Mathematics – Logic
Scientific paper
Sep 2011
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011acasn..52..445d&link_type=abstract
Acta Astronomica Sinica, vol. 52, no.5 p. 445-446
Mathematics
Logic
Atrometry, Rlativistic Pocesses, Rference Sstems, Gavitation
Scientific paper
With the development of the unprecedented techniques for observation and the improvement of the advanced methods for measurement, it is time for astrometry to unfold a new era indubitably. Presently, the satellite laser ranging like LAser GEOdynamics Satellite (LAGEOS) has achieved a precision of 0.5 mas for orbit determination, the precision of Lunar Laser Ranging (LLR) has approached one millimeter, and Very Long Baseline Interferometry (VLBI) has attained the precision of 0.1 mas or even better. Beyond the current thresholds, astrometric observation will be able to attain the precision of a few μas or higher for some astrometric missions in the near future, such as Global Astrometric Interferometer for Astrophysics (GAIA) and Space Interferometry Mission (SIM).
With the modern continuous improvement of the observational accuracy, we realize that Newtonian mechanics has already deviated from the high-precision astronomical observation. A relativistic model for data processing of high-precision astrometry needs to be established. On the other hand, the continued failure in merging gravity with quantum mechanics and recent cosmological observations indicate that Einstein's general relativity needs some modifications. Thus, we are motivated by testing alternative gravity theories and parameterizing relativistic model. We mainly try to research these deeply.
Firstly, it is shown that the parameterized post-Newtonian parameter γ≠1 for Moffat's STVG by using Chandrasekhar's approach, and the theory is then ruled out by the experiments in the solar system. Then we propose a modified theory, MSTVG, to solve this problem. Besides, we use binary pulsar data to constrain two parameters in MSTVG.
Secondly, a parameterized 2PN framework for light propagation is developed based on the previous works in our research. By considering the non-static gravitational field of the solar system, the influences of all kinds of relativistic terms with different physical origins on light propagation are taken into account in this framework, which include the effects of the monopole and quadrupole moments of the gravitating bodies in the solar system and their gravitomagnetic fields. Besides, the expression for the influence of the second-order zonal harmonic coefficient on light propagation is presented. At last, a gauge-invariant angle between the directions of two incoming photons for the differential measurements in astrometric observation is derived in detail.
Finally, we expand the 2PN framework for light propagation proposed in the previous works. We consider the influences on the translational motion of bodies in the 1PN terms, the quadrupole and gravitomagnetic effects for light propagation. Afterwards, we derive the model of light propagation from finite to finite instead of the previous one from infinite to finite. It could be applied to the current and future space missions.
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