On the Analytical Models of Protoplanetary Formation in Extrasolar Systems
作者机构：Laboratory of Self-Organization System ModelingUnited Institute of Informatics ProblemsNational Academy of Sciences of Belarus6Surganov Str.220012 MinskBelarus
出 版 物：《Space(Science & Technology)》 (空间科学与技术（英文）)
年 卷 期：2022年第2022卷第1期
页 面：422-440页
核心收录：
学科分类：07[理学] 0802[工学-机械工程] 0825[工学-航空宇航科学与技术] 0704[理学-天文学] 0701[理学-数学] 070101[理学-基础数学]
基 金：This work has been carried out with financial support of the Republican Scientific Research Program“digital and space technologies,security of man,society and state”(2021-2025) task1.10.3“analytical models of self-organization phenomena in electrochemically active neuronal media,artificial neural networks and planetary systems”,and supported partially by the Belarusian Republican Foundation for Fundamental Research within the framework of the project no.F20R-329 “theoretical foundations of the study of wave processes and phenomena in the ionosphere using signals from satellite radio navigation systems”(2020-2022)
摘 要：In this work,we consider a statistical theory for a cosmogonical body formation(so-called spheroidal body)to develop the analytical models of protoplanetary formation in extrasolar *** the framework of this theory,the models and evolution equations of the statistical mechanics have been proposed,while the well-known problem of gravitational condensation of infinite distributed cosmic substances has been *** paper derives the general equation of distribution of the specific angular momentum of forming protoplanets since the specific angular momentums(for particles or planetesimals)are averaged during a conglomeration process(under a planetary embryo formation).As a result,a new law for planetary distances(which generalizes Schmidt’s law)is derived *** paper develops also an alternative thermal emission of particles model of the formation of protoplanets in extrasolar *** the framework of this model,the equation for the thermal distribution function of the specific angular momentums of particles moving in elliptical orbits in the gravitational field is *** to this thermal escape model,only 0.8%of the total number of particles in the solar system composing the protoplanetary cloud has angular momentum 15.6 times higher than the angular momentum of the remaining 99%of *** conclusion agrees completely with the known fact of a nonuniform distribution of the angular momentums in our solar system noted by ter *** pointed out here,the exponential laws of planetary distances occur in some extrasolar systems.
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