What is the orbital velocity of the 2nd satellite?

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SUMMARY

The orbital velocity of the second satellite, positioned at a radius of 8,600,000 meters from the planet, is calculated to be 21,758 meters per second. This conclusion is derived from the relationship between the velocities and radii of two satellites, utilizing the formula v2 = v1 * sqrt(r2/r1). Given that the first satellite has an orbital velocity of 17,000 meters per second and is located at a radius of 5,250,000 meters, the calculations confirm the derived speed for the second satellite.

PREREQUISITES
  • Understanding of centripetal force and gravitational force relationships
  • Familiarity with the formula Fc = mv²/r
  • Knowledge of orbital mechanics and satellite motion
  • Ability to manipulate algebraic equations and ratios
NEXT STEPS
  • Study the derivation of orbital velocity formulas in satellite dynamics
  • Learn about gravitational force and its effect on satellite motion
  • Explore the concept of centripetal force in circular motion
  • Investigate the differences in orbital speeds for satellites at varying altitudes
USEFUL FOR

Students in physics or engineering, particularly those studying orbital mechanics, satellite technology, or gravitational forces.

sandersky
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Homework Statement


PROBLEM
What is orbital speed of 2nd satellite?
VARIABLES
  • velocity of satellite 1 is 17000 meters/second
  • radius of satellite 1 to center of planet is 5250000 meters
  • radius of satellite 2 to planet is 8600000 m

Homework Equations


Fc = mv2/r


The Attempt at a Solution


? not a clue
 
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sandersky said:

Homework Equations


Fc = mv2/r
This is one of the equations you need. What force provides the centripetal force? (That will be the second relationship you'll need.)

Hint: Set up a ratio of v2 to v1
 
try equating gravity and centripetal force then you should be able to rearange the formula to find v?

perhaps this is right if its not i also need help on this question :confused:

Alex
 
I figure it out.
 
sandersky said:
I figure it out.

You've got me wondering...
What is the orbital speed of the second satellite?
How did you find it?
 
satellite

orbital velocity,v= sqrt[gr]

v1=17000 m/s
v2=?
r1=5250000 m
r2=8600000 m

so, v2/v1=sqrt[r2 /r1]
v2=v1 * sqrt[r2/r1]

answer:21,758 m/s
 

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