import numpy as np
g = 9.806
degree_to_rad = 0.01745329252
M=2*(10**30)
G=6.7*(10**-11)

colors = {
    'red': (255, 0, 0),
    'yellow': (255, 255, 0),
    'magenta': (255, 0, 255),
    'cyan': (0, 255, 255),
    'orange': (255, 165, 0),
    'gray': (128, 128, 128),
    'green': (0, 255, 0),
    'blue': (0, 0, 255),
    'black': (0, 0, 0)
}


def toRadian(angle):
    return degree_to_rad*angle

def toAngle(radian):
    return radian/degree_to_rad
fab8c786cefdf81f0c04eff17064459e0e82d4f2
<mask token>


def toRadian(angle):
    return degree_to_rad * angle


<mask token>

<mask token>


def toRadian(angle):
    return degree_to_rad * angle


def toAngle(radian):
    return radian / degree_to_rad

<mask token>
g = 9.806
degree_to_rad = 0.01745329252
M = 2 * 10 ** 30
G = 6.7 * 10 ** -11
colors = {'red': (255, 0, 0), 'yellow': (255, 255, 0), 'magenta': (255, 0, 
    255), 'cyan': (0, 255, 255), 'orange': (255, 165, 0), 'gray': (128, 128,
    128), 'green': (0, 255, 0), 'blue': (0, 0, 255), 'black': (0, 0, 0)}


def toRadian(angle):
    return degree_to_rad * angle


def toAngle(radian):
    return radian / degree_to_rad

import numpy as np
g = 9.806
degree_to_rad = 0.01745329252
M = 2 * 10 ** 30
G = 6.7 * 10 ** -11
colors = {'red': (255, 0, 0), 'yellow': (255, 255, 0), 'magenta': (255, 0, 
    255), 'cyan': (0, 255, 255), 'orange': (255, 165, 0), 'gray': (128, 128,
    128), 'green': (0, 255, 0), 'blue': (0, 0, 255), 'black': (0, 0, 0)}


def toRadian(angle):
    return degree_to_rad * angle


def toAngle(radian):
    return radian / degree_to_rad

import numpy as np
g = 9.806
degree_to_rad = 0.01745329252
M=2*(10**30)
G=6.7*(10**-11)

colors = {
    'red': (255, 0, 0),
    'yellow': (255, 255, 0),
    'magenta': (255, 0, 255),
    'cyan': (0, 255, 255),
    'orange': (255, 165, 0),
    'gray': (128, 128, 128),
    'green': (0, 255, 0),
    'blue': (0, 0, 255),
    'black': (0, 0, 0)
}


def toRadian(angle):
    return degree_to_rad*angle

def toAngle(radian):
    return radian/degree_to_rad