Robust method for determining the orbits of geostationary satellites with a lack of data

Authors

  • B.I. Demchenko Fesenkov Astrophysical Institute, Almaty, Kazakhstan
  • A.A. Komarov Al-Farabi Kazakh National University, Kazakstan, Almaty
  • L.A. Ussoltseva Fesenkov Astrophysical Institute, Almaty, Kazakhstan
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Keywords:

Keplerian elements, spherical coordinates, criterion function, differential corrections

Abstract

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).

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Published

2016-09-12

Issue

Vol. 58 No. 3 (2016): Recent Contributions to Physics

Section

Nonlinear Physics. Radiophysics