you are asked to verify Kepler's Laws of Planetary Motion. For these exercises, assume that each planet moves in an orbit given by the vector- valued function r. Let r = ||r||, let G represent the universal gravitational constant, let M represent the mass of the sun, and let m represent the mass of the planet. dr •r' = r dt Prove that r •

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you are asked to verify
Kepler's Laws of Planetary Motion. For these exercises,
assume that each planet moves in an orbit given by the vector-
valued function r. Let r = ||r||, let G represent the universal
gravitational constant, let M represent the mass of the sun, and
let m represent the mass of the planet.
Transcribed Image Text:you are asked to verify Kepler's Laws of Planetary Motion. For these exercises, assume that each planet moves in an orbit given by the vector- valued function r. Let r = ||r||, let G represent the universal gravitational constant, let M represent the mass of the sun, and let m represent the mass of the planet.
dr
•r' = r
dt
Prove that r •
Transcribed Image Text:dr •r' = r dt Prove that r •
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