General Relativistic Elastic Body, Fluid,quasi-rigid Body, Quasi-liquid and Others in Multiple Coordinate Systems

Details General Relativistic Elastic Body, Fluid,quasi-rigid Body, Quasi-liquid and Others in Multiple Coordinate Systems General Relativistic Elastic Body, Fluid,quasi-rigid Body, Quasi-liquid and Others in Multiple Coordinate Systems

May 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009iau...261.0205x&link_type=abstract

American Astronomical Society, IAU Symposium #261. Relativity in Fundamental Astronomy: Dynamics, Reference Frames, and Data Ana

Astronomy and Astrophysics

Astronomy

Scientific paper

The approximation method in multiple coordinate systems at first post Newtonian (1 PN) level has been established by Darmour, Soffel and Xu (Phys. Rev. D(PRD) 43, 3273 (1991);D 45, 1017(1992);D 47, 3124 (1993);D 49, 618 (1994)). Normally, to discuss an astronomical object (e.g. a star in binary systems or the earth in solar system) we need multiple coordinate systems, especially for precise astrometry 1 PN (some time even 2 PN) approximate method is required. As we know up to now the ideas on elastic body, fluid, rigid body and liquid in the framework of Newtonian physics are still very useful for understanding and calculating some practical problems. Although the general relativistic theories of elastic body, general relativistic hydrodynamics and post-Newtonian quasi-rigid body have been
discussed by many authors (including our papers (PRD63, 043002(2001); D63, 064001(2001); D68, 064009(2003); D69, 024003(2004); D71,024030 (2005))), but there is no completing discussion on all of these ideas in a unified point view. The applications of these ideas in the general relativity are important in the research fields of astrometry and geophysics, especially in
case precise measurements reach so higher level (millimicro arc sec). The extended relativistic versions of these ideas should be revised the Newtonian results. In this paper, we shall give a complete discussion on all of these ideas in 1 PN approximation. We shall clarify the ideas on perfect elastic material, quasi-rigid body, quasi-liquid and so on with some precise mathematical forms. For fluid we show the hydrodynamic equations of a non-perfect fluid in multiple coordinates systems (both local and global).

Affiliated with

Also associated with

No associations

Rating

General Relativistic Elastic Body, Fluid,quasi-rigid Body, Quasi-liquid and Others in Multiple Coordinate Systems 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 Elastic Body, Fluid,quasi-rigid Body, Quasi-liquid and Others in Multiple Coordinate Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and General Relativistic Elastic Body, Fluid,quasi-rigid Body, Quasi-liquid and Others in Multiple Coordinate Systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-811810