**
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:

- Enter a desired approximate Z amplitude in the
Approximate Radius of Desired Orbit field

and press the Compute Seed button

- Enter the seed initial conditions into the appropriate fields manually

- Copy the actual initial conditions computed by the last press of the Compute Orbit I.C.'s
Button by pressing the
Copy Result to Seed button

then increment/decrement the amplitude z(0) slightly to produce a new seed for an orbit of incremented/decremented amplitude

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.

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