Physics
Scientific paper
Aug 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975stin...7531978g&link_type=abstract
Unknown
Physics
Geopotential, Gravitational Fields, Recursive Functions, Solar Activity, Euler-Lagrange Equation, Legendre Functions, Numerical Integration, Spherical Harmonics
Scientific paper
The disturbing functions due to the geopotential and Luni-solar attractions are linear and bilinear forms in spherical harmonics. Making use of recurrence relations for the solid spherical harmonics and their derivatives, recurrence formulas are obtained for high degree terms as function of lower degree for any term of those disturbing functions and their derivative with respect to any element. The equations obtained are effective when a numerical integration of the equations of motion is appropriate. In analytical theories, they provide a fast way of obtaining high degree terms starting from initial very simple functions.
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