Shared rules between planetary orbits displayed by multi-planet systems and their function

Abstract

AbstractTo better understand orbital relationships, we calculated the exoplanetary observation data of all multi-planet systems with the method of orbital ratio parameter analysis. The calculations display the orbital relationships between all exoplanets of each multi-planet system in a clearer quantification way, including the exoplanets of mean motion resonances (MMRs). By statistics and comparisons, we found more orbital features beyond MMRs and summarized them into the shared rules between planetary orbits. Meanwhile, we derived corresponding equations and principles, based on which we classified the 96 four-and-more-planet extrasolar systems observed. According to Criterion (N-B), 83 are the systems with the shared rules. By analysis, we proposed migratory and absent exoplanets, and calculated their orbits. We also summed up the main reasons why exoplanets migrate or are absent, which cause large deviation rates. The discovery of the shared rules provides a different way to study the completeness and evolution of multi-planet systems.