Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-26T16:54:19.015Z Has data issue: false hasContentIssue false
  • English
  • Français

Gravitational bending of light by planetary multipoles and its measurement with microarcsecond astronomical interferometers

Published online by Cambridge University Press:  01 October 2007

S. Kopeikin  and
V. Makarov
S. Kopeikin
Affiliation:
Department of Physics & Astronomy, University of Missouri-Columbia, Columbia, MO 65211 email: kopeikins@missouri.edu
V. Makarov
Affiliation:
Michelson Science Center, California Technology Institute, Pasadena, CA 91125 email: vvm@caltech.edu
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

General relativistic deflection of light by mass, dipole, and quadrupole moments of gravitational field of a moving massive planet in the Solar system is derived in the approximation of the linearized Einstein equations. All terms of the order of 1 μas and larger are taken into account, parameterized, and classified in accordance with their physical origin. We discuss the observational capabilities of the near-future optical and radio interferometers for detecting the Doppler modulation of the radial deflection, and the dipolar and quadrupolar light-ray bending by Jupiter and Saturn.

Keywords

gravitationgravitational lensingastrometryreference systemsplanets and satellites: individual (Jupiter)Saturntechniques: interferometric
Type
Contributed Papers
Information
Proceedings of the International Astronomical Union , Volume 3 , Symposium S248: A Giant Step: from Milli- to Micro-arcsecond Astrometry , October 2007 , pp. 391 - 394
Copyright
Copyright © International Astronomical Union 2008

References

Arnold, V. I. 1978, Mathematical Methods of Classical Mechanics (Springer-Verlag: Berlin)CrossRefGoogle Scholar
Brumberg, V. A., Klioner, S. A., & Kopeikin, S. M. 1990, In: Inertial Coordinate System on the Sky, Proc. of the IAU Symp. 141, Eds. Lieske, J. H. & Abalakin, V. K. (Kluwer: Dordrecht), pp. 229–240Google Scholar
Carilli, C. & Rawlings, S. (eds.) 2004, “Science with the Square Kilometre Array”, New Astron. Rev., Vol. 48, pp. 979ndash;1606Google Scholar
Ciufolini, I., 2007, Nature, 449, 41CrossRefGoogle Scholar
Crosta, M. T. & Mignard, F. 2006, Class. Quant. Grav., 23, 4853CrossRefGoogle Scholar
Fomalont, E. B. & Kopeikin, S. M. 2003, Astrophys. J., 598, 704Google Scholar
Fomalont, E. & Reid, M. 2004, New Astron. Rev., 48, 1473Google Scholar
Gouda, N., Kobayashi, Y., Yamada, Y., Yano, T., Tsujimoto, T., Suganuma, M., Niwa, Y., Yamauchi, M., Kawakatsu, Y., Matsuhara, H., Noda, A., Tsuiki, A., Utashima, M.; Ogawa, A.; Sako, N.; JASMINE working group 2006, Memorie della Societa Astronomica Italiana, 77, 1185Google Scholar
Kopeikin, S. M. 2001, Astrophys. J. Lett., 556, 1Google Scholar
Kopeikin, S. M. & Schäfer, G. 1999, Phys. Rev. D, 60, 124002CrossRefGoogle Scholar
Kopeikin, S. M., Schäfer, G., Gwinn, C. R., & Eubanks, T. M. 1999, Phys. Rev. D, 59, 084023Google Scholar
Kopeikin, S. M. & Gwinn, C. R. 2000, In: Towards Models and Constants for Sub-Microarcsecond Astrometry, Proc. of IAU Coll. 180, Washington DC: U.S. Naval Obs., 2000. Eds Johnston, K. J., McCarthy, D. D., Luzum, B. J. and Kaplan, G. H.., pp. 303–307Google Scholar
Kopeikin, S. & Mashhoon, B. 2002, Phys. Rev. D, 65, 064025CrossRefGoogle Scholar
Kopeikin, S. M. & Makarov, V. 2006, AJ, 131, 1471CrossRefGoogle Scholar
Kopeikin, S., Korobkov, P., & Polnarev, A. 2006, Class. Quant. Grav., 23, 4299CrossRefGoogle Scholar
Kopeikin, S. M. & Fomalont, E. B. 2006, Found. of Phys., 36, 1244Google Scholar
Kopeikin, S. M. & Fomalont, E. B. 2007, Gen. Rel. Grav., 39, 1583CrossRefGoogle Scholar
Kopeikin, S. M. & Makarov, V. V. 2007, Phys. Rev. D, 75, 062002Google Scholar
Kopeikin, S., Schäfer, G., Polnarev, A., & Vlasov, I. 2006, Phys. Lett. A, 367, 276Google Scholar
Laskin, R. A. 2006, In: Advances in Stellar Interferometry Eds. Monnier, J. D., Schöller, M. & Danchi, W. C.. Proc. of the SPIE, vol. 6268, p. 65Google Scholar
Perryman, M. A. C. 2005, In: Astrometry in the Age of the Next Generation of Large Telescopes, Eds. Seidelmann, P. K. & Monet, A. K. B. (San Francisco: Astron. Soc. of the Pacific) ASP Conference Series, vol. 338, p. 3Google Scholar
Pitjeva, E. V. 2005, Astron. Lett., 31, 340Google Scholar
Schneider, P., Ehlers, J., & Falco, E. E. 1992, Gravitational Lenses, (Springer: Berlin)Google Scholar
Schuh, H., Fellbaum, M., Campbell, J., Soffel, M., Ruder, H., & Schneider, M. 1988, Phys. Lett. A, 129, 299CrossRefGoogle Scholar
Treuhaft, R. N. & Lowe, S. T. 1991, Astron. J. (USA), 102, 1879Google Scholar
Wex, N. & Kopeikin, S. M., 1999, Astrophys. J., 514, 388CrossRefGoogle Scholar
Whipple, A. L., Jefferys, W. H., Benedict, , et al. 1996, BAAS, 28, 1187Google Scholar