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Table 6.

Values of the orbital similarity thresholds calculated for the synthetic samples obtained by KD and ME methods.

M ME0 ME1 ME4 KD10 KDns
2 0.0013 0.0022 0.0012 0.0029 0.0015
3 0.0061 0.0086 0.0051 0.0105 0.0069
4 0.0105 0.0139 0.0089 0.0165 0.0114
5 0.0138 0.0176 0.0117 0.0198 0.0143
6 0.0161 0.0206 0.0140 0.0225 0.0166
7 0.0181 0.0223 0.0158 0.0242 0.0181
8 0.0204 0.0238 0.0173 0.0257 0.0196
9 0.0217 0.0253 0.0186 0.0268 0.0207
10 0.0230 0.0264 0.0198 0.0280 0.0217
DSH 11 0.0238 0.0274 0.0207 0.0290 0.0226
12 0.0246 0.0284 0.0216 0.0297 0.0233
13 0.0254 0.0291 0.0224 0.0303 0.0239
14 0.0263 0.0298 0.0229 0.0310 0.0243
15 0.0271 0.0304 0.0234 0.0316 0.0248
16 0.0277 0.0310 0.0239 0.0319 0.0252
17 0.0281 0.0313 0.0243 0.0323 0.0255
18 0.0285 0.0318 0.0248 0.0327 0.0259
19 0.0289 0.0322 0.0253 0.0330 0.0263
20 0.0292 0.0325 0.0257 0.0333 0.0266
2 0.0039 0.0056 0.0037 0.0060 0.0036
3 0.0174 0.0204 0.0169 0.0209 0.0154
4 0.0277 0.0306 0.0263 0.0307 0.0240
5 0.0357 0.0385 0.0339 0.0369 0.0299
6 0.0425 0.0435 0.0383 0.0409 0.0337
7 0.0460 0.0481 0.0422 0.0442 0.0368
8 0.0488 0.0509 0.0452 0.0472 0.0401
9 0.0513 0.0532 0.0476 0.0493 0.0417
10 0.0531 0.0555 0.0501 0.0509 0.0434
DH 11 0.0552 0.0573 0.0517 0.0525 0.0448
12 0.0569 0.0591 0.0531 0.0537 0.0457
13 0.0588 0.0606 0.0544 0.0550 0.0467
14 0.0602 0.0617 0.0555 0.0560 0.0480
15 0.0614 0.0625 0.0564 0.0569 0.0488
16 0.0622 0.0636 0.0574 0.0576 0.0495
17 0.0630 0.0644 0.0580 0.0585 0.0501
18 0.0640 0.0654 0.0586 0.0592 0.0509
19 0.0649 0.0662 0.0595 0.0598 0.0515
20 0.0656 0.0669 0.0604 0.0606 0.0521
2 0.0012 0.0020 0.0012 0.0028 0.0015
3 0.0056 0.0073 0.0046 0.0099 0.0073
4 0.0081 0.0107 0.0073 0.0145 0.0113
5 0.0103 0.0133 0.0095 0.0178 0.0138
6 0.0121 0.0149 0.0108 0.0202 0.0154
7 0.0133 0.0162 0.0119 0.0215 0.0169
8 0.0143 0.0170 0.0128 0.0225 0.0180
9 0.0150 0.0177 0.0135 0.0235 0.0189
10 0.0158 0.0184 0.0140 0.0243 0.0194
ρ1 11 0.0163 0.0191 0.0146 0.0251 0.0200
12 0.0168 0.0196 0.0151 0.0256 0.0207
13 0.0172 0.0199 0.0154 0.0262 0.0211
14 0.0176 0.0203 0.0157 0.0266 0.0215
15 0.0179 0.0206 0.0160 0.0271 0.0219
16 0.0182 0.0209 0.0163 0.0274 0.0222
17 0.0184 0.0211 0.0165 0.0276 0.0225
18 0.0188 0.0213 0.0168 0.0279 0.0228
19 0.0191 0.0216 0.0170 0.0282 0.0232
20 0.0193 0.0218 0.0173 0.0284 0.0235

Notes. The thresholds correspond to each group of M = 2, 3, …20 members and for each distance function DSH, DH, and ρ1. The provided values are closely related to the single-linkage cluster analysis method and the size of the synthetic samples used. In this study, we used 29 014 orbits.

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