north–south countries in the world. If one considers only mainland territory, Chile

4450-414: A leftist candidate, the 35-year-old former student protest leader Gabriel Boric , won Chile's presidential election to become the country's youngest ever leader. On 11 March 2022, Boric was sworn in as president to succeed outgoing President Sebastian Piñera. Out of 24 members of Gabriel Boric's female-majority Cabinet, 14 are women. On 4 September 2022, voters rejected the new constitution proposal in

4628-572: A letter dated 12 November 1821, expressing his plan to conquer Guayaquil , the Galapagos Islands , and the Philippines . There were preparations, but the plan did not push through because O'Higgins was exiled. Chile slowly started to expand its influence and to establish its borders. By the Tantauco Treaty, the archipelago of Chiloé was incorporated in 1826. The economy began to boom due to

4806-519: A major constituent ( ocean planets ), or have a denser core enshrouded with an extended gaseous envelope ( gas dwarf or sub-Neptune). A super-Earth of high density is believed to be rocky and/or metallic, like Earth and the other terrestrial planets of the Solar System. A super-Earth's interior could be undifferentiated, partially differentiated, or completely differentiated into layers of different composition. Researchers at Harvard Astronomy Department have developed user-friendly online tools to characterize

4984-412: A period of 0.28 days orbiting the host star K2-141 (EPIC 246393474) was reported. Another Super-Earth, K2-155d , is discovered. In July 2018, the discovery of 40 Eridani b was announced. At 16 light-years it is the closest super-Earth known, and its star is the second-brightest hosting a super-Earth. In July 2019, the discovery of GJ 357 d was announced. Thirty-one light-years from the Solar System,

5162-604: A period of 36.6 days, placing it in the middle of the habitable zone where liquid water could exist and midway between the planets c and d. It was discovered using the radial velocity method by scientists at the University of California at Santa Cruz and the Carnegie Institution of Washington. However, the existence of Gliese 581 g has been questioned by another team of astronomers, and it is currently listed as unconfirmed at The Extrasolar Planets Encyclopaedia . On 2 February,

5340-540: A period of almost 24 hours, an effort that was carried on live television around the world. 2019–20 Chilean protests are a series of country-wide protests in response to a rise in the Santiago Metro 's subway fare, the increased cost of living , privatization and inequality prevalent in the country. On 15 November, most of the political parties represented in the National Congress signed an agreement to call

5518-527: A period of major reform. Under the slogan "Revolution in Liberty", the Frei administration embarked on far-reaching social and economic programs, particularly in education, housing, and agrarian reform , including rural unionization of agricultural workers. By 1967, however, Frei encountered increasing opposition from leftists, who charged that his reforms were inadequate, and from conservatives, who found them excessive. At

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5696-569: A potentially habitable super-Earth HD 85512 b was found using the HARPS as well as a three super-Earth system 82 G. Eridani . On HD 85512 b, it would be habitable if it exhibits more than 50% cloud cover. Then less than a month later, a flood of 41 new exoplanets, including 10 super-Earths, were announced. On 5 December 2011, the Kepler space telescope discovered its first planet within the habitable zone or "Goldilocks region" of its Sun-like star. Kepler-22b

5874-694: A prolonged struggle, including infighting from Bernardo O'Higgins , who challenged Carrera's leadership. Intermittent warfare continued until 1817. With Carrera in prison in Argentina, O'Higgins and anti-Carrera cohort José de San Martín , hero of the Argentine War of Independence , led an army that crossed the Andes into Chile and defeated the royalists. On 12 February 1818, Chile was proclaimed an independent republic . The political revolt brought little social change, however, and 19th-century Chilean society preserved

6052-490: A reformist president, Arturo Alessandri , whose program was frustrated by a conservative congress. In the 1920s, Marxist groups with strong popular support arose. A military coup led by General Luis Altamirano in 1924 set off a period of political instability that lasted until 1932. Of the ten governments that held power in that period, the longest lasting was that of General Carlos Ibáñez del Campo , who briefly held power in 1925 and then again between 1927 and 1931 in what

6230-471: A sharp boundary between liquid and atmosphere, which the four giant planets in the Solar System do not have. Planets above 10 Earth masses are termed massive solid planets , mega-Earths , or gas giant planets , depending on whether they are mostly made of rock and ice or mostly gas. The first super-Earths were discovered by Aleksander Wolszczan and Dale Frail around the pulsar PSR B1257+12 in 1992. The two outer planets ( Poltergeist and Phobetor ) of

6408-463: A string, does the combined system fall faster because it is now more massive, or does the lighter body in its slower fall hold back the heavier body? The only convincing resolution to this question is that all bodies must fall at the same rate. A later experiment was described in Galileo's Two New Sciences published in 1638. One of Galileo's fictional characters, Salviati, describes an experiment using

6586-469: A super-Earth is detectable by both the radial-velocity and the transit methods, then both its mass and its radius can be determined; thus its average bulk density can be calculated. The actual empirical observations are giving similar results as theoretical models, as it's found that planets larger than approximately 1.6 Earth-radius (more massive than approximately 6 Earth-masses) contain significant fractions of volatiles or H/He gas (such planets appear to have

6764-543: A super-Earth might have formed in proximity to the Sun, cleared its neighborhood and rapidly get disrupted by the Sun. Due to the larger mass of super-Earths, their physical characteristics may differ from Earth's; theoretical models for super-Earths provide four possible main compositions according to their density: low-density super-Earths are inferred to be composed mainly of hydrogen and helium ( mini-Neptunes ); super-Earths of intermediate density are inferred to either have water as

6942-461: A true temperature of 737 K (464 °C or 867 °F ). Though the atmosphere of Venus traps more heat than Earth's, NASA lists the black-body temperature of Venus based on the fact that Venus has an extremely high albedo ( Bond albedo 0.90, Visual geometric albedo 0.67), giving it a lower black body temperature than the more absorbent (lower albedo ) Earth. Earth's magnetic field results from its flowing liquid metallic core, but in super-Earths

7120-410: A uniform acceleration and a uniform gravitational field. Thus, the theory postulates that the force acting on a massive object caused by a gravitational field is a result of the object's tendency to move in a straight line (in other words its inertia) and should therefore be a function of its inertial mass and the strength of the gravitational field. In theoretical physics , a mass generation mechanism

7298-455: A vacuum, as David Scott did on the surface of the Moon during Apollo 15 . A stronger version of the equivalence principle, known as the Einstein equivalence principle or the strong equivalence principle , lies at the heart of the general theory of relativity . Einstein's equivalence principle states that within sufficiently small regions of spacetime, it is impossible to distinguish between

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7476-731: A vote of 153 to 35. Frei refused to form an alliance with Alessandri to oppose Allende, on the grounds that the Christian Democrats were a workers' party and could not make common cause with the right wing. An economic depression that began in 1972 was exacerbated by capital flight , plummeting private investment, and withdrawal of bank deposits in response to Allende's socialist program. Production fell and unemployment rose. Allende adopted measures including price freezes, wage increases, and tax reforms, to increase consumer spending and redistribute income downward. Joint public-private public works projects helped reduce unemployment. Much of

