ThreeDimensional 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 μ, from 0 to 1. Most of the families contain a range of stable orbits. Only near L_{1}, there are no stable orbits for certain values of μ. In that case the stable range decreases with increasing μ, until it disappears at μ = 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 μ.
 Publication:

Celestial Mechanics
 Pub Date:
 January 1984
 Bibcode:
 1984CeMec..32...53H