Standard Relativistic Reference Systems and the IAU Framework

Details Standard Relativistic Reference Systems and the IAU Framework Standard Relativistic Reference Systems and the IAU Framework

May 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009iau...261.0201s&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 classical post-Newtonian (PN) framework is formulated in one single reference system. In a series of papers Damour, Soffel and Xu laid the foundations for a new improved PN framework dealing with the celestial mechanical problem of N gravitationally interacting rotating bodies of arbitrary shape and the problem of astronomical reference systems. In the DSX-framework a total of N+1 reference systems with corresponding coordinates is introduced in the N-body problem: a global one covering the entire model manifold where the translational equations of motion are formulated and one local system attached to each of the N bodies that is co-moving with the body under consideration. In each of these systems the metric tensor is assumed to be of a special form determined by two potentials: a scalar and a vector potential. Theorems are given for the transformations between local and global coordinates and metric potentials. In each of the local systems outside the local body the metric potentials are expressed in terms of Blanchet-Damour mass- and spin-multipole moments.
The talk first introduces the original DSX formalism and then concentrates on IAU resolutions related with it. Finally, the formalism is extended to include also effects from the cosmic expansion. The influence of the Hubble expansion on the dynamics of the solar system is explicitly discussed in some detail.

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