Robust method for determining the orbits of geostationary satellites with a lack of data
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Keywords:
Keplerian elements, spherical coordinates, criterion function, differential correctionsAbstract
The algorithm determining the Keplerian orbit elements GSS is presented taking into account a priori information. For it is proposed to use a regular system of elements Ei (i = 1, ..., 6). It is support system, free from that famous mathematical uncertainty elements of Kepler, which is associated with their non-orthogonality. Elements of the proposed support system are calculated by iterative method of differential corrections. In this case it is possible to consider a priori limitations and increase the stability of the algorithm.
References
1 B.I. Demchenko, Izv. NAN RK. Ser. fiz.-mat., №4(254), (2007).
2 A.N. Tihonov, V.Ja. Arsenin, Methods for solving incorrect problems. М., Nauka, 1974, 323.
3 Reference Guide to celestial mechanics and astrodynamics. Under edition of G.N. Duboshin. М., Nauka, 1976, 864.
4 М.V. Aref’eva, Numerical Methods and Programming, 35, 51-68, (1981).
2 A.N. Tihonov, V.Ja. Arsenin, Methods for solving incorrect problems. М., Nauka, 1974, 323.
3 Reference Guide to celestial mechanics and astrodynamics. Under edition of G.N. Duboshin. М., Nauka, 1976, 864.
4 М.V. Aref’eva, Numerical Methods and Programming, 35, 51-68, (1981).
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How to Cite
Demchenko, B., Komarov, A., & Ussoltseva, L. (2016). Robust method for determining the orbits of geostationary satellites with a lack of data. Recent Contributions to Physics (Rec.Contr.Phys.), 58(3), 120–124. Retrieved from https://bph.kaznu.kz/index.php/zhuzhu/article/view/922
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Section
Nonlinear Physics. Radiophysics
