A gravity problem i came across.

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Energy cannot be created, only transformed, which is crucial in understanding the dynamics of a space shuttle in orbit. When a shuttle accelerates around a planet, it does gain speed, but this increase in kinetic energy requires an external energy source, typically from burning fuel. The shuttle's speed may appear greater when it exits orbit, but this is due to the energy input rather than a spontaneous creation of energy. The orbiting body experiences changes in velocity, but these changes are not indicative of energy creation. Ultimately, the energy increase is a result of external work, not a violation of energy conservation principles.
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Hello!

Im sure we're all familiar with the fact that energy can't be created, only changed into diffrent states. However, I've been thinking about this scenario i find rather strange:
If a space-shuttle is put in orbit around a planet or object with large gravity, the shuttle will accelerate around it. When the speed is high enough the gravity-field will not be able to keep the shuttle in orbit, and it will be thrown out into space again.

My question is: Have energy been created? Since the shuttle have greater speed after leaving the orbit than when it entered the orbit.

Im sure my problem is somehow invalid, i just want to get this one out of my head.

Thanks!
 
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You say, "when the speed is high enough..." Aren't you implying that fuel is being burnt (and energy transferred into kinetic) in order to achieve the higher speed? Maybe I just don't understand the set-up.
 
I think you have the wrong idea. A body in orbit around another body is accelerating and acceleration is a change in velocity. However velocity is a vector, and it is the angle part of the velocity which is changing not the speed. The speed varies slightly because of the orbit eccentricity but the orbit doesn't change, apart from losing energy to friction etc.
 
robert_jaas said:
Hello!My question is: Have energy been created? Since the shuttle have greater speed after leaving the orbit than when it entered the orbit.

The shuttle will indeed have more energy, but YOU have to give it that energy. As Philip Wood said, probably by burning fuel. It's not just going to happen by itself spontaneously.
 
Ok, thanks for the help!
 
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