

Therefore R = the cube root of .058081 or .3873 astronomical units or
35,980,000 miles or 57,890,000 kilometers. You can use this example for practice with this calculator.
A more complex problem is at the end of this page. This calculator has been rewritten so that units can be in seconds, hours, days, kilometers, miles, astronomical units or light years.
Choose the item you want to input: 

Example 2) Europa, a moon of Jupiter, orbits the planet in 3.5 days. What is its radius of orbit?
In this case we cannot use Earth as the standard because the Sun is NOT at the
center of Europa's orbit. Therefore, we must choose another moon of Jupiter's
in order to have a standard. Io orbits Jupiter in 1.75 days with an
orbital radius of 421,800 kilometers. So, Europa takes twice as much time as Io
to orbit Jupiter, making Europa's period = 2. Europa's radius of orbit would
then be the cube root of of the time squared (2^{2} = 4). The cube
root of 4 = 1.5874 but this is in terms of Io units. So, to convert this to
kilometers, we multiply by Io's radius (421,800) and get 670,000 kilometers.
Answers are displayed in scientific notation with the number of
significant figures you specify in the box above. 
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