Perform analysis on the expected battery consumption based on hypothetical flight path trajectory.

Use the following input parameter:

• Drag Polar
• Mass Tally
• Thrust
• Distance

# Trajectory Study
# AMAT 2024-2025 AIAA DBF

# Outline
# Find the energy spent
    # E = integral(Power over time)
    # Cruise --> Thrust_x_dir = Drag
        # From the Drag, compute required Thrust
        # From Thrust, compute Power
            # Basic actuator disk/table Look up

# Assumptions for Cruise Flight: 
    # Cruise speed = 80 ft/s
    # Drag from Drag Polar (provided by Esther)
        # CL = 2pi(alpha - alpha_0)
    # Re = ~5e5 
    # L/D = ~7
    # Thrust = 2lbf (take off = max thrust)
    # Thrust --> Power (Table look up)
    # Energy = Int(power) = Power*(Distance/Velocity) for cruise
        # Intregate power over time
            # To find time --> 
                # find acceleration
                # find velocity change
                # find position change

# Assumptions for Turns:
    # Cruise Speed = 80 ft/s
    # Lift = load factor (n) * weight (W)
        # For 2g turn: n = 2 (60deg turn)
        # For 1.4g turn: n = sqrt(2) (45deg turn)
            # L = W/(cos(phi))
    # Get Cl from L
        # usually CL = ~0.5
    # Get Cd from Cl
    # Get Drag from Cd
        # AR = 6, e = 0.7
        # CD = CD0 + CL^2/(pi*e*AR)
            # Cl/(7) = CD0 + CL^2/(pi*e*AR)
            # CD0 --> Through OpenVSP
                # CD0 = ~0.052
    # get thrust from drag
    # get power from thrust
    # get distance from centripetal force
        # find Acceleration from bank angle (a = sin(phi))
        # from there you can find the radius (a = v^2/R = g*tan(phi))
        # r = v^2/(g*tan(phi)) --> pi*r = distance travel in half turn (x4)
            # make this turn as energy efficient as possible

# Tasks:
# write the following functions:
# Drag polar function ( given alpha, return CL and CD )
# A solver for the above function, given CL, return alpha and CD
	# Output: get a converged alpha based on required CL
		# From there, get a CD estimate

# A function for each segment (cruise section, half turn) given velocity
	# Find estimated total energy required complete one lap of the course (ideal conditions)