Approximate analitic computation of the satellite stability periodic orbit

Аuthors

Kondratieva L. A.

e-mail: liudmila.kondratieva@inbox.ru

Abstract

The method of approximate analytic limit cycles computation for the three dimension systems of ordinary differential equations realizes at example of satellite motion. The exactness estimates of obtained periodic solutions are giving in terms of relative residual. The orbits of consistent analytic approximations are building and their convergence to the searched stable limit cycle is demonstrating. The geometrical form of the given cycle turns out to be close to ellipse.

Keywords:

satellite periodic motion, system of ordinary differential equations, limit cycle.