7654-411: A watery and icy planet. Within this range of radii the super-Earth Gliese 876 d would have a surface gravity between 1.9 g and 3.3g (19 and 32 m/s). However, this planet is not known to transit its host star. The limit between rocky planets and planets with a thick gaseous envelope is calculated with theoretical models. Calculating the effect of the active XUV saturation phase of G-type stars over

7832-515: Is Santiago , and the national language is Spanish . Spain conquered and colonized the region in the mid-16th century, replacing Inca rule , but failed to conquer the independent Mapuche people who inhabited what is now south-central Chile. Chile emerged as a relatively stable authoritarian republic in the 1830s after their 1818 declaration of independence from Spain . During the 19th century, Chile experienced significant economic and territorial growth, putting an end to Mapuche resistance in

8010-555: Is 2.4 times the radius of the Earth and occupies an orbit 15% closer to its star than the Earth to the Sun. This is compensated for, however, as the star, with a spectral type G5V , is slightly dimmer than the Sun (G2V). Thus, surface temperatures would still allow liquid water on its surface. On 5 December 2011, the Kepler team announced that they had discovered 2,326 planetary candidates, of which 207 are similar in size to Earth, 680 are super-Earth-size, 1,181 are Neptune-size, 203 are Jupiter-size and 55 are larger than Jupiter. Compared to

8188-485: Is a balance scale , which balances the force of one object's weight against the force of another object's weight. The two sides of a balance scale are close enough that the objects experience similar gravitational fields. Hence, if they have similar masses then their weights will also be similar. This allows the scale, by comparing weights, to also compare masses. Consequently, historical weight standards were often defined in terms of amounts. The Romans, for example, used

8366-450: Is a theory which attempts to explain the origin of mass from the most fundamental laws of physics . To date, a number of different models have been proposed which advocate different views of the origin of mass. The problem is complicated by the fact that the notion of mass is strongly related to the gravitational interaction but a theory of the latter has not been yet reconciled with the currently popular model of particle physics , known as

8544-419: Is adequate for most of classical mechanics, and sometimes remains in use in basic education, if the priority is to teach the difference between mass from weight.) This traditional "amount of matter" belief was contradicted by the fact that different atoms (and, later, different elementary particles) can have different masses, and was further contradicted by Einstein's theory of relativity (1905), which showed that

8722-483: Is an intrinsic property of a body . It was traditionally believed to be related to the quantity of matter in a body, until the discovery of the atom and particle physics . It was found that different atoms and different elementary particles , theoretically with the same amount of matter, have nonetheless different masses. Mass in modern physics has multiple definitions which are conceptually distinct, but physically equivalent. Mass can be experimentally defined as

8900-557: Is believed to be a result of their coupling with the Higgs boson in what is known as the Brout–Englert–Higgs mechanism . There are several distinct phenomena that can be used to measure mass. Although some theorists have speculated that some of these phenomena could be independent of each other, current experiments have found no difference in results regardless of how it is measured: The mass of an object determines its acceleration in

9078-510: Is in fact much larger and hotter than first reported. Based on the latest Kepler findings, astronomer Seth Shostak estimates "within a thousand light-years of Earth" there are "at least 30,000 of these habitable worlds." Also based on the findings, the Kepler Team has estimated "at least 50 billion planets in the Milky Way" of which "at least 500 million" are in the habitable zone. On 17 August,

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9256-430: Is now Chile. The next Europeans to reach Chile were Diego de Almagro and his band of Spanish conquistadors , who came from Peru in 1535 seeking gold. The Spanish encountered various cultures that supported themselves principally through slash-and-burn agriculture and hunting. The conquest of Chile began in earnest in 1540 and was carried out by Pedro de Valdivia , one of Francisco Pizarro 's lieutenants, who founded

9434-652: Is present-day Chile. Settlement sites from very early human habitation include Monte Verde, Cueva del Milodón and the Pali-Aike Crater 's lava tube . The Incas briefly extended their empire into what is now northern Chile, but the Mapuche (or Araucanians as they were known by the Spaniards) successfully resisted many attempts by the Inca Empire to subjugate them, despite their lack of state organization. They fought against

9612-601: Is suspended under the terms of the Antarctic Treaty , of which Chile is a signatory. It is the world's southernmost country that is geographically on the mainland. Chile controls Easter Island and Sala y Gómez Island, the easternmost islands of Polynesia, which it incorporated to its territory in 1888, and the Juan Fernández Islands , more than 600 km (370 mi) from the mainland. Also controlled but only temporarily inhabited (by some local fishermen) are

9790-408: Is the acceleration due to Earth's gravitational field , (expressed as the acceleration experienced by a free-falling object). For other situations, such as when objects are subjected to mechanical accelerations from forces other than the resistance of a planetary surface, the weight force is proportional to the mass of an object multiplied by the total acceleration away from free fall, which is called

9968-430: Is the basis by which masses are determined by weighing . In simple spring scales , for example, the force F is proportional to the displacement of the spring beneath the weighing pan, as per Hooke's law , and the scales are calibrated to take g into account, allowing the mass M to be read off. Assuming the gravitational field is equivalent on both sides of the balance, a balance measures relative weight, giving

10146-427: Is the gravitational mass ( standard gravitational parameter ) of the body causing gravitational fields, and R is the radial coordinate (the distance between the centers of the two bodies). By finding the exact relationship between a body's gravitational mass and its gravitational field, Newton provided a second method for measuring gravitational mass. The mass of the Earth can be determined using Kepler's method (from

10324-405: Is the largest terrestrial planet in the Solar System, and all larger planets have both at least 14 times the mass of Earth and thick gaseous envelopes without well-defined rocky or watery surfaces; that is, they are either gas giants or ice giants , not terrestrial planets. In January 2016, the existence of a hypothetical super-Earth ninth planet in the Solar System, referred to as Planet Nine ,

10502-471: Is the least massive planet detected by the radial velocity method . The only confirmed radial velocity planet smaller than this planet is Gliese 581e at 1.9 Earth masses (see above). On 24 August, astronomers using ESO's HARPS instrument announced the discovery of a planetary system with up to seven planets orbiting a Sun-like star, HD 10180 , one of which, although not yet confirmed, has an estimated minimum mass of 1.35 ± 0.23 times that of Earth, which would be

10680-410: Is theoretically possible to collect an immense number of small objects and form them into an enormous gravitating sphere. However, from a practical standpoint, the gravitational fields of small objects are extremely weak and difficult to measure. Newton's books on universal gravitation were published in the 1680s, but the first successful measurement of the Earth's mass in terms of traditional mass units,

10858-405: Is unique within this group in its narrowness from east to west, with the other long north–south countries (including Brazil, Russia, Canada, and the United States, among others) all being wider from east to west by a factor of more than 10. Chile also claims 1,250,000 km (480,000 sq mi) of Antarctica as part of its territory ( Chilean Antarctic Territory ). However, this latter claim

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11036-446: Is well above the 10 Earth mass upper limit that is commonly used for the term 'super-Earth' so the term mega-Earth has been proposed. However, in July 2017, more careful analysis of HARPS-N and HIRES data showed that Kepler-10c was much less massive than originally thought, instead around 7.37 (6.18 to 8.69) M E with a mean density of 3.14 g/cm. Instead of a primarily rocky composition,

