Homework Help: science

Posted by bob on Tuesday, January 11, 2011 at 1:08am.

if earth is one astronomical unit from the sun and has a period of 1 year, approximately how far is planet X form the sun if it has a period of 26 yearS

science - drwls, Tuesday, January 11, 2011 at 1:37am
Kepler's third law says that R^3/P^2 = constant.

http://csep10.phys.utk.edu/astr161/lect/history/kepler.html

We can choose to measure P in years and the orbital radius R in a.u.

In your case, the ratio (R^3/26^2) = 1^3/1^2 = 1
R^3 = 676
R = 8.8 a.u.

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