Relativistic VLBI Delay Model for Finite Distance Radio Source
When very long baseline interferometry (VLBI) is applied to observation of finite distance radio source from observer and the curvature of the the wave front cannot be approximated as plane wave. Thus current standard VLBI model (‘Consensus model’) does not have enough accuracy and an alternative precise VLBI delay model for finite distance radio source corresponding to the ‘Consensus model’ is required in observation of radio source in the solar system (e.g. planets, asteroids, and spacecraft). We derived a formular of relativistic VLBI delay model for finite distance radio source by taking into account coordinates transformation by using linearized PPN metric. This model is valid in order of several pico seconds accuracy when the radio source is at distance beyond 109 m. Our model include the ‘Consensus model’ as a special case that radio source is at infinite distance form the observer.
Key wordsVery Long Baseline Interferometry Theory of Relativity Finite Distance Spacecraft Navigation
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- Eubanks, T. M. (1991) A Consensus Model for Relativistic Effects in Geodetic VLBI. Proc. of the USNO workshop on Relativistic Models for Use in Space Geodesy: 60–82Google Scholar
- Fukushima, T. (1994) Lunar VLBI observation model. A&A 291: 320–323Google Scholar
- McCarthy, D. D. and Petit, G. (2003), IERS Conventions.Google Scholar
- Moyer, T. D. (2000) Formulation for Observed and Computed Values of Deep Space Network Data Types for Navigation, JPL Monograph 2 (JPL Publication 00-7).Google Scholar
- Seidelmann, P. K. and Fukushima, T. (1992) Why new time scale?. A&A 265: 833–838Google Scholar
- Sovers, O. J. & Jacobs C. S. (1996) Observation Model and Parameter Partials for the JPL VLBI Parameter Estimation Software “MODEST”-1996”. JPL Publication 83–39, Rev. 6: 6–8Google Scholar