11214-462: The Cavendish experiment , did not occur until 1797, over a hundred years later. Henry Cavendish found that the Earth's density was 5.448 ± 0.033 times that of water. As of 2009, the Earth's mass in kilograms is only known to around five digits of accuracy, whereas its gravitational mass is known to over nine significant figures. Given two objects A and B, of masses M A and M B , separated by

11392-672: The Kepler Space Observatory mission team released a list of 1235 extrasolar planet candidates , including 68 candidates of approximately "Earth-size" (Rp < 1.25 Re) and 288 candidates of "super-Earth-size" (1.25 Re < Rp < 2 Re). In addition, 54 planet candidates were detected in the " habitable zone ." Six candidates in this zone were less than twice the size of the Earth [namely: KOI 326.01 (Rp=0.85), KOI 701.03 (Rp=1.73), KOI 268.01 (Rp=1.75), KOI 1026.01 (Rp=1.77), KOI 854.01 (Rp=1.91), KOI 70.03 (Rp=1.96) – Table 6] A more recent study found that one of these candidates (KOI 326.01)

11570-495: The Kepler-11 planetary system show that the two innermost planets Kepler-11b and c, whose calculated mass is ≈2 M 🜨 and between ≈5 and 6 M 🜨 respectively (which are within measurement errors), are extremely vulnerable to envelope loss. In particular, the complete removal of the primordial H/He envelope by energetic stellar photons appears almost inevitable in the case of Kepler-11b, regardless of its formation hypothesis. If

11748-508: The Maule river in 1812, but did not include the indigenous population or the inhabitants of the province of Chiloé. The population is estimated at 210,567, 86.1% of whom were Spanish or of European descent, 10% of whom were indigenous and 3.7% of whom were mestizos, blacks and mulattos . A 2021 study by Baten and Llorca-Jaña shows that regions with a relatively high share of North European migrants developed faster in terms of numeracy , even if

11926-653: The OMEGA laboratory at the University of Rochester , show that the magnesium-silicate internal regions of the planet would undergo phase changes under the immense pressures and temperatures of a super-Earth planet, and that the different phases of this liquid magnesium silicate would separate into layers. Further theoretical work by Valencia and others suggests that super-Earths would be more geologically active than Earth, with more vigorous plate tectonics due to thinner plates under more stress. In fact, their models suggested that Earth

12104-690: The Pacific Alliance , and joined the OECD in 2010. There are various theories about the origin of the word Chile . According to 17th-century Spanish chronicler Diego de Rosales , the Incas called the valley of the Aconcagua Chili by corruption of the name of a Picunche tribal chief ( cacique ) called Tili , who ruled the area at the time of the Incan conquest in the 15th century. Another theory points to

12282-587: The Republic of Chile , is a country in western South America . It is the southernmost country in the world and the closest to Antarctica , stretching along a narrow strip of land between the Andes Mountains and the Pacific Ocean . Chile had a population of 17.5 million as of the latest census in 2017 and has a territorial area of 756,102 square kilometers (291,933 sq mi), sharing borders with Peru to

12460-532: The Solar System . On 25 August 1609, Galileo Galilei demonstrated his first telescope to a group of Venetian merchants, and in early January 1610, Galileo observed four dim objects near Jupiter, which he mistook for stars. However, after a few days of observation, Galileo realized that these "stars" were in fact orbiting Jupiter. These four objects (later named the Galilean moons in honor of their discoverer) were

12638-550: The Standard Model . The concept of amount is very old and predates recorded history . The concept of "weight" would incorporate "amount" and acquire a double meaning that was not clearly recognized as such. What we now know as mass was until the time of Newton called “weight.” ... A goldsmith believed that an ounce of gold was a quantity of gold. ... But the ancients believed that a beam balance also measured “heaviness” which they recognized through their muscular senses. ... Mass and its associated downward force were believed to be

12816-405: The carob seed ( carat or siliqua ) as a measurement standard. If an object's weight was equivalent to 1728 carob seeds , then the object was said to weigh one Roman pound. If, on the other hand, the object's weight was equivalent to 144 carob seeds then the object was said to weigh one Roman ounce (uncia). The Roman pound and ounce were both defined in terms of different sized collections of

12994-640: The constitutional referendum , which was put forward by the left-leaning Constitutional Convention . On 17 December 2023, voters rejected a second new constitution proposal in a new constitutional referendum , written by the conservative-led Constitutional Council . A long and narrow coastal Southern Cone country on the west side of the Andes Mountains , Chile stretches over 4,300 km (2,670 mi) north to south, but only 350 km (217 mi) at its widest point east to west and 64 km (40 mi) at its narrowest point east to west, with an average width of 175 km (109 mi). This encompasses

13172-492: The elementary charge . Non-SI units accepted for use with SI units include: Outside the SI system, other units of mass include: In physical science , one may distinguish conceptually between at least seven different aspects of mass , or seven physical notions that involve the concept of mass . Every experiment to date has shown these seven values to be proportional , and in some cases equal, and this proportionality gives rise to

13350-442: The melting point of ice. However, because precise measurement of a cubic decimetre of water at the specified temperature and pressure was difficult, in 1889 the kilogram was redefined as the mass of a metal object, and thus became independent of the metre and the properties of water, this being a copper prototype of the grave in 1793, the platinum Kilogramme des Archives in 1799, and the platinum–iridium International Prototype of

13528-416: The proper acceleration . Through such mechanisms, objects in elevators, vehicles, centrifuges, and the like, may experience weight forces many times those caused by resistance to the effects of gravity on objects, resulting from planetary surfaces. In such cases, the generalized equation for weight W of an object is related to its mass m by the equation W = – ma , where a is the proper acceleration of

13706-453: The torsion balance pendulum, in 1889. As of 2008 , no deviation from universality, and thus from Galilean equivalence, has ever been found, at least to the precision 10 . More precise experimental efforts are still being carried out. The universality of free-fall only applies to systems in which gravity is the only acting force. All other forces, especially friction and air resistance , must be absent or at least negligible. For example, if

13884-444: The "Galilean equivalence principle" or the " weak equivalence principle " has the most important consequence for freely falling objects. Suppose an object has inertial and gravitational masses m and M , respectively. If the only force acting on the object comes from a gravitational field g , the force on the object is: Given this force, the acceleration of the object can be determined by Newton's second law: Putting these together,

14062-400: The 17th century have demonstrated that inertial and gravitational mass are identical; since 1915, this observation has been incorporated a priori in the equivalence principle of general relativity . The International System of Units (SI) unit of mass is the kilogram (kg). The kilogram is 1000 grams (g), and was first defined in 1795 as the mass of one cubic decimetre of water at

14240-494: The 1880s and gaining its current northern territory in the War of the Pacific (1879–83) by defeating Peru and Bolivia. In the 20th century, up until the 1970s, Chile underwent a process of democratization and experienced rapid population growth and urbanization , while relying increasingly on exports from copper mining to support its economy . During the 1960s and 1970s, the country

14418-542: The December 2017 presidential election . On 27 February 2010, Chile was struck by an 8.8 M w earthquake , the fifth largest ever recorded at the time. More than 500 people died (most from the ensuing tsunami ) and over a million people lost their homes. The earthquake was also followed by multiple aftershocks. Initial damage estimates were in the range of US$ 15–30 billion, around 10% to 15% of Chile's real gross domestic product. Chile achieved global recognition for

