An artificial satellite is orbiting the earth at altitude 500km . A bomb is released from the satellite . this bomb will

It will orbit the earth along with the satellite.

..... stay in orbit beside the satellite. When you let it go it is moving at the same speed as the bomber and therefore stays with it.

If it is in orbit the gravitational force on it

G M m/r^2
is exactly equal to the mass times the centripetal acceleration
m v^2/r
so there is no net remaining force to change r

Unfortunately, I'm unable to complete your question as it appears to be incomplete. Could you please provide more information or clarify your question?