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- W2000381198 abstract "‘Russian Text Ignored.’ In different problems of celestial mechanics it is often necessary to estimate the effect of the truncated higher harmonics of the gravity potential on the motion of a test particle. As a rule the magnitude of this effect is strictly connected with the gravitational acceleration, i.e. partials of the potential. But the mathematical theory of attraction gives the estimations for the potential itself. However, as far as the general term of development (spherical harmonic) possesses a definite reserve of the smoothness, we have succeeded in passing from potential estimations to its partials estimations. The mathematical method based on a multidimensional generalization (obtained here) of an inequality by BERNSTEIN is used. By the way several inequalities connecting different norms of spherical harmonics are proved." @default.
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- W2000381198 date "1978-01-01" @default.
- W2000381198 modified "2023-09-25" @default.
- W2000381198 title "Die multidimensionale Ungleichung von BERNSTEIN und die Abschätzung der Ableitungen des Gravitationspotentials" @default.
- W2000381198 doi "https://doi.org/10.1002/asna.19782990306" @default.
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