<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The main purposes of this research are to obtain Lagrange function for the relativistic rotation of the rigid body, which is generated by metric properties of Riemann space of general relativity and to derive the differential equations, determining the rigid body rotation in the terms of the Rodrigues - Hamilton parameters. The Lagrange function for the relativistic rotation of the rigid body is derived from the Lagrange function of the nonrotation point of masses system in the relativistic approximation.</p></abstract>

The main purposes of this research are to obtain Lagrange function for the relativistic rotation of the rigid body, which is generated by metric properties of Riemann space of general relativity and to derive the differential equations, determining the rigid body rotation in the terms of the Rodrigues - Hamilton parameters. The Lagrange function for the relativistic rotation of the rigid body is derived from the Lagrange function of the nonrotation point of masses system in the relativistic approximation.

Relativistic Rotation of the Rigid Body in the Rodrigues – Hamilton Parameters: Lagrange Function and Equations of Motion

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The main purposes of this research are to obtain Lagrange function for the relativistic rotation of the rigid body, which is generated by metric properties of...

Relativistic Rotation of the Rigid Body in the Rodrigues – Hamilton Parameters: Lagrange Function and Equations of Motion

Published Online: Sep 25, 2018

Page range: 89 - 115

Received: Jan 02, 2018

Accepted: Sep 03, 2018

DOI: https://doi.org/10.2478/arsa-2018-0008

Keywords
the rigid body rotation, Rodrigues - Hamilton parameters, Lagrange function, the relativistic approximation

© 2018 V.V. Pashkevich, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Relativistic Rotation of the Rigid Body in the Rodrigues – Hamilton Parameters: Lagrange Function and Equations of Motion

Published Online: Sep 25, 2018

Page range: 89 - 115

Received: Jan 02, 2018

Accepted: Sep 03, 2018

DOI: https://doi.org/10.2478/arsa-2018-0008

Keywordsthe rigid body rotation, Rodrigues - Hamilton parameters, Lagrange function, the relativistic approximation

© 2018 V.V. Pashkevich, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
the rigid body rotation, Rodrigues - Hamilton parameters, Lagrange function, the relativistic approximation