Does the Speed Ratio of Two Orbiting Masses Depend on Their Orbital Radii?

AI Thread Summary
The speed ratio of two orbiting masses is indeed influenced by their orbital radii, specifically in circular orbits. The formula V/v = (sqrt(GM/R))/(sqrt(GM/r)) accurately represents this relationship, where G is the gravitational constant. This equation shows that the orbital speed is inversely proportional to the square root of the radius. It's important to note that this relationship holds true only for circular orbits. Understanding these dynamics is crucial in orbital mechanics.
Redoctober
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Its not actually a homework . i am just wondering .
If we have 2 masses M and m where m rotates about M on either orbit1 of radius R with speed V or orbit 2 of radius r with seepd v , wouldn't its speed ratio V/v equal the following

V/v = (sqrt(GM/R))/(sqrt(GM/r)) where G is gravitation constant :/ ??
 
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Nvm what is written . It is true for Circular orbitals only :)
 
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