Table 3.
Execution times per in-plane distance determination as obtained with the approximate algorithms 
and 
at different expansion orders (Cols. 2–9) and the computing time required by the exact distance determination d (Col. 10).
| Execution times per in-plane distance determination (ns) |
|||||||||
|---|---|---|---|---|---|---|---|---|---|
 |
 |
d | |||||||
| N | 0 | 2 | 4 | 6 | 0 | 2 | 4 | 6 | (∞) |
| #1 | 10.804 | 10.788 | 10.893 | 11.498 | 10.900 | 10.966 | 10.943 | 10.933 | 121.82 |
| #2 | 10.938 | 10.981 | 10.959 | 10.962 | 10.954 | 10.932 | 10.913 | 11.086 | 122.60 |
| #3 | 10.970 | 10.875 | 10.806 | 10.908 | 10.991 | 10.905 | 10.947 | 12.120 | 123.66 |
| #4 | 10.898 | 10.798 | 10.901 | 11.077 | 10.970 | 10.829 | 10.796 | 11.584 | 122.95 |
| #5 | 11.011 | 10.766 | 11.328 | 11.170 | 10.801 | 10.968 | 10.933 | 11.757 | 121.53 |
| #6 | 10.981 | 10.786 | 11.275 | 10.955 | 10.804 | 10.952 | 10.812 | 10.917 | 124.17 |
| #7 | 10.867 | 11.213 | 10.789 | 11.766 | 10.868 | 10.887 | 10.808 | 10.948 | 122.75 |
| #8 | 10.956 | 10.940 | 10.947 | 10.916 | 10.798 | 10.834 | 10.815 | 10.795 | 121.71 |
| #9 | 10.844 | 10.994 | 10.934 | 11.499 | 10.810 | 10.784 | 11.509 | 10.904 | 121.47 |
| #10 | 10.783 | 11.551 | 11.264 | 11.660 | 10.833 | 10.707 | 10.987 | 11.225 | 122.96 |
| Mean | 10.905 | 10.969 | 11.010 | 11.241 | 10.873 | 10.876 | 10.946 | 11.227 | 122.56 |
| Std. dev. | 0.078 | 0.246 | 0.201 | 0.332 | 0.076 | 0.087 | 0.210 | 0.444 | 0.92 |
| Mean | 8.90 | 8.95 | 8.98 | 9.17 | 8.87 | 8.87 | 8.93 | 9.16 | 100.0 |
| ratio (%) | |||||||||
Notes. Tests are executed on the elliptical orbit and the grid of points defined in the text. The two rows before the last provide the statistics of 10 samples obtained from a set of 12 elements after discarding the largest and the smallest. The last row includes the ratio of each mean to the highest.
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