The Titius-Bode Law of Planetary Distances

The Titius-Bode Law of Planetary Distances PDF Author: Michael Martin Nieto
Publisher: Elsevier
ISBN: 1483159361
Category : Science
Languages : en
Pages : 187

Book Description
The Titius-Bode Law of Planetary Distances: Its History and Theory is a 15-chapter book that first discusses the prehistory of the Law from Kepler to Kant. The next chapter details the formulation of the Titius-Bode Law. Subsequent chapters describe the Law's early successes and failures, early modifications of the Law, the Blagg-Richardson formulation, and the significance of the Law with respect to the origin of the solar system. Other chapters discuss the theories of all types that have been proposed to explain the ""classical Titius-Bode Law"", i.e. the geometric progression.

Mind The Gap: The Labyrinthine Story Of Planetary Orbits, Mathematics, And The Titius-bode Rule

Mind The Gap: The Labyrinthine Story Of Planetary Orbits, Mathematics, And The Titius-bode Rule PDF Author: Martin Beech
Publisher: World Scientific
ISBN: 9811273995
Category : Science
Languages : en
Pages : 401

Book Description
This book is concerned with two tightly knit topics — those of mathematics and astronomy. Its focus is primarily concerned with planetary astronomy, and specifically the history of accounting for the spacing of planetary orbits. The story begins with the ancient Greek philosophers and continues to the modern era and the new data being gleaned from the study of exoplanetary systems. Throughout the text, the manner in which mathematical theory has been used to decipher, and impose order upon the solar system, will be examined. Attention and discussion will be directed towards the so-called Titius-Bode rule, a long-standing ordering principle, that in fact it has no physical underpinning or explanation.The story presented will look at how humanity has learned about the workings of the solar system, and it will look at the philosophical problems that arise when mathematical exposition leads observation. Furthermore, the fundamental role of mathematics in the development of physical theory is examined, and it is argued that there are some gaps in our knowledge of the solar system (and the universe) that mathematics and physical theory will never successfully bridge. The text will present material at the informed-amateur scientist, university undergraduate student level.

Solar System Dynamics

Solar System Dynamics PDF Author: Carl D. Murray
Publisher: Cambridge University Press
ISBN: 1139936158
Category : Science
Languages : en
Pages : 612

Book Description
The Solar System is a complex and fascinating dynamical system. This is the first textbook to describe comprehensively the dynamical features of the Solar System and to provide students with all the mathematical tools and physical models they need to understand how it works. It is a benchmark publication in the field of planetary dynamics and destined to become a classic. Clearly written and well illustrated, Solar System Dynamics shows how a basic knowledge of the two- and three-body problems and perturbation theory can be combined to understand features as diverse as the tidal heating of Jupiter's moon Io, the origin of the Kirkwood gaps in the asteroid belt, and the radial structure of Saturn's rings. Problems at the end of each chapter and a free Internet Mathematica® software package are provided. Solar System Dynamics provides an authoritative textbook for courses on planetary dynamics and celestial mechanics. It also equips students with the mathematical tools to tackle broader courses on dynamics, dynamical systems, applications of chaos theory and non-linear dynamics.

A History of Modern Planetary Physics

A History of Modern Planetary Physics PDF Author: Stephen G. Brush
Publisher: Cambridge University Press
ISBN: 9780521441711
Category : Science
Languages : en
Pages : 344

Book Description
Nebulous Earth follows the development of the nineteenth-century's most popular explanation for the origin of the solar system, Laplace's Nebular Hypothesis.

Atti Della Fondazione Giorgio Ronchi Anno LXV N.5

Atti Della Fondazione Giorgio Ronchi Anno LXV N.5 PDF Author:
Publisher: Lucia Ronchi
ISBN:
Category :
Languages : en
Pages : 156

Book Description


An Academic Introducing to the Titius Bode Law

An Academic Introducing to the Titius Bode Law PDF Author: Peet Schutte
Publisher: Createspace Independent Publishing Platform
ISBN: 9781507845851
Category : Science
Languages : en
Pages : 500

