Mathematical Theories of Planetary Motions
Author : Otto Dziobek
Publisher :
Page : 316 pages
File Size : 31,93 MB
Release : 1892
Category : Celestial mechanics
ISBN :
Mathematical theories of planetary motion
Author : Otto Franz Dziobek
Publisher :
Page : 316 pages
File Size : 16,45 MB
Release : 1892
Category :
ISBN :
Book Description
The Ballet of the Planets
Author : Donald Benson
Publisher : Oxford University Press
Page : 193 pages
File Size : 42,20 MB
Release : 2012-05-11
Category : Mathematics
ISBN : 0199939292
Book Description
The Ballet of the Planets unravels the beautiful mystery of planetary motion, revealing how our understanding of astronomy evolved from Archimedes and Ptolemy to Copernicus, Kepler, and Newton. Mathematician Donald Benson shows that ancient theories of planetary motion were based on the assumptions that the Earth was the center of the universe and the planets moved in a uniform circular motion. Since ancient astronomers noted that occasionally a planet would exhibit retrograde motion--would seem to reverse its direction and move briefly westward--they concluded that the planets moved in epicyclic curves, circles with smaller interior loops, similar to the patterns of a child's Spirograph. With the coming of the Copernican revolution, the retrograde motion was seen to be apparent rather than real, leading to the idea that the planets moved in ellipses. This laid the ground for Newton's great achievement--integrating the concepts of astronomy and mechanics--which revealed not only how the planets moved, but also why. Throughout, Benson focuses on naked-eye astronomy, which makes it easy for the novice to grasp the work of these pioneers of astronomy.
From Eudoxus to Einstein
Author : C. M. Linton
Publisher : Cambridge University Press
Page : 530 pages
File Size : 24,40 MB
Release : 2004-08-12
Category : Science
ISBN : 1139453793
Book Description
Since man first looked towards the heavens, a great deal of effort has been put into trying to predict and explain the motions of the sun, moon and planets. Developments in man's understanding have been closely linked to progress in the mathematical sciences. Whole new areas of mathematics, such as trigonometry, were developed to aid astronomical calculations, and on numerous occasions throughout history, breakthroughs in astronomy have only been possible because of progress in mathematics. This book describes the theories of planetary motion that have been developed through the ages, beginning with the homocentric spheres of Eudoxus and ending with Einstein's general theory of relativity. It emphasizes the interaction between progress in astronomy and in mathematics, showing how the two have been inextricably linked since Babylonian times. This valuable text is accessible to a wide audience, from amateur astronomers to professional historians of astronomy.
NEW THEORY OF PLANETARY MOTION AND NEW FORMULA OF UNIVERSAL GRAVITATION
Author : WANG JIANHUA
Publisher : American Academic Press
Page : 493 pages
File Size : 16,30 MB
Release : 2022-09-12
Category : Science
ISBN : 1631815830
Book Description
If the solar system is regarded as a moving mass point system, then both the planet m and the sun M move around the solar system mass center O. According to the motion law of the mass point system and the centripetal force formula of the curve, it can be determined through theoretical analysis and mathematical derivation: (1) Kepler's law of planetary motion contradicts the motion rules of mass point systems. (2) The universal gravitational force F between planet m and sun M. K is the new gravitational constant. The force F' on the object m in the inertial frame S'. In the formula, V' is the velocity of the object m in the inertial frame S', and u is the velocity of the inertial frame S' in the cosmic space reference frame. In addition, the author designed three new optical experiments based on the light interference theory to verify whether the principle of constant speed of light conforms to objective facts. Experiment 1. Using the new front and rear hole laser interferometer for verification; Experiment 2. Verification of using long and short optical path Michelson interferometers; Experiment 3. Verification of using a double-hole interferometer.
Epitome of Copernican Astronomy and Harmonies of the World
Author : Johannes Kepler
Publisher : Prometheus Books
Page : 260 pages
File Size : 13,24 MB
Release : 2012-07-03
Category : Philosophy
ISBN : 1615921974
Book Description
The brilliant German mathematician Johannes Kepler (1571-1630), one of the founders of modern astronomy, revolutionized the Copernican heliocentric theory of the universe with his three laws of motion: that the planets move not in circular but elliptical orbits, that their speed is greatest when nearest the sun, and that the sun and planets form an integrated system. This volume contains two of his most important works: The Epitome of Copernican Astronomy (books 4 and 5 of which are translated here) is a textbook of Copernican science, remarkable for the prominence given to physical astronomy and for the extension to the Jovian system of the laws recently discovered to regulate the motions of the Planets. Harmonies of the World (book 5 of which is translated here) expounds an elaborate system of celestial harmonies depending on the varying velocities of the planets.
Planetary Motions
Author : Norriss S. Hetherington
Publisher : Bloomsbury Publishing USA
Page : 242 pages
File Size : 37,14 MB
Release : 2006-07-30
Category : Science
ISBN : 0313027587
Book Description
Students in an introductory physics class learn a variety of different, and seemingly unconnected, concepts. Gravity, the laws of motion, forces and fields, the mathematical nature of the science - all of these are ideas that play a central role in understanding physics. And one thing that connects all of these physical concepts is the impetus the great scientists of the past had to develop them - the desire to understand the motion of the planets of the solar system. This desire led to the revolutionary work of Copernicus and Galileo, Kepler and Newton. And their work forever altered how science is practiced and understood.
Applied Mathematics by Example: Theory
Author :
Publisher : Bookboon
Page : 134 pages
File Size : 19,54 MB
Release :
Category :
ISBN : 8776816249
Book Description
Mathematics for the Nonmathematician
Author : Morris Kline
Publisher : Courier Corporation
Page : 676 pages
File Size : 27,95 MB
Release : 2013-04-15
Category : Mathematics
ISBN : 0486316130
Book Description
Erudite and entertaining overview follows development of mathematics from ancient Greeks to present. Topics include logic and mathematics, the fundamental concept, differential calculus, probability theory, much more. Exercises and problems.
Encyclopaedia of Mathematics (set)
Author : Michiel Hazewinkel
Publisher : Springer Science & Business Media
Page : 982 pages
File Size : 33,7 MB
Release : 1994-02-28
Category : Mathematics
ISBN : 9781556080104
Book Description
The Encyclopaedia of Mathematics is the most up-to-date, authoritative and comprehensive English-language work of reference in mathematics which exists today. With over 7,000 articles from `A-integral' to `Zygmund Class of Functions', supplemented with a wealth of complementary information, and an index volume providing thorough cross-referencing of entries of related interest, the Encyclopaedia of Mathematics offers an immediate source of reference to mathematical definitions, concepts, explanations, surveys, examples, terminology and methods. The depth and breadth of content and the straightforward, careful presentation of the information, with the emphasis on accessibility, makes the Encyclopaedia of Mathematics an immensely useful tool for all mathematicians and other scientists who use, or are confronted by, mathematics in their work. The Enclyclopaedia of Mathematics provides, without doubt, a reference source of mathematical knowledge which is unsurpassed in value and usefulness. It can be highly recommended for use in libraries of universities, research institutes, colleges and even schools.
