Nearly circular equatorial orbits for artificial earth satellites with an allowance made for light pressure
Abstract
An analytical theory for the motion of equatorial earth satellites in nearly circular orbits is proposed which takes into consideration the light pressure of solar rays. The intermediate orbit here is a strictly circular nonKeplerian orbit in the equatorial plane of a nonspherical axisymmetric earth. The equations for the perturbed motion of the satellite, written in spherical coordinates with an allowance made for gravitational and radiational perturbations, are presented in a form that is linearized in relation to the perturbations and are reduced to a system of nonhomogeneous differential equations with constant coefficients. The radiational perturbations are allowed for through the equations for the bounded photogravitational threebody problem. The solution of the system is in closed form, and an analytical determination is made of all the constants of integration.
 Publication:

Leningradskii Universitet Vestnik Matematika Mekhanika Astronomiia
 Pub Date:
 January 1984
 Bibcode:
 1984VeLen......100P
 Keywords:

 Circular Orbits;
 Earth Orbits;
 Illuminance;
 Radiation Pressure;
 Satellite Orbits;
 Equations Of Motion;
 Gravitational Effects;
 Linear Equations;
 Perturbation Theory;
 Solar Radiation;
 Astrodynamics