Description 
1 online resource (387 pages) 
Contents 
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 
Summary 
Intended for a one or twosemester course, this text applies basic, onevariable 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 NASAs Voyager, NEARShoemaker, 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 humanitys 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 selfcontained 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 bo ok 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 
Bibliography 
Includes bibliographical references and index 
Notes 
Print version record 
Subject 
Calculus.


Planets  Orbits  Mathematics


Space vehicles  Orbits  Mathematics


calculus.


Cálculo


Planetas  Órbitas (Astronomía)  Matemáticas


Calculus

Form 
Electronic book

ISBN 
9783030248680 

3030248682 
