Orbits in a central force field: Bounded orbits
Subhankar Ray
Dept of Physics, Jadavpur University, Calcutta 700 032, India
J. Shamanna
arXiv:physics/0410149v1 [physics.ed-ph] 19 Oct 2004
Physics Department, Visva Bharati University, Santiniketan 731235,
Ejercicios del captulo 1 de
Classical Mechanics de H. Goldstein
Nicolas Quesada M.
Instituto de Fsica, Universidad de Antioquia
Ejercicio 1.6.
Supongamos que en alg
un instante t la partcula tiene coordenadas (x0 , y 0 ) y que la
dy(t)
tangente del angulo
3.5: The Differential Equation for the Orbit, and Integrable
Power-Law Potentials
From Section 3.2, the orbits can be calculated from
d" =
ldr
mr 2
2 (E # V (r) # l 2 )
m
2mr 2
If the variable of integration is changed to u = 1/r,
!
u
" = "0 # $
u0
Fortun
