The comet churyumov-gerasimenko has an unusual orbit for a comet. instead of being far beyond neptune like most comets, it is much closer to the sun, and has a semi major axis of just 3.46 astronomical units (au). jupiter has a semi major axis of 5.20 au. based on kepler’s 3rd law, does the comet orbit the sun with a longer or shorter period than jupiter?

comet has shorter period

Explanation:

Given data:

comet semi major axis 3.46 AU

JUPITER major axis = 5.20 AU

We know that from kepler 3rd law, the square of orbital period is directly propotional to cube of semi-major axis of its orbit. i.e

where K is constant =1

P -  ORBITAL PERIOD (YR)

A - SEMI-MAJOR AXIS (AU)

For Jupiter

for Churyumov - Gerasimenko

P = 6.43 Yr

Therefore comet has shorter period

answer: associative property of addition

hopes this

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