Posted by **jimmyjonas** on Tuesday, February 22, 2011 at 8:48am.

Two satellites are in circular orbits around Jupiter. One, with orbital radius r, makes one revolution every 17 h. The other satellite has orbital radius 4.2r. How long does the second satellite take to make one revolution around Jupiter?

- physics -
**tchrwill**, Tuesday, February 22, 2011 at 11:11am
The orbital period is defined by

T = 2(Pi)sqrt[r^3/µ)] where T = the period in seconds, r = the orbital radius and µ = the planet's gravitational constant.

17hr = 61,200 sec.

61,200 = 2(Pi)sqrt[r^3/µ] from which µ = r^3/94,873,103

At a radius of 4.2r,

T = 2(Pi)sqrt[74.088r^3(94,873,103/r^3] = 23.288 hours.

- physics -
**tchrwill**, Tuesday, February 22, 2011 at 1:15pm
OOPS - the hand was quicker than the eye.

The orbital period is defined by

T = 2(Pi)sqrt[r^3/µ)] where T = the period in seconds, r = the orbital radius and µ = the planet's gravitational constant.

17hr = 61,200 sec.

61,200 = 2(Pi)sqrt[r^3/µ] from which µ = r^3/94,873,103

At a radius of 4.2r,

T = 2(Pi)sqrt[74.088r^3(94,873,103/r^3] = 146.32

hours.

The same result derives from Kepler's third law, T/To = [R/Ro]^(3/2) where

T/17 = [4.2R/R]^(3/2).

## Answer this Question

## Related Questions

- Physics - Two satellites are in circular orbits around Jupiter. One, with ...
- Physics - Two satellites, X and Y, orbit a planet in nearly circular orbits. ...
- gravity - You are an astronaut in the space shuttle pursuing a satellite in need...
- physics - Two satellites are in circular orbits around the earth. The orbit for ...
- physics 1 - Two satellites are in circular orbits around the earth. The orbit ...
- physics - Two satellites are in orbit around Mars with the same orbital radius...
- Physics - Two satellites, A and B, are in different circular orbits about the ...
- Physics - Two satellites are in circular orbits around the earth. The orbit for ...
- 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 ...