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ArnSpin

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**[SOLVED] Distance between 2 orbits of a black hole**

## Homework Statement

Hello.

I am currently working on the black holes in the Schwarzschild metric, an exercise course asks me to calculate the physical distance between different orbits.

[tex]d_{1}[/tex] = distance betwenn 2M and 3M

[tex]d_{2}[/tex] = distance betwenn 3M and 4M

[tex]d_{3}[/tex] = distance betwenn 4M and 6M

Where (x)M are the black hole orbit's.

How to calculate this physical distance ?

I know that the distance between 0 and 2M is 3km M/Msun but, I think that this distance isn't really physical because it's expressed as a function of considered mass object normalized by the mass of sun.

I thought integrate the Schwarzschild metric on the spatial term, but isn't trivial...

Exercise may be simple, I do not know, but I do not know the answer, so I thank you in advance for your possible assistance.

Sincerely

ArnSpin

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