Physics: Circular motion and the orbital speeds of satellites

AI Thread Summary
The discussion centers on determining which satellite, with different masses and radii, has a greater orbital speed. The relevant equation for calculating orbital speed is V = √(GM/R). Participants confirm that the original poster is using the correct equations and has arrived at the right answer. They emphasize that there is no simpler method available for obtaining a numerical ratio of the speeds. The conversation concludes with reassurance about the correctness of the approach taken.
YMMMA
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Homework Statement


Satellite 1 has mass m1 & radius R1 and satellite 2 has mass m2 and radius 2R1
Which satellite’s speed is greater?

Question and my attempt are shown in the attached file.

Homework Equations


V= √GM/R

The Attempt at a Solution


I am not sure if my steps are correct, but if there’s an easier solution, I need to know it.
 

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You are using the correct equations and you have the right answer. There is no easier solution if you are seeking a numerical answer for the ratio.
 
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Likes berkeman, YMMMA and Janosh89
kuruman said:
You are using the correct equations and you have the right answer. There is no easier solution if you are seeking a numerical answer for the ratio.
Okay, then.
 

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