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Fix headings in notebook.
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bluescarni committed Nov 6, 2023
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"id": "cf5bb43b",
"metadata": {},
"source": [
"Pseudo arc-length continuation in the CR3BP\n",
"=====================================\n",
"# Pseudo arc-length continuation in the CR3BP\n",
"\n",
"In this example we will refine the basic continuation scheme used in [Continuation of Periodic Orbits in the CR3BP](<./Periodic orbits in the CR3BP.ipynb>) and use instead, as continuation parameter, the [pseudo arc-length](https://en.wikipedia.org/wiki/Numerical_continuation#Pseudo-arclength_continuation) to obtain the family of Lyapunov orbits around L1.\n",
"\n",
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"id": "a58f836c",
"metadata": {},
"source": [
"# Corrector\n",
"## Corrector\n",
"We want to find $\\delta \\underline{\\mathbf y} = [\\delta \\underline{\\mathbf{x}}, \\delta T]$ so that the system of equations (2), reported again below for convenience, is satisfied:\n",
"$$\n",
"(2)\n",
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"id": "fa3b5947",
"metadata": {},
"source": [
"# Producing the whole Lyapunov family\n",
"## Producing the whole Lyapunov family\n",
"We now use the code produced above to continue to a whole orbit family. We start defining an initial periodic orbit (around L1) and the starting point."
]
},
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