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torabara torabara
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11 years ago
A 15000 kg satellite is in a synchronous orbit around Jupiter. Find the radius of the orbit.
________ AU

NOTE: One astronomical unit (AU) is the average distance between the sun and the earth.

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11 years ago Edited: 11 years ago, bio_man
m1 = jupiter mass = 1.8986 e27 kg
 m2 = satellite mass = 15,000 kg
 t = sidereal ( 360 ° ) rotation time = 9.925 h = 35,730 seconds
 1 AU = 1.5 e11 m

Even using the correct equations for a 2 body mass, due to the relatively small mass of the satellite, the results for d (center to center distance) and r (orbital radius) are the same, even though I used excel for the calculations.

The result is : 1.6001 e8 m = 1.0667 e-3 AU
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