SmtC: Show me the Code!

< Cycloid | Parametrization | Regularity >

$λ = \frac{r + c}{r} \geq 0$ : $\underset{―}{r} (t) = r (t \underset{―}{i} + \underset{―}{j} - λ \underset{―}{q} (t))$
Canonical Trochoid: $r = 1$
Cycloid: $λ = 1$
Velocity: ${\underset{―}{r}}^{'} (t) = r (\underset{―}{i} - λ \underset{―}{p} (t))$
Acceleration: ${\underset{―}{r}}^{″} (t) = r λ \underset{―}{q} (t)$

Generated: 31 Dec 1969, 21:00:00

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Base Path: /usr/local/

Glob Path: curves/Trochoid/1.0/0.5/0.0/400/*.svg

Python Listing: Trochoid.py.

class Trochoid(Cycloid):
    #Canonical
    r=1.0
    #Cycloid
    lambda=1.0
    
    def Trochoid(self,t):
        return Vector([
            t-self.lambda*sin(t),
            1.0-self.lambda*cos(t)
        ])*self.r
    
    def dTrochoid(self,t):
        return Vector([
            1.0-self.lambda*cos(t),
            self.lambda*sin(t)
        ])*self.r
    
    def d2Trochoid(self,t):
        return Vector([
            sin(t),
            cos(t)
        ])*self.r*self.lambda

< Cycloid | Parametrization | Regularity >