SOLUTION: The planet Jupiter goes around the sun in 12 years (approximately) and the planet Saturn in 29 years. In how many years will the planet Jupiter gain one complete circuit on the pla

Question 836260: The planet Jupiter goes around the sun in 12 years (approximately) and the planet Saturn in 29 years. In how many years will the planet Jupiter gain one complete circuit on the planet Saturn?
thank you so much!
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The planet Jupiter goes around the sun in 12 years (approximately) and the planet Saturn in 29 years. In how many years will the planet Jupiter gain one complete circuit on the planet Saturn?
-----------
Using 12 and 29 years, and starting at a syzygy at angle = zero:
J's angle = (360/12)*t = 30t, t in years, angles in degrees
S's angle = (360/29)*t
---
Find when the angles are equal modulo 360, which is 360< angle < 720
30t = 360t/29 + 360
t = 12t/29 + 12
29t = 12t + 348
17t = 348
t =~ 20.47 years
==========================
It's the product/difference of the periods

RELATED QUESTIONS
hey guys this is a two part problem not doing so great on I could use your help please. (answered by ankor@dixie-net.com)

The planet-year of a given planet is the time it takes the planet to make a complete... (answered by ikleyn)

If the average radius of the orbit of Venus is 0.723 AU, then how many years does it tale (answered by ankor@dixie-net.com)

IN ALL,JUPITER AND SATURN HAVE 34 MOONS. SATURN HAS 2 MORE MOONS THAN JUPITER. HOW MANY... (answered by addingup,josgarithmetic)

Can some one show me how to solve this problem? Earth, Jupiter, Saturn, and Uranus all... (answered by stanbon)

Hi I need help with 3 word problems. I don't even know where to begin. This is from my... (answered by solver91311)

The Keppler telescope NASA sent into deep space to took for planets that closely resemble (answered by Alan3354)

It takes Jupiter 11.86 Earth-years to orbit the sun. Assuming a circular orbit, what... (answered by Alan3354)

Pls, help me solve it, thank you The average distance between planet Jupiter and to Sun... (answered by cleomenius)