Simulating the Spiralling Motion of a Coin on a Table

[sreenathb]

i am trying to simulate the spiralling motion of a coin that is rolled on a table.i am having three equations...
1. the gyroscopic moment equation.
2. the conservation of energy equation.
3. general kinematic equation.

three unknowns...curvature radius,precession velocity and coin inclination.
the equations i am getting are non-linear.can someine suggest me any numerical methods to solve these approximately.
i want those which can be easily programmed.i tried one which uses the jacobian..bit found that the solution was not converging.

anyone please help.

 

[Greg Bernhardt]

It sounds like you're trying to solve a difficult problem! Have you tried using numerical integration techniques, such as the Runge-Kutta method? This method is relatively easy to program, and can be used for non-linear equations. You could also look into the Euler method, which is a simpler numerical integration technique. Another option is to try a gradient-based optimization algorithm, such as Levenberg-Marquardt or Newton's Method. These may be able to help you find an approximate solution to your equations. Good luck!