14596-504: The Earth". Another origin attributed to chilli is the onomatopoeic cheele-cheele —the Mapuche imitation of the warble of a bird locally known as trile . The Spanish conquistadors heard about this name from the Incas, and the few survivors of Diego de Almagro 's first Spanish expedition south from Peru in 1535–36 called themselves the "men of Chilli". Ultimately, Almagro is credited with

14774-473: The February 2011 figures, the number of Earth-size and super-Earth-size planets increased by 200% and 140% respectively. Moreover, 48 planet candidates were found in the habitable zones of surveyed stars, marking a decrease from the February figure; this was due to the more stringent criteria in use in the December data. In 2011, a density of 55 Cancri e was calculated which turned out to be similar to Earth's. At

14952-654: The Kilogram (IPK) in 1889. However, the mass of the IPK and its national copies have been found to drift over time. The re-definition of the kilogram and several other units came into effect on 20 May 2019, following a final vote by the CGPM in November 2018. The new definition uses only invariant quantities of nature: the speed of light , the caesium hyperfine frequency , the Planck constant and

15130-813: The Popular Unity platform also called for nationalization of Chile's major copper mines in the form of a constitutional amendment. The measure was passed unanimously by Congress. As a result, the Richard Nixon administration organized and inserted secret operatives in Chile, in order to swiftly destabilize Allende's government. In addition, US financial pressure restricted international economic credit to Chile. The economic problems were also exacerbated by Allende's public spending, financed mostly through printing money, and by poor credit ratings given by commercial banks. Simultaneously, opposition media, politicians, business guilds and other organizations helped to accelerate

15308-678: The Sapa Inca Tupac Yupanqui and his army. The result of the bloody three-day confrontation known as the Battle of the Maule was that the Inca conquest of the territories of Chile ended at the Maule river . In 1520, while attempting to circumnavigate the globe, Ferdinand Magellan discovered the southern passage now named after him (the Strait of Magellan ) thus becoming the first European to set foot on what

15486-411: The Solar System's four inner planets, a new and significant discovery. COROT-7b, discovered right after HD 7924 b , is the first super-Earth discovered that orbits a main sequence star that is G class or larger. The discovery of Gliese 581e with a minimum mass of 1.9 Earth masses was announced on 21 April 2009. It was at the time the smallest extrasolar planet discovered around a normal star and

15664-522: The Spanish monarchy (in memory of this day, Chile celebrates its National Day on 18 September each year). After these events, a movement for total independence, under the command of José Miguel Carrera (one of the most renowned patriots) and his two brothers Juan José and Luis Carrera , soon gained a wider following. Spanish attempts to re-impose arbitrary rule during what was called the Reconquista led to

15842-508: The Super-Earth GJ 1214 b ), or even to rocky planets known as chthonian planets (after migrating towards the proximity of their parent star). The amount of the outermost layers that is lost depends on the size and the material of the planet and the distance from the star. In a typical system, a gas giant orbiting 0.02 AU around its parent star loses 5–7% of its mass during its lifetime, but orbiting closer than 0.015 AU can mean evaporation of

16020-692: The War of the Pacific, Chile became a Naval Power in the Americas, even sending a ship in protests in the Panama crisis of 1885 against the United States intervention in the then Colombian territory. The United States and Chile had the Baltimore crisis which almost became a war as Chile was a potential threat to the intentions of hegemony from the United States in the Western Hemisphere. In 1902 Chile and Argentina received

16198-428: The abstract concept of mass. There are a number of ways mass can be measured or operationally defined : In everyday usage, mass and " weight " are often used interchangeably. For instance, a person's weight may be stated as 75 kg. In a constant gravitational field, the weight of an object is proportional to its mass, and it is unproblematic to use the same unit for both concepts. But because of slight differences in

16376-470: The armed forces bombarded the presidential palace , Allende apparently committed suicide. After the coup, Henry Kissinger told U.S. president Richard Nixon that the United States had "helped" the coup. In 1970, when Allende was first elected, Henry Kissinger had stated "I don't see why we need to stand by and watch a country go Communist due to the irresponsibility of its own people". A military junta, led by General Augusto Pinochet , took control of

16554-432: The atmospheres, albedo and greenhouse effects of super-Earths are unknown, the surface temperatures are unknown and generally only an equilibrium temperature is given. For example, the black-body temperature of the Earth is 255.3 K (−18 °C or 0 °F ). It is the greenhouse gases that keep the Earth warmer. Venus has a black-body temperature of only 184.2 K (−89 °C or −128 °F ) even though Venus has

16732-621: The banking sector was nationalized . Many enterprises within the copper , coal, iron, nitrate , and steel industries were expropriated , nationalized, or subjected to state intervention. Industrial output increased sharply and unemployment fell during the Allende administration's first year. Allende's program included advancement of workers' interests, replacing the judicial system with "socialist legality", nationalization of banks and forcing others to bankruptcy, and strengthening "popular militias" known as MIR. Started under former President Frei,

16910-443: The bulk composition of the super-Earths. A study on Gliese 876 d by a team around Diana Valencia revealed that it would be possible to infer from a radius measured by the transit method of detecting planets and the mass of the relevant planet what the structural composition is. For Gliese 876 d, calculations range from 9,200 km (1.4 Earth radii) for a rocky planet and very large iron core to 12,500 km (2.0 Earth radii) for

17088-543: The candidate of a coalition of 17 political parties called the Concertación , received an absolute majority of votes (55%). President Aylwin served from 1990 to 1994, in what was considered a transition period. In December 1993, Christian Democrat Eduardo Frei Ruiz-Tagle , the son of previous president Eduardo Frei Montalva, led the Concertación coalition to victory with an absolute majority of votes (58%). Frei Ruiz-Tagle

17266-559: The city of Santiago on 12 February 1541. Although the Spanish did not find the extensive gold and silver they sought, they recognized the agricultural potential of Chile's central valley, and Chile became part of the Spanish Empire . Conquest took place gradually, and the Europeans suffered repeated setbacks. A massive Mapuche insurrection that began in 1553 resulted in Valdivia's death and

17444-405: The classical theory offers no compelling reason why the gravitational mass has to equal the inertial mass. That it does is merely an empirical fact. Albert Einstein developed his general theory of relativity starting with the assumption that the inertial and passive gravitational masses are the same. This is known as the equivalence principle . The particular equivalence often referred to as

17622-448: The closest in mass to Earth. Being at an orbital distance of just 0.03 AU and orbiting its star in just 3.15 days, it is not in the habitable zone, and may have 100 times more tidal heating than Jupiter's volcanic satellite Io . A planet found in December 2009, GJ 1214 b , is 2.7 times as large as Earth and orbits a star much smaller and less luminous than the Sun. "This planet probably does have liquid water," said David Charbonneau,

17800-506: The colony in addition to the Mapuche, as was shown by Sir Francis Drake 's 1578 raid on Valparaíso, the colony's principal port. Chile hosted one of the largest standing armies in the Americas, making it one of the most militarized of the Spanish possessions, as well as a drain on the treasury of the Viceroyalty of Peru . The first general census was conducted by the government of Agustín de Jáuregui between 1777 and 1778; it indicated that

17978-730: The command of John Williams Wilson , the Magallanes Region started to be controlled by country in 1843 , while the Antofagasta Region , at the time in dispute with Bolivia , began to fill with people. After the Chilean Civil War of 1829–1830 in which the conservatives won, under the Joaquín Prieto Administration, the Chilean Constitution of 1833 was written and put into effect with high influence from

