Simple Math: Halving Jupiter's Semi-Major Axis

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SUMMARY

The semi-major axis of Jupiter's orbit is 7.8 x 10^8 km. According to Kepler's Third Law, the square of the orbital period of a planet is directly proportional to the cube of the semi-major axis of its orbit. Therefore, if an asteroid has an orbital period half that of Jupiter, its semi-major axis is calculated as 3.9 x 10^8 km, confirming the initial calculation. This straightforward application of Kepler's law demonstrates the relationship between orbital period and semi-major axis effectively.

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my question is... the semimajor axis of the orbit of Jupiter is 7.8*108.
If an asteroid has an orbital period half of that of Jupiter what is the semi major axis?

All i did was times 7.8*108 by 1/2 and got 3.9*108.

Seems to simple!??

any comments much appreciated
 
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Look up Kepler's third law.
 
Thread closed. Don't cross-post, ghostbuster25.
 

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