Standard

Approximate analytical theory of satellite orbit prediction presented in spherical coordinates frame. / Alimov, Gennadii; Greb, Alexhander; Kuznetsov, Eduard et al.
In: Celestial Mechanics and Dynamical Astronomy, Vol. 81, No. 3, 2001, p. 219-234.

Research output: Contribution to journal › Article › peer-review

Harvard

Alimov, G, Greb, A, Kuznetsov, E & Polyakhova, E 2001, 'Approximate analytical theory of satellite orbit prediction presented in spherical coordinates frame', Celestial Mechanics and Dynamical Astronomy, vol. 81, no. 3, pp. 219-234. https://doi.org/10.1023/A:1013252917957

APA

Alimov, G., Greb, A., Kuznetsov, E., & Polyakhova, E. (2001). Approximate analytical theory of satellite orbit prediction presented in spherical coordinates frame. Celestial Mechanics and Dynamical Astronomy, 81(3), 219-234. https://doi.org/10.1023/A:1013252917957

Vancouver

Alimov G, Greb A, Kuznetsov E, Polyakhova E. Approximate analytical theory of satellite orbit prediction presented in spherical coordinates frame. Celestial Mechanics and Dynamical Astronomy. 2001;81(3):219-234. doi: 10.1023/A:1013252917957

Author

Alimov, Gennadii ; Greb, Alexhander ; Kuznetsov, Eduard et al. / Approximate analytical theory of satellite orbit prediction presented in spherical coordinates frame. In: Celestial Mechanics and Dynamical Astronomy. 2001 ; Vol. 81, No. 3. pp. 219-234.

BibTeX

@article{697ace46900942378cbd3e64bbe9fd7f,
title = "Approximate analytical theory of satellite orbit prediction presented in spherical coordinates frame",
abstract = "A comparative review of analytic theories for the motion of Earth satellites in quasicircular orbits written in the spherical coordinate frame is presented. The theory of motion is developed for satellites in quasi-circular and quasi-equatorial orbits subjected to geopotential, luni-solar and solar radiation pressure force perturbations. The intermediate orbit is Keplerian and the equations of motion are solved by the Lyapunov-Poincar{\'e} small parameter method. Both resonant and non-resonant cases are considered. The results can be useful for the development of a complete theory of weakly eccentric orbits.",
author = "Gennadii Alimov and Alexhander Greb and Eduard Kuznetsov and Elena Polyakhova",
note = "Authors would like to thank Prof. K.V.Kholshevnikov for useful discussion. Eduard Kuznetsov was partly supported by Grant of Federal Scientific and Technical Program {\textquoteleft}Astronomy{\textquoteright}. Elena Polyakhova was partly supported by Grant 99–01–00706 from the Russian Foundation of Basic Research.",
year = "2001",
doi = "10.1023/A:1013252917957",
language = "English",
volume = "81",
pages = "219--234",
journal = "Celestial Mechanics and Dynamical Astronomy",
issn = "0923-2958",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - Approximate analytical theory of satellite orbit prediction presented in spherical coordinates frame

AU - Alimov, Gennadii

AU - Greb, Alexhander

AU - Kuznetsov, Eduard

AU - Polyakhova, Elena

N1 - Authors would like to thank Prof. K.V.Kholshevnikov for useful discussion. Eduard Kuznetsov was partly supported by Grant of Federal Scientific and Technical Program ‘Astronomy’. Elena Polyakhova was partly supported by Grant 99–01–00706 from the Russian Foundation of Basic Research.

PY - 2001

Y1 - 2001

N2 - A comparative review of analytic theories for the motion of Earth satellites in quasicircular orbits written in the spherical coordinate frame is presented. The theory of motion is developed for satellites in quasi-circular and quasi-equatorial orbits subjected to geopotential, luni-solar and solar radiation pressure force perturbations. The intermediate orbit is Keplerian and the equations of motion are solved by the Lyapunov-Poincaré small parameter method. Both resonant and non-resonant cases are considered. The results can be useful for the development of a complete theory of weakly eccentric orbits.

AB - A comparative review of analytic theories for the motion of Earth satellites in quasicircular orbits written in the spherical coordinate frame is presented. The theory of motion is developed for satellites in quasi-circular and quasi-equatorial orbits subjected to geopotential, luni-solar and solar radiation pressure force perturbations. The intermediate orbit is Keplerian and the equations of motion are solved by the Lyapunov-Poincaré small parameter method. Both resonant and non-resonant cases are considered. The results can be useful for the development of a complete theory of weakly eccentric orbits.

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UR - http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=0042887039

U2 - 10.1023/A:1013252917957

DO - 10.1023/A:1013252917957

M3 - Article

VL - 81

SP - 219

EP - 234

JO - Celestial Mechanics and Dynamical Astronomy

JF - Celestial Mechanics and Dynamical Astronomy

SN - 0923-2958

IS - 3

ER -

ID: 42931588