On the Manev-Type Two-Body Problem

Details On the Manev-Type Two-Body Problem On the Manev-Type Two-Body Problem

Dec 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997balta...6..637m&link_type=abstract

Baltic Astronomy, v.6, p.637-650.

Astronomy and Astrophysics

Astronomy

3

Celestial Mechanics: Two-Body Problem, Qualitative Analysis

Scientific paper

The two-body problem in Manev-type fields (featured by potentials of the form {A/r+B/r}(2) ; r is the distance between particles, {A} and {B} are real parameters) constitutes a good model for various concrete physical problems of astronomy, astrophysics, relativity, atomic physics, mechanics, etc. We study relative motion in such fields both quantitatively and qualitatively. An analytic solution is obtained in a closed form. A qualitative investigation is performed, representing the motion in the (1/r,dot r) phase plane, where all the solutions are conic sections (or arcs of them). A bifurcation analysis is performed case by case for the whole allowed interplay among field parameters, angular momentum and total energy. Each solution is interpreted in terms of physical motion.

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