Abstract

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.

Highlights

  • IntroductionThere are 69 (the number has been refreshed to 79 by a team from Carnegie Institution for Science in July 2018. https:// sites.google.com/carnegiescience.edu/sheppard/moons/jupitermoons) confirmed moons of Jupiter, around 65 of which have been well investigated [1, 2]

  • There are 69 confirmed moons of Jupiter, around 65 of which have been well investigated [1, 2]

  • The K-S test, one type of nonparametric test, is used to determine whether a sample comes from a population with a specific distribution

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Summary

Introduction

There are 69 (the number has been refreshed to 79 by a team from Carnegie Institution for Science in July 2018. https:// sites.google.com/carnegiescience.edu/sheppard/moons/jupitermoons) confirmed moons of Jupiter, around 65 of which have been well investigated [1, 2]. The irregular satellites are the objects whose orbits are far more distant and eccentric They form families that share similar orbits (semi-major axis, inclination, and eccentricity) and composition. These families, which are considered to be part of collisions, arise when the larger parent bodies were shattered by impacts from asteroids captured by Jupiter’s gravitational field. The most detailed modelling of the collisional origin of the families was reported in [9, 10] According to this identification scheme [11], 60 moons were classified into 8 different groups, including Small Inner Regulars and Rings, Galileans, Themisto group, Carpo group, Himalia group, Carme group, and Ananke group as well as Pasiphae group, in addition to 9 satellites that do not belong to any of previous groups. The results may be helpful to astronomers to discover new moons of Jupiter in the future

Method of Distribution Inference
Distribution Inference of Satellite Groups
Comparison of Data Properties
Verification of Rationality of Theoretical Results
Application of the Distribution Inference
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Conflicts of Interest
Conclusions

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