A Planar Case of the N + 1 Body Problem: the `Ring' Problem

Details A Planar Case of the N + 1 Body Problem: the `Ring' Problem A Planar Case of the N + 1 Body Problem: the `Ring' Problem

Nov 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998ap%26ss.260..309k&link_type=abstract

Astrophysics and Space Science, v. 260, Issue 3, p. 309-325 (1999).

Astronomy and Astrophysics

Astrophysics

23

Scientific paper

Our intention in this article is to present a new model for the investigation of the motion of a particle of negligible mass in a multibody surrounding. The proposed general planar configuration consists of ν = n-1 primaries arranged in equal arcs on an ideal ring and a central body of different mass located at the centre of mass of the system. We formulate the general equations of motion and we study the stationary solutions and the zero-velocity contours for various values of ν.

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