Physically-based particle system
1. Description
- Particle is fully described by: Position \(p\), Velocity \(v\), Mass \(m\)
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- Fundamental quantities: position and linear momentum \(P=m\,v\)
- Linear Momentum preserved in isolated system
2. Evolution
- - Fundamental principle of dynamics
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- Force applied on particle \(F(p,v,t)\)
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- \(\left\{\begin{array}{l}p'(t) = v(t) \\ P'(t) = m\, v'(t) = F(p,v,t)\end{array}\right.\)
- - Conservation of energy (ex. kinetic energy (\(1/2\, m \, v^2\))+potential energy = const, etc.)
- - Lagragian, or Hamiltonian (reduced coordinates)
