Energy necessary to put something in orbit

In summary, the question asks how much energy is needed to put an object at rest relative to the Earth into orbit around the Earth. It is unclear what the initial state of the object is and what variables are needed to express the answer. Further clarification is needed in order to solve the problem.
  • #1
undividable
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0

Homework Statement


Object A is at rest relative to the Earth and we want to put it in orbit around the earth, how much energy is necessary to do so?

Homework Equations



Ki+Ui=Kf+Uf+energy input[/B]

The Attempt at a Solution



what i don't understand is, if the body is at rest, Ki=0, but don't we need a certain inicial velocity to put it in orbit? So shouldn't Ki have a value?[/B]
 
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  • #2
I think that is exactly what the question requires you to answer. That is how much initial kinetic energy is required to put the rocket in orbit around the Earth at a certain distance above the surface of the earth.
 
  • #3
Point 1: If Ki+Ui is the initial total energy of the object while at rest with respect to the Earth and Kf+Uf is the final energy of the object in orbit, Then why would you add energy to the total final energy to get the total initial energy?

Point 2: Just relating initial energy, added energy, and final energy is not enough, you also need to know how to determine what final energy is needed for the orbiting object.
 
  • #4
undividable said:
Object A is at rest relative to the Earth and we want to put it in orbit around the earth, how much energy is necessary to do so?
Is that the whole question? It is very poorly worded.
What does at rest relative to the Earth mean? I could read that as including Earth's rotation, so at the right radius it would be in geostationary orbit already.
It does not say the radius is to be unchanged.
It should provide some variable in terms of which you can express the answer; that could be the height (from Earth's centre), or its GPE, or ...?
 

Related to Energy necessary to put something in orbit

What is the definition of orbital energy?

Orbital energy refers to the amount of energy required to place an object into a specific orbit around another object, such as a planet or moon.

What factors affect the amount of energy needed to put something in orbit?

The two main factors that affect the amount of energy needed to put something in orbit are the mass of the object and the altitude of the desired orbit. Objects with greater mass require more energy, while higher orbits require less energy.

How is orbital energy calculated?

The formula for calculating orbital energy is E = -GmM/2r, where E is the orbital energy, G is the universal gravitational constant, m is the mass of the object being placed in orbit, M is the mass of the larger object it is orbiting, and r is the distance between the two objects.

What is the difference between kinetic and potential energy in orbit?

Kinetic energy in orbit refers to the energy of an object in motion as it orbits around another object. Potential energy in orbit refers to the energy an object has due to its position in the gravitational field of the larger object it is orbiting.

Why is it more difficult to put an object in orbit around Earth compared to other planets?

The Earth's strong gravitational pull and dense atmosphere make it more difficult to put an object into orbit compared to other planets with weaker gravitational pulls and thinner atmospheres. This requires more energy to overcome the Earth's resistance and achieve a stable orbit.

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