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Basic Calculus of Planetary Orbits and Interplanetary Flight

The Missions of the Voyagers, Cassini, and Juno

Authors: Hahn, Alexander J.

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  • Solutions to odd exercises are freely available ; instructors who adopt the text may retrieve the solutions to all exercises. Follow the links below.
  • Includes nearly 150 breathtaking color photos and extensive data from NASA’s Voyager, NEAR-Shoemaker, Cassini, and Juno missions  
  • Highlights mathematics of the solar system and the role played by combining calculus and basic physical laws
  • Presents the basic working knowledge and insights into the applicability of polar calculus
  • Provides and in depth understanding of the uses trigonometric and hyperbolic functions and parametric equations in spacecraft navigation
  • Uniquely approaches basic calculus within the historical context of interplanetary flight 
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  • ISBN 978-3-030-24868-0
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Hardcover $69.99
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  • ISBN 978-3-030-24867-3
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  • Usually dispatched within 3 to 5 business days.
About this Textbook

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 prerequisites include knowledge of coordinate plane geometry, basic trigonometry, functions and graphs, including trig, inverse, exponential, and log functions.

The discussions begin with the rich history of humanity’s efforts to understand the universe from the Greeks, to Newton and the Scientific Revolution, to Hubble and galaxies, to NASA and the space missions.   The calculus of polar functions that plays a central mathematical role is presented in a self-contained way in complete detail. Each of the six chapters is followed by an extensive problem set that deals with and also expands on the concerns of the chapter. The instructor has the flexibility to engage them with greater or lesser intensity.

 “I have been an aerospace engineer for 39 years and honestly, it would be hard for me to overstate how valuable I believe this book will be to numerous scientific and engineering disciplines and in particular to the future of aerospace engineering … This book is perfectly crafted to motivate, educate, and prepare the scientists and engineers who wish to reach for the sky and beyond.”   —Dr. Mario Zoccoli, Aerospace Engineer, NASA and Lockheed Martin


About the authors

Alexander J. Hahn is Professor Emeritus of Mathematics at the University of Notre Dame. His research over the years has had a focus on the following algebraic concerns: Orthogonal groups and other classical matrix groups both over fields, integral domains and in number theoretic situations, and related structures such as Clifford algebras, Azumaya algebras, quadratic and Hermitian forms and their Witt groups, and linear and Hermitian K-Theory. In the last few years Dr. Hahn has become interested in the history of mathematics and science. In addition to this present book, Alexander Hahn's books published with Springer include : The Classical Groups and K-Theory (Grundlehren);  Quadratic Algebras (Universitext); Basic Calculus: From Archimedes to Newton to its Role in Science (TiM). Hahn has also published Mathematical Excursions to the World's Great Buildings with PUP.

Table of contents (6 chapters)

Table of contents (6 chapters)

Buy this book

eBook $54.99
price for USA in USD (gross)
  • ISBN 978-3-030-24868-0
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $69.99
price for USA in USD
  • ISBN 978-3-030-24867-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Basic Calculus of Planetary Orbits and Interplanetary Flight
Book Subtitle
The Missions of the Voyagers, Cassini, and Juno
Authors
Copyright
2020
Publisher
Springer International Publishing
Copyright Holder
Alexander J. Hahn
eBook ISBN
978-3-030-24868-0
DOI
10.1007/978-3-030-24868-0
Hardcover ISBN
978-3-030-24867-3
Edition Number
1
Number of Pages
XIV, 375
Number of Illustrations
95 b/w illustrations, 136 illustrations in colour
Topics