Research Article
A Fast Computational Method for the Minimum Duration Transfer Trajectories of Space-to-Ground Vehicles
Table 2
Initial values of the adjoint variables (partial) and the values of partial state variables at grid points.
| | | | | | | | | | | |
| 13 | 40.000 | 11.308 | 3.217 | -19.323 | 14.287 | 0.002 | 1.214 | 8.383 | -7.216 | 4505.6 |
| 13.5 | 40.159 | 11.209 | 3.289 | -19.306 | 14.293 | 0.154 | 1.361 | 8.352 | -7.142 | 4486.5 | 39.732 | 11.176 | 3.295 | -19.342 | 14.248 | -0.283 | 1.792 | 8.439 | -7.357 | 4509.3 |
| 14 | 40.280 | 11.159 | 3.348 | -19.289 | 14.204 | 0.259 | 1.472 | 8.330 | -7.092 | 4466.1 | 39.904 | 11.111 | 3.357 | -19.308 | 14.165 | -0.123 | 1.848 | 8.407 | -7.282 | 4486.2 | 39.137 | 11.042 | 3.374 | -19.383 | 14.086 | -0.887 | 2.618 | 8.559 | -7.667 | 4524.4 |
| 14.5 | 40.603 | 11.103 | 3.412 | -19.167 | 14.136 | 0.571 | 1.139 | 8.268 | -6.943 | 4438.9 | 40.216 | 11.057 | 3.419 | -19.216 | 14.095 | 0.181 | 1.527 | 8.347 | -7.137 | 4459.7 | 39.757 | 11.001 | 3.432 | -19.274 | 14.043 | -0.283 | 1.990 | 8.439 | -7.366 | 4483.0 | 39.059 | 10.931 | 3.447 | -19.351 | 13.966 | -0.991 | 2.688 | 8.580 | -7.718 | 4518.3 |
| 15 | 40.643 | 10.906 | 3.482 | -19.418 | 14.044 | 0.602 | 1.089 | 8.261 | -6.933 | 4425.6 | 40.311 | 10.875 | 3.488 | -19.456 | 14.004 | 0.269 | 1.424 | 8.328 | -7.101 | 4443.3 | 39.878 | 10.833 | 3.451 | -19.502 | 13.955 | -0.174 | 1.861 | 8.415 | -7.319 | 4466.2 | 39.125 | 10.752 | 3.469 | -19.587 | 13.870 | -0.928 | 2.615 | 8.568 | -7.697 | 4505.3 | 38.245 | 10.659 | 3.491 | -19.685 | 13.774 | -1.818 | 3.494 | 8.746 | -8.119 | 4550.3
|
| 15.5 | 40.727 | 10.518 | 3.540 | -19.775 | 13.948 | 0.678 | 0.996 | 8.246 | -6.902 | 4410.2 | 40.413 | 10.471 | 3.579 | -19.824 | 13.914 | 0.362 | 1.313 | 8.309 | -7.061 | 4427.3 | 39.758 | 10.401 | 3.604 | -19.896 | 13.847 | -0.301 | 1.969 | 8.442 | -7.391 | 4460.4 | 39.218 | 10.342 | 3.619 | -19.961 | 13.780 | -0.845 | 2.511 | 8.553 | -7.664 | 4488.8 | 38.365 | 10.248 | 3.642 | -20.060 | 13.686 | -1.699 | 3.364 | 8.724 | -8.089 | 4531.4 |
| 16 | 40.830 | 10.414 | 3.651 | -19.836 | 13.859 | 0.769 | 0.880 | 8.227 | -6.862 | 4393.6 | 40.487 | 10.377 | 3.659 | -19.871 | 13.823 | 0.423 | 1.225 | 8.297 | -7.035 | 4411.5 | 39.873 | 10.313 | 3.674 | -19.941 | 13.756 | -0.188 | 1.843 | 8.422 | -7.345 | 4442.5 | 39.258 | 10.246 | 3.689 | -20.012 | 13.685 | -0.796 | 2.461 | 8.546 | -7.654 | 4474.4 | 38.607 | 10.174 | 3.706 | -20.091 | 13.613 | -1.452 | 3.117 | 8.677 | -7.983 | 4506.7 |
| 16.5 | 40.578 | 10.287 | 3.730 | -19.917 | 13.734 | 0.504 | 1.120 | 8.280 | -7.000 | 4394.8 | 40.192 | 10.247 | 3.739 | -19.964 | 13.690 | 0.115 | 1.508 | 8.358 | -7.196 | 4414.6 | 39.558 | 10.181 | 3.754 | -20.037 | 13.618 | -0.517 | 2.146 | 8.486 | -7.515 | 4446.3 | 38.879 | 10.109 | 3.770 | -20.117 | 13.543 | -1.199 | 2.832 | 8.623 | -7.856 | 4480.8 |
| 17 | 40.260 | 10.157 | 3.804 | -20.013 | 13.596 | 0.175 | 1.431 | 8.346 | -7.171 | 4379.4 | 39.821 | 10.108 | 3.810 | -20.060 | 13.553 | -0.269 | 1.873 | 8.434 | -7.390 | 4402.5 | 39.372 | 10.059 | 3.822 | -20.114 | 13.508 | -0.721 | 2.324 | 8.525 | -7.615 | 4425.7 | 38.877 | 10.007 | 3.832 | -20.171 | 13.454 | -1.220 | 2.824 | 8.624 | -7.864 | 4451.6 |
| 17.5 | 39.827 | 10.010 | 3.881 | -20.119 | 13.459 | -0.278 | 1.860 | 8.435 | -7.399 | 4329.4 | 39.546 | 9.985 | 3.888 | -20.150 | 13.427 | -0.565 | 2.143 | 8.492 | -7.540 | 4343.6 | 38.931 | 9.913 | 3.903 | -20.223 | 13.364 | -1.012 | 2.763 | 8.616 | -7.849 | 4374.5 |
| 18 | 39.588 | 9.882 | 3.957 | -20.196 | 13.333 | -0.513 | 2.090 | 8.485 | -7.528 | 4310.4 | 38.896 | 9.814 | 3.973 | -20.272 | 13.262 | -1.210 | 2.785 | 8.624 | -7.876 | 4345.7 |
| 18.5 | 39.274 | 9.753 | 4.038 | -20.459 | 13.201 | -0.838 | 2.396 | 8.551 | -7.697 | 4315.3 |
| 19 | 39.072 | 9.726 | 4.096 | -20.613 | 13.076 | -1.051 | 2.589 | 8.594 | -7.808 | 4315.7 |
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In Table 2, the units of , , , and are °, °, km/s, ° and s respectively. |