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Using Newton's version of Kepler's Third Law, determine the Kepler's Constant for an object orbiting the Sun

Using Newton's version of Kepler's Third Law, determine the Kepler's Constant for an object orbiting the Sun

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Kepler's Laws and Satellite Motion Knowing the gravitational attraction between the planet and the Sun provides the centripetal force to maintain the planet's orbit around the Sun and knowing Kepler's Laws we are now able to go backwards and calculate Kepler's Constant, K. F. = FG 4n2mr GMm T2 r2 47?r GM T2 r2 T2 so k = GM 2.97x10-19 s2/m³ or 1 a?/AU2 r3 GM Example 6: Using Newton's version of Kepler's Third Law, determine the Kepler's Constant for an object orbiting the Sun ::
Transcribed Image Text:Kepler's Laws and Satellite Motion Knowing the gravitational attraction between the planet and the Sun provides the centripetal force to maintain the planet's orbit around the Sun and knowing Kepler's Laws we are now able to go backwards and calculate Kepler's Constant, K. F. = FG 4n2mr GMm T2 r2 47?r GM T2 r2 T2 so k = GM 2.97x10-19 s2/m³ or 1 a?/AU2 r3 GM Example 6: Using Newton's version of Kepler's Third Law, determine the Kepler's Constant for an object orbiting the Sun ::
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