Calculating Orbital Speed: Jupiter & Earth Orbit Time

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SUMMARY

The discussion focuses on calculating orbital speed and orbital period for Jupiter and its satellites. The necessary equations involve gravitational force and centripetal force, with specific values provided for Jupiter's mass (1.90 x 1027 kg) and radius (7.18 x 107 m). The average radius of Jupiter's orbit is given as 7.78 x 1011 m, and the gravitational constant (Cs) is specified as 3.355 x 1018 m3/s2. Participants seek clarification on these concepts to solve the problems presented.

PREREQUISITES
  • Understanding of gravitational force and centripetal force concepts
  • Familiarity with orbital mechanics and related equations
  • Knowledge of the gravitational constant (Cs) in the context of planetary motion
  • Basic proficiency in unit conversions (e.g., kilometers to meters)
NEXT STEPS
  • Study the equations for gravitational force and centripetal force in orbital mechanics
  • Learn how to calculate orbital speed using the formula v = √(GM/r)
  • Research how to determine orbital periods using Kepler's laws of planetary motion
  • Explore the implications of gravitational constants in different celestial contexts
USEFUL FOR

Astronomy students, physics enthusiasts, and anyone interested in understanding orbital mechanics and calculations related to planetary motion.

ubiquitous
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ok just a couple orbital questions I forget the equation that needs to be used and do not have my textbook with me so if anyone knows the equation for finding orbital speed that would be great!

1. calculate the speed of a satellite in orbit 9.5 x10^3 km above jupiter.
radius of Jupiter = 7.18 x 10^7 m
Mass of Jupiter = 1.90 x 10^27 kg

2. The average radius of orbit for Jupiter is 7.78 x 10^11m. usuing Cs = 3.355 x 10^18 m^3/s^2, calculate the number of Earth years it will take for Jupiter to complete one orbit.

So what does it mean by Cs and how do you find the time for one orbit? I have trouble getting the problems started if I'm given a hint i can usually find the answers on my own so anything will help.
 
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ubiquitous said:
ok just a couple orbital questions I forget the equation that needs to be used and do not have my textbook with me so if anyone knows the equation for finding orbital speed that would be great!

1. calculate the speed of a satellite in orbit 9.5 x10^3 km above jupiter.
radius of Jupiter = 7.18 x 10^7 m
Mass of Jupiter = 1.90 x 10^27 kg

2. The average radius of orbit for Jupiter is 7.78 x 10^11m. usuing Cs = 3.355 x 10^18 m^3/s^2, calculate the number of Earth years it will take for Jupiter to complete one orbit.

So what does it mean by Cs and how do you find the time for one orbit? I have trouble getting the problems started if I'm given a hint i can usually find the answers on my own so anything will help.

Welcome to PF.

You can always figure out what you want.

You know the Gravitational Force.

And it will balance with the centripetal force won't it?
 

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