# -*- coding: utf-8 -*-
"""
Created on Wed Aug 31 12:48:07 2016

@author: vx
"""

import matplotlib.pyplot as plt
import math
def frange(start, stop, step):
    L=[]
    i = start
    while i <= stop:
        L.append(i)
        i += step
    return L

def plot_series(radius,time_step,time):
    p=[0]
    c=[0]
    s=[0]
    j=[0]
    a=[0]
    v=[0]
    x=[.01]
    step_ser=frange(.001,time,time_step)
    for i in step_ser:
        a.append(2*math.cos(math.pi*22.03/180)*.0018/(85.1*radius*x[-1]))
        v.append(v[-1]+a[-1]*time_step)
        x.append(x[-1]+v[-1]*time_step)
        j.append((a[-1]-a[-2])/time_step)
        s.append((j[-1]-j[-2])/time_step)
        c.append((s[-1]-s[-2])/time_step)
        p.append((c[-1]-c[-2])/time_step)
    return step_ser,x,v,a,j,s,c,p
    #      0        1 2 3 4 5 6 7
def plot():
    ser= plot_series(.005,.00001,2.2)
    beginning_offset=1000
    x=ser[0][1+beginning_offset:]
    y=ser[6][2+beginning_offset:]

    fig = plt.figure()
    fig.canvas.set_window_title('Velocity')
    plt.scatter(x, y)
    plt.show()

plot()