On the nonstationary earthsatellite gravitational problem
Abstract
The generalized problem of two fixed centers with a timedependent 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:

 Cosmology;
 Earth Gravitation;
 EarthMoon System;
 Gravitational Constant;
 Satellite Orbits;
 HamiltonJacobi Equation;
 Orbit Calculation;
 Two Body Problem;
 Astrodynamics