Creating Lyapunov orbits Restricted 3 Body problem
Numerical Bifurcation Analysis Toolbox in Matlab
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I wanted to develop Lyapunov(in planar case) /Halo orbits for restricted three body problem using matcont, which I have done using matlab already. where we take help of ODE events function and state transition matrix(STM) of the system to perform differential correction process to obtain the initial condition and then propagate to obtained the orbits and family. However , to obtain the same in Matcont (Note: the problem is point boundary valued) I am not able to figure out how to supply the final condition and perform same process , do I have to write the STM along with Eequations of motion ? or how
I am not quick at giving up, but you need multiple 2P-BVPs, and that is not easily achieved within MatCont.
The two-point BVPs we support concerns periodic and connecting orbits involving a single orbit piece not multiple.
But you may give it a try with the toolbox coco
Hil Meijer
From: Karthi Ramachandran karthi2928@users.sourceforge.net
Sent: Tuesday, April 23, 2019 11:52 AM
To: [matcont:discussion]
Subject: [matcont:discussion] Creating Lyapunov orbits Restricted 3 Body problem
I wanted to develop Lyapunov(in planar case) /Halo orbits for restricted three body problem using matcont, which I have done using matlab already. where we take help of ODE events function and state transition matrix(STM) of the system to perform differential correction process to obtain the initial condition and then propagate to obtained the orbits and family. However , to obtain the same in Matcont (Note: the problem is point boundary valued) I am not able to figure out how to supply the final condition and perform same process , do I have to write the STM along with Eequations of motion ? or how
Creating Lyapunov orbits Restricted 3 Body problem
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