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

Click For Summary
SUMMARY

The discussion centers on the relationship between the speed ratio of two orbiting masses and their respective orbital radii. It establishes that for two masses, M and m, the speed ratio V/v can be expressed as V/v = (sqrt(GM/R))/(sqrt(GM/r)), where G is the gravitational constant. This formula is valid specifically for circular orbits, highlighting the dependency of orbital speed on the radius of the orbit.

PREREQUISITES
  • Understanding of Newton's Law of Universal Gravitation
  • Familiarity with circular motion dynamics
  • Knowledge of gravitational constant (G)
  • Basic algebra for manipulating equations
NEXT STEPS
  • Research the implications of Kepler's Laws of Planetary Motion
  • Study the effects of varying orbital radii on orbital speed
  • Learn about gravitational potential energy in orbital mechanics
  • Explore the differences between circular and elliptical orbits
USEFUL FOR

Astronomy enthusiasts, physics students, and anyone interested in orbital mechanics and gravitational interactions.

Redoctober
Messages
46
Reaction score
1
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 :/ ??
 
Physics news on Phys.org
Nvm what is written . It is true for Circular orbitals only :)
 

Similar threads

Calculate Mass of Satellite: Step-by-Step Guide
  • · Replies 16 ·
Replies
16
Views
3K
Rotating simple harmonic oscillator
  • · Replies 11 ·
Replies
11
Views
2K
Extra speed necessary to orbit at 970 km
  • · Replies 8 ·
Replies
8
Views
2K
Doubling speed in circular orbit to attain elliptical orbit
  • · Replies 3 ·
Replies
3
Views
2K
Finding r of a Jovian-synchronous orbit and escape velocity
  • · Replies 7 ·
Replies
7
Views
2K
A satellite in orbit in a system with one planet and two moons
  • · Replies 1 ·
Replies
1
Views
2K
Two masses on a rotating platform
  • · Replies 3 ·
Replies
3
Views
2K
Velocity required to escape the solar system
  • · Replies 15 ·
Replies
15
Views
2K
Satellite Motion Homework: Find 2nd Satellite Speed
  • · Replies 2 ·
Replies
2
Views
3K
Hinged rod rotating, falling and hitting a mass
  • · Replies 11 ·
Replies
11
Views
3K