Differential equations of the translationalrotational motion of an axisymmetric solid body in the gravitational field of a sphere
Abstract
The twobody problem studied involves a sphere with a radial distribution of density and a solid body with a plane of dynamic symmetry, the plane coinciding with the unchanging plane of the orbit. The equations for translationalrotational motion are described in terms of DelaunayAndoyer canonical elements. Application of Kepler's second law permits a reduction in the order of the system of equations, and an approximate value for the force function is obtained.
 Publication:

Akademiia Nauk Turkmenskoi SSR Izvestiia Seriia Fiziko Tekhnicheskikh Khimicheskikh i Geologicheskikh Nauk
 Pub Date:
 1978
 Bibcode:
 1978IzTur...1...10B
 Keywords:

 Axisymmetric Bodies;
 Gravitational Effects;
 Rotating Bodies;
 Spheres;
 Translational Motion;
 Two Body Problem;
 Astronomical Models;
 Asymptotic Methods;
 Differential Equations;
 Euler Equations Of Motion;
 Gravitational Fields;
 Hamiltonian Functions;
 Kepler Laws;
 Laplace Transformation;
 Legendre Functions;
 Perturbation;
 Astronomy