Two spherical bodies of different radii and different masses are separated by a certain distance in free space.
If they attract each other only due to gravitational force only, will they meet at their center of mass ?
Why or why not?
What would be the relevant equations to find their final meeting position (along the line joining their centers) ?
Intuitively it feels that they should meet at their center of mass, however I am not able to mathematically verify it.