Astronomical relativistic reference systems with multipolar expansion: the global one
arXiv:1405.0882 · doi:10.1088/1674-4527/14/9/009
Abstract
With rapid development of techniques for astronomical observations, the precision of measurements has been significantly increasing. Theories of astronomical relativistic reference systems, which are the foundation for processing and interpreting these data now and in the future, may require extensions to satisfy the needs of these trends. Besides building a framework compatible with alternative theories of gravity and the pursuit of higher order post-Newtonian approximation, it will also be necessary to make the first order post-Newtonian multipole moments of celestial bodies be explicitly expressed in the astronomical relativistic reference systems. This will bring some convenience into modeling the observations and experiments and make it easier to distinguish different contributions in measurements. As the first step, the global solar system reference system is multipolarly expanded and the post-Newtonian mass and spin moments are shown explicitly in the metric which describes the coordinates of the system. The full expression of the global metric is given.
arXiv comment13 pages, 1 figure; accepted by Research in Astron. Astrophys. for publication
References in corpus (14)
- Frequency Comparison of Two High-Accuracy Al+ Optical Clocks
- The IAU 2000 resolutions for astrometry, celestial mechanics and metrology in the relativistic framework: explanatory supplement
- Quantum Physics Exploring Gravity in the Outer Solar System: The Sagas Project
- Relativistic theory for time and frequency transfer to order c^{-3}
- Parametrized Post-Newtonian Theory of Reference Frames, Multipolar Expansions and Equations of Motion in the N-body Problem
- ASTROD and ASTROD I -- Overview and Progress
- Advancing Tests of Relativistic Gravity via Laser Ranging to Phobos
- Relativistic Celestial Mechanics with PPN Parameters
- 2PN Light Propagation in the Scalar-Tensor Theory: an -Point-Masses Case
- Scalar-tensor propagation of light in the inner solar system at the millimetric level
- A Search for New Physics with the BEACON Mission
- Yukawa effects on the clock onboard a drag-free satellite
- New Concept for Testing General Relativity: The Laser Astrometric Test of Relativity (LATOR) Mission
- Transformation between and TCB for Deep Space Missions under IAU Resolutions