Research Article
Distribution Inference for Physical and Orbital Properties of Jupiter’s Moons
| | | | Beta | Birnbaum-Saunders | Gamma | Logistic | Nakagami | Normal | Rice | t location-scale | Weibull |
| | Semi-major axis (107 km) | p-value | 0.0012 | 0.1039 | 0.1069 | 0.2952 | 0.1092 | 0.1238 | 0.1125 | 0.373 | 0.1848 | | h | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | | parameters | = 4.22446
= 0.262587 | = 2.28804
= 0.068061 | = 222.433
= 0.0103103 | = 2.32
= 0.0823946 | = 57.3364
= 5.28181 | = 2.29334
= 0.154515 | = 2.28844
= 0.14977 | = 2.38241
= 0.0273627
= 0.730397 | = 2.35522
= 23.6908 |
| | Mean orbit velocity (103 km/h) | p-value | 9.38E-04 | 0.2085 | 0.2025 | 0.4015 | 0.1961 | 0.2048 | 0.1906 | null | 0.1794 | | h | 1 | 0 | 0 | 0 | 0 | 0 | 0 | null | 0 | | parameters | = 3.19406
= 0.286862 | = 8.27432
= 0.0465993 | = 455.023
= 0.0182041 | = 8.22803
= 0.226046 | = 112.484
= 68.7679 | = 8.28331
= 0.406311 | = 8.27394
= 0.393632 | The calculated Hessian is not positive definite. | = 8.48321
= 19.8563 |
| | Orbit eccentricity (10−1) | p-value | 0.0132 | 0.3639 | 0.5771 | 0.955 | 0.7272 | 0.9138 | 0.8914 | null | 0.9072 | | h | 1 | 0 | 0 | 0 | 0 | 0 | 0 | null | 0 | | parameters | = 0.766602
= 0.237408 | = 2.66229
= 0.426688 | = 6.69584
= 0.434085 | = 2.95251
= 0.599373 | = 2.02049
= 9.47173 | = 2.90656
= 1.04493 | = 2.68061
= 1.06913 | MLE did not converge. | = 3.24837
= 3.30468 |
| | Inclination of orbit (102°) | p-value | 0.5345 | 0.5633 | 0.5423 | 0.8987 | 0.5206 | 0.5002 | 0.5002 | 0.5004 | 0.2133 | | h | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | | parameters | = 554.177
= 3091.06 | = 1.5191
= 0.0389 | = 655.7110
= 0.0023 | = 1.5136
= 0.0339 | = 162.6092
= 2.3148 | = 1.5203
= 0.0599 | = 1.5191
= 0.0599 | = 1.5203
= 0.0599
= 5657176.32 | = 1.5508
= 23.9875 |
| | Equatorial radius (km) | p-value | 1.85E-04 | 0.0224 | 0.0377 | 0.0153 | 0.0139 | 0.0079 | 2.09E-08 | null | 0.0859 | | h | 1 | 1 | 1 | 1 | 1 | 1 | 1 | null | 0 | | parameters | = 0.203821
= 0.201972 | = 2.80607
= 1.20376 | = 0.770973
= 5.83678 | = 2.50052
= 2.9666 | = 0.242429
= 81.8925 | = 4.5
= 8.10876 | = 0.192009
= 6.39782 | The calculated Hessian is not positive definite. | = 3.69781
= 0.781648 |
| | Mass (1013 kg) | p-value | 0.0012 | 0.0051 | 0.0111 | 0.0047 | 0.0091 | 8.16E-04 | 4.36E-11 | null | 0.1096 | | h | 1 | 1 | 1 | 1 | 1 | 1 | 1 | null | 0 | | parameters | = 0.0820299
= 0.133182 | = 185.784
= 8.45355 | = 0.147015
= 17059.2 | = 722.941
= 2437.85 | = 0.0664969
= 6.36374E+7 | = 2507.97
= 7838.61 | = 215.387
= 5639.23 | The calculated Hessian is not positive definite. | = 72.5121
= 0.266585 |
| | Surface gravity ((m/s2)/102) | p-value | 9.34E-5 | 0.0186 | 0.0238 | 0.0139 | 0.0062 | 0.0055 | 2.15E-08 | null | 0.0594 | | h | 1 | 1 | 1 | 1 | 1 | 1 | 1 | null | 0 | | parameters | = 0.216072
= 0.206344 | = 0.232932
= 1.08145 | = 0.896179
= 0.390547 | = 0.205059
= 0.214293 | = 0.270001
= 0.44625 | = 0.35
= 0.587651 | = 0.0105316
= 0.472316 | The calculated Hessian is not positive definite. | = 0.309876
= 0.843794 |
| | Escape velocity (km/h) | p-value | 1.55E-04 | 0.0157 | 0.0296 | 0.0142 | 0.011 | 0.0074 | 2.39E-08 | null | 0.0722 | | h | 1 | 1 | 1 | 1 | 1 | 1 | 1 | null | 0 | | parameters | = 0.208766
= 0.203804 | = 12.9337
= 1.14416 | = 0.822159
= 24.4022 | = 11.3591
= 12.8644 | = 0.253336
= 1566.94 | = 20.0625
= 35.2429 | = 0.946989
= 27.9843 | The calculated Hessian is not positive definite. | = 17.0302
= 0.807236 |
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