Book Description
To help all those that never heard of the Titius Bode law I wish to give the following summery as to summarise what is said in book 1 we shortly discover the following. The following is the official explanation concerning the Titius Bode law. The Titius-Bode Law is rough rule that predicts the spacing of the planets in the Solar System and relates the mean distances of the planets from the sun to a simple mathematic progression of numbers. To find the mean distances of the planets, beginning with the following simple sequence of numbers: 0 3 6 12 24 48 96 192 384 With the exception of the first two, the others are twice the value of the preceding number. Add 4 to each number: 4 7 10 16 28 52 100 196 388 Then divide by 10: 0.4 0.7 1.0 1.6 2.8 5.2 10.0 19.6 38.8 The resulting sequence is very close to the distribution of mean distances of the planets from the Sun: Body Actual distance (A.U.) Bode's Law Mercury 0.39 0.4 Venus 0.72 0.7 Earth 1.00 1.0 Mars 1.52 1.6 2.8 Jupiter 5.20 5.2 Saturn 9.54 10.0 Uranus 19.19 19.6 For many a century science has been grappling with the enigma called the Titius Bode law. This conundrum had the most brilliant minds baffled and twisted without solving the mystery. This was one of the toughest there is because science has been going on and on and on without having a clue what to do. Nature gave science 3. ...And to complicate matters only to further as to confuse science nature made the numeration a series of 3 such as 0 3 6 12 24 48 96 192 384, which is just doubling the components. Understanding this is a tall order since it is only the most brilliant minds in science on earth that has to understand this lot. Then nature really got merciless and expected science to add 4 to the numeration. How more difficult can it get? Science was given 3 and then expected that the Brainy Bunch must be able to add 4... and this would complete the sequence! How are those with minds that function on computing ability in mathematics suppose to be able to understand that when given 3 and then asked to add 4 come to a conclusion that this will total seven. Then nature made the riddle exponentially more difficult. Nature said that this distance of 3 + 4 doubles from the one planet's distance to the sun and then to the distance of the next planet. Science are given 3 + 4 and then they have to add to it this same distance as the layout doubles. Then they had to divide this with 10. For century after century Newtonians had no idea about this anomaly that nature threw at them. They understood, but to add 3 plus 4 and double this was too far to go and it had to be divided by 10. It was far better to leave something as complicated as the Titius Bode law alone and stick to Newton notwithstanding that nature applied the Titius Bode law notwithstanding that nature applied the Titius Bode law. Nature does not apply mass to allocate planets but use these laws and the Titius Bode law in particular to place planets in the order in which they are. I place these books on the market as cheap as I could to help me as evidence to support me in my fight against their falseness with which science holds the world at ransom. As you will see I solved the mystery of the 4 phenomena in cosmic space just because and only because I was the first person in 300 years that tried to add 3 and 4 and then reach a conclusion that it is seven. By my ability to be able to add 3 and 4 I am the first one (apparently) in cosmology that has the ability to come to a conclusion that 3 and 4 is seven I am the person that wrote the book on the working of nature applying gravitational density and I tell the truth that nobody in science wants to hear. I wish to present to you an approach to the Universe I think no one before me ever took and I managed to add 3 + 4 where i got a total of 7. By being able to do that I solved the Titius Bode law. Now I present you with the solution...

Enchantment Of Urania, The: 25 Centuries Of Exploration Of The Sky

Enchantment Of Urania, The: 25 Centuries Of Exploration Of The Sky PDF Author: Massimo Capaccioli
Publisher: World Scientific
ISBN: 981124779X
Category : Science
Languages : en
Pages : 574

Book Description
Today we know much about the sky: how stars are born, how they live and die, and how the universe as a whole evolves. We have learned of the existence of another type of matter, indifferent to light and yet decisive for the formation of galaxies, and we have a hint of a dark energy that since the last 4.5 billion years has taken over the control of the cosmos. We postulated and then discovered and even photographed black holes and listened to the faint rustle of the space-time ripple produced when these monsters devour each other. We reached these astonishing results (recognized by a bunch of Nobel Prizes and filling every day the media with wonders for the eyes and the mind) by the marriage of physics and astronomy that unified the Earth with the sky and then by the leap forward of science and technology in the Twentieth Century. This rich heritage has ancient roots. It was built by accumulating discoveries with errors, observations with fantasies, myths, and superstitions with flashes of genius, over a span of millennia, since Homo sapiens, turning his eyes to the immutable and perfect sky, began to ask questions.The book is a narration of the answers to these questions that had evolved over time: a progressive path, inserted in the general history, with some second thoughts and many obstacles. This is a saga of men and machines where greatness sometimes mixes with misery and passion often borders on sacrifice and even martyrdom. Why should we know it? Because our current knowledge is the result of these efforts and of the preconceptions that accompanied them.The challenge has been to present this complex and intricate subject without resorting to any formulas, so that it can be accessible to a wide audience of curious people, including high school and university students and in general all those who normally keep themselves informed of scientific things. A rich bibliography has also been added in the appendix for those wishing to learn more on one or more topics.

