On the nonstationary earth-satellite gravitational problem
Abstract
The generalized problem of two fixed centers with a time-dependent gravitational constant G and with an additional force proportional to the velocity of a test body and to the relative rate of change of G is integrated in quadratures. The solution can be used to describe intermediate motion when analyzing the effects of variable gravitation upon the orbital motion of artificial earth satellites.
- Publication:
-
Soviet Astronomy Letters
- Pub Date:
- February 1978
- Bibcode:
- 1978SvAL....4...16B
- Keywords:
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- Cosmology;
- Earth Gravitation;
- Earth-Moon System;
- Gravitational Constant;
- Satellite Orbits;
- Hamilton-Jacobi Equation;
- Orbit Calculation;
- Two Body Problem;
- Astrodynamics