Calculating Energy for Satellite Orbit at 300km | Physics Homework Help

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SUMMARY

This discussion focuses on calculating the energy required to deliver a satellite weighing 3,000 kg into a circular orbit at an altitude of 300 km above Earth's surface. The work done (W) is calculated using the gravitational potential energy formula, yielding a value of 9.81 x 1010 J. Additionally, the discussion addresses the insignificance of the radial component of velocity compared to the tangential component, with the latter being approximately 1,500,000 times greater. The average resistance force acting on the satellite during its flight is also explored, emphasizing the importance of understanding both kinetic and potential energy in orbital mechanics.

PREREQUISITES
  • Understanding of gravitational potential energy and kinetic energy equations
  • Familiarity with Newton's law of universal gravitation
  • Knowledge of orbital mechanics and satellite motion
  • Basic proficiency in unit conversions and dimensional analysis
NEXT STEPS
  • Study the implications of Earth's rotation on satellite launches and energy calculations
  • Learn about the effects of atmospheric drag on satellite orbits
  • Explore the mathematical derivation of centripetal force in circular motion
  • Investigate the relationship between radial and tangential velocities in orbital dynamics
USEFUL FOR

Students studying physics, aerospace engineers, and professionals involved in satellite design and orbital mechanics will benefit from this discussion.

  • #31
Δh = 13,8 km = 13,8 . 103 m
I suppose ...1 month = 30 days = 30*24 h = 30*24*3600 s = 2 592 000 s

vr = s/t = 13,8 . 103 / 2 592 000 = 0,005 m/s
 
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  • #32
That is right.

By the way, in English it is a decimal point, commas are used to group digits in large numbers. Example: 1,234,567.89 (about 1.2 millions)
 
  • #33
Yes, much better. Only one significant figure, but since this is a ballpark approximation and comparison it will suffice. Now you can compare the tangential and radial velocities.
 
  • #34
Uffff :-) Thank you both for your patience - and of course help :-)
 
  • #35
comparison: vt : vr = 7739/0,005 = 1 547 800 / 1...the tangential component of the velocity is about 1 500 000 times greater than the radial component.
 
  • #36
Good. So what is your conclusion for part (b)?
 
  • #37
Right.

One comment on (a): While the kinetic energy on the ground is negligible, rockets don't really care about energies. They care about speed. The rotation of Earth is a significant point in rocket launches.
 
  • #38
yes, I undestand, thank you very much...
 

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