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A particle $A$ is initially given some velocity and is being attracted by a large object $B$ ($m_A\ll m_B$).
Do there exists an initial velocity so that the particle $A$ describes a circular motion and not collide with the object $B$?
EDIT: Is there any mathematical proof for it?
Ok so as I understand it, cloud chambers function because the electrostatic forces generated by fast energetic charged particles interacting with (or colliding with) the molecules of gas in the chamber along its path strips the gas of electrons, with the resulting ions acting as nucleation sites ...
I've heard it said that, according to Einstein's equations, gravity isn't actually a force but is instead an effect of the curvature of spacetime. In other words, a body in a gravitational field follows its geodesic without the need for a force dragging it along.
Given that work done on a body eq...
