Comments on the summations of spherical harmonics in the geopotential evaluation theories of Deprit and others |
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| Authors: | Peter J Melvin |
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| Institution: | (1) Boeing Computer Services, 98188 Tukwila, WA, USA |
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| Abstract: | 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. |
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