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.
