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Determining orbits for natural and artificial celestial bodies is an essential step in the exploration and understanding of the Solar System. However, recent progress in the quality and quantity of data from astronomical observations and spacecraft tracking has generated orbit determination problems which cannot be handled by classical algorithms. This book presents new algorithms capable of handling the millions of bodies which could be observed by next generation surveys, and which can fully exploit tracking data with state-of-the-art levels of accuracy. After a general mathematical background and summary of classical algorithms, the new algorithms are introduced using the latest mathematical tools and results, to which the authors have personally contributed. Case studies based on actual astronomical surveys and space missions are provided, with applications of these new methods. Intended for graduate students and researchers in applied mathematics, physics, astronomy and aerospace engineering, this book is also of interest to non-professional astronomers.

Orbit determination --- Celestial mechanics --- Orbit determination. --- Celestial mechanics. --- Gravitational astronomy --- Mechanics, Celestial --- Astrophysics --- Mechanics --- Determination of orbits --- Orbits --- Determination

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"This book provides a brief introduction to some basic but important problems in celestial mechanics, and particularly in the few-body problem, such as the permissible and forbidden region of motion, the evolution of moment of inertia of a system, and the orbital stability of asteroids in the solar system. All these are based on some main results in the authors' research works, which are related to the qualitative method of celestial mechanics and nonlinear dynamics. Some of these works are interdisciplinary, involving celestial mechanics, nonlinear dynamics and other disciplines. The book covers a variety of topics for dynamics in the solar system, including the comets, asteroids, planetary rings, Trojan asteroids, etc. As a senior scientist, Professor Sun shares his research experiences in this book. Readers may find plenty of information both about the theoretical and numerical analyses in celestial mechanics, and about the applications of theories and methods to dynamical problems in astronomy."--

Few-body problem. --- Celestial mechanics. --- Problem of few bodies --- Nuclear physics --- Quantum theory --- Gravitational astronomy --- Mechanics, Celestial --- Astrophysics --- Mechanics

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Many books deal with the techniques of designing, building and testing computer models and simulations, but few have seriously examined what models are based on, their inherent limitations, and their essential role in extending human knowledge. This book fills this need.It focuses on computer models throughout, yet its exposition of the nature and limits of modeling is entirely general. A chapter on the development of celestial mechanics models illustrates how models progress and are essential to natural science. Chapters on models of global climate, population, economics and warfare, illustra

Computer simulation. --- Celestial mechanics --- Virtual reality. --- Environments, Virtual --- Virtual environments --- Virtual worlds --- Computer simulation --- Reality --- Gravitational astronomy --- Mechanics, Celestial --- Astrophysics --- Mechanics --- Computer modeling --- Computer models --- Modeling, Computer --- Models, Computer --- Simulation, Computer --- Electromechanical analogies --- Mathematical models --- Simulation methods --- Model-integrated computing

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When a leaf falls on a windy day, it drifts and tumbles, tossed every which way on the breeze. This is chaos in action. In Fly Me to the Moon, Edward Belbruno shows how to harness the same principle for low-fuel space travel--or, as he puts it, "surfing the gravitational field." Belbruno devised one of the most exciting concepts now being used in space flight, that of swinging through the cosmos on the subtle fluctuations of the planets' gravitational pulls. His idea was met with skepticism until 1991, when he used it to get a stray Japanese satellite back on course to the Moon. The successful rescue represented the first application of chaos to space travel and ushered in an emerging new field. Part memoir, part scientific adventure story, Fly Me to the Moon gives a gripping insider's account of that mission and of Belbruno's personal struggles with the science establishment. Along the way, Belbruno introduces readers to recent breathtaking advances in American space exploration. He discusses ways to capture and redirect asteroids; presents new research on the origin of the Moon; weighs in on discoveries like 2003 UB313 (now named Eris), a dwarf planet detected in the far outer reaches of our solar system--and much more. Grounded in Belbruno's own rigorous theoretical research but written for a general audience, Fly Me to the Moon is for anybody who has ever felt moved by the spirit of discovery.

Gravity assist (Astrodynamics) --- Celestial mechanics --- Chaotic behavior in systems --- Many-body problem --- n-body problem --- Problem of many bodies --- Problem of n-bodies --- Mechanics, Analytic --- Chaos in systems --- Chaos theory --- Chaotic motion in systems --- Differentiable dynamical systems --- Dynamics --- Nonlinear theories --- System theory --- Gravitational astronomy --- Mechanics, Celestial --- Astrophysics --- Mechanics --- Low energy transfers (Astrodynamics) --- Swingby technique (Astrodynamics) --- Orbital transfer (Space flight) --- Outer space --- Exploration

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I was delighted to be invited by my colleagues Alessandra Celletti and Ettore Perozzi to provide a foreword to their book, Celestial Mechanics: The Waltz of the Planets. Having known them for many years and long admired their work in the subject so many of us love and are fascinated by, 1 read with great attention and pleasure the text when it arrived. It is a formidable task they have set themselves, to provide a book that describes attempts by successive generations of astronomers from the dawn of history five millennia ago to observe, record and understand the phenomena of the heavens, particularly the intricate and perplexing behaviour of the planets. Sun and Moon. As naked eye astronomy became aided by the telescope and the photographic plate, and since the middle of the twentieth century, by instruments launched on spacecraft into circum- Earth orbit or to the Moon and planets and beyond, the discovery of new satellites, scores of them, and ring systems displaying new and initially perplexing behaviour also demanded explanations for that behaviour. It is also the inspiring story of science itself with special reference to how lonely individuals, impelled by curiosity and dedicated to seeking the truth, and nothing but the truth, about the fascinating phenomena of nature, ultimately became accepted as scientists, those players in the most successful endeavour ever engaged in by the human race.

Celestial mechanics --- Astronomy --- Gravitational astronomy --- Mechanics, Celestial --- Astrophysics --- Mechanics --- Astronomy. --- Science (General). --- Mathematics. --- Popular Science in Astronomy. --- Astronomy, Observations and Techniques. --- Popular Science, general. --- Applications of Mathematics. --- Classical and Quantum Gravitation, Relativity Theory. --- Math --- Science --- Observations, Astronomical. --- Astronomy—Observations. --- Popular works. --- Applied mathematics. --- Engineering mathematics. --- Gravitation. --- Field theory (Physics) --- Matter --- Physics --- Antigravity --- Centrifugal force --- Relativity (Physics) --- Engineering --- Engineering analysis --- Mathematical analysis --- Astronomical observations --- Observations, Astronomical --- Properties --- Mathematics