Talk:Appell's equation of motion

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Name[edit]

Is this the system generally known as the Gibbs-Appell equations? Which nomenclature is better known? I have previously only heard of "The Gibbs-Appell Equations" but I was educated in England, and perhaps Gibbs gets left off in non-English-speaking countries. 130.225.25.207 (talk) 12:58, 7 December 2009 (UTC)[reply]

Agreed: modified. Quoting Pars (Cambridge mathematician, see article for citation)

The equations were discovered by Willard Gibbs in 1879. Gibbs established the equations for a holonomic system, but seems to have realized that they are valid for non-holonomic systems. The importance and generality of the method was not appreciated at the time and the discovery seems to have aroused little interest. In 1896 Appell published the first edition of his Mecanique Rationelle. This edition contains a serious error...After the appearance of the first edition Appell discovered the mistake and he then set about the task of finding a form of the equations of motion that should be applicable immediately to holonomic and non-holonomic systems alike. The Gibbs-Appell eqautions were published in Comptes Rendus for 1899.

Note that Appell's second paper cites Gibbs.Tkirkman (talk) 18:50, 6 March 2017 (UTC)[reply]

Examples[edit]

More examples showing how to solve problems using the Gibbs-Appell equation is appreciated. Nerd271 (talk) 20:59, 24 June 2020 (UTC)[reply]