Re: Fun problem

First of all - APLAUSE!!! Well made.

Here are some comments.

Given just the relationship between
the initial velocity and the impact
parameter (and, likely, the direction
of approach) what can we say about
the geometry of the hole?

Lets see. Given the motion of the matter around a black hole, what can
we say about it's geometry? Well, its bright, hot, turning gas into
stars, it has magnetic field, it goes around...

For instance, if we add friction or non-elastic collisions, then as
long as the particle falls into the hole it will never get out. It will
loose kinetic energy and thus well never be able to jump out. If make
the particle in to a ball or spherical shell of finite size, then my
suspicion is that it will also never escape, unless circumstances
conspire to convert all rotational kinetic energy into translational
vertical motion.

But then again! Bilyard doesn't exist without ALL these properties. As
a matter of fact ball spins all the time. Matter around a black hole
wouldn't be hot, bright and exciting. I estimate that from criticality
come sources of interesting things. It is away from the topic maybe,
but I think that's kind of intruige I like.

.

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