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## Homework Statement

Two satellites are in circular orbits around Jupiter. One, with orbital radius r, makes one revolution every 16 h. The other satellite has orbital radius 4.0r. How long does the second satellite take to make one revolution around Jupiter?

A. 130 hours

B. 120 h

C. 140 h

D. 110 h

E. 90 h

## Homework Equations

v = sqrt( GMj / r )

T = (2*pi*r) / v

G = 6.673*10^-11

Mj = 1.90*10^27

## The Attempt at a Solution

I'm assuming that this is just an algebra problem at this point, but I'm having trouble finding r.

T = ( 2*pi*r) / sqrt( GMj / r )

r = [(GMjT^2) / (4pi^2)]^(1/3)

When I solve for r and then plug r back into the equation for T I do not get 16, which means I'm not doing something right here.

Do I need to convert the 16 hours / revolution into another unit before solving for r?

Any pointers?

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