Geosychoronous Satellites and their KE/Orbitals

Thread starter AryRezvani
Start date Nov 8, 2012
Tags

Satellites

AI Thread Summary

The discussion revolves around proving that the product of the kinetic energy and orbital radius of a geosynchronous satellite remains constant. The kinetic energy formula provided is KE = ½mGM/R, which relates the satellite's mass, gravitational constant, and orbital radius. Participants express confusion about how to approach the proof and the requirements for a geosynchronous orbit, which must be circular and synchronized with the Earth's rotation. Clarification on the relationship between kinetic energy and orbital radius is sought. Understanding these concepts is essential for solving the homework problem effectively.

Nov 8, 2012

AryRezvani

Homework Statement

Prove that the product of the kinetic energy and orbital radius of a geosynchronous satellite is constant.

Homework Equations

Not sure on the orbital radius part

KE=KE = ½mGM/R

The Attempt at a Solution

I'm lost on where to begin. How exactly would I 'prove' it?

Physics news on Phys.org

Nov 8, 2012

AryRezvani

Bump!

Nov 8, 2012

gneill

Mentor

What shape must an orbit have if it is geosynchronous?

Thread 'Rolling without slipping on a curved surface'

Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .

View full post »

Thread 'I've come across another fluid pressure problem I don't understand'

Neglect gravity other than that of water; neglect friction. F1=ρgsh=1000*10*1*(1+4)=50000 N; F1=ρgsh=1000*10*0.1*4=4000 N; F3=50000-4000=46000 N?

View full post »

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...

View full post »