Journal of Applied Mathematics (Jan 2012)

Matched Asymptotic Expansions to the Circular Sitnikov Problem with Long Period

  • Marco Rosales-Vera

DOI
https://doi.org/10.1155/2012/479093
Journal volume & issue
Vol. 2012

Abstract

Read online

The circular Sitnikov problem is revisited, using matched asymptotic expansions. In the case of large oscillation periods, approximate analytical expressions for the period and the orbit of the third body are found. The results are compared with those described in the literature and show that the movement of the third body can be well described by two analytical solutions, the inner and outer solutions.