Analyzing the Trajectory of a Flying Disc: Factors and Possibilities

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SUMMARY

Determining the trajectory of a flying disc, such as a frisbee, involves complex three-dimensional analysis influenced by its dimensions, rotation, initial velocity, and angle of attack. Analytical solutions are challenging due to pressure variations in both the transverse (xy) and vertical (z) directions, which affect the disc's path and lift. Simplifications can be made by assuming constant height and applying Bernoulli's principle to analyze pressure differences, provided the Reynolds Number is sufficiently large. This topic is not trivial and requires a solid understanding of fluid dynamics.

PREREQUISITES
  • Understanding of fluid dynamics principles, particularly Bernoulli's equation
  • Knowledge of three-dimensional motion and trajectory analysis
  • Familiarity with the concept of Reynolds Number
  • Basic physics of lift and drag forces
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Gonzolo
Hi,

I'm wondering how difficult it would be to exactly determines a flying disc's trajectory given it's dimensions, rotation, initial velocity and angle of attack.

Can this be done analytically?

What if the lateral angle is also varied? (freesbie not parallel to ground as viewed by person who throws)

Thanks.
 
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I'm not sure it can be solved analytically. The problem is clearly tridimensional. Pressure variations in trasnversal direction due to the rotation will make the freesbie taking a curved path in a plane xy.

Also, pressure variations in z direction will enhance the lifting force of the freesbie. But in some way it can be simplified supposing the height doesn't vary. And you can simplify the transversal (x,y) movement working out the pressure differences between the inner part and the outer part of the freesbie using Bernoulli if the Reynolds Number is enough larger.

I think that's not a trivial problem at all.
 

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