Iterative construction of a solution of the main problem of the moon - Influence of small divisors

Details Iterative construction of a solution of the main problem of the moon - Influence of small divisors Iterative construction of a solution of the main problem of the moon - Influence of small divisors

Nov 1974

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974a%26a....36....5c&link_type=abstract

Astronomy and Astrophysics, vol. 36, no. 1, Nov. 1974, p. 5-16. In French.

Astronomy and Astrophysics

Astrophysics

8

Earth-Moon System, Iterative Solution, Moon, Orbital Mechanics, Solar Orbits, Three Body Problem, Convergence, Differential Equations, Earth Orbits, Elliptical Orbits, Equations Of Motion, Kepler Laws

Scientific paper

The construction of a semiliteral series solution to the main problem of lunar theory is considered. An iterative method is used to construct a seminumerical solution or solution of order zero. The solution obtained has an internal accuracy on the order of a hundredth of a second in longitude and a thousandth of a second in latitude and parallax. This is considered insufficient, so improvement will be sought.

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