On the computation of the spherical harmonic terms needed during the numerical integration of the orbital motion of an artificial satellite |
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| Authors: | Leland E Cunningham |
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| Institution: | (1) Lockheed Missiles and Space Company, Sunnyvale, Calif, USA;(2) Astronomy Dept., University of California, Berkeley, Calif., USA |
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| Abstract: | A method is presented for the accurate and efficient computation of the forces and their first derivatives arising from any number of zonal and tesseral terms in the Earth's gravitational potential. The basic formulae are recurrence relations between some solid spherical harmonics,V
n,m, associated with the standard polynomial ones. |
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