dynamics of the earth theory of the planet s motion based on dynamic equilibrium

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Dynamics Of The Earth

Author : V. I. Ferronsky
ISBN : 9789048187232
Genre : Science
File Size : 90. 39 MB
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In their search for solutions to problems concerning the dynamics of the Earth as a self-gravitating body, the authors have applied the fundamentals found in their book “Jacobi Dynamics” (1987, Reidel). First, satellite observations have shown that the Earth does not remain in hydrostatic equilibrium, which forms the physical basis of modern geodynamics. Secondly, satellite data have established a relationship between the planet’s polar moment of inertia and the potential of the Earth’s outer force field, which proves the most basic point of Jacobi dynamics. This allowed the authors to revise their derivation of the classical virial theorem, introducing the concept of a volumetric force and volumetric moment, and so to obtain a generalized virial theorem in the form of Jacobi’s equation. The main dynamical effects are: the kinetic energy of oscillation of the interacting particles, which explains the physical meaning and nature of gravitational forces; separation of shells of a self-gravitating body with respect to its mass density; differences in angular velocities of the shell’s rotation; continuity in variance of the potential of the outer gravitational force field, together with reductions in the envelope of the interacting masses (volumetric center of gravity); the nature of Earth, Moon and satellite precession; the nature and generating mechanism of the planet’s electromagnetic field; the common nature of gravitational and electromagnetic energy, and other related issues. The work is a logical continuation of the book "Jacobi Dynamics" and is intended for researchers, teachers and students engaged in theoretical and experimental research in various branches of astronomy, geophysics, planetology and cosmogony, and for students of celestial, statistical, quantum and relativistic mechanics and hydrodynamics.

Jacobi Dynamics

Author : V.I. Ferronsky
ISBN : 9400704984
Genre : Science
File Size : 43. 84 MB
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In their approach to Earth dynamics the authors consider the fundamentals of Jacobi Dynamics (1987, Reidel) for two reasons. First, because satellite observations have proved that the Earth does not stay in hydrostatic equilibrium, which is the physical basis of today’s treatment of geodynamics. And secondly, because satellite data have revealed a relationship between gravitational moments and the potential of the Earth’s outer force field (potential energy), which is the basis of Jacobi Dynamics. This has also enabled the authors to come back to the derivation of the classical virial theorem and, after introducing the volumetric forces and moments, to obtain a generalized virial theorem in the form of Jacobi’s equation. Thus a physical explanation and rigorous solution was found for the famous Jacobi’s equation, where the measure of the matter interaction is the energy. The main dynamical effects which become understandable by that solution can be summarized as follows: • the kinetic energy of oscillation of the interacting particles which explains the physical meaning and nature of the gravitation forces; • separation of the shell’s rotation of a self-gravitating body with respect to the mass density; difference in angular velocities of the shell rotation; • continuity in changing the potential of the outer gravitational force field together with changes in density distribution of the interacting masses (volumetric center of masses); • the nature of the precession of the Earth, the Moon and satellites; the nature of the rotating body’s magnetic field and the generation of the planet’s electromagnetic field. As a final result, the creation of the bodies in the Solar System having different orbits was discussed. This result is based on the discovery that all the averaged orbital velocities of the bodies in the Solar System and the Sun itself are equal to the first cosmic velocities of their proto-parents during the evolution of their redistributed mass density. Audience The work is a logical continuation of the book Jacobi Dynamics and is intended for researchers, teachers and students engaged in theoretical and experimental research in various branches of astronomy (astrophysics, celestial mechanics and stellar dynamics and radiophysics), geophysics (physics and dynamics of the Earth’s body, atmosphere and oceans), planetology and cosmogony, and for students of celestial, statistical, quantum and relativistic mechanics and hydrodynamics.

Equilibrium Markets And Dynamics

Author : Cars H. Hommes
ISBN : 3540434704
Genre : Business & Economics
File Size : 65. 43 MB
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This book is a collection of research articles in algebraic geometry and complex analysis dedicated to Hans Grauert. The authors and editors have made their best efforts in order that these contributions should be adequate to honour the outstanding scientist. The volume contains important new results, solutions to longstanding conjectures, elegant new proofs and new perspectives for future research. The topics range from surface theory and commutative algebra, linear systems, moduli spaces, classification theory, Kähler geometry to holomorphic dynamical systems.

