How to model flight of simple parachute in 2D?

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SUMMARY

The discussion focuses on modeling the flight of a simple parachute in 2D, emphasizing the need for a formula to calculate the parachute's position, velocity, and glide angle over time. Key forces affecting the parachute's descent include Lift, Drag, and Weight, which influence its trajectory and steady-state glide characteristics. Participants suggest that the parachute's behavior can be represented mathematically, potentially resembling a sine wave as it stabilizes. Additionally, the impact of toggles and brakes on glide angle and speed introduces complexity, suggesting a pendulum-like effect during descent.

PREREQUISITES
  • Understanding of basic physics concepts such as Lift, Drag, and Weight
  • Familiarity with 2D motion equations
  • Knowledge of mathematical modeling techniques
  • Experience with simulation tools for physics modeling
NEXT STEPS
  • Research mathematical models for 2D projectile motion
  • Explore the effects of Lift and Drag coefficients on parachute dynamics
  • Learn about numerical simulation techniques for modeling motion over time
  • Investigate the impact of control surfaces on glide performance in parachute systems
USEFUL FOR

Aerospace engineers, physics students, and hobbyists interested in parachute design and simulation will benefit from this discussion.

callagga
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How would one model flight of simple parachute in 2D?

For example a formula(s) that would effectively allow you to map the parachute's position/velocity/glideAngle over time. I'm imaging dropping the parachute (consider in 2D only to make easier) and then it will be affected by forces Lift/Drag/Weight, and as these play out the parachute would over a number of seconds angle down, pick up forward speed, and then settle down into some steady state glide with a given speed and glide angle. So perhaps it would arrive at steady state kind of like a sine wave of reducing size as it settles down perhaps(?)

So I was hoping for a formula that gives something like:

position(x,y)/speed/glideAngle = function(time)


(Bonus extra would be effect of toggles/brakes that can be applied at various levels that affect glide angle & speed, but this might be quite complicate as it causes a time based pendulum effect to the parachute too...)

canopy_diagram.jpg
 
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these don't help unfortunately
 

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