Fundamentals of Celestial Mechanics

Fundamentals of Celestial Mechanics PDF Author: J. M. A. Danby
Publisher:
ISBN:
Category : Celestial mechanics
Languages : en
Pages : 376

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Book Description

Fundamentals of Celestial Mechanics

Fundamentals of Celestial Mechanics PDF Author: J. M. A. Danby
Publisher:
ISBN:
Category : Celestial mechanics
Languages : en
Pages : 376

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Book Description


An Introduction to Celestial Mechanics

An Introduction to Celestial Mechanics PDF Author: Richard Fitzpatrick
Publisher: Cambridge University Press
ISBN: 1139510940
Category : Science
Languages : en
Pages : 277

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Book Description
This accessible text on classical celestial mechanics, the principles governing the motions of bodies in the Solar System, provides a clear and concise treatment of virtually all of the major features of solar system dynamics. Building on advanced topics in classical mechanics such as rigid body rotation, Langrangian mechanics and orbital perturbation theory, this text has been written for advanced undergraduates and beginning graduate students in astronomy, physics, mathematics and related fields. Specific topics covered include Keplerian orbits, the perihelion precession of the planets, tidal interactions between the Earth, Moon and Sun, the Roche radius, the stability of Lagrange points in the three-body problem and lunar motion. More than 100 exercises allow students to gauge their understanding and a solutions manual is available to instructors. Suitable for a first course in celestial mechanics, this text is the ideal bridge to higher level treatments.

Adventures in Celestial Mechanics

Adventures in Celestial Mechanics PDF Author: Victor G. Szebehely
Publisher: John Wiley & Sons
ISBN: 3527617795
Category : Technology & Engineering
Languages : en
Pages : 320

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Book Description
A fascinating introduction to the basic principles of orbital mechanics It has been three hundred years since Isaac Newton first formulated laws to explain the orbits of the Moon and the planets of our solar system. In so doing he laid the groundwork for modern science's understanding of the workings of the cosmos and helped pave the way to the age of space exploration. Adventures in Celestial Mechanics offers students an enjoyable way to become acquainted with the basic principles involved in the motions of natural and human-made bodies in space. Packed with examples in which these principles are applied to everything from a falling stone to the Sun, from space probes to galaxies, this updated and revised Second Edition is an ideal introduction to celestial mechanics for students of astronomy, physics, and aerospace engineering. Other features that helped make the first edition of this book the text of choice in colleges and universities across North America include: * Lively historical accounts of important discoveries in celestial mechanics and the men and women who made them * Superb illustrations, photographs, charts, and tables * Helpful chapter-end examples and problem sets

Fundamentals of Astronomy

Fundamentals of Astronomy PDF Author: Cesare Barbieri
Publisher: CRC Press
ISBN: 1000223760
Category : Science
Languages : en
Pages : 347

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Book Description
Providing a broad overview of foundational concepts, this second edition of Fundamentals of Astronomy covers topics ranging from spherical astronomy to reference systems, and celestial mechanics to astronomical photometry and spectroscopy. It expounds arguments of classical astronomy that provided the foundation for modern astrometry, whilst presenting the latest results of the very-long-baseline interferometry (VLBI) radio technique, optical interferometers and satellites such as Hipparcos and GAIA, and recent resolutions of the IAU and IERS regarding precession, forced and free nutation, and Earth figure and rotation. Concepts of general relativity are explored, such as the advance of Mercury’s perihelion, light deflection and black holes, in addition to the physical properties, orbits, and ephemerides of planets, comets and asteroids with an extension to visual binary stars orbital reconstruction. Extrasolar planets are also discussed, with reference to radial velocity and transits measurements by ground and space telescopes. Basic concepts of astronomical photometry, spectroscopy and polarimetry are given, including the influence of the terrestrial atmosphere. Classical works, such as Hipparchus, are mentioned in order to provide a flavor of the historical development of the field. It is an ideal textbook for undergraduate and graduate students studying astronomy, astrophysics, mathematics, and engineering. Supplementary and explanatory notes provide readers with references to additional material published in other literature and scientific journals, whilst solved and unsolved exercises allow students to review their understanding of the material. Features: Provides an introductory vision of arguments from spherical astronomy to celestial mechanics to astronomical photometry and spectroscopy Presents the information at an introductory level without sacrificing scientific rigor Fully updated throughout with the latest results in the field

