Celestial mechanics

, Volume 22, Issue 3, pp 241–253

Analytic construction of periodic orbits about the collinear points

Authors

  • David L. Richardson
    • Department of Aerospace EngineeringUniversity of Cincinnati
Article

DOI: 10.1007/BF01229511

Cite this article as:
Richardson, D.L. Celestial Mechanics (1980) 22: 241. doi:10.1007/BF01229511

Abstract

A third-order analytical solution for halo-type periodic motion about the collinear points of the circular-restricted problem is presented. The three-dimensional equations of motion are obtained by a Lagrangian formulation. The solution is constructed using the method of successive approximations in conjunction with a technique similar to the Lindstedt-Poincaré method. The theory is applied to the Sun-Earth system.

Copyright information

© D. Reidel Publishing Co 1980