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On the Theory of the moon, and on the perturbations of the planets
ON THE THEORY OF THE MOON, AND ON THE PERTURBATIONS OF THE PLANETS.
Author: JOHN WILLIAM. LUBBOCK
Publisher:
Published: 2018
Total Pages: 0
ISBN-13: 9781033143698
DOWNLOAD EBOOK →On the Theory of the Moon, and on the Perturbations of the Planets
On the Theory of the Moon, and on the Perturbations of the Planets
On the Theory of the Moon
The Hill-Brown Theory of the Moon’s Motion
Author: Curtis Wilson
Publisher: Springer Science & Business Media
Published: 2010-06-03
Total Pages: 323
ISBN-13: 1441959378
DOWNLOAD EBOOK →This book, in three parts, describes three phases in the development of the modern theory and calculation of the Moon's motion. Part I explains the crisis in lunar theory in the 1870s that led G.W. Hill to lay a new foundation for an analytic solution, a preliminary orbit he called the "variational curve." Part II is devoted to E.W. Brown's completion of the new theory as a series of successive perturbations of Hill's variational curve. Part III describes the revolutionary developments in time-measurement and the determination of Earth-Moon and Earth-planet distances that led to the replacement of the Hill–Brown theory in 1984.
Gravitation
Introduction to the Mechanics of the Solar System
Author: Rudolf Kurth
Publisher: Elsevier
Published: 2013-10-22
Total Pages: 188
ISBN-13: 1483147282
DOWNLOAD EBOOK →Introduction to the Mechanics of the Solar System introduces the reader to the mechanics of the solar system and covers topics ranging from the periods of the planets to their flattening and its effects on the orbits of satellites. Kepler's three laws of planetary motion are also discussed, along with the law of gravity; the two-body problem; and perturbations in the motions of the moon and the planets. This book is comprised of four chapters and begins with an analysis of the kinematics of a single planet, focusing on the work of Johannes Kepler, particularly his determination of the orbits of the Earth and Mars and his formulation of his three laws of planetary motion. The following chapters explore systems of ordinary differential equations; determination of orbits using Laplace's method and Gauss' method; the equations of motion and their integrals; the perturbation equations of celestial mechanics; and Lagrange's solution of the three-body problem. The notations of the Earth and the moon are also considered. This monograph is intended for astronomers and astronomy students.
The Inequalities in the Motion of the Moon Due to the Direct Action of the Planets
