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Engineering - Modern Astrodynamics: Second Edition

Description

Book Synopsis: Beginning with Hamiltonian dynamics, Modern Astrodynamics blends the modern methods of dynamical systems theory with the perturbation theory methods of the last century. With an emphasis on earth satellite motion, the derivation of the geopotential expansion is covered, and the motion of an object under the influence of the Earth's equatorial oblateness is derived to the first order. The structure of the phase space of Hamiltonian systems is explored both with modern numerical techniques (the surface of section) periodic orbit theory, and nonlinear resonance methods. The text concludes with applications of these modern methods to the problem of the relative motion of satellites in orbit about the earth, and the application of KAM tori to earth satellite motion. The text is suitable for a semester course at the introductory graduate level.

Topics covered include:
(1) Modern Numerical Methods,
(2) Transformation Theory,
(3) Variation of Elements,
(4) Perturbing Forces,
(5) General Perturbations,
(6) Nonlinear Resonance,
(7) Relative Satellite Motion, and (8) KAM Tori.

Details

Are you ready to take your understanding of astrodynamics to the next level? Look no further than our latest release, Modern Astrodynamics: Second Edition. This comprehensive book seamlessly combines the latest advancements in dynamical systems theory with the tried-and-tested perturbation theory methods of the past century. Whether you're an aspiring astrophysicist or already working in the field, this book is a must-have addition to your collection.

One of the key highlights of Modern Astrodynamics is its focus on earth satellite motion. The book provides a detailed derivation of the geopotential expansion, allowing you to gain a deeper understanding of the complexities involved in satellite trajectories. Furthermore, it explores the motion of objects under the influence of the Earth's equatorial oblateness to the first order, ensuring you have a comprehensive grasp of the subject matter.

What sets Modern Astrodynamics apart is its utilization of modern numerical techniques. With the inclusion of cutting-edge methods like the surface of section, periodic orbit theory, and nonlinear resonance methods, this book equips you with the tools to delve into the intricate structure of Hamiltonian systems. By exploring these techniques, you'll be able to approach astrodynamics from a fresh, innovative perspective.

The applications of Modern Astrodynamics are also incredibly valuable. The book tackles the challenging problem of the relative motion of satellites in orbit around the Earth. By studying the application of KAM tori to earth satellite motion, you'll gain insights that can be applied to real-world scenarios. Whether you're working on satellite deployment or space exploration missions, this knowledge will prove indispensable to your work.

Elevate your understanding of modern astrodynamics and order your copy of Modern Astrodynamics: Second Edition now. Fuel your passion for astrophysics and harness the power of advanced numerical techniques to unlock the secrets of satellite motion. Take the next step in your astrodynamics journey with this groundbreaking book.

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