On the foundations of general relativistic celestial mechanics

DOI10.1142/S0217751X17300228zbMath1375.70003arXiv1707.04424WikidataQ57514504 ScholiaQ57514504MaRDI QIDQ4597308

Emmanuele Battista, Simone Dell'Agnello, Giampiero Esposito

Publication date: 12 December 2017

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

Full work available at URL: https://arxiv.org/abs/1707.04424

zbMATH Keywords

\(N\)-body problemmultipole expansion: ephemeris

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to relativity and gravitational theory (83-02) Celestial mechanics (70F15) (n)-body problems (70F10) Equations of motion in general relativity and gravitational theory (83C10) Research exposition (monographs, survey articles) pertaining to mechanics of particles and systems (70-02)

Cites Work

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• The planetary \(N\)-body problem: symplectic foliation, reductions and invariant tori
• Special solutions in a simplified restricted three-body problem with gravitational radiation taken into account
• The gravitational equations and the problem of motion
• The gravitational equations and the problem of motion. II
• Equations of Motion in General Relativity
• Relativistic Celestial Mechanics of the Solar System
• LUNAR LASER RANGING TESTS OF THE EQUIVALENCE PRINCIPLE WITH THE EARTH AND MOON
• Multipole Moments. II. Curved Space
• The multipole structure of stationary space-times
• Celestial coordinate reference systems in curved space-time
• Centers of mass and rotational kinematics for the relativistic N-body problem in the rest-frame instant form
• On solar system dynamics in general relativity
• ON MOULTON'S ORBITS IN THE RESTRICTED PROBLEM OF THREE BODIES
• Hamiltonian relativistic two-body problem: center of mass and orbit reconstruction

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