We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
Spherical harmonic series for derivatives of all orders of the gravitational potential of a planet and their application in satellite geodesy and space navigation.
- Authors
Petrovskaya, M.; Vershkov, A.
- Abstract
Series of spherical harmonics are constructed for derivatives of all orders of the gravitational potential of an arbitrary three-dimensional body, including the Earth, Moon and other planets. These series have a common structure, as simple as the potential itself. They differ from each other and from the series for the potential only by numerical coefficients of the spherical functions, by the degree of a numerical multiplier of the sum of double series, and by the limits of summation. The constructed series can be applied in solving many problems of celestial mechanics, satellite geodesy, and space navigation.
- Subjects
SPHERICAL harmonics; GRAVITATIONAL potential; SATELLITE geodesy; NAVIGATION (Astronautics); PLANETS
- Publication
Cosmic Research, 2012, Vol 50, Issue 2, p152
- ISSN
0010-9525
- Publication type
Article
- DOI
10.1134/S001095251201008X