Construction d'une théorie planétaire au troisième ordre des masses.
Abstract
The basic ideas underlying two methods of constructing a numerical planetary theory with secular terms are explained, and the application of one of these methods to constructing a theory that is of third order in the masses is described. The first method is a Le Verrier method that proceeds order by order in the masses in the integration of the Lagrange equations. The second method is by successive approximation of the Kepler equation. Results of applying the first method for obtaining the third order perturbations of Uranus are presented.
 Publication:

IAU Colloq. 41: Dynamics of Planets and Satellites and Theories of their Motion
 Pub Date:
 1978
 DOI:
 10.1007/9789400998094_7
 Bibcode:
 1978ASSL...72...65S
 Keywords:

 Astronomy;
 Celestial Mechanics;
 Orbit Perturbation;
 Planetary Mass;
 Planetology;
 Approximation;
 Classical Mechanics;
 Equations Of Motion;
 EulerLagrange Equation;
 Kepler Laws;
 Long Term Effects;
 Mass Distribution;
 Natural Satellites;
 Numerical Integration;
 Uranus (Planet);
 Astronomy;
 Planetary Theories