Sputnik's period around the earth

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SUMMARY

The discussion focuses on calculating the orbital period of Sputnik I, the first artificial satellite launched in October 1957, which has a mean orbital radius of 6953 km. To compute the period, participants emphasize the use of the centripetal force equation equated to gravitational force. The relevant formula involves rearranging the centripetal force equation to solve for the period (T), specifically using F = 4π²mr²/T². This approach is essential for understanding satellite motion and orbital mechanics.

PREREQUISITES
  • Understanding of centripetal force and gravitational force equations
  • Familiarity with orbital mechanics concepts
  • Basic algebra for rearranging equations
  • Knowledge of the physical constants involved in satellite motion
NEXT STEPS
  • Study the derivation of the formula for orbital period in circular motion
  • Learn about gravitational force and its role in satellite orbits
  • Explore the differences between geostationary and polar orbits
  • Investigate the historical context and significance of Sputnik I's launch
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Students in physics, aerospace engineering enthusiasts, and anyone interested in the principles of satellite motion and orbital mechanics.

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Homework Statement


Sputnik I, the first artificial satellite to circle the planet (October 1957) had a mean orbital radius of 6953 km. Compute its period

Homework Equations



How do I compute the period?

The Attempt at a Solution


I thought that the radii of the sputnik could be compared to that of the moon, and same tih the period.
 
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All satellite/orbit solutions begin with
Centripetal Force = Force of gravity
Then put in the two force formulas. If you are interested in the period use the centripetal force formula that has period instead of velocity - something like F = 4(pi)mr^2/T (I probably have not remembered that exactly right!)

As usual, solve for the quantity you want to find.
 

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