Vol.2, No 10, 2000 pp. 1049-1054
UDC 521.1 (045)
A VARIATIONAL APPROACH
TO THE PROBLEM OF TWO BODIES
Ji-Huan HE
Shanghai University, Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, China
E-mail: glliu@yc.shu.edu.cn
Abstract. In this paper, we assume that the motion of celestial bodies is subject to the Maupertuis-Lagrange's principle of least kinetic potential action under some geometrical constraints. By the Lagrange multiplier, more general Newton's gravitational equations can be readily obtained. For the problem of two bodies, the results are same as those obtained by Veljko A. Vujicic.

VARIJACIONI PRISTUP PROBLEMU DVA TELA
U ovom radu pretpostavljamo da je kretanje nebeskih tela izloženo Maupertis-Lagrange-ovom principu minimalne kinetičke potencijalne akcije pri nekim geometrijskim ograničenjima. Pomoću Lagrange-ovog množioca lako se mogu dobiti opštije Newton-ove gravitacione jednačine. Za problem dva tela, rezultati su isti kao oni dobijeni kod Veljka Vujučića.