Posted by **Leslie** on Thursday, November 15, 2012 at 12:48am.

A hypothetical moon is orbiting Saturn in a circular orbit that has exactly 3 times the period that an object orbiting in one of one of the gaps in Saturn's rings would have. As measured from the center of Saturn at what fraction [to 3 decimal places] of that moon's orbital radius does the ring appear? [Hint: Use Kepler's 3rd Law]

- Physics - Astronomy -
**drwls**, Thursday, November 15, 2012 at 3:02am
Kepler's third law says that, for all objects orbiting the same large mass,

P^2/R^3 = constant

P is the period; R is the orbit radius.

If the moon's period is 3 times the ring gap object's period

[R(gap)/R(moon)]^3 = [P(gap)/P(moon)]^2 = 1/9

[R(gap)/R(moon)] = cube root of 1/9

- Physics - Astronomy -
**drwls**, Saturday, November 17, 2012 at 2:26am
[R(gap)/R(moon)] = cube root of 1/9 = 0.481

## Answer this Question

## Related Questions

- Physics - centripetal acceleration - What is the centripetal acceleration of a ...
- physic - Determine the time it takes for a satellite to orbit the Saturn in a ...
- mila - Determine the time it takes for a satellite to orbit the Saturn in a ...
- Physics - Saturn makes one complete orbit of the Sun every 29.4 years. Calculate...
- Astronomy - Saturn’s Moon Janus is observed to orbit the planet with period 0....
- physics - What is the linear speed of Saturn in its orbit about the sun? Give ...
- Physics - Find the orbital speed of an ice cube in the rings of Saturn, if the ...
- physics - Astonomers discover a new planet orbiting a fixed point in space, but ...
- science - One of Saturn's moons has an orbital distance of 1.87×100000000m. The ...
- science - One of Saturn's moons has an orbital distance of 1.87× 10m to the 8 ...