How do I measure the veloctiy of a satellite geostationary to the earth? Also, how do I measure the radius of the orbit, from Earth to the satellite?
2006-11-10 12:36:29 · 3 answers · asked by Robert G 1 in Science & Mathematics ➔ Physics
I suppose you meant "relative" velocity as compared "to the earth". The key in that is 'geostationary'. The satelite is geologically stationary and the Vrel = 0. However the angular velocity is something different. Vang is computed by finding the circumference of the geo orbit. To find that, you must find the radius of the same orbit.
A geostationary orbit is a function of a balance of forces. The force of gravity and the force of centrifugal motion.
Fg = m g
Force between two bodies = G (m1 - m2)/(r^2)
Fc = m a(cent) = m v^2/r
G = Gravitational constant
Solve for r and you got the radius. Rest is academic.
Just for checking, orbit height (don't forget the earth's radius) should be somewhere around 22,000 miles.
2006-11-10 12:57:57 · answer #1 · answered by Stan B 2 · 0⤊ 0⤋
Hi. The orbit matches the rotation, so one orbit takes one day. The radius is constant and is about 22,300 miles. So multiply times pi and divide by 24 to get MPH.
2006-11-10 20:47:29 · answer #2 · answered by Cirric 7 · 0⤊ 0⤋
Wow, I solved this problem in high school, wish I had my notes, but i know you mut equate the two forces, gravity to centrifugal force. If you still can't get it then write back and I will give you the answer.
2006-11-10 21:05:41 · answer #3 · answered by jyager01 1 · 0⤊ 0⤋