Kepler also discovered a relationship between the time it takes planets to orbit the Sun and their relative distances from the Sun. The planetās orbital period (P ), is the time it takes to travel once around the Sun (in Earth years). A planetās semi-major axis (a) is its average distance from the Sun in AU. This relationship is known as Keplerās third law, and says that a planetās orbital period (P ) squared is proportional to the semi-major axis (a) cubed: š! = š" Is this a linear relationship? (Circle one) Yes No
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Sepler's Third Law relates the period (P) it takes a planet to go around the Sun to the semi-major axis (a) of its orbit. Assume that the mass of the Sun is much greater than any of the planets (which it is), and measure P in years and a in astronomical units. The simplified relationship (formula) is: P = ā(a^3) The following two orbits have the same value for a. How do their values of P compare?
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