Comments on the summations of spherical harmonics in the geopotential evaluation theories of Deprit and others
| Autor: | Peter J. Melvin |
|---|---|
| Rok vydání: | 1985 |
| Předmět: |
Geopotential
Floating point Applied Mathematics Spherical harmonics Astronomy and Astrophysics Harmonic analysis Computational Mathematics Classical mechanics Space and Planetary Science Modeling and Simulation ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION Physics::Space Physics Automotive Engineering Geopotential model Applied mathematics Physical geodesy Legendre polynomials Mathematical Physics Inertial navigation system Mathematics |
| Zdroj: | Celestial Mechanics. 35:345-355 |
| ISSN: | 1572-9478 0008-8714 |
| DOI: | 10.1007/bf01227831 |
| Popis: | Deprit's approach to the summation of the Legendre series in the geopotential evaluation problem is modified to accomodate normalized spherical harmonics and coefficients. Normalization avoids the floating point overflow encountered with high order geopotential models when the computer floating point arithmetic does not provide for large enough exponent. Deprit's algorithm is then appropriate for trajectory generation on-board an autonomous satellite system or for gravity compensation in an inertial navigation system. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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