Solution to the problem of translatory-rotary motion of two axisymmetric gravitating bodies
Abstract
The translatory-rotary motion of two mutually attracting axisymmetric gravitating spheroids is analyzed on the assumption that their interaction obeys Newton's law. The equations of motions are formulated through canonical osculating Delaunay-Andoyer elements. The Gaussian averaging method is used to obtain simplified equations of motion for two gravitating bodies in which ellipsoids of inertia slightly differ from those of a sphere.
- Publication:
-
Moskovskii Universitet Vestnik Seriia Matematika Mekhanika
- Pub Date:
- February 1978
- Bibcode:
- 1978MVSMM.......99E
- Keywords:
-
- Astrophysics;
- Celestial Mechanics;
- Gravitational Effects;
- Rotating Bodies;
- Translational Motion;
- Axisymmetric Bodies;
- Canonical Forms;
- Double Cusps;
- Equations Of Motion;
- Spheroids;
- Astronomy