Chaotic Motion Around Prolate Deformed Bodies

Details Chaotic Motion Around Prolate Deformed Bodies Chaotic Motion Around Prolate Deformed Bodies

2001-01-10

arxiv.org/abs/astro-ph/0101164v1

Phys.Rev. E63 (2001) 035201

Astronomy and Astrophysics

Astrophysics

RevTEX, 7 eps figures, To appear in Phys Rev E (March 2001)

Scientific paper

10.1103/PhysRevE.63.035201

The motion of particles in the field of forces associated to an axially symmetric attraction center modeled by a monopolar term plus a prolate quadrupole deformation is studied using Poincare surface of sections and Lyapunov characteristic numbers. We find chaotic motion for certain values of the parameters, and that the instability of the orbits increases when the quadrupole parameter increases. A general relativistic analogue is briefly discussed.

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