Dataset of two-impulse Earth–Moon transfers in a four-body model

The Dataset.mat file contains data of all two-impulse Earth–Moon transfers in a four-body model generated in

Topputo, F., "On optimal two-impulse Earth–Moon transfers in a four-body model". Celestial Mechanics & Dynamical Astronomy, 117, 279–313 (2013). https://doi.org/10.1007/s10569-013-9513-8

The journal article and its supplementary material file are also provided.

In Dataset.mat, each row represents a solution entry, with the elements:

Solution achieved after MS optimization

1) Transfer cost [adimensional]

2) Transfer time [adimensional]

3) n (multiple shooting nodes)

4) ExitFlag (output of the optimization, see Matlab's fmincon)

5) Boundary Condion Error (constraints violation, see Matlab's fmincon)

6) t0 (initial time) [adimensional]

7) tf (final time) [adimensional]

8-11) Initial state (x0, y0, xv0, yv0) [adimensional]

12-15) Final state (xf, yf, xvf, yvf) [adimensional]

Initial guess prior MS optimization

16) alpha (angle on departure circular orbit) [adimensional]

17) vcoeff (initial velocity coefficient) [adimensional]

18) t0 (initial time) [adimensional]

19) dt (time of flight) [adimensional]

To reproduce the solutions in the dataset it is enough to integrate the initial conditon (x0, y0, xv0, yv0) from the intilal time (t0) to the final time (tf) with the equations of motion given in the paper. Note: the instantaneous Sun angle is ωs * t.

Refer to the paper for the detailed description of all parameters and constants adopted to generate the dataset of solutions.