Table 6
Summary of correlations with diameter and geometric albedo.
| Without | Accounting for | |||||||
| Variables | Class | error bars | data error bars | |||||
|
|
|
|||||||
| n | ρ |
|
p | CL(%) | (σp) | |||
|
|
||||||||
| D vs. H | SDOs+DOs | 15 | −0.93 |
|
0.00244 | 99.8 | (3.03) | |
| SDOs+DOs* | 14 | −0.91 |
|
0.00989 | 99.0 | (2.58) | ||
| SDOs | 8 | −0.93 |
|
0.0281 | 97.2 | (2.20) | ||
| DOs | 7 | −0.86 |
|
0.243 | 75.7 | (1.17) | ||
|
|
||||||||
| D vs. rh | SDOs+DOs | 15 | 0.93 |
|
0.000001 | >99.9 | (4.91) | |
| SDOs+DOs* | 14 | 0.92 |
|
0.000010 | >99.9 | (4.42) | ||
| SDOs | 8 | 0.98 |
|
0.00134 | 99.9 | (3.21) | ||
| DOs | 7 | 0.71 |
|
0.0782 | 92.2 | (1.76) | ||
| DOs* | 6 | 0.54 |
|
0.256 | 74.4 | (1.14) | ||
|
|
||||||||
| D vs. q | SDOs+DOs | 15 | 0.81 |
|
0.000594 | >99.9 | (3.43) | |
| SDOs+DOs* | 14 | 0.78 |
|
0.00270 | 99.7 | (3.00) | ||
| SDOs | 8 | 0.81 |
|
0.0264 | 97.4 | (2.22) | ||
| DOs | 7 | 0.86 |
|
0.0512 | 94.9 | (1.95) | ||
| DOs* | 6 | 0.89 |
|
0.106 | 89.4 | (1.61) | ||
|
|
||||||||
| pV vs. H | SDOs+DOs | 15 | −0.88 |
|
0.000027 | >99.9 | (4.20) | |
| SDOs+DOs* | 14 | −0.85 |
|
0.000186 | >99.9 | (3.74) | ||
| SDOs | 8 | −0.81 |
|
0.036888 | 96.3 | (2.09) | ||
| DOs | 7 | −0.64 |
|
0.128142 | 87.2 | (1.52) | ||
|
|
||||||||
| pV vs. D | SDOs+DOs | 15 | 0.71 |
|
0.004045 | 99.6 | (2.88) | |
| SDOs+DOs* | 14 | 0.65 |
|
0.015648 | 98.4 | (2.42) | ||
| SDOs | 8 | 0.71 |
|
0.078503 | 92.1 | (1.76) | ||
| DOs | 7 | 0.25 |
|
0.483703 | 51.6 | (0.70) | ||
|
|
||||||||
| pV vs. rh | SDOs+DOs | 15 | 0.87 |
|
0.000126 | >99.9 | (3.83) | |
| SDOs+DOs* | 14 | 0.84 |
|
0.001327 | 99.9 | (3.21) | ||
| SDOs | 8 | 0.69 |
|
0.098781 | 90.1 | (1.65) | ||
| DOs | 7 | 0.68 |
|
0.105315 | 89.5 | (1.62) | ||
|
|
||||||||
| pV vs. q | SDOs+DOs | 15 | 0.75 |
|
0.003965 | 99.6 | (2.88) | |
| SDOs+DOs* | 14 | 0.71 |
|
0.010510 | 98.9 | (2.56) | ||
| SDOs | 8 | 0.48 |
|
0.251698 | 74.8 | (1.15) | ||
| DOs | 7 | 0.25 |
|
0.430091 | 57.0 | (0.79) | ||
|
|
||||||||
| pV vs. a | SDOs+DOs | 15 | 0.24 |
|
0.449038 | 55.1 | (0.76) | |
|
|
||||||||
| pV vs. e | SDOs+DOs | 15 | −0.41 |
|
0.154918 | 84.5 | (1.42) | |
|
|
||||||||
| pV vs. i | SDOs+DOs | 15 | 0.05 |
|
0.769100 | 23.1 | (0.29) | |
|
|
||||||||
| rh vs. q | SDOs+DOs | 15 | 0.81 |
|
0.000084 | >99.9 | (3.93) | |
Notes. Spearman-rank correlation tests given the main correlations
between the various magnitudes. * Indicates that Eris is excluded.
n: number of data points. ρ: Spearman-rank
correlation without data error bars. : Spearman-rank correlation
accounting for data error bars. p: significance
p-value of the correlation. CL(%): confidence
level defined as (1-p)·100%.
σp: Gaussian-σ
equivalent to the significance p-value (see Appendix B for
details). D: diameter. rh:
heliocentric distance at the time of observation. a: orbital
semi-major axis. e: orbital eccentricity. i:
orbital inclination with respect to the ecliptic plane. q:
perihelion. pV:
V-band geometric albedo. The last line shows that
rh and q are strongly correlated in
our sample.
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