- #1
JohanL
- 158
- 0
Light rays in the schwarzschild metric satisfy the differential equation
[tex]
\frac {d^2u} {d\phi^2}+u=3Mu^2
[/tex]
u=1/r
I want to show that there is closed orbits with constant radius and also calculate the radius of the orbits as a function of the Schwarzschild radius.
Can anyone help me with this? Or give me some hits?
As simple as possible please.
[tex]
\frac {d^2u} {d\phi^2}+u=3Mu^2
[/tex]
u=1/r
I want to show that there is closed orbits with constant radius and also calculate the radius of the orbits as a function of the Schwarzschild radius.
Can anyone help me with this? Or give me some hits?
As simple as possible please.