Three dimensional, periodic, halo orbits
Abstract
A largely numerical study was made of families of threedimensional, periodic, halo orbits near the collinear libration points in the restricted threebody problem. Families extend from each of the libration points to the nearest primary. They appear to exist for all values of the mass ratio mu, from 0 to 1. More importantly, most of the families contain a range of stable orbits. Only near the libration point between the two primaries, are there no stable orbits for certain values of mu. In that case the stable range decreases with increasing mu, until it disappears at mu = 0.0573. Near the other libration points, stable orbits exist for all mass ratios investigated between 0 and 1. In addition, the orbits increase in size with increasing mu.
 Publication:

AIAA, Astrodynamics Specialist Conference
 Pub Date:
 August 1981
 Bibcode:
 1981aiaa.confQV...H
 Keywords:

 Celestial Mechanics;
 Orbit Calculation;
 Orbital Mechanics;
 Three Body Problem;
 Equations Of Motion;
 Libration;
 Mass Ratios;
 Astrodynamics