Features of mappings leading to a central field | Zendy

М. А. Гузев | Zendy

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Features of mappings leading to a central field

Author(s) -

М. А. Гузев

Publication year - 2020

Publication title -

dal nevostochnyi matematicheskii zhurnal

Language(s) - English

Resource type - Journals

ISSN - 1608-845X

DOI - 10.47910/femj202006

Subject(s) - jacobian matrix and determinant , motion (physics) , field (mathematics) , coordinate system , mathematics , potential field , classical mechanics , control theory (sociology) , computer science , pure mathematics , physics , artificial intelligence , geometry , geophysics , control (management)

For a mechanical system with two degrees of freedom, it is shown that the condition of zeroing the Jacobian map depended on the interaction potential selects a central field that ensures this condition fulfillment. It has been hypothesized that, in the general case, the features of coordinate mappings lead to potentials that admit the existence of an motion integral additional to the energy.

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