Physics: Circular motion and the orbital speeds of satellites

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SUMMARY

The discussion focuses on the orbital speeds of two satellites, where Satellite 1 has mass m1 and radius R1, while Satellite 2 has mass m2 and radius 2R1. The relevant equation used is V = √(GM/R), which determines the orbital speed based on gravitational constant G, mass M, and radius R. The conclusion confirms that the user applied the correct equations and reached the right answer, emphasizing that there is no simpler method for calculating the speed ratio numerically.

PREREQUISITES
  • Understanding of gravitational physics
  • Familiarity with the equation V = √(GM/R)
  • Knowledge of satellite dynamics
  • Basic algebra skills for manipulating equations
NEXT STEPS
  • Study the implications of varying mass and radius on satellite speed
  • Explore gravitational forces in multi-satellite systems
  • Learn about Kepler's laws of planetary motion
  • Investigate the effects of altitude on satellite orbital speed
USEFUL FOR

Students studying physics, particularly those focusing on orbital mechanics, as well as educators and anyone interested in the dynamics of satellite motion.

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   Reactions: 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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