num_pages: 389
description: 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 NASAs 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 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 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
language: English
title: Basic Calculus of Planetary Orbits and Interplanetary Flight: The Missions of the Voyagers, Cassini, and Juno
publisher: Springer