Restrictions on the motion in the general fourbody problem
Abstract
The authors used the integrals of energy and angular momentum as was done by Marchal and Saari in 1975 for the general threebody problem and applied them to the general fourbody problem. This leads to the equation of surfaces in threedimensional space, limiting regions where motion cannot occur. Restrictions on the angles between the orbital planes and the invariable plane are also found.
 Publication:

Astronomy and Astrophysics
 Pub Date:
 August 1987
 Bibcode:
 1987A&A...182..163S
 Keywords:

 Equations Of Motion;
 Four Body Problem;
 Numerical Analysis;
 Three Body Problem;
 Astronomy