VELOCITY CORRECTIONS TO KEPLER ENERGY AND LAPLACE INTEGRAL

DOI10.1142/S0129183108012996zbMath1163.85002MaRDI QIDQ5505969

Da-Zhu Ma, Fuyao Liu, Xin Wu

Publication date: 28 January 2009

Published in: International Journal of Modern Physics C (Search for Journal in Brave)

zbMATH Keywords

perturbed Kepler problems\(n\) body simulationsinvariant relations.manifold corrections

Mathematics Subject Classification ID

Celestial mechanics (70F15) Galactic and stellar dynamics (85A05) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (4)

Chaotic motion of particles in the accelerating and rotating black holes spacetime ⋮ Chaotic dynamics of string around charged black brane with hyperscaling violation ⋮ Effects of manifold correction methods on chaos indicators ⋮ Application of Indicators for Chaos in Chaotic Circuit Systems

Cites Work

• Unnamed Item
• On stabilization of energy for Hamiltonian systems
• Numerical stabilization of orbital motion
• Non-existence of the modified first integral by symplectic integration methods. II: Kepler problem
• A new conservative numerical integration algorithm for the three-dimensional Kepler motion based on the Kustaanheimo-Stiefel regularization theory
• POST-STABILIZATION OF INVARIANTS AND APPLICATION TO NUMERICAL ANALYSIS OF CHAOS FOR SOME 3-DIMENSIONAL SYSTEMS

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