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Barycentric Coordinate Time

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Barycentric Coordinate Time ( TCB , from the French Temps-coordonnée barycentrique ) is a coordinate time standard intended to be used as the independent variable of time for all calculations pertaining to orbits of planets , asteroids , comets , and interplanetary spacecraft in the Solar System . It is equivalent to the proper time experienced by a clock at rest in a coordinate frame co-moving with the barycenter (center of mass) of the Solar System : that is, a clock that performs exactly the same movements as the Solar System but is outside the system's gravity well . It is therefore not influenced by the gravitational time dilation caused by the Sun and the rest of the system. TCB is the time coordinate for the Barycentric Celestial Reference System (BCRS).

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26-2751: TCB was defined in 1991 by the International Astronomical Union , in Recommendation III of the XXIst General Assembly. It was intended as one of the replacements for the problematic 1976 definition of Barycentric Dynamical Time (TDB). Unlike former astronomical time scales, TCB is defined in the context of the general theory of relativity . The relationships between TCB and other relativistic time scales are defined with fully general relativistic metrics . The transformation between TCB and Geocentric Coordinate Time (TCG) may be approximated with an uncertainty not larger than 5 × 10 − 18 {\displaystyle 5\times 10^{-18}} in rate as: T C B − T C G = c − 2 [ ∫ t 0 t ( v E 2 2 + w 0 e x t ( x E ) ) d t + v E i r E i ] − c − 4 [ ∫ t 0 t ( − 1 8 v E 4 − 3 2 v E 2 w 0 e x t ( x E ) + 4 v E i w e x t i ( x E ) + 1 2 w 0 e x t 2 ( x E ) ) d t − ( 3 w 0 e x t ( x E ) + v E 2 2 ) v E i r E i ] {\displaystyle {\begin{aligned}TCB-TCG&=c^{-2}\left[\int _{t_{0}}^{t}\left({\frac {v_{E}^{2}}{2}}+w_{0ext}(\mathbf {x} _{E})\right)dt+v_{E}^{i}r_{E}^{i}\right]\\&-c^{-4}\left[\int _{t_{0}}^{t}\left(-{\frac {1}{8}}v_{E}^{4}-{\frac {3}{2}}v_{E}^{2}w_{0ext}(\mathbf {x} _{E})+4v_{E}^{i}w_{ext}^{i}(\mathbf {x} _{E})+{\frac {1}{2}}w_{0ext}^{2}(\mathbf {x} _{E})\right)dt\right.\\&\qquad \qquad \left.-\left(3w_{0ext}(\mathbf {x} _{E})+{\frac {v_{E}^{2}}{2}}\right)v_{E}^{i}r_{E}^{i}\right]\end{aligned}}} where x E i {\displaystyle x_{E}^{i}} and v E i {\displaystyle v_{E}^{i}} are

52-564: Is Teaching Astronomy for Development (TAD) program in countries where there is currently very little astronomical education. Another program is named the Galileo Teacher Training Program (GTTP), is a project of the International Year of Astronomy 2009, among which Hands-On Universe that will concentrate more resources on education activities for children and schools designed to advance sustainable global development. GTTP

78-677: Is a member of the International Science Council , which is composed of international scholarly and scientific institutions and national academies of sciences . The International Astronomical Union is an international association of professional astronomers , at the PhD level and beyond, active in professional research and education in astronomy . Among other activities, it acts as the recognized authority for assigning designations and names to celestial bodies ( stars , planets , asteroids , etc.) and any surface features on them. The IAU

104-529: Is a member of the International Science Council . Its main objective is to promote and safeguard the science of astronomy in all its aspects through international cooperation. The IAU maintains friendly relations with organizations that include amateur astronomers in their membership. The IAU has its head office on the second floor of the Institut d'Astrophysique de Paris in the 14th arrondissement of Paris . This organisation has many working groups. For example,

130-514: Is affiliated with the International Council of Scientific Unions (ICSU), a non-governmental organization representing a global membership that includes both national scientific bodies and international scientific unions. They often encourage countries to become members of the IAU. The Commission further seeks to development, information or improvement of astronomical education. Part of Commission 46,

