# Escape velocity in vecotrs

hi, i have been looking for a while but stillnot managed to find a vector equation for the Escape Velocity. i know the escape velocity is:

v=sqrt(2GM/r)

i would like a vector form to extend a program i am making for a three body gravitational problem

many thanks

richard

cristo
Staff Emeritus
Would it not just be $$\bold{v}=\frac{\sqrt{2GM}}{r}\hat{r}$$?

D H
Staff Emeritus
The term "escape velocity" is a bit of a misnomer: it really should be called "escape speed" because it truly is a scalar quantity.

thanks, that helps a lot...

..but makes my project harder in finding the right direction for the escape velocity!

Janus
Staff Emeritus