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Basic Calculus of Planetary Orbits and Interplanetary Flight : The Missions of the Voyagers, Cassini, and Juno. 1st ed. 2020

種類:
電子ブック
責任表示:
by Alexander J. Hahn
出版情報:
Cham : Springer International Publishing : Imprint: Springer, 2020
著者名:
ISBN:
9783030248680 [3030248682]  CiNii Books  Calil
注記:
Preface -- 1. From Kepler to Newton to a Picture of the Universe -- 2. Exploring the Solar System -- 3. Calculus of Functions in Polar Coordinates -- 4. Centripetal Force and Resulting Trajectories -- 5. Elliptical Orbits and their Precession -- 6. Mathematics of Interplanetary Flight -- References -- Index.
Intended for a one- or two-semester course, this text applies basic, one-variable calculus to analyze the motion both of planets in their orbits as well as interplanetary spacecraft in their trajectories. The remarkable spacecraft missions to the inner and outermost reaches of our solar system have been one of the greatest success stories of modern human history. Much of the underlying mathematical story is presented alongside the astonishing images and extensive data that NASA’s Voyager, NEAR-Shoemaker, Cassini, and Juno missions have sent back to us. First and second year college students in mathematics, engineering, or science, and those seeking an enriching independent study, will experience the mathematical language and methods of single variable calculus within their application to relevant conceptual and strategic aspects of the navigation of a spacecraft. The reader is expected to have taken one or two semesters of the basic calculus of derivatives, integrals, and the role that limits play. Additional
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