Vol.2, No 7/2, 1997 pp. 401 - 408
UDC: 531; 521.1
ON THE HOMOGENEOUS FORMALISM IN CELESTIAL
MECHANICS
V. Vujičić*, Z. Drašković**
*Mathematical Institute, P.O. Box 368, 11001 Belgrade, Yugoslavia
**Military Technical Institute, Kataniceva 15, 11000 Belgrade, Yugoslavia
Abstract. Correctness
of the theory of "homogeneous formalism" in celestial mechanics is considered.
It is shown that the equations (0.1a) do not include, in the classical
mechanics, the "canonical forces" Q?. Then the relation p0 = -H is
abandoned and, instead of it, the existence of the momentum
is established. Consequently, instead of the differential equations (0.1a)
and (0.1b), appear the differential equations of motion (3.7a) and (3.7b).
Keywords: celestial mechanics, homogeneous formalism, "rheonomic
coordinate" concept
O HOMOGENOM FORMALIZMU U NEBESKOJ MEHANICI
Komentariše se valjanost teorije "homogenog formalizma" u nebeskoj mehanici.
Pokazuje se da u klasičnoj mehanici jednačine (0.1a) ne sadrže "kanonske
sile" Q?. Zatim se napušta relacija p0 = -H i umesto nje pokazuje se da
postoji impuls . Stoga umesto diferencijalnih jednačina (0.1a) i
(0.1b) egzistiraju diferencijalne jednačine kretanja (3.7a) i (3.7b).
Ključne reči. nebeska mehanika, homogeni formalizam, koncept
"reonommne koordinate".
