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-   -   Frisbee Trajectory Calculator (http://www.chiefdelphi.com/forums/showthread.php?t=113207)

oswaldonfire 10-02-2013 19:21

Frisbee Trajectory Calculator
 
One of our programming mentors whipped up this web-based trajectory calculator for the Frisbees used in this year's Ultimate Ascent game:

http://drjohnstechtalk.com/trajFrisbee/

Hopefully this proves helpful to other teams wanting to better understand the flight dynamics of a Frisbee and making shots in the three goals based on changing initial speed, shooter angle, and shooter height.

-Chris

Ether 10-02-2013 19:35

Re: Frisbee Trajectory Calculator
 
Quote:

Originally Posted by oswaldonfire (Post 1231177)
One of our programming mentors whipped up this web-based trajectory calculator for the Frisbees used in this year's Ultimate Ascent game:

http://drjohnstechtalk.com/trajFrisbee/

Quote:

This is based on the work The Aerodynamics of Frisbee Flight from the Undergraduate Journal of Mathemaical Modelling.
Link, please?


Quote:

The trajectory calculation runs until either the Frisbee reaches the goal height while travelling downwards...
Just wondering, why not upwards, too? From the videos I've seen, there will be a lot of "upwards" shooting.

Does your mentor ever participate on CD? I'm interested in his modeling approach and would like to know more about it.




Richard Wallace 10-02-2013 20:02

Re: Frisbee Trajectory Calculator
 
Quote:

Originally Posted by Ether (Post 1231183)
Link, please?

Maybe this is it?

oswaldonfire 10-02-2013 20:35

Re: Frisbee Trajectory Calculator
 
Quote:

Originally Posted by Richard Wallace (Post 1231213)
Maybe this is it?

Yep, that's it!

Ether 11-02-2013 13:41

Re: Frisbee Trajectory Calculator
 
Quote:

Originally Posted by Richard Wallace (Post 1231213)
Maybe this is it?

Hi Richard. Thanks for the link.

The calculator is based on that paper, which is in turn based on Morrison's paper.

Morrison's paper is wrong, I believe. His derivation for the force Fx is incorrect. He goes off the rails at Equation 12 where he says Fx is equal to Fd.... Fx is equal to Fd only for the special case when the velocity V is horizontal.

For the general case when V is not horizontal, Fx is the sum of components from Fd and Fl, as follows:

Fx = Fd*(Vx/V) - Fl*(Vy/V)



Ether 11-02-2013 15:07

Re: Frisbee Trajectory Calculator
 
Quote:

Originally Posted by Ether (Post 1231600)
...derivation for the force Fx is incorrect...

Just heard back from the author. He wrote that paper as a class assignment as an undergrad. It was never published.

He agrees Eq12 is wrong. So equations 13 thru 17 are also wrong, as is the simulation.

Baumback used those equations as the basis for her simulation, so it's wrong too.

Internet advice: caveat utilitor



cbale2000 11-02-2013 15:38

Re: Frisbee Trajectory Calculator
 
Pretty neat tool.

My only gripe is that your Shooter and Goal Height inputs are in feet, while the output distance and height is in meters. The added conversions makes the tool less than useful as a "quick reference" imo.


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