Certain applications of the problem of two fixed centers in stellar dynamics

Details Certain applications of the problem of two fixed centers in stellar dynamics Certain applications of the problem of two fixed centers in stellar dynamics

Apr 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989mvsfa..30...74s&link_type=abstract

Moskovskii Universitet, Vestnik, Seriia 3 - Fizika, Astronomiia (ISSN 0579-9392), vol. 30, Mar.-Apr. 1989, p. 74-79. In Russian.

Statistics

Computation

Elliptic Functions, Galactic Nuclei, Milky Way Galaxy, Star Clusters, Stellar Motions, Computational Astrophysics, Jacobi Integral

Scientific paper

A new astronomical application of the classical problem of two fixed centers is proposed which consists in calculating close encounters of stars with the nuclei of spherical star clusters, with allowance for star attraction to the nucleus of the Galaxy. The incomplete-integral method is used to obtain a local solution to the classical problem describing motion of a parabolic type; inversion of quadratures in elliptic Jacobi functions is used to obtain analytical expressions for representing star motion.

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