Overview

Master the essential mathematics of astrodynamics and celestial mechanics with a unique, practice-driven approach! Struggling to connect abstract theory to practical problem-solving? This is the resource you've been waiting for. Designed for students and professionals in physics, mathematics, and aerospace engineering, this book demystifies one of the most foundational topics in orbital dynamics through a clear, step-by-step methodology. Each of the 24 chapters is built for active learning. You won't find long, dense theoretical introductions here. Instead, every chapter begins with clear, concise, worked-out examples that walk you through the core mathematical procedures. Immediately following the examples, you'll find a robust set of practice problems to test your understanding and build your skills. Key Features: Example-First Learning: Every concept is introduced with detailed examples before you tackle problems on your own. Extensive Practice: Solidify your knowledge with over 300 short-answer practice problems, carefully designed to cover all key aspects of the topic. Complete Step-by-Step Solutions: Never get stuck again. The second half of the book provides full, detailed solutions for every single practice problem, showing you the exact process to reach the correct answer. Explore the core mathematics of: The Jacobi Integral and Zero-Velocity Surfaces Locating Collinear (L1, L2, L3) and Equilateral (L4, L5) Lagrange Points Linear Stability Analysis using Eigenvalues and the Routh-Hurwitz Criterion Periodic Orbits, including Halo and Liapunov families Invariant Manifolds and Numerical Computation Floquet Theory and the Elliptic Problem (ER3BP) Whether you are a student looking for an exam-prep advantage or a professional needing a practical reference, this book provides the tools you need to move beyond theory and achieve a working mastery of orbital mechanics. Unlock your understanding of orbital stability. Add this essential guide to your library today!

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