Families of Periodic Collision Orbits in the General ThreeBody Problem
Abstract
In the general threebody problem, in a rotating frame of reference, a symmetric periodic solution with a binary collision is determined by the abscissa of one body and the energy of the system. For different values of the masses of the three bodies, the symmetric periodic collision orbits form a twoparametric family. In the case of equal masses of the two bodies and small mass of the third body, we found several symmetric periodic collision orbits similar to the corresponding orbits in the restricted threebody problem. Starting with one symmetric periodic collision orbit we obtained two families of such orbits. Also starting with one collision orbit in the SunJupiterSaturn system we obtained, for a constant value of the mass ratio of two bodies, a family of symmetric periodic collision orbits.
 Publication:

Celestial Mechanics
 Pub Date:
 February 1983
 DOI:
 10.1007/BF01232806
 Bibcode:
 1983CeMec..29..191D
 Keywords:

 Collision Parameters;
 Orbital Mechanics;
 Periodic Functions;
 Solar Orbits;
 Three Body Problem;
 Celestial Mechanics;
 Coplanarity;
 Inertial Reference Systems;
 Jupiter (Planet);
 Mass Ratios;
 Periodic Variations;
 Planetary Mass;
 Saturn (Planet);
 Solar System;
 Trajectory Analysis;
 Astronomy