Computer Modeling: From Sports to Spaceflight-- from Order to Chaos |
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Page 219
... orbital speeds at different parts of the orbit . The third relates the size of an orbit to the period of revolution . One hundred years later , Newton formulated his law of gravitation to generalize these laws and to apply them to the ...
... orbital speeds at different parts of the orbit . The third relates the size of an orbit to the period of revolution . One hundred years later , Newton formulated his law of gravitation to generalize these laws and to apply them to the ...
Page 235
... orbit is highly sensitive to the initial speed . With the numerical values suggested , 7.86 to 7.90 will result in just a few revolutions . A value less than 7.5 could result in the satellite dropping to Earth due to gravity , not drag ...
... orbit is highly sensitive to the initial speed . With the numerical values suggested , 7.86 to 7.90 will result in just a few revolutions . A value less than 7.5 could result in the satellite dropping to Earth due to gravity , not drag ...
Page 253
... orbit . Consequently , the thrust will have to be reversed before the required orbit is reached . Experiment with this . One way to get started is to use forward thrust until r has increased substantially ; then reverse the thrust , and ...
... orbit . Consequently , the thrust will have to be reversed before the required orbit is reached . Experiment with this . One way to get started is to use forward thrust until r has increased substantially ; then reverse the thrust , and ...
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