Celestial mechanics

, Volume 22, Issue 3, pp 241–253

Analytic construction of periodic orbits about the collinear points

  • David L. Richardson


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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© D. Reidel Publishing Co 1980

Authors and Affiliations

  • David L. Richardson
    • 1
  1. 1.Department of Aerospace EngineeringUniversity of CincinnatiCincinnatiUSA

Personalised recommendations