Celestial mechanics

, Volume 24, Issue 4, pp 407–429

Gylden-Meščerskii problem

  • L. M. Berković

DOI: 10.1007/BF01230399

Cite this article as:
Berković, L.M. Celestial Mechanics (1981) 24: 407. doi:10.1007/BF01230399


Classical non-stationary two-body problem, described by the equation of the form
$$\ddot r = - \mu (t)\frac{r}{{r^3 }}$$
is investigated using differential equation transformation methods developed by the author.

All laws of mass variation for which Gylden-Meščerskii problem is reduced to autonomous form are stated. The problem symmetry properties are investigated and reviews of integrable cases from the group point of view are made.

Copyright information

© D. Reidel Publishing Co. 1981

Authors and Affiliations

  • L. M. Berković
    • 1
  1. 1.Kuybyshev State University KuybyshevUSSR