On the Rectilinear Non-Collision Motion

Details On the Rectilinear Non-Collision Motion On the Rectilinear Non-Collision Motion

Jul 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001cemda..80...97s&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 80, Issue 2, p. 97-109 (2001).

Astronomy and Astrophysics

Astronomy

2

Rectilinear Motion, Stellar Encounters, Kepler'S Equation, Barycentric Orbits

Scientific paper

We systematically investigate the rectilinear non-collision 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.

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