Calculating the Year Length of Planet Y Around Alpha

AI Thread Summary
Planet Y orbits the star Alpha at nine times the distance of Planet X, which has a year length of 200 Earth days. To calculate the year length of Planet Y, Kepler's Third Law can be applied, stating that the square of the orbital period is proportional to the cube of the semi-major axis of the orbit. Using the formula T^2/r^3, where T is the orbital period and r is the distance from the star, the relationship can be established. By substituting the known values for Planet X and applying the proportionality to Planet Y, the year length can be determined. The calculation will reveal how long a year is on Planet Y.
jnimagine
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Planet X orbits the star Alpha with a 'year' that is 200 Earth days long. Planet Y circles Alpha at nine times the distance of planet X. How long is a year on planet Y?

I know that I have to use the kepler's law : T^2 = (4pi^2/GM)r^3
but I'm not too sure how to do solve this...
Please help!
Thanks.
 
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jnimagine said:
Planet X orbits the star Alpha with a 'year' that is 200 Earth days long. Planet Y circles Alpha at nine times the distance of planet X. How long is a year on planet Y?

I know that I have to use the kepler's law : T^2 = (4pi^2/GM)r^3
but I'm not too sure how to do solve this...
Please help!
Thanks.
Wikipedia said:
The third law : "The squares of the orbital periods of planets are directly proportional to the cubes of the axes of the orbits."

So T12/r13 = T22/r23
 

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