156-750: Is also concerned with the effective use and transfer of astronomy education tools and resources into classroom science curricula. A strategic plan for the period 2010–2020 has been published. In 2004 the IAU contracted with the Cambridge University Press to publish the Proceedings of the International Astronomical Union . In 2007, the Communicating Astronomy with the Public Journal Working Group prepared

182-788: Is an international non-governmental organization (INGO) with the objective of advancing astronomy in all aspects, including promoting astronomical research, outreach, education, and development through global cooperation. It was founded on 28 July 1919 in Brussels , Belgium and is based in Paris , France . The IAU is composed of individual members, who include both professional astronomers and junior scientists, and national members, such as professional associations, national societies, or academic institutions. Individual members are organised into divisions, committees, and working groups centered on particular subdisciplines, subjects, or initiatives. As of May 2024,

208-568: Is sufficient for approval in any vote, except for Statute revision which requires a two-thirds majority . An equality of votes is resolved by the vote of the President of the Union. Since 1922, the IAU General Assembly meets every three years, except for the period between 1938 and 1948, due to World War II . After a Polish request in 1967, and by a controversial decision of the then President of

234-497: Is the origin of TCB and TCG defined so that 1977 January 1, 00:00:00 TAI is 1977 January 1, 00:00:32.184 TCG / TCB, w 0 e x t ( x E ) {\displaystyle w_{0ext}(\mathbf {x} _{E})} is the sum ∑ A G M A r A {\displaystyle \scriptstyle \sum _{A}{\frac {GM_{A}}{r_{A}}}} of gravitational potentials for all solar system bodies apart from

260-714: The Gregorian calendar are used. For continuity with its predecessor Ephemeris Time , TCB was set to match ET at around Julian Date 2443144.5 (1977-01-01T00Z). More precisely, it was defined that TCB instant 1977-01-01T00:00:32.184 corresponds exactly to the International Atomic Time (TAI) instant 1977-01-01T00:00:00.000, at the geocenter . This is also the instant at which TAI introduced corrections for gravitational time dilation. International Astronomical Union The International Astronomical Union ( IAU ; French : Union astronomique internationale , UAI )

286-837: The International Central Bureau of Astronomical Telegrams initially seated in Copenhagen , Denmark. The seven initial member states were Belgium, Canada, France, Great Britain, Greece, Japan, and the United States, soon to be followed by Italy and Mexico. The first executive committee consisted of Benjamin Baillaud (President, France), Alfred Fowler (General Secretary, UK), and four vice presidents: William Campbell (US), Frank Dyson (UK), Georges Lecointe (Belgium), and Annibale Riccò (Italy). Thirty-two Commissions (referred to initially as Standing Committees) were appointed at

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312-758: The Royal Astronomical Society of New Zealand , the Royal Swedish Academy of Sciences , the Russian Academy of Sciences , and the Science Council of Japan , among many others. The sovereign body of the IAU is its General Assembly , which comprises all members. The Assembly determines IAU policy, approves the Statutes and By-Laws of the Union (and amendments proposed thereto) and elects various committees. The right to vote on matters brought before

338-461: The Assembly varies according to the type of business under discussion. The Statutes consider such business to be divided into two categories: On budget matters (which fall into the second category), votes are weighted according to the relative subscription levels of the national members. A second category vote requires a turnout of at least two-thirds of national members to be valid. An absolute majority

364-567: The Brussels meeting and focused on topics ranging from relativity to minor planets. The reports of these 32 Commissions formed the main substance of the first General Assembly, which took place in Rome, Italy, 2–10 May 1922. By the end of the first General Assembly, ten additional nations (Australia, Brazil, Czechoslovakia, Denmark, the Netherlands, Norway, Poland, Romania, South Africa, and Spain) had joined

390-625: The Earth evaluated at the geocenter, and w e x t i ( x E ) {\displaystyle w_{ext}^{i}(\mathbf {x} _{E})} is similarly the sum ∑ A G M A r A v A i {\displaystyle \scriptstyle \sum _{A}{\frac {GM_{A}}{r_{A}}}v_{A}^{i}} . The approximation discards higher powers of r E i {\displaystyle r_{E}^{i}} as they have been found to be negligible. Because

