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Precision Measurement of Gravitational Frequency Shift of Radio Signals Using Rao-Cramer Estimates

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Abstract

A method has been developed for precision measurement of the gravitational frequency shift of communication radio signals between a spacecraft and a ground tracking station, based on the maximum likelihood principle, using the Rao-Cramer limit estimates for the kinematic parameters associated with orbital motion. Numerical illustrations of the efficiency of the method are presented using the example of data obtained in experiments with the Spektr-R satellite as part of the VLBI system in the Radioastron mission. A compensatory “on-line” technique for suppressing Doppler and atmospheric noise has been implemented due to the presence of two modes of communication in gravity sessions: unidirectional (1w) and looped (2w). Recipes for reducing the magnitude of systematic errors are discussed.

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ACKNOWLEDGMENTS

The authors express their gratitude to the members of the international group of researchers on the Radioastron project; to N. Bartel, N. Nunes (York Univ.), L. Gurvitz (JIVE), D. Litvinov (ASC), Zakhvatkin (AMI) for helpful discussions of this technique.

Funding

This work was supported by RFBR grant 19-29-11010.

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Authors and Affiliations

  1. Sternberg Astronomical Institute, Moscow State University, Moscow, 119991, Russia

    A. V. Belonenko, A. V. Gusev & V. N. Rudenko

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  1. A. V. Belonenko
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  2. A. V. Gusev
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  3. V. N. Rudenko
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Correspondence to A. V. Belonenko or V. N. Rudenko.

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Belonenko, A.V., Gusev, A.V. & Rudenko, V.N. Precision Measurement of Gravitational Frequency Shift of Radio Signals Using Rao-Cramer Estimates. Gravit. Cosmol. 27, 383–391 (2021). https://doi.org/10.1134/S0202289321040022

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