Spherical harmonic series for derivatives of all orders of the gravitational potential of a planet and their application in satellite geodesy and space navigation

Author:

Petrovskaya M. S.,Vershkov A. N.

Publisher

Pleiades Publishing Ltd

Subject

Space and Planetary Science,Astronomy and Astrophysics,Aerospace Engineering

Reference14 articles.

1. Kaula, W.M., Theory of Satellite Geodesy, Waltham, MA: Blaisdell, 1966. Translated under the title Sputnikovaya geodeziya: teoreticheskiye osnovy, Moscow: Mir, 1970.

2. Reed, G.B., Application of Kinematical Geodesy for Determining the Short Wave Length Components of the Gravity Field by Satellite Gradiometry, Ohio State University, Dept. of Geod. Sciences, Rep. no. 201. Columbus, Ohio, 1973.

3. Belikov, M.V., Fully Numerical Experiment to Reveal Efficiency of Gradiometry, Preprint of S.-Petersburg Inst. of Theor. Astronomy, Ruus. Acad. Sci., St.-Petersburg, 1996, no. 52.

4. Koop, R. and Stelpstra, D., On the Computation of the Gravitational Potential and Its First and Second Order Derivatives, Manuscripta Geodaetica, 1989, vol. 14, p. 373.

5. Balmino, G., Barriot, J-P., Koop, R., et al., Simulation of Gravity Gradients: A Comparison Study, Bulletin Geodesique, 1991, vol. 5, no. 4, pp. 218–229.

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