Equilibria in the gravitational field of a triangular body

The existence, stability and bifurcation analysis is performed for equilibria of a material point in the gravitational field of three homogeneous penetrable balls fixed in absolute frame. The radii of the balls are assumed finite. In the case when the mass distribution admits a symmetry axis, analyt...

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Bibliographic Details
Published in:Celestial mechanics and dynamical astronomy 2018-09, Vol.130 (9), p.1-17, Article 58
Main Authors: Burov, Alexander A., Guerman, Anna D., Nikonov, Vasily I.
Format: Article
Language:English
Subjects:
Aerospace Technology and Astronautics
Astrophysics and Astroparticles
Bifurcations
Classical Mechanics
Domains
Dynamical Systems and Ergodic Theory
Geophysics/Geodesy
Gravitation
Gravitational fields
Instability
Mass distribution
Original Article
Physics
Physics and Astronomy
Stability
Stability analysis
Symmetry
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Summary:The existence, stability and bifurcation analysis is performed for equilibria of a material point in the gravitational field of three homogeneous penetrable balls fixed in absolute frame. The radii of the balls are assumed finite. In the case when the mass distribution admits a symmetry axis, analytic expressions are written out, allowing one to investigate the properties of equilibrium positions located both on the symmetry axis and outside it. The stability of solutions is studied; domains with different instability degree are described.
ISSN:0923-2958
1572-9478
DOI:10.1007/s10569-018-9850-8