The dumb-bell's restricted, photogravitational, circular three-body problem

Details The dumb-bell's restricted, photogravitational, circular three-body problem The dumb-bell's restricted, photogravitational, circular three-body problem

Sep 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008aipc.1043..210r&link_type=abstract

EXPLORING THE SOLAR SYSTEM AND THE UNIVERSE. AIP Conference Proceedings, Volume 1043, pp. 210-211 (2008).

Physics

Celestial Mechanics, Stellar Rotation, Newtonian Mechanics, Solar Physics, Binary And Multiple Stars, Lagrangian And Hamiltonian Mechanics

Scientific paper

We study the dumb-bell's planar motion in the frame of the photogravitational restricted three body problem. The main topic of this paper is the connection between the translation and the spin motion of the dumb-bell, under the action of a photogravitational field generated by a binary system. The dumb-bell's equations of motion in the orbital plane are established, first using an inertial reference system, and then a rotating one. A prime integral of Jacobi type is found. Then are analyzed the equipotential surfaces and the equilibrium points. A geometrical feature of equilibrium points is established.

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