# A case of what distance

1. Nov 6, 2011

### Passionflower

There are several measures of distance for a free falling observer in a Schwarzschild solution.

I think it would be interesting to consider as to what kind of distance measure we have in the following scenario:

For an observer free falling at escape velocity we can calculate by integration the total elapsed proper time between two r values. We can also calculate by integration the average velocity of all velocities wrt to a local static observer between these two values.

Thus we can calculate a distance as in:

Distance = Average velocity * Time

What measure of distance do we get?

Last edited: Nov 6, 2011