Celestial Mechanics - 300 Problems and Solutions: In Gravitational Dynamics and Orbital Motion (numerical problems in physics)
Kindle Edition or EPUB + Converted PDF نویسندگان: Harry Langer
جزئیات
فرمت: Kindle Edition or EPUB + Converted PDF تاریخ انتشار نسخه الکترونیکی : September 15, 2026
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لینک: https://www.amazon.com/dp/B0HJW7DYVX
1,487,000 تومان
زمان تحویل: حداکثر 24 ساعت
توضیحات
You read about probe trajectories reaching Pluto or gravity assists slinging probes toward Neptune, and you wonder how those paths are actually calculated. Popular science accounts tell exciting stories. Yet they leave out the mathematical engine that turns orbital mechanics into physical reality. If you want to move beyond surface summaries and understand gravitational motion for yourself, you need to work through the math step by step. This collection gives you that exact hands-on access through 300 complete, step-by-step problem solutions.You do not need an advanced academic degree to use this book - just high-school calculus, vector basics, and a working scientific calculator. Chapter 3 begins with gravitational fields, deriving the shell theorem and explaining why planetary bodies attract external objects as point masses. In Chapter 5, you derive Kepler's three laws directly from dynamic principles, learning how orbital periods depend solely on semi-major axis length rather than eccentricity. Chapter 8 tackles the counterintuitive reality of orbital energy. Why does atmospheric drag cause a low-orbit satellite to speed up? Why does raising an orbit require adding energy while ending up at a lower speed? The worked solutions resolve these paradoxes through clear energy bookkeeping.Chapter 11 takes you directly into interplanetary navigation. You will calculate hyperbolic excess speeds, sphere-of-influence crossings, and patched-conic approximations. You will compute turning angles for gravity assists, discovering why passing behind a planet speeds a spacecraft up while passing in front slows it down. Chapter 13 opens up the restricted three-body problem. Here, you examine Jacobi constants, zero-velocity surfaces, and the five Lagrange points. You will calculate why the equilateral libration points remain stable for Trojan asteroids and how halo orbits keep space telescopes out of Earth's shadow.In Chapter 14, you dive into tidal forces and resonance dynamics. You will calculate why the Moon dominates Earth's tides over the Sun, how tidal friction lengthens Earth's day, and why Pluto's 3:2 resonance with Neptune protects it from collision. Every problem provides full numerical steps, clear unit tracking, and grounded interpretations connecting the math to real solar system phenomena.Do not treat this text as a passive reference. Grab a notebook, try to solve each scenario yourself first, and then step through the worked mathematical solution. By engaging with these three hundred scenarios, you build an authentic, lasting grasp of how gravity shapes the cosmos.
1,487,000 تومان
زمان تحویل: حداکثر 24 ساعت