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Advances in Astronomy
Volume 2018, Article ID 1894850, 15 pages
Research Article

Distribution Inference for Physical and Orbital Properties of Jupiter’s Moons

1School of Mathematical Science, Yangzhou University, Yangzhou 225002, China
2Department of Mathematics, Shanghai University, Shanghai 200444, China

Correspondence should be addressed to F. B. Gao; moc.anis@oabafoag

Received 4 June 2018; Revised 1 September 2018; Accepted 30 September 2018; Published 1 November 2018

Academic Editor: Geza Kovacs

Copyright © 2018 F. B. Gao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


According to the physical and orbital characteristics in Carme group, Ananke group, and Pasiphae group of Jupiter’s moons, the distributions of physical and orbital properties in these three groups are investigated by using one-sample Kolmogorov–Smirnov nonparametric test. Eight key characteristics of the moons are found to mainly obey the Birnbaum–Saunders distribution, logistic distribution, Weibull distribution, and t location-scale distribution. Furthermore, for the moons’ physical and orbital properties, the probability density curves of data distributions are generated; the differences of three groups are also demonstrated. Based on the inferred results, one can predict some physical or orbital features of moons with missing data or even new possible moons within a reasonable range. In order to better explain the feasibility of the theory, a specific example is illustrated. Therefore, it is helpful to predict some of the properties of Jupiter’s moons that have not yet been discovered with the obtained theoretical distribution inference.