Numerical study of the rectilinear isosceles restricted problem
Abstract
We study the orbit of a particle in the plane of symmetry of two equal mass primaries in rectilinear keplerian motion. Using the surfaces of section we look for periodic orbits, examine their stability and search for quasiperiodic orbits and regions of escape. For large values of the angular momentumC, we verify the validity of the approximation of two fixed centers. However, we also find irregular families of orbits and resonance zones. For small values ofC, the approximation is no longer valid, but we find invariant curves whose interpretation might be interesting.
 Publication:

Celestial Mechanics
 Pub Date:
 August 1979
 DOI:
 10.1007/BF01230232
 Bibcode:
 1979CeMec..20..105P
 Keywords:

 Orbital Mechanics;
 Three Body Problem;
 Escape (Abandonment);
 Kepler Laws;
 Orbit Perturbation;
 Periodic Variations;
 Astronomy