Relativistic rotation of the rigid body in the Rodrigues-Hamilton parameters: Lagrange function and equations of motion

• Autorzy: Pashkevich V. V. , Eroshkin G. I.

Identyfikatory

DOI

10.2478/arsa-2018-0008

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

rigid body rotation; Rodrigues-Hamilton parameters; Lagrange function; relativistic approximation

• Wydawca: Centrum Badań Kosmicznych PAN ; De Gruyter
• Czasopismo: Artificial Satellites : Journal of Planetary Geodesy
• Rocznik: 2018
• Tom: Vol. 53, No. 3
• Strony: 89--115
• Opis fizyczny: Bibliogr. 5 poz., rys.

Twórcy

autor

Pashkevich V. V.

• Central (Pulkovo) Astronomical Observatory of RAS Pulkovskoe shosse, 65/1, 196140, St. Petersburg, Russia

autor

Eroshkin G. I.

• Central (Pulkovo) Astronomical Observatory of RAS Pulkovskoe shosse, 65/1, 196140, St. Petersburg, Russia

Bibliografia

• Suslov G.K. (1946): Theoretical mechanics. OGIZ, Moscow, (in Russian).
• MacMillan W.D. (1936): Dynamics of rigid bodies, New Yotk and London.
• Landau L.D. and Lifshitz E.M. (1967): The Classical Theory of Fields, Moscow: "Nauka". (in Russian).
• Eroshkin G.I., Pashkevich V.V. (1997): Numerical simulation of the rotation motion of the Earth and Moon, Dynamics and Astrometry of Natural and Artificial Celestial Bodies, Proceedings of IAU Colloquium 165 (I.M. Wytrzyszczak, J.H. Lieske, R.A. Feldman eds.), Kluwer, Dordrecht, pp. 275-281.
• Pashkevich V.V. (2000): Construction of the High-Precision Numerical Theory of the Rigid Earth Rotation, Artificial Satellites, Journal of Planetary Geodesy, Vol. 35, No 2, pp. 59-71.

Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).