Understanding Negative Energy in Earth-Satellite Systems

In summary, negative energy in Earth-Satellite systems is the potential energy that exists due to the gravitational attraction between the Earth and a satellite in orbit. It plays a vital role in keeping satellites stable and determining their trajectory. However, it cannot be converted into usable energy and is calculated using the equation E = -GMm/r. Negative energy is also used to predict and adjust satellite orbits to ensure their functionality.
  • #1
ASG141
6
0
the potential energy of a earth-satellite system is -U.

the kinetic energy of the satellite is K = -U/2.

the mechanical energy M = -K.


this is not true.

the satellite is in equilibrium and the ∂θ change caused is limits to zero.

the PE of the satellite cannot cause acceleration in magnitude.
 
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  • #2
ASG141 said:
the potential energy of a earth-satellite system is -U.
the kinetic energy of the satellite is K = -U/2.
the mechanical energy M = -K.
this is not true.
The last line is true.
If PE=-U, then KE=+U/2, and E=KE+PE=-U/2.
 

FAQ: Understanding Negative Energy in Earth-Satellite Systems

1. What is negative energy in Earth-Satellite systems?

Negative energy in Earth-Satellite systems refers to the potential energy that is associated with the gravitational attraction between the Earth and a satellite in orbit around it. This energy is considered negative because it represents the work that would need to be done to bring the satellite closer to the Earth, against the force of gravity.

2. How does negative energy affect the motion of satellites?

Negative energy plays a crucial role in determining the trajectory and stability of satellites in orbit. It is responsible for keeping the satellite in a stable orbit around the Earth, as it balances the gravitational pull of the Earth. Without negative energy, the satellite would either crash into the Earth or drift away into space.

3. Can negative energy be converted into usable energy for satellites?

No, negative energy in Earth-Satellite systems cannot be converted into usable energy. It is a form of potential energy and cannot be harnessed to power the satellite's systems. However, it is essential for maintaining the satellite's orbit and ensuring its functionality.

4. How is negative energy calculated in Earth-Satellite systems?

Negative energy is calculated using the equation E = -GMm/r, where G is the gravitational constant, M and m are the masses of the Earth and satellite respectively, and r is the distance between them. This equation takes into account the inverse relationship between distance and gravitational force, resulting in a negative value for energy.

5. How can negative energy be used to predict satellite orbits?

Negative energy is a crucial factor in predicting satellite orbits. By calculating the negative energy at different points along the orbit, scientists can determine the satellite's potential to either escape the Earth's gravitational pull or collide with it. This information is used to plan and adjust satellite trajectories to ensure they remain in a stable orbit.

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