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arXiv:0711.4292 (astro-ph)
[Submitted on 27 Nov 2007]

Title:Influence of mass multipole moments on the deflection of a light ray by an isolated axisymmetric body

Authors:Christophe Le Poncin-Lafitte, Pierre Teyssandier
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Abstract: Future space astrometry missions are planned to measure positions and/or parallaxes of celestial objects with an accuracy of the order of the microarcsecond. At such a level of accuracy, it will be indispensable to take into account the influence of the mass multipole structure of the giant planets on the bending of light rays. Within the parametrized post-Newtonian formalism, we present an algorithmic procedure enabling to determine explicitly this influence on a light ray connecting two points located at a finite distance. Then we specialize our formulae in the cases where 1) the light source is located at space infinity, 2) both the light source and the observer are located at space infinity. We examine in detail the cases where the unperturbed ray is in the equatorial plane or in a meridian plane.
Comments: 9 pages. Submitted to Physical Review D
Subjects: Astrophysics (astro-ph); General Relativity and Quantum Cosmology (gr-qc)
Cite as: arXiv:0711.4292 [astro-ph]
  (or arXiv:0711.4292v1 [astro-ph] for this version)
  https://doi.org/10.48550/arXiv.0711.4292
Journal reference: Phys.Rev.D77:044029,2008; Erratum-ibid.D77:069901,2008
Related DOI: https://doi.org/10.1103/PhysRevD.77.044029 https://doi.org/10.1103/PhysRevD.77.069901

Submission history

From: Christophe Le Poncin-Lafitte [view email]
[v1] Tue, 27 Nov 2007 16:18:27 UTC (11 KB)
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