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3 measure the period of a circular orbit and compare with the period of…

Question

3 measure the period of a circular orbit and compare with the period of more elliptical orbits but with the same semi - major axis:

typeperiod, t (years)semi - major axis, a (au)
circular
midly elliptical
highly elliptical

Explanation:

Step1: Recall Kepler's third - law

Kepler's third - law states that $T^{2}=k\times a^{3}$, where $T$ is the period of the orbit, $a$ is the semi - major axis, and $k$ is a constant for a given central body.

Step2: Analyze the situation

Since the semi - major axis $a$ is the same for the circular, mildly elliptical, and highly elliptical orbits, according to Kepler's third - law, the period $T$ will be the same for all of them.

Answer:

TypePeriod, T (years)Semi - major axis, a (AU)
Mildly EllipticalEqual to the othersGiven value (same for all)
Highly EllipticalEqual to the othersGiven value (same for all)