General planetary theory in elliptic variables. I - Expansion of the equations

Details General planetary theory in elliptic variables. I - Expansion of the equations General planetary theory in elliptic variables. I - Expansion of the equations

Jan 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977a%26a....54...93d&link_type=abstract

Astronomy and Astrophysics, vol. 54, no. 1, Jan. 1977, p. 93-112. In French.

Astronomy and Astrophysics

Astrophysics

26

Elliptic Functions, Elliptical Orbits, Planet Ephemerides, Solar Orbits, Algorithms, Computer Programs, Planetary Mass

Scientific paper

A program aimed at some improvements in Le Verrier theory, with the object of constructing highly precise ephemerides over an extended time span, is detailed. Analytic expressions containing up to high orders (with respect to masses) of long-period and very-long-period terms are arrived at, and their interrelations are explored. Expansions of some terms and algorithms of the expansions are worked through. The algorithm is applied to a planetary motion inequality of third order with respect to planetary masses, in an intermediate solution of a problem involving four large planets, with an assigned period of 119,000 years.

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