Computer modeling: from sports to spaceflight-- from order to chaos |
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Contents
Some Fundamental Concepts in the Solution of Differential Equations | 11 |
Springs | 13 |
One Approach to Solving a System of Ordinary Differential Equations | 19 |
Copyright | |
22 other sections not shown
Common terms and phrases
altitude angle angular angular velocity approximation assume attractor axis ball bifurcation bifurcation diagram bounce calculation center of mass chaos chaotic comet components confirm consider constant coordinates cricket ball curve defined density depends diagram differential equations dynamical system Earth energy equilibrium Euler’s method field Figure final find first first-order fixed point flight function gravitational horizontal illustrated in figure increase initial conditions initial speed integration investigate iteration Jupiter lift force limit cycle Lorenz equations mass Moon moving Newton’s method numerical values orbit oscillations parameters pendulum periodic phase-plane pitch plane plot Poincaré maps population predation radius rocket rotation satellite shown in figure Skylab solution solved spacecraft spin stable starting conditions step stepsize subroutine Suppose swing TeMax trajectory truncation error variables vary velocity vertical yo-yo zero