Multivariable Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 0-53849-787-4
ISBN 13: 978-0-53849-787-9

Chapter 13 - Vector Functions - Review - Concept Check - Page 897: 9

Answer

See the explanation.

Work Step by Step

(1) Law of orbits (2) Law of areas: (3) Law of periods Kepler's three laws of planetary motion are described as follows: : 1) Law of orbits: All planets move in elliptical orbits having the Sun as one focus. 2) Law of areas: A line or radius vector $r(t)$ or a line segment that connects any planet to the sun sweeps out equal areas in equal time. 3) Law of periods: The square of the orbital period of any planet is proportional to the cube of the semi-major axis of its orbit.
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