<abstract xmlns="http://www.w3.org/1999/xhtml">The presented algorithms of computation of orbital elements and positions of GLONASS satellites are based on the asymmetric variant of the generalized problem of two fixed centers. The analytical algorithm embraces the disturbing acceleration due to the second <italic>J</italic>2 and third <italic>J</italic>3 coefficients, and partially fourth zonal harmonics in the expansion of the Earth’s gravitational potential. Other main disturbing accelerations – due to the Moon and the Sun attraction – are also computed analytically, where the geocentric position vector of the Moon and the Sun are obtained by evaluating known analytical expressions for their motion. The given numerical examples show that the proposed analytical method for computation of position and velocity of GLONASS satellites can be an interesting alternative for presently used numerical methods.</abstract>

The presented algorithms of computation of orbital elements and positions of GLONASS satellites are based on the asymmetric variant of the generalized problem of two fixed centers. The analytical algorithm embraces the disturbing acceleration due to the second J2 and third J3 coefficients, and partially fourth zonal harmonics in the expansion of the Earth’s gravitational potential. Other main disturbing accelerations – due to the Moon and the Sun attraction – are also computed analytically, where the geocentric position vector of the Moon and the Sun are obtained by evaluating known analytical expressions for their motion. The given numerical examples show that the proposed analytical method for computation of position and velocity of GLONASS satellites can be an interesting alternative for presently used numerical methods.

Calculation Of Position And Velocity Of GLONASS Satellite Based On Analytical Theory Of Motion

AGH University of Science and Technology, Department of Geomatics, al. A. Mickiewicza 30, 30-059 Krakow, Poland

Artificial Satellites

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

The presented algorithms of computation of orbital elements and positions of GLONASS satellites are based on the asymmetric variant of the generalized problem...

Calculation Of Position And Velocity Of GLONASS Satellite Based On Analytical Theory Of Motion

Published Online: Sep 23, 2015

Page range: 105 - 114

Received: Jul 08, 2014

Accepted: Jul 03, 2015

DOI: https://doi.org/10.1515/arsa-2015-0008

Keywords
GLONASS, Eulerian orbit, Keplerian orbit, problem of two fixed centers, lunar and solar gravitational perturbations

© Artificial Satellites

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Calculation Of Position And Velocity Of GLONASS Satellite Based On Analytical Theory Of Motion

Published Online: Sep 23, 2015

Page range: 105 - 114

Received: Jul 08, 2014

Accepted: Jul 03, 2015

DOI: https://doi.org/10.1515/arsa-2015-0008

KeywordsGLONASS, Eulerian orbit, Keplerian orbit, problem of two fixed centers, lunar and solar gravitational perturbations

© Artificial Satellites

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
GLONASS, Eulerian orbit, Keplerian orbit, problem of two fixed centers, lunar and solar gravitational perturbations