Analysis of periodic orbits in the Saturn-Titan system using the method of poincare section surfaces

DOI10.1007/s10509-011-0630-0zbMath1230.85008OpenAlexW2118834511MaRDI QIDQ659959

Juan-Miguel Gracia

Publication date: 24 January 2012

Published in: Astrophysics and Space Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10509-011-0630-0

zbMATH Keywords

periodic orbitsrestricted three-body problemquasi-periodic orbitsstability regionsPoincare surface of sectionSaturn-Titan system

Mathematics Subject Classification ID

Three-body problems (70F07) Galactic and stellar dynamics (85A05) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (3)

Periodic orbits in the generalized photogravitational Chermnykh-like problem with power-law profile ⋮ Dynamics of Infinitesimal Particle in the Framework of Photo-Gravitational Restricted Three-Body Problem ⋮ Characterization of the Phase Space Structure of Circular Restricted Three-Body Problem: An Alternative Approach

Cites Work

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• The onset of chaotic motion in the restricted problem of three bodies
• A computer aided analysis of the Sitnikov problem
• A new analytic approach to the Sitnikov problem
• The phase space structure of the extended Sitnikov problem
• Stability regions and quasi-periodic motion in the vicinity of triangular equilibrium points
• Stability in the restricted problem of three bodies with Liapounov Characteristic Numbers
• Periodic orbits and chaos around two fixed black holes. II
• Stationary solutions and their characteristic exponents in the restricted three-body problem when the more massive primary is an oblate spheroid
• BURRAU'S PROBLEM OF THREE BODIES

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