How do orbits and forces affect planetary motion and satellite trajectories?

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SUMMARY

This discussion focuses on the principles of orbits and forces affecting planetary motion and satellite trajectories. Key questions include the comparison of centripetal forces and energies at different points in an elliptical orbit, the estimation of the Moon's gravitational force on individuals, the speed variations of planets in circular versus elliptical orbits, and the mechanics of placing a satellite in geosynchronous orbit. The consensus indicates that centripetal force is greater at the closer point in an orbit, and that satellites must achieve a specific velocity to maintain geosynchronous orbits.

PREREQUISITES
  • Understanding of Newton's Law of Universal Gravitation
  • Familiarity with centripetal force calculations
  • Knowledge of orbital mechanics, specifically elliptical and circular orbits
  • Basic principles of energy conservation in gravitational fields
NEXT STEPS
  • Study the mathematical derivation of centripetal force in elliptical orbits
  • Learn about gravitational force calculations using Newton's Law
  • Research the mechanics of geosynchronous satellites and their required velocities
  • Explore the concept of angular momentum in orbital dynamics
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Astronomy students, physics enthusiasts, aerospace engineers, and anyone interested in understanding the dynamics of planetary motion and satellite operations.

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Please Help! (Orbits and Forces in Space)

Quetions are below on 3rd post.. Thanks for helping!
Help on any or all of the 4 questions at the above link would be greatly appreciated. Thanks soo much! :blushing:
 
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In order to help you we need to see evidence of an attempt to try these problems. Show what you've done so far.
Also, I don't see just 4 questions on that site. I only see the objectives. Are these what you mean?
 
Oh oops sorry, ill just post the questions:
1) Image for this problem: http://cwx.prenhall.com/bookbind/pubbooks/giancoli3/chapter6/medialib/chap6gifs/chap6_wu_1.gif
A planet's orbit around the sun is an ellipse. Consider points A and B on the ellipse. How does the centripetal force exerted on the planet at point A compare to the centripetal force exerted on the planet at point B? How about the potential energies at A and B? Kinetic energies? How about angular momenta? --> My guess is that the centripetal force is greater at point A. I am not sure on the energies. I think there is greater angular momenta at B.
2) Estimate the force that the Moon exerts on you when it is directly overhead.--> My guess is that this number is very small and it is the same process as why we have high and low tides in the ocean.
3) Image for this problem: http://cwx.prenhall.com/bookbind/pubbooks/giancoli3/chapter6/medialib/chap6gifs/chap6_wu_3.gif
Two different planets are orbiting the same sun along two different orbits. The red orbit is circular, the blue orbit is elliptical. Compare the speeds of the planet in the the blue orbit at points A, B, and E. Compare the speeds of the planet in the red orbit at points C, D and E. The planet in the blue orbit is to be shifted to the red orbit as passes point E. Does it have to speed up or slow down?---> My guess is that the points on the inner orbit have a higher speed
4) The space commnunication company is planning to take a spy satellite to a spot 35,800 km above the Earth's surface and release into a geosynchronous orbit. ( In a geosynchronous orbit the satellite will orbit at the same rate as the points on the surface of the Earth below it so as to appear to hover over the same spot.
Is this possible?
If yes, how fast must the satellite be moving when it is released?---> My guess is that this is possible and that the satellite needs to move at a speed high enough to keep it in orbit.
What do you guys think?
 
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