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#Euler
# Cd = (m*Cg*0.0014223)/((BC)*d^2)
# my'' = -1/2*Rho_Air*Cd*Ac*y^2


Class Trajectory(velocity,bullet,elevation,windage,velocityunit)
    -velocity(int) default unit m/s unless units = 'imp' then fps
    -bullet(dict):
        bullet contains bullet characteristics in following format
            bullet_stats = {
                "bullet_grains":165,
                "ballistic_coefficient":0.48,
                "bullet_diameter":0.00762,
                "air_density":0.707,
                "drag_coefficient":0.1,
                "cross_area":0.000192
            }
    -elevation(float) in mils
        -used to calculate the default trajectory when calling Trajectory.trajectoryGraph()
    -windage(float) in mils
        -used to calculate the default trajectory when calling Trajectory.trajectoryGraph()
    -velocityunit(string)
        if units == 'mps':
            converts velocity from fps to m/s
        else:
            leaves velocity in m/s

Trajectory.crosswind(int) defaults 0
    -sets crosswind speed in simulation
        if using units == 'imp' use MPH
        default unit is m/s

Trajectory.windDirection(int) defaults 0
    -sets wind direction in degrees CCW starting from 0degrees [Wind blowing from right to left]
     to 360degrees.
    ie: Trajectory.windDirection = 180 #sets wind direction from left to right

Trajectory.simTime(int)
    -sets the runtime for the simulation, recommended < 2 seconds

Trajectory.time_interval(float)
    -sets the time interval between steps in simulation, recommended 0.01

Trajectory.graphUnits(elevation, distance)
    Converts units on trajectory graph axes to desired units (default unit meters)
    -elevation(string) desired units for elevation & windage axes on trajectory graph [defaults m]
        options: 'in', 'cm', 'ft', 'yd'
    -distance(string) desired units for distance axis on trajectory graph [default unit meters]
        options: 'mile','km','yd'

Trajectory.trajectoryGraph(displayGraph,plot3D)
    Creates a plot of the trajectory graph based on bullet characteristics and initial windage, elevation, and wind characteristics
    -displayGraph(boolean)
       trajectoryGraph can be called without displaying the trajectory graph by setting displayGraph = False
    -plot3D(boolean) defaults to False
        plot3D = True shows bullet trajectory in a 3D plot

Trajectory.calculation(distance,unit,plot3D)
    Calculates mil / moa adjustments based on environment and ballistic parameters
    -distance(int) default unit m
        distance to target
    -unit(string)
        units of distance, default unit meters
        if unit is set to 'yd', uses distance in yards
    -plot3D(boolean) defaults to False
        displays graph in 3D plot if plot3D == True

Trajectory.shotProbability(distance,unit,SD_velocity,SDWind_velocity,SDWind_angle,simNumber,trajectoryPaths=False)




Statistical Deviation
-distance to target
-SD of velocity
-SD of wind velocity
-SD of wind angle
-list POI data
    -list holding POI Y,Z coord data
    [[y1,z1],[y2,z2]]

Velocity:
V_estimate = prediction
Vmin = V_estimate - SD_v
Vmax = V_estimate + SD_v
V = (random_int(0,1000)/1000.0)*(Vmax-Vmin)+Vmin

Wind Velocity:
WindV_estimate = prediction
WindVmin = WindV_estimate - SDWind_v
WindVmax = WindV_estimate + SDWind_v

Wind Angle:
WindA_estimate = prediction
WindA_min = WindA_estimate - SDWind_a
WindA_max = WindA_estimate + SDWind_a

MOA = 1/60 degree
x = dist*tan(1/60)

2.91cm at 100m
0.0291m at 100m
1.1457in at 100m

Add realistic Cd values for drag
Build GUI