Capture Dynamics and Chaotic Motions in Celestial Mechanics

Capture Dynamics and Chaotic Motions in Celestial Mechanics PDF Author: Edward Belbruno
Publisher: Princeton University Press
ISBN: 069118643X
Category : Mathematics
Languages : en
Pages : 232

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Book Description
This book describes a revolutionary new approach to determining low energy routes for spacecraft and comets by exploiting regions in space where motion is very sensitive (or chaotic). It also represents an ideal introductory text to celestial mechanics, dynamical systems, and dynamical astronomy. Bringing together wide-ranging research by others with his own original work, much of it new or previously unpublished, Edward Belbruno argues that regions supporting chaotic motions, termed weak stability boundaries, can be estimated. Although controversial until quite recently, this method was in fact first applied in 1991, when Belbruno used a new route developed from this theory to get a stray Japanese satellite back on course to the moon. This application provided a major verification of his theory, representing the first application of chaos to space travel. Since that time, the theory has been used in other space missions, and NASA is implementing new applications under Belbruno's direction. The use of invariant manifolds to find low energy orbits is another method here addressed. Recent work on estimating weak stability boundaries and related regions has also given mathematical insight into chaotic motion in the three-body problem. Belbruno further considers different capture and escape mechanisms, and resonance transitions. Providing a rigorous theoretical framework that incorporates both recent developments such as Aubrey-Mather theory and established fundamentals like Kolmogorov-Arnold-Moser theory, this book represents an indispensable resource for graduate students and researchers in the disciplines concerned as well as practitioners in fields such as aerospace engineering.

Analytical Mechanics of Space Systems

Analytical Mechanics of Space Systems PDF Author: Hanspeter Schaub
Publisher: AIAA
ISBN: 9781600860270
Category : Celestial mechanics
Languages : en
Pages : 746

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Book Description


An Introduction to the Mathematics and Methods of Astrodynamics

An Introduction to the Mathematics and Methods of Astrodynamics PDF Author: Richard H. Battin
Publisher: AIAA
ISBN: 9781600860263
Category : Astrodynamics
Languages : en
Pages : 840

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Book Description


The Foundations of Celestial Mechanics

The Foundations of Celestial Mechanics PDF Author: George William Collins
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 166

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Book Description


Fundamentals of Astrodynamics

Fundamentals of Astrodynamics PDF Author: Roger R. Bate
Publisher: Courier Corporation
ISBN: 9780486600611
Category : Technology & Engineering
Languages : en
Pages : 484

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Book Description
Teaching text developed by U.S. Air Force Academy and designed as a first course emphasizes the universal variable formulation. Develops the basic two-body and n-body equations of motion; orbit determination; classical orbital elements, coordinate transformations; differential correction; more. Includes specialized applications to lunar and interplanetary flight, example problems, exercises. 1971 edition.

Fundamentals of Astronomy

Fundamentals of Astronomy PDF Author: C Barbieri
Publisher: Taylor & Francis
ISBN: 1420011979
Category : Science
Languages : en
Pages : 385

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Book Description
Providing a broad overview of foundational concepts, Fundamentals of Astronomy covers topics ranging from spherical astronomy to celestial mechanics, closing with two chapters that discuss elements of astronomical photometry and spectroscopy. Supplementary and explanatory notes at the end of each chapter provide references to material published in scientific journals, and solved and unsolved exercises allow students to review their understanding of the material. Broad in coverage, the book presents arguments from classical astronomy, such as spherical astronomy, that form the foundation for future work in the field. Features: Provides an introductory vision of arguments from spherical astronomy to celestial mechanics to astronomical photometry and spectroscopy Presents the information at an introductory level without sacrificing scientific rigor Includes worked examples, references, and Web site evaluations