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## Homework Statement

A spy satellite of mass m is in a circular orbit with radius R and velocity v around

the earth. One of the satellites thrusters suddenly fires giving it an additional

velocity v in the outward radial direction (same v). What is the new total energy

of the satellite? What is the new orbit of the satellite?

## Homework Equations

mv^2/r

GMm/r^2

-K=.5U

2K+U=0

## The Attempt at a Solution

I honestly don't really have an idea how to even set up the problem. From what I understand mv^2=GMm/r^2 for circular orbit which should I could then use to find the energy, but I don't know how the velocity increasing radially will affect this. Any helpful nudge in the right direction would be greatly appreciated.