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

Artificial Satellites: A journal of Planetary geodesy

V.V. Pashkevich^1¹ 

[1] Central (Pulkovo) Astronomical Observatory of RAS Pulkovskoe shosse,, St. Petersburg, Russia^1

关键词: the rigid body rotation;    Rodrigues - Hamilton parameters;    Lagrange function;    the relativistic approximation;   

DOI  :  10.2478/arsa-2018-0008

学科分类：地球科学(综合)

来源: Polska Akademia Nauk * Centrum Badan Kosmicznych / Polish Academy of Sciences, Space Research Center

【 摘 要 】

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.

【 授权许可】

Unknown