Difficult gravitational potential problem

AI Thread Summary
To calculate the work required to launch a 1kg probe into Earth's orbit around the sun, it is essential to consider whether the satellite is launched from Earth's surface. The work includes overcoming Earth's gravitational pull to reach orbit and achieving escape velocity. Additionally, the thrust needed to position the satellite on the opposite side of the orbit must be factored in. The discussion highlights the complexity of accounting for gravitational influences, particularly from the sun. Understanding these dynamics is crucial for accurate calculations in orbital mechanics.
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I don't even know where to start:
Assume the Earth's oribt about the sun is circular. Calculate the work required to launch a 1kg probe into the Earth's orbit around the sun, but on the opposite side of the orbit.
 
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Is the satellite launched from Earth's surface? Then there would be work getting it to orbit - and then to escape velocity.

I suppose the rest would be how much thrust (and over what distance) is used getting the satellite into opposition from the earth.
 
That approach does not include the gravitational influence of the sun, or am I completely missing the point?
 
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