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Comparison of Lunar Ephemerides (Sale and ELP) with Numerical Integration

Published online by Cambridge University Press:  12 April 2016

Hiroshi Kinoshita
Hiroshi Kinoshita*
Affiliation:
Tokyo Astronomical Observation 2-21-1 Osawa, Mitaka, Tokyo, Japan

Extract

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SALE and ELP, analytical theories of the main problem of the Moon, are developed by Henrard (1979) and Chapront-Touzé (1980), respectively. Both theories are compared with numerical integration over one year, which covers about 13 revolutions of the Moon’s orbit. The root-mean-square residuals in the distance of SALE truncated at 10−5 arcsecond is about 10 cm for series truncated at 10−5 arcsecond and 1.2 cm for series truncated at 10−6 arcsecond. ELP is also compared with 20 years of numerical integration and the root-mean-square residuals in the distance is about 1.5 cm.

References

Chapront-Touzé, M.: 1980, Astron. Astrophys. 83, 86.Google Scholar
Chapront-Touzé, M. and Henrard, J.: 1980, Astron. Astrophys. 86, 221.Google Scholar
Henrard, J.: 1979, Celes. Mech. l9, 337.Google Scholar
Oesterwinter, C. and Cohen, C.J.: 1972, Celes. Mech., 5, 317.Google Scholar