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[GiF] Flight of Badminton Shuttlecocks

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Flight of Badmin...nb
POSTED BY: Mariusz Iwaniuk
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POSTED BY: Moderation Team

Yes, this is another gem from Mariusz NDSolveValue post series:

Rattleback or Celtic Stone

Tippe Top Toy

Dzhanibekov Effect or tennis racket theorem

Flight of boomerang

Thanks for sharing these! :)
POSTED BY: Bernat Espigulé
POSTED BY: Matthias Odisio

I've never played in Badminton.What is spinnig net shot!. I searched a bit and after Googling and here is the resulting simulation. I hope I understand what is it. :)

enter image description hereenter image description here

Attachments:
Flight of Badmin...nb
POSTED BY: Mariusz Iwaniuk

Well that's close! The key is to have the shuttle stabilize only after it goes over the net and thus forcing the opponent to hit the shuttle low. This video in Chinese shows such trajectories in slow motion.

And since I'm having fun an I'm already asking too much, there's no limit anymore: the incoming shot would typically start from a higher altitude, say z[0] = 2, and would stabilize much farther from the net.
POSTED BY: Matthias Odisio

Also probably this is it too in English - but Matthias should confirm - I am no Badminton sage:

CE2M5V5 Forehand Spin Net Shot (In to Out)
POSTED BY: Vitaliy Kaurov

And here is a refined GIF from my link above:

enter image description here
POSTED BY: Vitaliy Kaurov
POSTED BY: Matthias Odisio

Another gem, thank you for sharing! Amazing how simple models couple to produce full dynamics - the shuttlecocks flip model and trajectory model - I hope I understood final equations correctly. But is the flip model is mathematically analogous to pendulum with friction?
POSTED BY: Vitaliy Kaurov

Got you right ,and is mathematically analogous to pendulum with air friction.

This second order differential equation for ? is one of a damped oscillator. The square of pulsation

enter image description here

corresponds to the stabilizing torque generated by the aerodynamic drag.The damping term

enter image description here

results from the drag associated with the orthoradial movement of the shuttlecock as ? varies.

Oscillating time approximation provides to:

enter image description here
POSTED BY: Mariusz Iwaniuk
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