How Long Does Moon E Take to Orbit Planet?

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Homework Help Overview

The problem involves two moons orbiting a planet in circular orbits, with a focus on determining the orbital period of moon E based on the known period of moon D and their respective orbital radii.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the relationship between the orbital periods of the moons and their distances from the planet, referencing Kepler's laws. There is uncertainty about whether the period of moon E can be directly inferred from that of moon D.

Discussion Status

Some participants have suggested reconsidering the application of Kepler's laws, particularly the third law, while others express confusion about the implications of orbital radius on the period. There is no consensus yet on the correct approach to the problem.

Contextual Notes

Participants note the absence of specific equations in the original post and question the assumptions made regarding the relationship between the orbital periods and radii of the moons.

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Homework Statement



Two moons orbit a planet in nearly circular orbits. Moon D has orbital radius r, and moon E has orbital radius 4r. Moon D takes 20 days to complete one orbit. How long does it take for moon E to complete one orbit


Homework Equations



None - I think


The Attempt at a Solution



I am hoping that this problem is not complicated. Since it takes 20 days for moon D with radius r, it would take 80 days for moon E with radius 4r?

Is my reasoning correct ??
 
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No, it isn't. What do Kepler's laws have to say about this problem?
 
Is it just 20 days the same as moon D?

A line drawn from the sun to any planet sweeps out equal areas in equal time intervals.

Does the size - radius matter then?
 
Ok the above doesn't make sense.

Then I don't know, really.
 
It's not just 20 days.

Keplers second law is only valid for the same planet or moon (and it's trivial for a circular orbit)
Try the third law.
 

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