General relativistic celestial mechanics. Part 2: Translational equations of motion

Details General relativistic celestial mechanics. Part 2: Translational equations of motion General relativistic celestial mechanics. Part 2: Translational equations of motion

Oct 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991phrvd..43.3273d&link_type=abstract

Physical Review D (Particles and Fields), Volume 43, Issue 10, 15 May 1991, pp.3273-3307

Physics

143

Celestial Mechanics, Equations Of Motion, Gravitational Fields, Relativity, Tides, Translational Motion, Center Of Mass, Deformation, Multipoles, Relativistic Effects, Rotating Bodies

Scientific paper

The translation laws of motion for gravitationally interacting systems of N, arbitrarily composed and shaped, weakly self gravitating, rotating, deformable bodies are obtained at the first post-Newtonian approximation of general relativity. The derivation uses the authors' recently introduced multi-reference system method and obtains the translational laws of motion by writing that, in the local center of mass frame of each body, relativistic inertial effects combine with post-Newtonian self and externally generated gravitational forces to produce global equilibrium (relativistic generalization of d'Alembert's principle). Within the post-Newtonian approximation, i.e., neglecting terms of order v/c to the 4th power in the equations of motion, the authors' work is the first to obtain complete and explicit results, in the form of infinite series, for the laws of motion of arbitrarily composed and shaped bodies. The authors first obtain the laws of motion of each body as an infinite series exhibiting the coupling of all the (Blanchet-Damour) post-Newtonian multipole moments of the body to the post-Newtonian tidal moments felt by the body.

Affiliated with

Also associated with

No associations

Rating

General relativistic celestial mechanics. Part 2: Translational equations of motion does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with General relativistic celestial mechanics. Part 2: Translational equations of motion, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and General relativistic celestial mechanics. Part 2: Translational equations of motion will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1876815