We revisit the question concerning the accuracy of the inverse-square gravitational law, as raised in section IX, book I of Newton’s Principia, and in some sections of book III. We argue that the problem has been thoroughly discussed and basically solved by Newton himself. We point out in particular the relations with the well-known Bertrand’s theorem. Bertrand approached the same problem in moreabstract terms. We remark, however, that much of Bertrand’s proof is essentially contained in Principia.

La legge gravitazionale dell'Universo del quadrato nei principi di Newton / A. Giorgilli, N. Guicciardini. - In: RENDICONTI. CLASSE DI SCIENZE MATEMATICHE E NATURALI. - ISSN 2384-986X. - 155:(2021), pp. 1-27. [10.4081/scienze.2021.768]

La legge gravitazionale dell'Universo del quadrato nei principi di Newton

A. Giorgilli;N. Guicciardini
2021

Abstract

We revisit the question concerning the accuracy of the inverse-square gravitational law, as raised in section IX, book I of Newton’s Principia, and in some sections of book III. We argue that the problem has been thoroughly discussed and basically solved by Newton himself. We point out in particular the relations with the well-known Bertrand’s theorem. Bertrand approached the same problem in moreabstract terms. We remark, however, that much of Bertrand’s proof is essentially contained in Principia.
Isaac Newton; Joseph Bertrand; precession; celestial mechanics
Settore M-STO/05 - Storia della Scienza e delle Tecniche
Dipartimenti di Eccellenza 2018-2022 - Dipartimento di FILOSOFIA
http://www.ilasl.org/index.php/Scienze/article/view/768
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/879968
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