Posted by Hannah on Saturday, January 19, 2008 at 10:49pm.
Two artificial satellites, 1 and 2, orbit the Earth in circular orbits having radii R1 and R2. If R2=2R1, the accelerations a2 and a1 of the satellites are related how?

physics  drwls, Saturday, January 19, 2008 at 11:06pm
The centripetal acceleration of a satellite in a circular orbit is V^2/R , but V is a function of R also. For an earth satellite
GM/R^2 = V^2/R
where g is the universal constant of gravity and M is the mass of the earth. Therefore
V^2 = GM/R, and V^2 is inversely proportional to R.
That means that the acceleration V^2/R is inversely proportional to R^2. So if R2 = 2 R1, the acceleration at 2 is 1/4 as much.
I could have obtained this result more easily by recognizing that the acceleration is the gravitation force divided by satellite mass m, and the force is inversely proportional to R^2.
Answer This Question
Related Questions
 physics  Two Earth satellites, A and B, each of mass m = 960 kg, are launched ...
 Physics  If an artificial earth satellite is in an orbit around the earthâ€™s ...
 physics  Two satellites, A and B, are in different circular orbits about the ...
 Physics  Two satellites, A and B, are in different circular orbits about the ...
 Physics  Two satellites, A and B, are in different circular orbits about the ...
 Physics  Two satellites, A and B, are in different circular orbits about the ...
 physics  Compute the orbital radius of an earth satellite that has an ...
 earth  Six artificial satellites complete one circular orbit around a space ...
 PHYSICS  Two satellites A and B are in different circular orbits about the ...
 Physics  Some communication satellites are put into a circular geosynchronous ...
More Related Questions