Abstract
A mathematical model is constructed for the motion of an electromagnetic pulse used in laser ranging of the OZIRIS spacecraft. A formula is derived for the calculation of corrections to the distance of the spacecraft associated with the non-inertial motion of the laser station and the influence of the gravitational field of the Earth on the laser pulses. It is shown that these corrections must be taken into account when carrying out precision laser ranging of the spacecraft with the goal of distance determination to within 20 cm or better.
Similar content being viewed by others
References
A. A. Boyarchuk, A. V. Bagrov, A. M. Mikisha, et al., Kosm. Issled. 37, 3 (1999) [Cosmic Res. 37, 1 (1999)].
A. V. Bagrov, Tr. Gos. Astron. Inst. im. P.K. Shternberga 78, 10 (2005).
A. N. Aleksandrov, V. I. Zhdanov, and S. L. Parnovskiĭ, Kinernat. Fiz. Nebesnykh Tel 6, 3 (1990).
L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields (Nauka, Moscow, 1988; Pergamon, Oxford, 1975).
V. V. Podobed and V. V. Nesterov, General Astrometry (Nauka, Msocow, 1975) [in Russian].
V. N. Zharkov and V. P. Trubitsyn, Physics of Planetary Interiors (Nauka, Moscow, 1980) [in Russian].
B. W. Petley, Nature 303, 373 (1983).
G. N. Duboshin, Nebesnaya mekhanika (Stellar Mechanics) (Nauka, Moscow, 1968) [in Russian].
Author information
Authors and Affiliations
Additional information
Original Russian Text © M.M. Denisov, 2007, published in Astronomicheskiĭ Zhurnal, 2007, Vol. 84, No. 6, pp. 570–576
Rights and permissions
About this article
Cite this article
Denisov, M.M. Mathematical modeling of relativistic corrections for precision laser ranging with the OZIRIS spacecraft. Astron. Rep. 51, 512–517 (2007). https://doi.org/10.1134/S1063772907060108
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1134/S1063772907060108