On the history of some explicit formulae for solving Kepler's equation

Publisher: John Wiley & Sons Inc

E-ISSN: 1521-3994|336|3|316-320

ISSN: 0004-6337

Source: ASTRONOMISCHE NACHRICHTEN, Vol.336, Iss.3, 2015-04, pp. : 316-320

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Abstract

AbstractIn this paper we examine, in their historical context, some approximate solutions for Kepler's equation. These explicit formulae, obtained by Trembley, Pacassi, Fergola, and Horrebow, had not a great diffusion and were thus often rediscovered by other astronomers. We will prove that the formulae are equivalent and, moreover, we will give an evaluation of the error. (© 2015 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)