Observing our Changing Earth

Observing our Changing Earth PDF Author: Michael G. Sideris
Publisher: Springer Science & Business Media
ISBN: 3540854266
Category : Science
Languages : en
Pages : 823

Book Description
At the XXIV General Assembly of the International Union of Geodesy and Geophysics (IUGG), held July 2-13, 2007 in Perugia, Italy, the International As- ciation of Geodesy (IAG) also had its quadrennial General Assembly. The IAG - organized and contributed to several Union Symposia, as well as to Joint Symposia with other Associations. It also organized ve Symposia of its own, one dedicated to eachofitsfourCommissionsanda fthonededicatedtotheGlobalGeodeticObse- ing System (GGOS). This volume contains the proceedings of these ve Symposia, which are listed below: Symposium GS001: Reference Frames Convener: H. Drewes Co-convener: A. Dermanis Symposium GS002: Gravity Field Convener: C. Jekeli Co-conveners: U. Marti, S. Okubo, N. Sneeuw, I. Tziavos, G. Vergos, M. Vermeer, P. Visser Symposium GS003: Earth Rotation and Geodynamics Convener: V. Dehant Co-convener: Chengli Huang Symposium GS004: Positioning and Applications Convener: C. Rizos Co-convener: S. Verhagen Symposium GS005: The Global Geodetic Observing System (GGOS) Conveners: M. Rothacher Co-conveners: R. Neilan, H.-P. Plag The Symposia were organized based on the structure of the IAG (i. e., one per Commission) and covered the there pillars of geodesy, namely geometry, Earth ro- tion, and gravity eld, plus their applications. The inclusion of the Symposium on GGOS - which is no longer a project but a major component of the IAG - integrated all geodetic areas and highlighted the importance of multidisciplinarity in, and for, geodetic research.

Induction and Deduction in the Sciences

Induction and Deduction in the Sciences PDF Author: F. Stadler
Publisher: Springer Science & Business Media
ISBN: 1402021968
Category : Science
Languages : en
Pages : 355

Book Description
The articles in this volume deal with the main inferential methods that can be applied to different kinds of experimental evidence. These contributions - accompanied with critical comments - by renowned scholars in the field of philosophy of science aim at removing the traditional opposition between inductivists and deductivists. They explore the different methods of explanation and justification in the sciences in different contexts and with different objectives. The volume contains contributions on methods of the sciences, especially on induction, deduction, abduction, laws, probability and explanation, ranging from logic, mathematics, natural to the social sciences. They present a highly topical pluralist re-evaluation of methodological and foundational procedures and reasoning, e.g. focusing in Bayesianism and Artificial Intelligence. They document the second international conference in Vienna on "Induction and Deduction in the Sciences" as part of the Scientific Network on "Historical and Contemporary Perspectives of Philosophy of Science in Europe", funded by the European Science Foundation (ESF).

Light Scattering in Planetary Atmospheres

Light Scattering in Planetary Atmospheres PDF Author: V. V. Sobolev
Publisher: Elsevier
ISBN: 1483187284
Category : Science
Languages : en
Pages : 275

Book Description
Light Scattering in Planetary Atmospheres details the theory of radiative transfer for anisotropic scattering. The title emphasizes more on the theoretical aspects, and such focuses more on the fundamental concepts and basic principles rather than the practical application. The text first presents the basic equations, and then proceeds to tackling specific concepts in the subsequent chapters. Chapter 2 discusses the semi-infinite atmospheres, while Chapter 3 tackles atmospheres of finite optical thickness. Next, the selection talks about atmospheres overlying a reflecting surface. The next two chapters in the title discuss the general theory. The seventh chapter details the linear integral equation, while the eighth chapter covers the approximate formulas. The text also deals with the determination of the physical characteristics of planetary atmospheres, along with the theory of radiative transfer in spherical atmospheres. The book will be of great use to scientists involved in the study of celestial bodies, such as astronomers and astrophysicists.