Two-body motion in the post-Newtonian approximation

DOI10.1007/BF01234566zbMath0664.70030OpenAlexW4234525502MaRDI QIDQ3815596

David L. Richardson, Thomas J. Kelly

Publication date: 1988

Published in: Celestial Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01234566

zbMATH Keywords

phase spacepost-Newtonian approximationstate spaceClosed-form solutionsKeplerian elementsDelaunay elementscanonical transformation method of implicit variablesDelaunay element solutionsmotion of two massive particlesvelocity-dependent Legendre transformation

Mathematics Subject Classification ID

Two-body problems (70F05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Approximation procedures, weak fields in general relativity and gravitational theory (83C25) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Related Items (4)

The joint effect of relativistic and direct solar radiation pressure on an axially symmetric spacecraft. II: The solution and the elements of transformation ⋮ PARSEC: An interactive Poisson series processor for personal computing systems ⋮ Long-term evolution of orbits about a precessing oblate planet. I: The case of uniform precession ⋮ On the energy integral for first post-Newtonian approximation

Uses Software

• PARSEC

Cites Work

• Unnamed Item
• The gravitational equations and the problem of motion
• Equations of Motion in General Relativity Theory and the Action Principle
• The two-body problem in the (truncated) PPN ? Theory
• The elimination of the parallax in satellite theory
• Canonical transformations depending on a small parameter
• On The Motion of Particles in General Relativity Theory
• Equations of Motion in General Relativity: II The Coordinate Condition

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