Differential equations of the translational-rotational motion of an axisymmetric solid body in the gravitational field of a sphere
Abstract
The two-body 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 translational-rotational motion are described in terms of Delaunay-Andoyer 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:
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- 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