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2008 Straight and Circular Motions of a Particle in the Field of Two Fixed Attractors
Giovanni Mingari Scarpello, Arsen Palestini, Daniele Ritelli
J. Geom. Symmetry Phys. 11: 49-66 (2008). DOI: 10.7546/jgsp-11-2008-49-66


The two centre problem is studied both in the phase plane and in spacetime, assuming first a trajectory collinear, and, as a second case, a circular one through the newtonian attractors, finding a saddle equilibrium. For the latter problem a probably new differential equation is met and solved. Time is then obtained in both cases through elliptic integrals of all kinds and Jacobian functions.


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Giovanni Mingari Scarpello. Arsen Palestini. Daniele Ritelli. "Straight and Circular Motions of a Particle in the Field of Two Fixed Attractors." J. Geom. Symmetry Phys. 11 49 - 66, 2008.


Published: 2008
First available in Project Euclid: 24 May 2017

zbMATH: 1241.70021
MathSciNet: MR2433997
Digital Object Identifier: 10.7546/jgsp-11-2008-49-66

Rights: Copyright © 2008 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences


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