physics
posted by Hannah .
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?

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.
Respond to this Question
Similar Questions

PHYSICS
Two satellites A and B are in different circular orbits about the earth. The orbit speed of satellite A is three times that of satellite B. Find the ratio (TA/TB) of the periods of the satellite. 
physics
Compute the orbital radius of an earth satellite that has an equatorial orbit and always remains above a fixed point P on the earth's surface. Communication satellites have such "geosynchronous" orbits (see figure). These satellites … 
earth
Six artificial satellites complete one circular orbit around a space station in the same amount of time. Each satellite has mass m and radius of orbit L. The satellites fire rockets that provide the force needed to maintain a circular … 
physics
Two Earth satellites, A and B, each of mass m = 960 kg, are launched into circular orbits around the Earth's center. Satellite A orbits at an altitude of 4500 km, and satellite B orbits at an altitude of 13600 km. a) What are the potential … 
Physics
Two satellites, A and B, are in different circular orbits about the earth. The orbital speed of satellite A is thirtyfive times that of satellite B. Find the ratio (TA/TB) of the periods of the satellites. 
Physics
If an artificial earth satellite is in an orbit around the earthâ€™s equator with a period of exactly 1 day, how does its motion look to an observer on the rotating earth if it orbits in the same direction as the earth turns? 
Physics
Some communication satellites are put into a circular geosynchronous orbit in which the satellite remains above a certain position on the earth's equator as it orbits. Such a satellite would always be in the same position in the sky … 
Physics
Two satellites, A and B, are in different circular orbits about the earth. The orbital speed of satellite A is eightytwo times that of satellite B. Find the ratio (TA/TB) of the periods of the satellites. 
Physics
Two satellites, A and B, are in different circular orbits about the earth. The orbital speed of satellite A is eightytwo times that of satellite B. Find the ratio (TA/TB) of the periods of the satellites. 
physics
Two satellites, A and B, are in different circular orbits about the earth. The orbital speed of satellite A is thirtyfour times that of satellite B. Find the ratio (TA/TB) of the periods of the satellites. Thank you!