Abstract
AbstractThe fast development of modern spatial gravimetric technology makes it possible and more necessary to establish the ultra‐high‐degree global potential model. The numerical characters of the ultra‐high‐degree fully normalized associated Legendre functions (ALFs) and their 1st, 2nd derivatives of the disturbing potential spherical harmonic expansions have been studied from the standard forward column recursions. Then, the abovementioned standard forward column methods are modified to avoid overflow. Finally, some practical algorithms for evaluating the ultra‐high‐degree disturbing potential elements by personal computer are presented.
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