Numerical Calculation by Quadruple Precision Higher Order Taylor Series Method of the Pythagorean Problem of Three Bodies

Hiroshi Hirayama ()
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Hiroshi Hirayama: Kanagawa Institute of Technology

Chapter Chapter 14 in Integral Methods in Science and Engineering, 2019, pp 173-183 from Springer

Abstract: Abstract The Pythagorean problem of three bodies (Burrau’s problem) is studied by C. Burrau in 1913. By Szebehely (Proc Natl Acad Sci USA 58(1):60–65, 1967), Yale University in 1967, using Levi-Civita transformation, it was solved by numerical computation. In this paper, it is shown that it’s possible to get a highly precise calculation result with higher order Taylor series method of high precision (the quadruple precision) without a special transformation.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-16077-7_14

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DOI: 10.1007/978-3-030-16077-7_14

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