In this book, a classic work of modern applied mathematics, Jürgen Moser presents a succinct account of two pillars of the theory: stable and chaotic behavior.
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.
Thanks to this magnificent edition and detailed commentary, it has at long last become possible to make sense of that achievement in its own terms, and to follow exactly what it meant to its author and his readers.
Shedding new light on the intellectual context of Newton's scientific thought, this book explores the development of his mathematical philosophy, rational mechanics, and celestial dynamics.
This is the first textbook to describe comprehensively the dynamical features of the Solar System and to provide students with all the mathematical tools and physical models they need to understand how it works.
The author proves the existence of an almost full measure set of -dimensional quasi-periodic motions in the planetary problem with masses, with eccentricities arbitrarily close to the Levi–Civita limiting value and relatively high ...