The two-body problem with radiation pressure in a rotating reference frame

DOI10.1007/BF00051898zbMath0828.70006MaRDI QIDQ1894311

Harry J. Dankowicz

Publication date: 18 December 1995

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

zbMATH Keywords

chaosnonintegrabilityplanar restricted three-body problemexistence of horseshoesMelnikov-type analysis

Mathematics Subject Classification ID

Two-body problems (70F05) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Waves and radiation in optics and electromagnetic theory (78A40)

Uses Software

• DSTool

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• The existence of arbitrarily many distinct periodic orbits in a two degree of freedom Hamiltonian system
• Resonance bands in a two degree of freedom Hamiltonian system
• Horseshoes in perturbations of Hamiltonian systems with two degrees of freedom
• Melnikov method and transversal homoclinic points in the restricted three-body problem
• The existence of transverse homoclinic points in the Sitnikov problem
• About an unsuspected integrable problem
• Melnikov’s method and Arnold diffusion for perturbations of integrable Hamiltonian systems
• LOOKING FOR CHAOS.
• The restricted 3-body problem with radiation pressure
• A problem of orbital dynamics, which is separable in KS-variables
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