416-640: The IAU, an Extraordinary IAU General Assembly was held in September 1973 in Warsaw , Poland, to commemorate the 500th anniversary of the birth of Nicolaus Copernicus , soon after the regular 1973 GA had been held in Sydney. Sources. Commission 46 is a Committee of the Executive Committee of the IAU, playing a special role in the discussion of astronomy development with governments and scientific academies. The IAU

442-817: The IAU, and is a "clearinghouse" for all non-planetary or non-moon bodies in the Solar System. The IAU was founded on 28 July 1919, at the Constitutive Assembly of the International Research Council (now the International Science Council ) held in Brussels , Belgium. Two subsidiaries of the IAU were also created at this assembly: the International Time Commission seated at the International Time Bureau in Paris, France, and

468-930: The IAU. National members include the Australian Academy of Science , the Chinese Astronomical Society, the French Academy of Sciences , the Indian National Science Academy , the National Academies (United States) , the National Research Foundation of South Africa , the National Scientific and Technical Research Council (Argentina), the Council of German Observatories, the Royal Astronomical Society (United Kingdom),

494-630: The Union had 85 national members and 12,734 individual members, spanning 90 countries and territories. Among the key activities of the IAU is serving as a forum for scientific conferences. It sponsors nine annual symposia and holds a triannual General Assembly that sets policy and includes various scientific meetings. The Union is best known for being the leading authority in assigning official names and designations to astronomical objects , and for setting uniform definitions for astronomical principles. It also coordinates with national and international partners, such as UNESCO , to fulfill its mission. The IAU

520-675: The Union held the NameExoWorlds contests. Starting in 2024, the Union, in partnership with the United Nations , is poised to play a critical role in developing the legislation and framework for lunar industrialization . As of 1 August 2019, the IAU has a total of 13,701 individual members , who are professional astronomers from 102 countries worldwide; 81.7% of individual members are male, while 18.3% are female. Membership also includes 82 national members , professional astronomical communities representing their country's affiliation with

546-528: The Union's history are well documented. Subsequent history is recorded in the form of reminiscences of past IAU Presidents and General Secretaries. Twelve of the fourteen past General Secretaries in the period 1964–2006 contributed their recollections of the Union's history in IAU Information Bulletin No. 100. Six past IAU Presidents in the period 1976–2003 also contributed their recollections in IAU Information Bulletin No. 104. In 2015 and 2019,

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572-615: The Union, bringing the total membership to 19 countries. Although the Union was officially formed eight months after the end of World War I, international collaboration in astronomy had been strong in the pre-war era (e.g., the Astronomische Gesellschaft Katalog projects since 1868, the Astrographic Catalogue since 1887, and the International Union for Solar research since 1904). The first 50 years of

598-652: The Working Group for Planetary System Nomenclature (WGPSN), which maintains the astronomical naming conventions and planetary nomenclature for planetary bodies, and the Working Group on Star Names (WGSN), which catalogues and standardizes proper names for stars. The IAU is also responsible for the system of astronomical telegrams which are produced and distributed on its behalf by the Central Bureau for Astronomical Telegrams . The Minor Planet Center also operates under

624-457: The barycentric coordinate position and velocity of the geocenter, r E i = x i − x E i {\displaystyle r_{E}^{i}=x^{i}-x_{E}^{i}} with x i {\displaystyle x^{i}} the barycentric position of the observer, t = T C B {\displaystyle t=TCB} , t 0 {\displaystyle t_{0}}

650-472: The difference in time scales). Adapting the large body of existing software to change from TDB to TCB is an ongoing task, and as of 2002 many calculations continued to use TDB in some form. Time coordinates on the TCB scale are specified conventionally using traditional means of specifying days, inherited from slightly non-uniform time standards based on the rotation of the Earth. Specifically, both Julian Dates and

676-436: The reference frame for TCB is not influenced by the gravitational potential caused by the Solar System, TCB ticks faster than clocks on the surface of the Earth by 1.550505 × 10 (about 490 milliseconds per year). Consequently, the values of physical constants to be used with calculations using TCB differ from the traditional values of physical constants (The traditional values were in a sense wrong, incorporating corrections for

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