Imagine that we have a system that consists of a massive black hole, and the asteroid revolving around it on a stable orbit. What method can determine the distance to these asteroids observer who is still close to the event horizon?(adsbygoogle = window.adsbygoogle || []).push({});

The first thing that came to mind is to determine the signal propagation time to the asteroid and back. This time is equal to:

##\Delta \tau_{observer} = \sqrt{1-\dfrac{r_g}{r_{observer}}}

\int\dfrac{dr}{1-\frac{r_g}{r}}

##

But I do not know ##r_{observer}## and ##r_{asteroid}##

Need a different way.

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# Distances between planet and observer near BH

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