Computer Modeling: From Sports to Spaceflight-- from Order to Chaos |
Contents
Lagranges Equations | 1 |
Some Fundamental Concepts in the Solution of Differential Equations | 11 |
One Approach to Solving a System of Ordinary Differential Equations | 19 |
Copyright | |
24 other sections not shown
Common terms and phrases
altitude angle angular velocity assume axis ball bifurcation bifurcation diagram bounce c₁ calculate chaos chaotic coefficient components consider constant coordinates curve density depends derivatives differential equation drag dt dt dt dy dx dt dy dt dynamical dynamical system Earth energy equations of motion equilibrium Euler's method friction function gravitational horizontal increase initial conditions integration investigate iteration Jupiter length lift force limit cycle M₁ mass moment of inertia Moon moving Newton's method numerical values orbit oscillations parameters period phase-plane diagram pitch plot Poincaré maps predation r₁ radius rotation satellite shown in figure simple pendulum sin² Skylab solution solved spacecraft spin spring stable starting conditions step stepsize Suppose swing TeMax trajectory truncation error unstable variables vary x-axis x-y plane y₁ zero