12 June, 2026

Notes

2026-10-30

On implementation of Hénon-Heiles

• I need to check for error in the explore.jl for bugs
• I want to have a menu that allows me to observe all parameters

Describing the error

• the issue arises for a parameter of \(\alpha=2\), where in contrast \(\alpha=1\) works fine.
  • I am orientating myself on hénon-heiles paper (\(\alpha=2\), \(E=0.08333\))
  • looking at the potential energy plot

potential energy

Left: a 3D and right a contour plot of the Hénon-Heiles potential.

Parameters

Parameter	Value	Units	Description
\(\alpha\)	2.0	—	Non-linear coupling strength
\(m\)	1.0	kg	Mass
\(\omega\)	1.0	1/s	Harmonic oscillator frequency

• think of the units (\(\alpha\)) and the units of the scales