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Table 2.
Basic statistical properties (minimum, average, and maximum) of the in-plane distance error ϵ of the two approximate algorithms, meaning, 
and 
, at different expansion orders.
| In-plane distance errors (au) |
||||||||
|---|---|---|---|---|---|---|---|---|
 |
 |
|||||||
| N | 0 | 2 | 4 | 6 | 0 | 2 | 4 | 6 |
| ϵmin | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| ϵave | 6.98 × 10−5 | 6.38 × 10−6 | 8.39 × 10−10 | 4.90 × 10−13 | 1.75 × 10−6 | 3.78 × 10−13 | 2.49 × 10−16 | 2.23 × 10−16 |
| ϵmax | 1.40 × 10−4 | 1.40 × 10−4 | 1.30 × 10−8 | 7.61 × 10−12 | 3.49 × 10−5 | 6.26 × 10−12 | 3.55 × 10−15 | 3.55 × 10−15 |
Notes. Tests are executed on the elliptical orbit and the grid of points defined in the text. Comparisons are made with the true distance d.
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