General Review of Work in Celestial Mechanics at Moscow University

Abstract

This paper is primarily a review of work on the motions of artificial satellites carried out in the Department of Celestial Mechanics of Moscow University during 1957–62. The paper describes the formulation of problems and main results of work in the following areas: 1) Theory of translational rotational motions. Primary attention is devoted to the rotational motion of artificial satellites (Duboshin, Rybakov, Kondurar, Yarov-Yarovoi). 2) Construction of intermediate orbits based on averaging of the right-hand sides of two differential equations of motion and on the application of the probability theory (Shchigolev). 3) Analytical theory of the motion of artificial earth satellites. Perturbations through the fifth order are taken into account (Orlov). 4) An analytical theory of motion of lunar and outer space probes (YarovYarovoi). 5) Work on the region of convergence of Hill’s series in the restricted problem of three bodies (Ryabov). 6) Construction of an analytical theory of motion of artificial earth satellites subject to the following perturbations: Earth oblateness, triaxiality, atmospheric drag, influence of other planets (Grebenikov, Demin, Aks enov). 7) An analytical theory of motion of an artificial satellite in the gravitational field of the earth, based on a generalization of the problem of two fixed centers (Grebenikov, Demin, Aksenov).