Convergence of Newton’s iteration for the expansion of the planetary disturbing function. (English) Zbl 0359.70023
MSC:
70F15 | Celestial mechanics |
65D15 | Algorithms for approximation of functions |
42A05 | Trigonometric polynomials, inequalities, extremal problems |
41A30 | Approximation by other special function classes |
References:
[1] | Broucke, R. A.: 1971,Comm. ACM 14, 32?35. · Zbl 0219.68012 · doi:10.1145/362452.362478 |
[2] | Broucke, R. A. and Smith, G.: 1971,Celes. Mech. 4, 490?499. · doi:10.1007/BF01231405 |
[3] | Chapront, J., Bretagnon, P., and Mehl, M.: 1975,Celes. Mech. 11, 379?399. · Zbl 0311.70014 · doi:10.1007/BF01228813 |
[4] | Demidovich, B. P.: 1966,Foundations of the Calculating Mathematics, Nauka, Moscow (in Russian). |
[5] | Escobal, P. R.: 1968,Methods of Astrodynamics, New York. |
[6] | Lautsenieks, L.: 1971,Uchenye zapisky of Latvian State University 148, 6 (in Russian). |
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