Light propagation in the gravitational field of N arbitrarily moving bodies in the 1.5PN approximation for high-precision astrometry

Abstract

High-precision astrometry on sub-micro-arcsecond level in angular resolution requires accurate determination of the trajectory of a light-signal from the celestial light source through the gravitational field of the Solar system toward the observer. In this investigation the light trajectory in the gravitational field of N moving bodies is determined in the 1.5 post-Newtonian approximation. In the approach presented two specific issues of particular importance are accounted for: (1) According to the recommendations of International Astronomical Union, the metric of the Solar system is expressed in terms of intrinsic mass-multipoles and intrinsic spin-multipoles of the massive bodies, allowing for arbitrary shape, inner structure and rotational motion of the massive bodies of the Solar system. (2) The Solar system bodies move along arbitrary worldlines which can later be specified by Solar system ephemeris. The presented analytical solution for light trajectory is a primary requirement for extremely high-precision astrometry on sub-micro-arcsecond level of accuracy and associated massive computations in astrometric data reduction. An estimation of the numerical magnitude for time delay and light deflection of the leading multipoles is given.

51 pages, 1 figure, 3 tables. arXiv admin note: text overlap with arXiv:1509.07279

References in corpus (12)

• Quantum Physics Exploring Gravity in the Outer Solar System: The Sagas Project
• A Preliminary Jupiter Model
• Gravitational bending of light by planetary multipoles and its measurement with microarcsecond astronomical interferometers
• ASTROD and ASTROD I -- Overview and Progress
• Odyssey: a Solar System Mission
• A general relativistic model for the light propagation in the gravitational field of the Solar System: the dynamical case
• High precision astrometry with a diffractive pupil telescope
• The Second Post-Newtonian Light Propagation and Its Astrometric Measurement in the Solar System
• Light propagation in the field of a moving axisymmetric body: theory and application to JUNO
• The gravitational time delay in the field of a slowly moving body with arbitrary multipoles
• Gravitational field of one uniformly moving extended body and N arbitrarily moving pointlike bodies in post-Minkowskian approximation
• The post-linear Schwarzschild solution in harmonic coordinates: elimination of structure-dependent terms

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• Light propagation in the field of the N-body system and the application in the TianQin mission
• Light propagation in 2PN approximation in the monopole and quadrupole field of a body at rest: Initial value problem
• Gravitational wave effects on astrometric observables
• Total light deflection in the gravitational field of an axisymmetric body at rest with full mass and spin multipole structure
• Post-Minkowskian solution for the small-deflection motion of test particles in Kerr-Newman spacetime