payload_trajectory_solver

How to use it

In the core_math.py there are:

• SimulationEnvironment class for setting the constants and wind
• simulate_drop function for basic trajectory calculation
• DropSolver class for finding optimal drop position by using displacement
• ShootingSolver class that uses minimize from scipy - useful if the wind depends on x,y (e.g. terrain)

Dev tools

• poetry
• ruff

Update after meeting

Payload

1. length 50.5mm, diameter 120mm, mass 150g
2. length 140mm, diameter 65mm, mass 255g Shape more or less cylindrical, first beacon, second bottle of water

Parachute

Import new consideration is that we drop payload wirh parachute. Diameter 45cm By KLIMA (german firm)

Probable initial condition

• drop altitude 60m
• airplane speed 23m/s

other input

• wind vector
• wind profile
• air density
• mechanism latency

Simulation goal

Find the optimal drop position to reach the target

How it will work

1. the parachutes needs time to open and start working, in this phase the payload is moving nearly horizontally with ~23m/s speed
2. parachutes works as a gigantic air brake, which completely slows down the horizontal velocity
3. now the main mover of the payload is wind, with it the payload drifts to the landing spot

How I simulate it

1. from t=0s to t= ~1.5s (we have to find out during tests how long it takes for parachute to open)

• cd and refernce area of payload

2. somewhere between transition
3. from t= ~1.5s to landing

• cd and refernce area of parachute Trajectory calculated using rk4

What we need to find out during tests:

opening time, cd for payload and parachute this parameters should we setup in this way that the simualtion gives sensible prediction of where we should drop to reach the target