18156-408: The country to renounce to its claims in the rest of East Patagonia after a dispute that started in 1842 . As a result of the War of the Pacific with Peru and Bolivia (1879–83), Chile expanded its territory northward by almost one-third, eliminating Bolivia's access to the Pacific, and acquired valuable nitrate deposits, the exploitation of which led to an era of national affluence. Chile had joined

18334-782: The country, several hundred committed Chilean revolutionaries joined the Sandinista army in Nicaragua , guerrilla forces in Argentina or training camps in Cuba , Eastern Europe and Northern Africa. In the late 1980s, largely as a result of events such as the 1982 economic collapse and mass civil resistance in 1983–88, the government gradually permitted greater freedom of assembly, speech , and association, to include trade union and political activity. The government launched market-oriented reforms with Hernán Büchi as Minister of Finance. Chile moved toward

18512-608: The country. The years of the regime were marked by human rights violations . Chile actively participated in Operation Condor . In October 1973, at least 72 people were murdered by the Caravan of Death . According to the Rettig Report and Valech Commission , at least 2,115 were killed, and at least 27,265 were tortured (including 88 children younger than 12 years old). In 2011, Chile recognized an additional 9,800 victims, bringing

18690-520: The destruction of many of the colony's principal settlements. Subsequent major insurrections took place in 1598 and in 1655. Each time the Mapuche and other native groups revolted, the southern border of the colony was driven northward. The abolition of slavery by the Spanish crown in 1683 was done in recognition that enslaving the Mapuche intensified resistance rather than cowing them into submission. Despite royal prohibitions, relations remained strained from continual colonialist interference. Cut off to

18868-511: The detection of Proxima b , an Earth-sized exoplanet that is in the habitable zone of the red dwarf star Proxima Centauri , the closest star to the Sun . Due to its closeness to Earth , Proxima b may be a flyby destination for a fleet of interstellar StarChip spacecraft currently being developed by the Breakthrough Starshot project. In February 2018, K2-141b, a rocky ultra-short period planet (USP) Super-Earth, with

19046-403: The discovery of Kepler-69c (formerly KOI-172.02 ), an Earth -like exoplanet candidate (1.5 times the radius of Earth) orbiting a star similar to the Sun in the habitable zone and possibly a "prime candidate to host alien life ". In April 2013, using observations by NASA's Kepler mission team led by William Borucki , of the agency's Ames Research Center, found five planets orbiting in

19224-525: The discovery of silver ore in Chañarcillo, and the growing trade of the port of Valparaíso, which led to conflict over maritime supremacy in the Pacific with Peru. At the same time, attempts were made to strengthen sovereignty in southern Chile intensifying penetration into Araucanía and colonizing Llanquihue with German immigrants in 1848. Through the founding of Fort Bulnes by the Schooner Ancud under

19402-470: The double of the distance between the two bodies. Hooke urged Newton, who was a pioneer in the development of calculus , to work through the mathematical details of Keplerian orbits to determine if Hooke's hypothesis was correct. Newton's own investigations verified that Hooke was correct, but due to personal differences between the two men, Newton chose not to reveal this to Hooke. Isaac Newton kept quiet about his discoveries until 1684, at which time he told

19580-434: The elapsed time could be measured. The ball was allowed to roll a known distance down the ramp, and the time taken for the ball to move the known distance was measured. The time was measured using a water clock described as follows: Galileo found that for an object in free fall, the distance that the object has fallen is always proportional to the square of the elapsed time: Galileo had shown that objects in free fall under

19758-658: The end of his term, Frei had not fully achieved his party's ambitious goals. In the 1970 election, Senator Salvador Allende of the Socialist Party of Chile (then part of the " Popular Unity " coalition which included the Communists, Radicals, Social-Democrats, dissident Christian Democrats, the Popular Unitary Action Movement, and the Independent Popular Action), achieved a partial majority in

19936-534: The essence of the stratified colonial social structure, which was greatly influenced by family politics and the Roman Catholic Church . A strong presidency eventually emerged, but wealthy landowners remained powerful. Bernardo O'Higgins once planned to expand Chile by liberating the Philippines from Spain and incorporating the islands. In this regard he tasked the Scottish naval officer, Lord Thomas Cochrane, in

20114-497: The exact number of carob seeds that would be required to produce a gravitational field similar to that of the Earth or Sun. In fact, by unit conversion it is a simple matter of abstraction to realize that any traditional mass unit can theoretically be used to measure gravitational mass. Measuring gravitational mass in terms of traditional mass units is simple in principle, but extremely difficult in practice. According to Newton's theory, all objects produce gravitational fields and it

20292-410: The feather should hit the ground at exactly the same time (assuming the acceleration of both objects towards each other, and of the ground towards both objects, for its own part, is negligible). This can easily be done in a high school laboratory by dropping the objects in transparent tubes that have the air removed with a vacuum pump. It is even more dramatic when done in an environment that naturally has

20470-404: The first celestial bodies observed to orbit something other than the Earth or Sun. Galileo continued to observe these moons over the next eighteen months, and by the middle of 1611, he had obtained remarkably accurate estimates for their periods. Sometime prior to 1638, Galileo turned his attention to the phenomenon of objects in free fall, attempting to characterize these motions. Galileo was not

20648-402: The first paragraph of Principia , Newton defined quantity of matter as “density and bulk conjunctly”, and mass as quantity of matter. The quantity of matter is the measure of the same, arising from its density and bulk conjunctly. ... It is this quantity that I mean hereafter everywhere under the name of body or mass. And the same is known by the weight of each body; for it is proportional to

20826-631: The first rightist President in 20 years, defeating former President Eduardo Frei Ruiz-Tagle of the Concertación , for a four-year term succeeding Bachelet. Due to term limits, Sebastián Piñera did not stand for re-election in 2013, and his term expired in March 2014 resulting in Michelle Bachelet returning to office. Sebastián Piñera succeeded Bachelet again in 2018 as the President of Chile after winning

21004-436: The first to investigate Earth's gravitational field, nor was he the first to accurately describe its fundamental characteristics. However, Galileo's reliance on scientific experimentation to establish physical principles would have a profound effect on future generations of scientists. It is unclear if these were just hypothetical experiments used to illustrate a concept, or if they were real experiments performed by Galileo, but

21182-577: The forces of magma to break the crust into plates. New research suggests that the rocky centres of super-Earths are unlikely to evolve into terrestrial rocky planets like the inner planets of the Solar System because they appear to hold on to their large atmospheres. Rather than evolving into a planet composed mainly of rock with a thin atmosphere, the small rocky core remains engulfed by its large hydrogen-rich envelope. Theoretical models show that Hot Jupiters and Hot Neptunes can evolve by hydrodynamic loss of their atmospheres to Mini-Neptunes (as it could be

21360-560: The gap between Galileo's gravitational acceleration and Kepler's elliptical orbits. It appeared in Newton's 1728 book A Treatise of the System of the World . According to Galileo's concept of gravitation, a dropped stone falls with constant acceleration down towards the Earth. However, Newton explains that when a stone is thrown horizontally (meaning sideways or perpendicular to Earth's gravity) it follows

