Kepler's third law of planetary motion states that the period P of a planet (the time it takes a planet to complete a single trip around the sun) is a power function of the mea distance D from the sun, and the power is k = 1.5. Neptune is about 30 times as far from the sun as the Earth. How much longer is Neptune's period? Round your answer to 2 decimal places. It takes Neptune times as long as Earth to complete a single trip around the sun.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.