A Statistical Theory of Gravitating Body Formation in Extrasolar Systems
This book develops the statistical mechanics of the formation of gravitating cosmogonical bodies in the investigation of our solar system and other exoplanetary systems. The first part of the text acquaints the reader with the developing statistical theory of gravitating cosmogonical body formation. Within the framework of this theory, the models and evolution equations of the statistical mechanics are proposed, while well-known problems of gravitational condensation of infinite distributed cosmic substances are solved on the basis of the proposed statistical model of spheroidal bodies. The second section of the book details theoretical and practical approaches to investigating the solar system and other exoplanetary systems. In particular, it considers a new universal stellar law (USL) for extrasolar planetary systems connecting the temperature, the size and the mass of each star. Within the framework of the developed statistical theory, a new law (generalizing the famous law of O. Schmidt) for the distribution of planetary in the solar system is also provided.
Professor Alexander M. Krot, DSc, is Head of the Laboratory of Self-Organization System Modeling at the United Institute of Informatics Problems of the National Academy of Sciences of Belarus. He graduated from the Department of Radiophysics of the Belarusian State University in 1982 and received his PhD and DSc in 1985 and 1991 respectively, before becoming a Professor in 1997. His current research interests are the analytical theory and computational modeling of self-organization processes and phenomena in complex systems, the statistical theory of planetary (stellar) system forming, the theory of nonlinear analysis of attractors of complex systems, and digital signal processing, among others.
“[This] excellently executed volumetric edition in a beautiful hardcover invites readers to make a fascinating journey into the mysterious and incompletely understood world of space. […] [It] is a self-consistent mathematical theory of gravitating bodies based on statistical physics and includes all the key sections of cosmogony. […] Without a doubt, this book will be very useful for scientists, teachers, graduate students and students specializing in research areas related to gravity, cosmogony, statistical and mathematical physics.”
Sergey N. Artekha, PhD
Department of Cosmogeophysics, Space Research Institute of the RAS, Russia
“[The] author provides a unique mathematical approach to formulate the problem of gravity as a statistical phenomenon. This solid and systematic book contains a rigorous description of multiple theories, including the formation of matter from ‘molecular clouds’, processes of ‘initial gravitational condensation’, and others. Especially interesting is the invitation of nonlinear Schrödinger quantum models typically used for describing solitonic wave-packets seemingly applicable here to explain the formation of a solitary body from surrounding matter clouds. […] In summary, the book looks solid and well-structured, and encompasses the life-long journey of the author to understand and advance the fascinating and still not well-understood world of cosmological formations around us, from the positions of novel theories of statistical gravitations and nonlinear quantum models.”
Sergei Eremenko, PhD,
Doctor of Engineering, Professor
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