Hostname: page-component-76fb5796d-x4r87 Total loading time: 0 Render date: 2024-04-26T00:59:40.983Z Has data issue: false hasContentIssue false
  • English
  • Français

Relativistic effects in Earth based and cosmic long baseline interferometry

Published online by Cambridge University Press:  04 August 2017

W. H. Cannon ,
D. Lisewski ,
A. M. Finkelstein  and
V. Ya Kreinovich
W. H. Cannon
Affiliation:
York University, Department of Earth and Atmospheric Science, 4700 Keele Street Toronto, Canada, M3J 1P3
D. Lisewski
Affiliation:
York University, Department of Earth and Atmospheric Science, 4700 Keele Street Toronto, Canada, M3J 1P3
A. M. Finkelstein
Affiliation:
U.S.S.R. Academy of Sciences, Special Astrophysical Observatory, Leningrad 140 Pulkovo, U.S.S.R. 196140
V. Ya Kreinovich
Affiliation:
U.S.S.R. Academy of Sciences, Special Astrophysical Observatory, Leningrad 140 Pulkovo, U.S.S.R. 196140

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.

With present day technology the technique which provides the greatest precision in astrometric and geodetic measurement is Very Long Baseline Interferometry (VLBI) (Robertson, 1975; Dravskykh, 1981; Gubanov, 1983). The precision of present day astrometrical measurements by VLBI exceeds those of the best modern optical observations by an order and a half of magnitude and is capable of further improvement by the future development of phase stable, wide band, global networks and by the future deployment of VLBI antennas in space. Such precision of observation places the technique of VLBI well within the regime of special and general relativity. The present paper presents an analysis of relativistic effects on VLBI measurements with an accuracy of 0.0001 arc seconds.

Type
Relativistic Effects Near the Earth
Information
Symposium - International Astronomical Union , Volume 114: Relativity in Celestial Mechanics and Astrometry , 1986 , pp. 255 - 268
Copyright
Copyright © Reidel 1986 

References

Ashby, N., Allan, D. W. ‘Practical Implications of Relativity For A Global Coordinate Time Scale’, Radio Sci., Vol. 14, p. 649–669, 1979.Google Scholar
Brumberg, V. A., ‘Relativistskaya Nebesnaya Mekhanika’ (Relativistic Celestial Mechanics), Moscow, Nauka Publ., 1972 (in Russian).Google Scholar
Dravskykh, A. F., Parijskj, Yu. N., Stotskij, A. A., Finkelstein, A. M., Friedman, P. A., Soviet Physics, Vol. 24, No. 12, p.949 ff, 1981.Google Scholar
Fanselow, J. L. ‘Observation Model and Parameter Partials for the J.P.L. VLBI Parameter Estimation Software MASTERFIT V 1.0’, NASA J.P.L. Publication 83–39, 1983.Google Scholar
Finkelstein, A. M., Kreinovich, V. Ya., in ‘Problems of Modern Astrometry in the Creation of an Inertial Coordinate System’, p.287 ff., Scheglov, V. P., ed. Fan Publ. 1981 (in Russian).Google Scholar
Finkelstein, A. M., Kreinovich, V. Ya., Pandey, S. N., ‘Relativistic Reductions for Radiointerferometric Observables’, Astrophys. and Space Sci., Vol. 94, p. 233–247, 1983.Google Scholar
Gubanov, V. S., Finkelstein, A. M., Freidman, P. A., ‘Introduction to Radio Astronomy’, Moscow, Nauka Publ. 1983 (in Russian).Google Scholar
Hellwig, H., ‘Microwave Time and Frequency Standards’, Radio Sci., Vol. 14, p. 561–572, 1979.Google Scholar
Jimenez, J. J., ‘Microwave to Visible Frequency Synthesis’, Radio Sci. Vol. 14, p. 541–560, 1979.Google Scholar
Moyer, T. D., ‘Mathematical Formulation of the Double Precision Orbit Determination Program (DPODP)’, NASA Technical Report 32-1527 , J.P.L. 1971.Google Scholar
Moyer, T. D., ‘Transformation from Propert Time on Earth to Coordinate Time in Solar System Barycenter Space-Time Frame of Reference’, Celestial Mechanics, Vol. 23, p. 33–56, 1981.Google Scholar
Pavlov, V. N., Astron. Zh. No. 2, p.385–392, 1984 (in Russian).Google Scholar
Pavlov, V. N., Astron. Zh. No. 1, p.172–180, 1985 (in Russian).Google Scholar
Robertson, D. S., ‘Geodetic and Astrometric Measurements with Very Long Baseline Interferometry’, , Massachussetts Institute of Technology, 08 1975.Google Scholar
Soffel, M., et al. - the present volume.Google Scholar
Thomas, J. B., ‘Reformulation of the Relativistic Conversion Between Coordinate and Atomic Time’, Astr. J. Vol. 80, p. 405–411, 1975.Google Scholar
Vessot, R. F. C., ‘ Relativity Experiments with Clocks’, Radio Sci., Vol. 14, p.629–647, 1979.Google Scholar
Will, C. M., ‘The Theoretical Tools of Experimental Gravitation’, in Experimental Gravitation, Bertotti, ed. Academic Press 1974.Google Scholar
Winkler, G. M. R., Van Flandern, T. C., ‘Ephemeris Time, Relativity, and the Problem of Uniform Time in Astronomy’, Astr. J., Vol. 82, p. 84–92, 1977.Google Scholar