The inex (plural inexes ) is an eclipse cycle of 10,571.95 days (about 29 years minus 20 days). The cycle was first described in modern times by Crommelin in 1901, but was named by George van den Bergh who studied it in detail half a century later. It has been suggested that the cycle was known to Hipparchos . One inex after an eclipse of a particular saros series there will be an eclipse in the next saros series, unless the latter saros series has come to an end.
9-583: Inex is an eclipse cycle. Inex or INEX may refer to: Inex It corresponds to: The 30.5 eclipse years means that if there is a solar eclipse (or lunar eclipse ), then after one inex a New Moon (resp. Full Moon) will take place at the opposite node of the orbit of the Moon , and under these circumstances another eclipse can occur. Unlike the saros , the inex is not close to an integer number of anomalistic months so successive eclipses are not very similar in their appearance and characteristics. From
18-513: Is horizontal (meaning that after an interval of an inex the moon will be at the same latitude), whereas at the beginning of the panorama around 11,000 BC for the moon to come back to the same latitude at another eclipse required about one saros for every ten inex. This implies that back then 3580+223 or 3803 synodic months equaled 3885+242 or 4127 draconic months. So a synodic month was about 1.0851959 draconic months, as compared to about 1.0851958 today. This decrease by about 0.1 ppm can be compared to
27-424: Is increasing by about 0.2 seconds (ca 0.08 ppm) per millennium, but doesn't explain why the draconic month is increasing faster. From the data file we can see that eclipses recur with a period of a combination of 15 inex and 1 saros (5593 synodic months, 165164.58 days, or 452.2 tropical years) throughout the whole panorama (26,000 years), for example from the eclipse of saros series −290, inex series 2 (slightly off
36-430: The beginning and end of a series, eclipses may fail to occur. However once settled down, inex series are very stable and run for many thousands of years. For example, series 30 has produced eclipses every 29 years since saros series −197 in 8045 BC, including most recently the solar eclipse of February 5, 2000 . An inex also is close to an integer number of days (10,571.95) so solar eclipses on average take place at about
45-401: The decrease in the length of a tropical year by about 1 ppm in the last 10,000 years (see Tropical year ). (Note that if the length of a sidereal month were constant, then a decrease in the length of a year would cause an increase in the length of a synodic month.) One source states that the draconic month is increasing by about 0.4 seconds (ca 0.16 ppm) per millennium whereas the synodic month
54-724: The globe (although at the same node and hence at about the same geographical latitude). The significance of the inex cycle is not in the prediction, but in the organization of eclipses: any eclipse cycle, and indeed the interval between any two eclipses, can be expressed as a combination of saros and inex intervals. The following fourteen eclipses from part of inex series 52, which has been yielding eclipses every 29 years since saros series −115 in 5275 BC and will continue to do so beyond 15,000 AD. These eclipses are part of Lunar Inex Series 40. A saros-inex panorama has been produced by Luca Quaglia and John Tilley. It shows 61775 solar eclipses from −11000 ( 11001 BC ) to +15000. Each column of
63-400: The graph is a complete Saros series which progresses smoothly from partial eclipses into total or annular eclipses and back into partials. Each graph row represents an inex series. The lifetime of each inex series is not simple due to long-term period variations in the synodic and draconic month lengths. One can see from the data file that in the future (around saros series 300) the graph
72-502: The remainder of 0.67351, being near 2 ⁄ 3 , every third eclipse will have a similar position in the moon's elliptical orbit and apparent diameter, so the quality of the solar eclipse (total versus annular) will repeat in these groupings of 3 cycles (87 years minus 2 months), called triads . Inex series last much longer than saros series . For example, inex series 30 started in saros series −245 in 9435 BC and will continue well beyond 15,000 AD. But inex series are not unbroken: at
81-451: The same geographical longitude at successive events, although variations of the moon's speed at different points of its orbit mask this relation. In addition sequential events occur at opposite geographical latitudes because the eclipses occur at opposite nodes. This is in contrast to the better known saros, which has a period of about 6,585 + 1 ⁄ 3 days, so successive solar eclipses tend to take place about 120° in longitude apart on
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