Probability of moving object to leave a circular system in relation to starting position and direction.

Question

Lets say that there is a spaceship traveling with constant speed V for a specific duration T. The spaceship is inside a 'round' solar system with a radious R.

VT<R.

The spaceship can start moving anywhere inside the solar system, and move in whatever direction (uniform distribution). What is the average probability that it gets out of the solar system? This should be expressed in relation to R,V,T.

How can we solve this problem?

 

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