This button invokes the differential corrections scheme algorithm to find the actual initial conditions of a periodic orbit around the selected libration point using the seed initial conditions on the left side of the panel under "Differential Corrections Scheme Seed".The actual initial conditions found by the algorithm are then displayed on the right side of the panel under "Differential Corrections Scheme Result". The seed and result fields are shown below, along with the corresponding fields which display the period of the seed and actual orbits.
There are 3 basic methods for providing seed initial conditions:
The seed comes from a method for approximating
orbits around the libration points presented in a paper by D.L. Richardson. More detailed information
on the mathematics of the approximation
is available in our technical web material.