21538-421: The gravitational acceleration is given by: This says that the ratio of gravitational to inertial mass of any object is equal to some constant K if and only if all objects fall at the same rate in a given gravitational field. This phenomenon is referred to as the "universality of free-fall". In addition, the constant K can be taken as 1 by defining our units appropriately. The first experiments demonstrating

21716-405: The habitable zone of a Sun-like star, Kepler-62 , 1,200 light years from Earth. These new super-Earths have radii of 1.3, 1.4, 1.6, and 1.9 times that of Earth. Theoretical modelling of two of these super-Earths, Kepler-62e and Kepler-62f , suggests both could be solid, either rocky or rocky with frozen water. On 25 June 2013, three "super Earth" planets have been found orbiting a nearby star at

21894-580: The influence of the Earth's gravitational field have a constant acceleration, and Galileo's contemporary, Johannes Kepler, had shown that the planets follow elliptical paths under the influence of the Sun's gravitational mass. However, Galileo's free fall motions and Kepler's planetary motions remained distinct during Galileo's lifetime. According to K. M. Browne: "Kepler formed a [distinct] concept of mass ('amount of matter' ( copia materiae )), but called it 'weight' as did everyone at that time." Finally, in 1686, Newton gave this distinct concept its own name. In

22072-437: The loss of the primitive nebula-captured hydrogen envelopes in extrasolar planets, it's obtained that planets with a core mass of more than 1.5 Earth-mass (1.15 Earth-radius max.), most likely cannot get rid of their nebula captured hydrogen envelopes during their whole lifetime. Other calculations point out that the limit between envelope-free rocky super-Earths and sub-Neptunes is around 1.75 Earth-radii, as 2 Earth-radii would be

22250-470: The lowest mass of any exoplanet found to date orbiting a main-sequence star. Although unconfirmed, there is a 98.6% probability that this planet does exist. The National Science Foundation announced on 29 September the discovery of a fourth super-Earth ( Gliese 581g ) orbiting within the Gliese 581 planetary system. The planet has a minimum mass 3.1 times that of Earth and a nearly circular orbit at 0.146 AU with

22428-506: The mass can produce high pressures with large viscosities and high melting temperatures, which could prevent the interiors from separating into different layers and so result in undifferentiated coreless mantles. Magnesium oxide, which is rocky on Earth, can be a liquid metal at the pressures and temperatures found in super-Earths and could generate a magnetic field in the mantles of super-Earths. That said, super-Earth magnetic fields are yet to be detected observationally. Mass Mass

22606-503: The measurable mass of an object increases when energy is added to it (for example, by increasing its temperature or forcing it near an object that electrically repels it.) This motivates a search for a different definition of mass that is more accurate than the traditional definition of "the amount of matter in an object". Chile Chile ( / ˈ tʃ ɪ l i / CHIL -ee or / ˈ tʃ ɪ l eɪ / CHIL -ay , Spanish: [ˈtʃile] ), officially

22784-426: The more accurately determined mass of Kepler-10c suggests a world made almost entirely of volatiles, mainly water. On 6 January 2015, NASA announced the 1000th confirmed exoplanet discovered by the Kepler space telescope. Three of the newly confirmed exoplanets were found to orbit within habitable zones of their related stars : two of the three, Kepler-438b and Kepler-442b , are near-Earth-size and likely rocky;

22962-544: The motion of bodies in an orbit"). Halley presented Newton's findings to the Royal Society of London, with a promise that a fuller presentation would follow. Newton later recorded his ideas in a three-book set, entitled Philosophiæ Naturalis Principia Mathematica (English: Mathematical Principles of Natural Philosophy ). The first was received by the Royal Society on 28 April 1685–86; the second on 2 March 1686–87; and

23140-403: The nearby gravitational field. No matter how strong the gravitational field, objects in free fall are weightless , though they still have mass. The force known as "weight" is proportional to mass and acceleration in all situations where the mass is accelerated away from free fall. For example, when a body is at rest in a gravitational field (rather than in free fall), it must be accelerated by

23318-652: The north by desert, to the south by the Mapuche, to the east by the Andes Mountains, and to the west by the ocean, Chile became one of the most centralized, homogeneous territories in Spanish America. Serving as a sort of frontier garrison , the colony found itself with the mission of forestalling encroachment by both the Mapuche and Spain's European enemies, especially the English and the Dutch . Buccaneers and pirates menaced

23496-526: The north, Bolivia to the northeast, Argentina to the east, and the Drake Passage to the south. The country also controls several Pacific islands, including Juan Fernández , Isla Salas y Gómez , Desventuradas , and Easter Island , and claims about 1,250,000 square kilometers (480,000 sq mi) of Antarctica as the Chilean Antarctic Territory . The capital and largest city of Chile

23674-509: The object caused by all influences other than gravity. (Again, if gravity is the only influence, such as occurs when an object falls freely, its weight will be zero). Although inertial mass, passive gravitational mass and active gravitational mass are conceptually distinct, no experiment has ever unambiguously demonstrated any difference between them. In classical mechanics , Newton's third law implies that active and passive gravitational mass must always be identical (or at least proportional), but

23852-430: The object from going into free fall. By contrast, on the surface of the Moon, the same object still has a mass of 50 kilograms but weighs only 81.5 newtons, because only 81.5 newtons is required to keep this object from going into a free fall on the moon. Restated in mathematical terms, on the surface of the Earth, the weight W of an object is related to its mass m by W = mg , where g = 9.80665 m/s

24030-412: The orbit of Earth's Moon), or it can be determined by measuring the gravitational acceleration on the Earth's surface, and multiplying that by the square of the Earth's radius. The mass of the Earth is approximately three-millionths of the mass of the Sun. To date, no other accurate method for measuring gravitational mass has been discovered. Newton's cannonball was a thought experiment used to bridge

24208-433: The overall number of migrants was small. This effect might be related to externalities : the surrounding population adopted a similar behavior as the small non-European immigrant group, and new schools were created. Ironically, there might have been positive spillover effects from the educational investment made by migrants, at the same time numeracy might have been reduced by the greater inequality in these regions. However,

24386-495: The planet is at least 6.1 M E . In 2021, the exoplanet G 9-40 b was discovered. In 2022, the discovery of a super-Earth around the red dwarf star Ross 508 was reported. Part of the planet's elliptical orbit takes it within the habitable zone . On 31 January 2024 NASA reported the discovery of a super-Earth called TOI-715 b located in the habitable zone of a red dwarf star about 137 light-years away. The Solar System contains no known super-Earths, because Earth

24564-409: The planets orbit the Sun. In Kepler's final planetary model, he described planetary orbits as following elliptical paths with the Sun at a focal point of the ellipse . Kepler discovered that the square of the orbital period of each planet is directly proportional to the cube of the semi-major axis of its orbit, or equivalently, that the ratio of these two values is constant for all planets in

24742-536: The popular media. The term "super-Earth" is also used by astronomers to refer to planets bigger than Earth-like planets (from 0.8 to 1.2 Earth-radius), but smaller than mini-Neptunes (from 2 to 4 Earth-radii). This definition was made by the Kepler space telescope personnel. Some authors further suggest that the term Super-Earth might be limited to rocky planets without a significant atmosphere, or planets that have not just atmospheres but also solid surfaces or oceans with

