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Hénon-Heiles Poincare Model

computes the solutions to the non-linear Hénon-Heiles Hamiltonian.


Last Week downloads: 0
Total downloads: 123
  • Last Updated: Dec 1, 2010
  • License: Freeware Free
  • OS: Windows XP/2000/98
  • Requirements: Java Runtime Environment1.4 or higher

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For Hénon-Heiles Poincare Model Publisher's description


Hénon-Heiles Poincare Model is a Photo & Image software developed by Juan Aguirregabiria. After our trial and test, the software is proved to be official, secure and free. Here is the official description for Hénon-Heiles Poincare Model:

Edit By BS Editor: The Ejs Hénon-Heiles Poincare model computes the solutions to the non-linear Hénon-Heiles Hamiltonian, which reads, ½ (px2 + py2 + x 2 + y2) + x2y – y3/3. The simulation displays a three-dimensional plot of phase space for the y dimension and the projection of the plane where x = 0 showing the Poincare section. The evolution parameters can be changed via textboxes. You can modify this simulation if you have Ejs installed by right-clicking within the plot and selecting "Open Ejs Model" from the pop-up menu item.

This simulation explores the solution of the Hamiltonian used by Hénon and Heiles to study the motion of a Star in a galaxy: H = ½ (px2 + py2 + x2 + y2) + x2 y - y3/3
Since it has two degrees of Freedom, the phase-space has Dimension 4. To get a three-dimensional dynamical system we choose for each value of the conserved energy the corresponding energy surface.

* The initial value for x is always 0. You can select below (in the corresponding edit boxes or by using the mouse in the plane x = 0) the initial values y and py. The initial value for px is automatically computed by the program to make sure H = E for the energy value E selected in the corresponding edit box.

* The simulation will display on the left a projection of the three-dimensional orbit (x,y,py) on the energy surface and on the right the (y,py) coordinates of the solution points at which x = 0. The green points are the Border of the intersection of the energy surface and the (y,py) plane. Attempting to choose initial values outside the energy surface will issue an error message.

* The point of view of the three-dimensional projection can be changed with the mouse.

* The whole image can be moved with the mouse while pressing Ctrl.
* To change the zoom in the projections, press Shift when moving up or down the mouse pointer.
* Put the mouse pointer over an element to get information about
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