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A geometrical interpretation of the Poincaré—Chetayev—Rumyantsev equations

✍ Scribed by S.A. Zegzhda; M.P. Yushkov

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
559 KB
Volume
65
Category
Article
ISSN
0021-8928

No coin nor oath required. For personal study only.

✦ Synopsis

By introducing a tangential space to the manifold of all possible positions of a mechanical system of equations, its motions are written in the form of a single vector equation, which has the form of Newton's second law. From this equation, written for ideal non-linear time-dependent non-holonomic first-order constraints, the Poincark-Chetayev-Rumyantsev equations, as well as other fundamental types of equations of motion, are obtained.

📜 SIMILAR VOLUMES

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