Question 25 of 29 In Sapling Learning Map do Orbits of four different planets ar

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Question 25 of 29 In Sapling Learning Map do Orbits of four different planets around the same star are shown. The masses of the Planet Mass nets, expressed in terms of the mass M of the smallest planet, can be found in the cluded table, while the relative sizes of the orbits can be determined from the diagram. C Assume that the mass of the star is much larger than the mass of the planets. Rank the period T of the four orbits, from longest to shortest. 41M 450M D 6100M WwA There is a hint available View the hint by clicking on the divider bar again to hide the hint Close

Explanation / Answer

According to Kepler's Law of periods, T2 is proportional to R3. It is not dependent on the masses of the planets. In case on non circular orbits, we consider the semi-major axis as R. So, higher the value of R, higher will be T. To be sure, we can count the number of squares along the diameter or major axis of the orbit.

For A, it is 12 units, for B it is 8 units, for C it is 8 units and for D it is 12 units.

Hence, TD = TA > TB = TC

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