How to find the speed of a planet around the sun

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SUMMARY

The discussion focuses on calculating the orbital speed of Jupiter around the Sun using gravitational and centripetal force equations. The relevant formulas include the gravitational force equation fg=(Gm1m2)/d² and the centripetal force equation fc=(4π²mr)/T². The user initially calculated fg as 4.17 x10²⁹ but received feedback regarding unit consistency and the need for clarification on the centripetal force's role in orbital motion. The discussion emphasizes the importance of using correct units for gravitational constant G and distance d.

PREREQUISITES
  • Understanding of gravitational force and centripetal force equations
  • Familiarity with the gravitational constant G
  • Knowledge of orbital mechanics and circular motion
  • Basic algebra for manipulating equations
NEXT STEPS
  • Study the gravitational constant G and its units in detail
  • Learn how to derive orbital speed from gravitational and centripetal force equations
  • Explore the concept of centripetal acceleration in circular motion
  • Investigate the implications of unit consistency in physics calculations
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and orbital dynamics, as well as educators seeking to clarify concepts related to gravitational forces and planetary motion.

Matthew_Maz
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Homework Statement


THe sun has a mass of 1.99x10*30 kg. Jupiter has a mass of 1.90x10*27 kg and a mean radius of orbit around the sun of 7.78x10*8 km what is the speed that Jupiter travels in its orbit around the sun?

Homework Equations


fg=(Gm1m2)/d*2
fc=(4pie*2mr)/T*2

The Attempt at a Solution


I am not really sure how to go about solving this.. i was thinking to solve for the fg equation above, you get fg=4.17 x10*29, I am not sure if i am on the right track and some guidance would be useful. thanks[/B]
 
Physics news on Phys.org
Assuming that Jupiter's orbit is taken to be circular, what supplies the centripetal force?
What formula involving velocity do you know for centripetal force?

By the way, make sure that your units agree when you make a calculation; Your value for fg looks to be a bit high. What are the units of G? What units did you use for d?
 

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