Basic Calculus of Planetary Orbits and Interplanetary Flight

Basic Calculus of Planetary Orbits and Interplanetary Flight PDF

Author: Alexander J. Hahn

Publisher: Springer Nature

Published: 2020-03-14

Total Pages: 387

ISBN-13: 3030248682

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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

Interplanetary Flight

Interplanetary Flight PDF

Author: Arthur Charles Clarke

Publisher:

Published: 1951

Total Pages: 198

ISBN-13:

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This book by esteemed science fiction writer Arthur C. Clarke, is a serious albeit slim reference to rockets, orbital mechanics, and space technology that is accessible to readers with limited understandings of basic calculus and physics (elementary mechanics).

Theory of Interplanetary Flights

Theory of Interplanetary Flights PDF

Author: Grigor A. Gurzadyan

Publisher: CRC Press

Published: 2020-12-17

Total Pages: 394

ISBN-13: 1000116719

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This monograph contains an overview of classical dynamics, providing a solid basis on which to build an understanding of the theory of interplanetary flights. The treatment of the topic is based on both historical and topical perspectives. The theoretical development is illustrated with a number of practical examples, bringing to bear the author's experience gained from working on the Soviet space programme. Many examples are taken from current space missions - new data is included on the Shoemaker-Levy 9 comet, the flight of ULYSSES over the Solar poles and the Voyager's tour of the solar system.

Multiple Gravity Assist Interplanetary Trajectories

Multiple Gravity Assist Interplanetary Trajectories PDF

Author: OV Papkov

Publisher: Routledge

Published: 2017-11-01

Total Pages: 251

ISBN-13: 1351429701

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Reflecting the results of twenty years; experience in the field of multipurpose flights, this monograph includes the complex routes of the trajectories of a number of bodies (e.g., space vehicles, comets) in the solar system. A general methodological approach to the research of flight schemes and the choice of optimal performances is developed. Additionally, a number of interconnected methods and algorithms used at sequential stages of such development are introduced, which allow the selection of a rational multipurpose route for a space vehicle, the design of multipurpose orbits, the determination of optimal space vehicle design, and ballistic performances for carrying out the routes chosen. Other topics include the practical results obtained from using these methods, navigation problems, near-to-planet orbits, and an overview of proven and new flight schemes.

Math in the Time of Corona

Math in the Time of Corona PDF

Author: Alice Wonders

Publisher: Springer Nature

Published: 2021-11-08

Total Pages: 208

ISBN-13: 3030771660

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The title of this book, Math in the Time of Corona, has been drawn from the highly acclaimed novel by Gabriel García Márquez, Love in the Time of Cholera. The volume editor, Alice Wonders, holds a fictitious name that represents the mathematics publishing group at Springer Nature. Undeterred by disasters, so many mathematical and scientific discoveries have been made during times of duress or confinement. Unlike most any other subject, mathematics may be researched from anywhere. Covid-19, like Cholera, implementation of vaccinations have been uneven throughout the globe since the beginning of 2021. However, there has been a renewed hope for a return to normalcy though the timing will no doubt vary worldwide. Essays in this volume vary in topic and are written by members of the greater mathematics community, hence the use of “Math” in the book title. They recount or describe significant or noteworthy discoveries, musings, award winnings, eureka moments, challenges, solutions, inspirations, etc. that have resulted from, or have occurred during, an unprecedented global pandemic. Several of the authors have been involved in starting new research and devising new methodologies related to society’s response to the outbreak and its ability to self-organize during a dramatic and complex situation. Some contributions describe how mathematical models and the management of big data have proved to be fundamental tools for the interpretation of epidemic activity and development of coping mechanisms.

Parametric Design of Interplanetary and Orbital Trajectories with Examples for Mars 1973, 1975, and 1977 Opportunities

Parametric Design of Interplanetary and Orbital Trajectories with Examples for Mars 1973, 1975, and 1977 Opportunities PDF

Author: John F. Newcomb

Publisher:

Published: 1970

Total Pages: 84

ISBN-13:

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A method for parametrically studying the general interplanetary trajectory design problem is discussed; the method couples the design of interplanetary trajectories with the resulting planetary orbits obtainable from various launch and arrival opportunities. The procedure is applied to the trajectories which could be launched to Mars in the years 1973, 1975, and 1977, and for those opportunities, a set of parametric charts for use in designing Mars missions is included. The important mission parameters are presented and discussed, and launch windows are established which maximize payload in planetary orbit for a coplanar periapsis deboost.

Astronautics

Astronautics PDF

Author: Ulrich Walter

Publisher: John Wiley & Sons

Published: 2012-05-22

Total Pages: 597

ISBN-13: 3527410651

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As a crewmember of the D-2 shuttle mission and a full professor of astronautics at the Technical University in Munich, Ulrich Walter is an acknowledged expert in the field. He is also the author of a number of popular science books on space flight. The second edition of this textbook is based on extensive teaching and his work with students, backed by numerous examples drawn from his own experience. With its end-of-chapter examples and problems, this work is suitable for graduate level or even undergraduate courses in space flight, as well as for professionals working in the space industry.

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