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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
Full Text: DOI

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).
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.