24920-402: The population consisted of 259,646 inhabitants: 73.5% of European descent , 7.9% mestizos , 8.6% indigenous peoples and 9.8% blacks. Francisco Hurtado, Governor of the province of Chiloé , conducted a census in 1784 and found the population consisted of 26,703 inhabitants, 64.4% of whom were whites and 33.5% of whom were natives. The Diocese of Concepción conducted a census in areas south of

25098-455: The positive effects of immigration were apparently stronger. In 1808, Napoleon's enthronement of his brother Joseph as the Spanish King precipitated the drive by Chile for independence from Spain . A national junta in the name of Ferdinand – heir to the deposed king – was formed on 18 September 1810. The Government Junta of Chile proclaimed an autonomous government for Chile within

25276-400: The presence of an applied force. The inertia and the inertial mass describe this property of physical bodies at the qualitative and quantitative level respectively. According to Newton's second law of motion , if a body of fixed mass m is subjected to a single force F , its acceleration a is given by F / m . A body's mass also determines the degree to which it generates and is affected by

25454-515: The proximity of Gliese 876 d to its host star (a red dwarf ), it may have a surface temperature of 430–650 kelvin and be too hot to support liquid water. In April 2007, a team headed by Stéphane Udry based in Switzerland announced the discovery of two new super-Earths within the Gliese 581 planetary system , both on the edge of the habitable zone around the star where liquid water may be possible on

25632-464: The relative gravitation mass of each object. Mass was traditionally believed to be a measure of the quantity of matter in a physical body, equal to the "amount of matter" in an object. For example, Barre´ de Saint-Venant argued in 1851 that every object contains a number of "points" (basically, interchangeable elementary particles), and that mass is proportional to the number of points the object contains. (In practice, this "amount of matter" definition

25810-547: The result from the arbitral award of the Andes resolved by the British Crown . In 1903 the Puna de Atacama dispute was solved. In 1904 Chile and Bolivia signed a Treaty of Peace and Friendship which clarified the border between both countries. The Chilean economy partially degenerated into a system protecting the interests of a ruling oligarchy . By the 1920s, the emerging middle and working classes were powerful enough to elect

25988-547: The results obtained from these experiments were both realistic and compelling. A biography by Galileo's pupil Vincenzo Viviani stated that Galileo had dropped balls of the same material, but different masses, from the Leaning Tower of Pisa to demonstrate that their time of descent was independent of their mass. In support of this conclusion, Galileo had advanced the following theoretical argument: He asked if two bodies of different masses and different rates of fall are tied by

26166-448: The same European research team announced a planet 7.5 times the mass of Earth orbiting the star HD 181433 . This star also has a Jupiter-like planet that orbits it every three years. Planet COROT-7b , with a mass estimated at 4.8 Earth masses and an orbital period of only 0.853 days, was announced on 3 February 2009. The density estimate obtained for COROT-7b points to a composition including rocky silicate minerals similar to that of

26344-503: The same common mass standard, the carob seed. The ratio of a Roman ounce (144 carob seeds) to a Roman pound (1728 carob seeds) was: In 1600 AD, Johannes Kepler sought employment with Tycho Brahe , who had some of the most precise astronomical data available. Using Brahe's precise observations of the planet Mars, Kepler spent the next five years developing his own method for characterizing planetary motion. In 1609, Johannes Kepler published his three laws of planetary motion, explaining how

26522-407: The same thing. Humans, at some early era, realized that the weight of a collection of similar objects was directly proportional to the number of objects in the collection: where W is the weight of the collection of similar objects and n is the number of objects in the collection. Proportionality, by definition, implies that two values have a constant ratio : An early use of this relationship

26700-445: The shortest orbit is HD 219134 b , and is Earth's closest known rocky, and transiting, exoplanet. In February 2016, it was announced that NASA 's Hubble Space Telescope had detected hydrogen and helium (and suggestions of hydrogen cyanide ), but no water vapor , in the atmosphere of 55 Cancri e , the first time the atmosphere of a super-Earth exoplanet was analyzed successfully. In August 2016, astronomers announced

26878-647: The similarity of the valley of the Aconcagua with that of the Casma Valley in Peru, where there was a town and valley named Chili . Other theories say Chile may derive its name from a Native American word meaning either 'ends of the earth' or 'sea gulls'; from the Mapuche word chilli , which may mean 'where the land ends'" or from the Quechua chiri , 'cold', or tchili , meaning either 'snow' or "the deepest point of

27056-445: The size of about 2 Earth radii, it was the largest planet until 2014, which was determined to lack a significant hydrogen atmosphere. On 20 December 2011, the Kepler team announced the discovery of the first Earth-size exoplanets, Kepler-20e and Kepler-20f, orbiting a Sun-like star, Kepler-20 . Planet Gliese 667 Cb (GJ 667 Cb) was announced by HARPS on 19 October 2009, together with 29 other planets, while Gliese 667 Cc (GJ 667 Cc)

27234-475: The small islands of San Ambrosio and San Felix . These islands are notable because they extend Chile's claim to territorial waters out from its coast into the Pacific Ocean. The northern Atacama Desert contains great mineral wealth, primarily copper and nitrates . The relatively small Central Valley, which includes Santiago, dominates the country in terms of population and agricultural resources. This area

27412-441: The square of the distance to the body's center. For example, according to Newton's theory of universal gravitation, each carob seed produces a gravitational field. Therefore, if one were to gather an immense number of carob seeds and form them into an enormous sphere, then the gravitational field of the sphere would be proportional to the number of carob seeds in the sphere. Hence, it should be theoretically possible to determine

27590-590: The stand as one of the high-income countries in South America by 1870. On 9 September 1888, Chile took possession of Easter Island by the signing of a mutual will agreement with the local king, thanks to the efforts of the Bishop of Tahiti, Monsignor José María Verdier since the island was constantly attacked by slave merchants. The naval officer Policarpo Toro represented the Chilean Government and Atamu Tekena

27768-501: The strength of the Earth's gravitational field at different places, the distinction becomes important for measurements with a precision better than a few percent, and for places far from the surface of the Earth, such as in space or on other planets. Conceptually, "mass" (measured in kilograms ) refers to an intrinsic property of an object, whereas "weight" (measured in newtons ) measures an object's resistance to deviating from its current course of free fall , which can be influenced by

27946-523: The successful rescue of 33 trapped miners in 2010. On 5 August 2010, the access tunnel collapsed at the San José copper and gold mine in the Atacama Desert near Copiapó in northern Chile, trapping 33 men 700 meters (2,300 ft) below ground. A rescue effort organized by the Chilean government located the miners 17 days later. All 33 men were brought to the surface two months later on 13 October 2010 over

28124-499: The surface. With Gliese 581c having a mass of at least 5 Earth masses and a distance from Gliese 581 of 0.073 astronomical units (6.8 million mi, 11 million km), it is on the "warm" edge of the habitable zone around Gliese 581 with an estimated mean temperature (without considering effects from an atmosphere) of −3 degrees Celsius with an albedo comparable to Venus and 40 degrees Celsius with an albedo comparable to Earth. Subsequent research suggested Gliese 581c had likely suffered

28302-438: The system have masses approximately four times Earth—too small to be gas giants. The first super-Earth around a main-sequence star was discovered by a team under Eugenio Rivera in 2005. It orbits Gliese 876 and received the designation Gliese 876 d (two Jupiter-sized gas giants had previously been discovered in that system). It has an estimated mass of 7.5 Earth masses and a very short orbital period of about 2 days. Due to

