Trajectories and envelopes in the repulsive twofixedcentre problem and in the restricted threebody problem
Abstract
The envelope of isoenergetic trajectories in the (repulsive) twofixedcentre problem is derived. Our analytical calculations finally lead to a transcendental equation, only containing elliptic integrals and the Weierstraßp function, from which the envelope is constructed. The results may serve as a simple model for the boundary layer between two colliding supersonic stellar wind flows in binary systems, in which at least one of the components has a strong radiation field. Beyond this, the effect of noninertial forces (centrifugal and Coriolis force) due to the binary's orbital motion has been estimated by a numerical analysis within the scope of the (repulsive) restricted threebody problem. All calculations have been performed for a hot model (WolfRayet/Ostar) binary system with a set of parameters which might be appropriate for HD 152270. The envelope may be well approximated by a hyperboloid. The noninertial forces slightly turn the envelope against the line connecting both stars.
 Publication:

Celestial Mechanics and Dynamical Astronomy
 Pub Date:
 March 1992
 DOI:
 10.1007/BF00049360
 Bibcode:
 1992CeMDA..53...37K
 Keywords:

 Binary Stars;
 Particle Trajectories;
 Stellar Envelopes;
 Stellar Models;
 Stellar Winds;
 Three Body Problem;
 Centrifugal Force;
 Coriolis Effect;
 Elliptic Functions;
 Isoenergetic Processes;
 Supersonic Flow;
 Weierstrass Functions;
 Astrophysics;
 Twofixedcentre problem;
 restricted threebody problem;
 binary stellar wind