On the Rectilinear NonCollision Motion
Abstract
We systematically investigate the rectilinear noncollision motion, i.e., the rectilinear one with C>0, where C is the angular momentum integral. This kind of motion appears in stellar dynamics when considering encounters of stars. For a short enough segment of a star's path, it is a very good approximation to the real motion of the star. Moreover, we derive also an analogue to Kepler's equation for this motion, and, considering the barycentric orbits of the stars, we find their minimal mutual distance.
 Publication:

Celestial Mechanics and Dynamical Astronomy
 Pub Date:
 July 2001
 Bibcode:
 2001CeMDA..80...97S
 Keywords:

 RECTILINEAR MOTION;
 STELLAR ENCOUNTERS;
 KEPLER'S EQUATION;
 BARYCENTRIC ORBITS