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

AI Thread Summary
When comparing the total energy of satellites A and B, the closer satellite A has a more negative total energy, indicating it is more bound to the Earth. The total energy formula, E = -(GMm/2R), suggests that both magnitude and sign are important for understanding energy states. Potential energy is crucial, but kinetic energy must also be considered for a complete analysis. The discussion raises questions about the mass of the satellites and the comparison of potential energy at different elevations. Ultimately, both the magnitude and the sign of total energy are essential for accurately comparing the energy of satellites in different orbits.
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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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