- #1
BrainMan
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Homework Statement
The planet Jupiter has at least 14 satellites. One of them, Callisto, has a period of 16.75 days and a mean orbital radius of 1.883 x 109 m. From this information, calculate the mass of Jupiter.
Homework Equations
T2 = (4∏2/ GM)r3
∏ = pi
The Attempt at a Solution
I attempted to plug the values into the above formula to find the mass
(16.75)2 = (4∏2/6.673 x 10-11M)(1.883 x 109)3
280.5625 = (1.883 x 109)34∏2/ 6.673 x 10-11M
280.5625 M = (1.883 x 109)34∏2/ 6.673 x 10-11
280.5625 M = 3.95 x 1017
M = 1.4 x 1015
The correct answer is 1.89 x 1027 kg