De motu perturbationibusque planetarum secundum legem electrodynamicam Weberianam solem ambientium

Description

Seegers solves Weber's 2-body problem using Jacobi's elliptic functions. cf. this paper on solving the Weber 2-body problem using perturbation methods (courtesy Assis): * [Tisserand, François Félix](https://isidore.co/misc/Physics%20papers%20and%20books/Biography/Tisserand__Fran%C3%A7ois_F%C3%A9lix.PDF). “[ **Sur le mouvement des planètes autour du Soleil, d’après la loi électrodynamique de Weber**](https://isidore.co/misc/Physics%20papers%20and%20books/Zotero/storage/EF4QS54N/Sur%20le%20mouvement%20des%20planetes.pdf).” Edited by [Joseph Louis François Betrand](https://isidore.co/misc/Physics%20papers%20and%20books/Biography/Bertrand__Joseph_Louis_Fran%C3%A7ois.PDF). [*Bulletin astronomique* 7](http://gallica.bnf.fr/ark:/12148/bpt6k6538212m) (1890).Duhem also has a § of [Bertrand](https://isidore.co/calibre/browse/book/6095)'s derivation (cf. p. 166) of Ampère's law in Duhem's [*Leçons* vol. 3](https://isidore.co/calibre/browse/book/3407) pp. 309-332 (DjVu pp. 322-345). Re: Tisserand and Bertrand, cf. Jaki's *[Uneasy Genius](https://isidore.co/calibre/browse/book/4316)* p. 152, which quotes Duhem (my emphases):> Twice I was solicited by various persons to present my candidacy, namely, when the death of **Tisserand** and then the death of J. **Bertrand** led respectively to a vacancy of the chair of **physical mechanics** at the Sorbonne and of the chair of **mathematical physics** at the Collège de France. Thus, Tisserand and Bertrand seemed to be quite the experts re: mathematical physics at the time. For a good overview of Weber's law applied to gravity, incl. Seegers's thesis, see Tisserand's *Traité de mécanique céleste* vol. 4, "Vitesse de propagation de l'attraction," ch. XXVIII (pp. 494-511 // PDF pp. 510-527). [Subsection 225](https://archive.org/stream/traitdemcanique03tissgoog#page/n505/mode/2up) is entitled " *Loi d'attraction conforme à la loi électrodynamique de Weber* ". He mentions Seegers, discusses how to integrate Weber's force law, and discusses Riemann's and Clausius's laws. Also cites Jacobi's *[Vorlesungen über Dynamik](https://isidore.co/calibre/#panel=book_details&book_id=7352)*.