Astrometry Of Fundamental Catalogues

Author : Hans G. Walter
ISBN : 3540674365
Genre : Science
File Size : 76. 1 MB
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Celestial fundamental catalogues are a prerequisite for the determination of absolute positions and motions in space. Presently, positional astrometry is at the watershed between classical fundamental catalogues, based on moving reference stars, and modern catalogues, based on extragalactic reference objects with non-measurable motion. This book addresses the concepts and methods of the respective construction techniques leading to the stellar frame of the FK5 (fifth fundamental catalogue) and to the newly adopted extragalactic radio reference frame, ICRF (international celestial reference frame), with its extension to optical wavelengths by the Hipparcos Catalogue. While principal outlines of meridian circle observations are given, emphasis is put in some detail on the VLBI technique as applied to astrometry, and to the observational techniques used in the Hipparcos mission, including the tie of the originally non-anchored rigid Hipparcos sphere into the ICRF.

Encyclopedia Of The Scientific Revolution

Author : Wilbur Applebaum
ISBN : 9781135582555
Genre : History
File Size : 33. 27 MB
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With unprecedented current coverage of the profound changes in the nature and practice of science in sixteenth- and seventeenth-century Europe, this comprehensive reference work addresses the individuals, ideas, and institutions that defined culture in the age when the modern perception of nature, of the universe, and of our place in it is said to have emerged. Covering the historiography of the period, discussions of the Scientific Revolution's impact on its contemporaneous disciplines, and in-depth analyses of the importance of historical context to major developments in the sciences, The Encyclopedia of the Scientific Revolution is an indispensible resource for students and researchers in the history and philosophy of science.

Comparative Climatology Of Terrestrial Planets

Author : Stephen J. Mackwell
ISBN : 9780816530595
Genre : Science
File Size : 25. 48 MB
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"Through the contributions of more than sixty leading experts in the field, Comparative Climatology of Terrestrial Planets sets forth the foundations for this emerging new science and brings the reader to the forefront of our current understanding of atmospheric formation and climate evolution"--Provided by publisher.

Oceanography An Invitation To Marine Science

Author : Tom S. Garrison
ISBN : 9781305480575
Genre : Science
File Size : 25. 66 MB
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Developed in partnership with the National Geographic Society, market-leading OCEANOGRAPHY: AN INVITATION TO MARINE SCIENCE, 9e equips students with a basic understanding of the scientific questions, complexities, and uncertainties involved in ocean use-as well as the role and importance of the ocean in nurturing and sustaining life on Earth. The Ninth Edition features the work of seasoned author and educator Tom Garrison along with new co-author Robert Ellis, an assistant professor in the Marine Science Department at Orange Coast College who has managed research projects and educational programs throughout the world. Offering an even stronger emphasis on the science process, the new edition includes more How Do We Know? boxes detailing the science behind how oceanographers know what they know. Coverage of climate change has been updated to reflect the latest findings. In addition, Chapter 14 has been renamed Primary Producers and now includes expanded coverage of photosynthetic and chemosynthetic producers to help students understand the big picture in marine biology. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

The Astrological Magazine

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ISBN : UOM:39015075005044
Genre : Astrology
File Size : 32. 22 MB
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Astrological Magazine

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ISBN : UCAL:B3423341
Genre :
File Size : 28. 90 MB
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Nonlinear Dynamical Systems And Control

Author : Wassim M. Haddad
ISBN : 9781400841042
Genre : Mathematics
File Size : 67. 53 MB
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Nonlinear Dynamical Systems and Control presents and develops an extensive treatment of stability analysis and control design of nonlinear dynamical systems, with an emphasis on Lyapunov-based methods. Dynamical system theory lies at the heart of mathematical sciences and engineering. The application of dynamical systems has crossed interdisciplinary boundaries from chemistry to biochemistry to chemical kinetics, from medicine to biology to population genetics, from economics to sociology to psychology, and from physics to mechanics to engineering. The increasingly complex nature of engineering systems requiring feedback control to obtain a desired system behavior also gives rise to dynamical systems. Wassim Haddad and VijaySekhar Chellaboina provide an exhaustive treatment of nonlinear systems theory and control using the highest standards of exposition and rigor. This graduate-level textbook goes well beyond standard treatments by developing Lyapunov stability theory, partial stability, boundedness, input-to-state stability, input-output stability, finite-time stability, semistability, stability of sets and periodic orbits, and stability theorems via vector Lyapunov functions. A complete and thorough treatment of dissipativity theory, absolute stability theory, stability of feedback systems, optimal control, disturbance rejection control, and robust control for nonlinear dynamical systems is also given. This book is an indispensable resource for applied mathematicians, dynamical systems theorists, control theorists, and engineers.

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