28480-497: The third on 6 April 1686–87. The Royal Society published Newton's entire collection at their own expense in May 1686–87. Isaac Newton had bridged the gap between Kepler's gravitational mass and Galileo's gravitational acceleration, resulting in the discovery of the following relationship which governed both of these: where g is the apparent acceleration of a body as it passes through a region of space where gravitational fields exist, μ

28658-455: The third, Kepler-440b , is a super-Earth. On 30 July 2015, Astronomy & Astrophysics said they found a planetary system with three super-Earths orbiting a bright, dwarf star. The four-planet system, dubbed HD 219134 , had been found 21 light years from Earth in the M-shaped northern hemisphere of constellation Cassiopeia , but it is not in the habitable zone of its star. The planet with

28836-492: The top of a high mountain" with sufficient velocity, "it would reach at last quite beyond the circumference of the Earth, and return to the mountain from which it was projected." In contrast to earlier theories (e.g. celestial spheres ) which stated that the heavens were made of entirely different material, Newton's theory of mass was groundbreaking partly because it introduced universal gravitational mass : every object has gravitational mass, and therefore, every object generates

29014-448: The total number of killed, tortured or imprisoned for political reasons to 40,018. At the national stadium, filled with detainees, one of those tortured and killed was internationally known poet-singer Víctor Jara (see "Music and Dance", below). A new Constitution was approved by a controversial plebiscite on 11 September 1980, and General Pinochet became president of the republic for an eight-year term. After Pinochet obtained rule of

29192-506: The triple minister Diego Portales . Two other civil wars happened in Chile in the 1850s, one in 1851 and the other one in 1859 . Toward the end of the 19th century, the government in Santiago consolidated its position in the south by the Occupation of Araucanía . The Boundary treaty of 1881 between Chile and Argentina confirmed Chilean sovereignty over the Strait of Magellan but also made

29370-459: The universality of free-fall were—according to scientific 'folklore'—conducted by Galileo obtained by dropping objects from the Leaning Tower of Pisa . This is most likely apocryphal: he is more likely to have performed his experiments with balls rolling down nearly frictionless inclined planes to slow the motion and increase the timing accuracy. Increasingly precise experiments have been performed, such as those performed by Loránd Eötvös , using

29548-575: The universalization of the name Chile , after naming the Mapocho valley as such. The older spelling "Chili" was in use in English until the early 20th century before switching to "Chile". Stone tool evidence indicates humans sporadically frequented the Monte Verde valley area as long as 18,500 years ago. About 10,000 years ago, migrating Indigenous peoples settled in fertile valleys and coastal areas of what

29726-451: The upper limit to be rocky (a planet with 2 Earth-radii and 5 Earth-masses with a mean Earth-like core composition would imply that 1/200 of its mass would be in a H/He envelope, with an atmospheric pressure near to 2.0 GPa or 20,000 bar). Whether or not the primitive nebula-captured H/He envelope of a super-Earth is entirely lost after formation also depends on the orbital distance. For example, formation and evolution calculations of

29904-535: The weight. Robert Hooke had published his concept of gravitational forces in 1674, stating that all celestial bodies have an attraction or gravitating power towards their own centers, and also attract all the other celestial bodies that are within the sphere of their activity. He further stated that gravitational attraction increases by how much nearer the body wrought upon is to its own center. In correspondence with Isaac Newton from 1679 and 1680, Hooke conjectured that gravitational forces might decrease according to

30082-404: The whole planet except for its core. The low densities inferred from observations imply that a fraction of the super-Earth population has substantial H/He envelopes, which may have been even more massive soon after formation. Therefore, contrary to the terrestrial planets of the solar system, these super-Earths must have formed during the gas-phase of their progenitor protoplanetary disk . Since

30260-519: Was a de facto dictatorship (although not really comparable in harshness or corruption to the type of military dictatorship that have often bedeviled the rest of Latin America). By relinquishing power to a democratically elected successor, Ibáñez del Campo retained the respect of a large enough segment of the population to remain a viable politician for more than thirty years, in spite of the vague and shifting nature of his ideology. When constitutional rule

30438-437: Was included in a paper published on 21 November 2011. More detailed data on Gliese 667 Cc were published in early February 2012. In September 2012, the discovery of two planets orbiting Gliese 163 was announced. One of the planets, Gliese 163 c , about 6.9 times the mass of Earth and somewhat hotter, was considered to be within the habitable zone . On 7 January 2013, astronomers from the Kepler space observatory announced

30616-476: Was itself a "borderline" case, just barely large enough to sustain plate tectonics. These findings were corroborated by van Heck et al., who determined that plate tectonics may be more likely on super-Earths than on Earth itself, assuming similar composition. However, other studies determined that strong convection currents in the mantle acting on strong gravity would make the crust stronger and thus inhibit plate tectonics. The planet's surface would be too strong for

30794-422: Was marked by severe left-right political polarization and turmoil, which culminated in the 1973 Chilean coup d'état that overthrew Salvador Allende 's democratically elected left-wing government . This was followed by a 16-year right-wing military dictatorship under Augusto Pinochet , which resulted in more than 3,000 deaths or disappearances . The regime ended in 1990, following a referendum in 1988 , and

30972-408: Was proposed as an explanation for the orbital behavior of six trans-Neptunian objects , but it is speculated to also be an ice giant like Uranus or Neptune. A refined model in 2019 constrains it to around five Earth masses; planets of this mass are probably mini-Neptunes. The fact that there are barely any asteroids or planetesimals inside the orbit of Mercury led some astronomers believing that

31150-627: Was restored in 1932, a strong middle-class party, the Radicals, emerged. It became the key force in coalition governments for the next 20 years. During the period of Radical Party dominance (1932–52), the state increased its role in the economy. In 1952, voters returned Ibáñez del Campo to office for another six years. Jorge Alessandri succeeded Ibáñez del Campo in 1958, bringing Chilean conservatism back into power democratically for another term. The 1964 presidential election of Christian Democrat Eduardo Frei Montalva by an absolute majority initiated

31328-601: Was succeeded by a center-left coalition , which ruled until 2010. Chile is a developing country with a high-income economy and is one of the most economically and socially stable nations in South America. Chile also performs well in the region in terms of sustainability of the state and democratic development. Chile is a founding member of the United Nations , the Community of Latin American and Caribbean States (CELAC), and

31506-477: Was succeeded in 2000 by Socialist Ricardo Lagos , who won the presidency in an unprecedented runoff election against Joaquín Lavín of the rightist Alliance for Chile . In January 2006, Chileans elected their first female president, Michelle Bachelet Jeria , of the Socialist Party, defeating Sebastián Piñera , of the National Renewal party, extending the Concertación governance for another four years. In January 2010, Chileans elected Sebastián Piñera as

31684-424: Was the head of the Council of Rapanui. The Rapa Nui elders ceded sovereignty, without renouncing their titles as chiefs, the ownership of their lands, the validity of their culture and traditions and on equal terms. The Rapa Nui sold nothing, they were integrated in equal conditions to Chile. The 1891 Chilean Civil War brought about a redistribution of power between the President and Congress, and Chile established

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