Comparing Total Energy of Satellites in Different Orbits: Magnitude vs. Sign?

In summary, the question asks about the total energy of a satellite system, with one satellite closer to the Earth than the other. The equation for total energy is -(GMm/2R), but it is unclear if only the magnitude or the negative sign should be considered. The question also asks about the potential energy of the satellites and if their masses are the same. Additionally, it questions what other factors should be considered besides potential energy.
  • #1
Yatin
20
1

Homework Statement


If two satellites A and B are orbiting the Earth out of which A is closer to the Earth then the total energy of which Earth plus satellite system is lesser?

Homework Equations

The Attempt at a Solution


Should I consider only the magnitude while comparing using the formula total energy= -(GMm/2R) or also take the negative sign into consideration?
 
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  • #2
Which has more potential energy, a rock at sea level or a rock below sea level?
 
  • #3
Are the masses of A and B the same?
 
  • #4
Should you be considering only the potential energy of the satellites? What else is there?
 

Related to Comparing Total Energy of Satellites in Different Orbits: Magnitude vs. Sign?

1. What is the total energy of a satellite?

The total energy of a satellite refers to the sum of its kinetic energy and potential energy. This energy is necessary for the satellite to maintain its orbit around a larger body, such as a planet or moon.

2. How is the total energy of a satellite calculated?

The total energy of a satellite can be calculated using the formula E = KE + PE, where E is the total energy, KE is the kinetic energy, and PE is the potential energy. Kinetic energy is calculated using the formula KE = (1/2)mv^2, where m is the mass of the satellite and v is its velocity. Potential energy is calculated using the formula PE = -GMm/r, where G is the gravitational constant, M is the mass of the larger body, m is the mass of the satellite, and r is the distance between the two bodies.

3. How does the total energy of a satellite affect its orbit?

The total energy of a satellite determines the shape and stability of its orbit. A satellite with a lower total energy will have a more elliptical orbit, while a satellite with a higher total energy will have a more circular orbit. In addition, the total energy must be carefully balanced for the satellite to maintain a stable orbit.

4. Can the total energy of a satellite change?

Yes, the total energy of a satellite can change due to various factors such as gravitational forces from other objects, atmospheric drag, and changes in the satellite's altitude. These changes can result in the satellite's orbit becoming more or less elliptical, or even causing the satellite to escape its orbit entirely.

5. Why is the total energy of a satellite important to understand?

Understanding the total energy of a satellite is crucial for designing and maintaining successful satellite missions. It allows scientists to predict the behavior of satellites and ensure that they have enough energy to remain in orbit. In addition, understanding the total energy can also provide valuable information about the larger body's composition and gravitational pull.

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