On the history of some explicit formulae for solving Kepler's equation
Abstract
In 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.
- Publication:
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Astronomische Nachrichten
- Pub Date:
- April 2015
- DOI:
- 10.1002/asna.201412156
- Bibcode:
- 2015AN....336..316B
- Keywords:
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- history and philosophy of astronomy