On the Rectilinear Non-Collision Motion |
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Authors: | Richard A. Serafin |
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Affiliation: | (1) Uhlandstrae 46, 46047 Oberhausen, Germany |
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Abstract: | 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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Keywords: | rectilinear motion stellar encounters Kepler's equation barycentric orbits |
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