How to predict the collision timer of a line & a circle ?

[danong]

Is there a way to predict an actual collision timer of a line and a circle? (In 2D environment)
For the case when the line is moving both linearly and rotationally while circle is moving linearly.

As i had implemented this using penetration method but it may comes into cases when the velocity is too large enough to miss up the collision.

I've done some research on these and tried to do some calculations but failed to come to the simplest form of retrieving the collision timer.

I am not saying the pentration method is not good, but wish to learn more bout thingy like this,
could i be missing some part of the essential math to get along to solve this problem? Or Numerical Methods?

Hope to get some guides and helps,

Thanks in advance,
God Bless.



Rgrds,
Daniel.

[Dirk Gregorius]

You can use conservative advancement (CA) to find the solution. I am not sure if there exists a closed analytical solution for this problem. Search the forum for CA. You can also look at the PhD of B. Mirtich and the FAST paper. You should find them in Erwin's resource collection.