Dangaus kūno gravitacinio poveikio trikdančiosios funkcijos reiškimas laipsnine eilute

Abstract

For research of the Earth’s gravitational field, for determining geocentric coordinates and for solving other satellite geodesy tasks by dynamic method most often Earth’s satellites moving in almost circular orbits are used. For research of the Earth’s gravitational field the continued orbits with eccentricity close to 1 are used. Satellites’ moving in continued orbits usage is complicated due to satellite coordinates and their function series, whose absolute convergence until eccentricity e reaches Laplace’s limit (0.6627). Such usage could be extended by using satellite coordinates power of series size, which absolutely converge at eccentricity values from 0 to 1. Satellites moving in almost parabolic orbits are farther from the Earth and are more influenced by the Moon, the Sun and other celestial bodies. [...].