行星系统：从泰勒斯至开普勒 An Introduction to Celestial Mechanics (Revised)

基本信息

Series:Dover Books on Astronomy

Format:Paperback / softback 437 pages, Illustrations, unspecified

Publisher:Dover Publications Inc.

Imprint:Dover Publications Inc.

Edition:New ed

ISBN:9780486646879

Published:1 Oct 1984

Weight:556g

Dimensions:136 x 216 x 24 (mm)

页面参数仅供参考，具体以实物为准

书籍简介

作为天体力学领域的文本，穆尔顿关于预测和解释天体现象的理论工作一直没有被取代。通过对天体力学的所有部分进行总体说明，而不是对任何一个方面进行过度的处理，通过预先说明所有的问题，并在变换较长的地方给出必须进行的步骤的大纲，以及通过指出所有引入假设或采用不合理方法的地方，穆尔顿保证了他的作品对所有对该主题感兴趣的人都有价值。

全文分为十章，按照主题的难易程度逻辑地展开。它们是 基本原则和定义，直线运动，中心力，物体的势能和吸引力，两个物体的问题，轨道的确定，N个物体问题的一般积分，三个物体的问题，扰动——几何学考虑，以及扰动——分析方法。重要的课题包括一般方程、下落粒子的运动、太阳的热量、同步微分方程、J仅仅是坐标的函数的例子、牛顿定律的普遍性、从力的定律确定轨道、简单固体的吸引力、简单物体和椭圆的势和吸引力、艾弗里的方法和水平面。轨道的元素，轨道的扩展和位置，坐标的变换，确定轨道的拉普拉斯和高斯方法，质心的运动和面积积分，无限小体的运动，相对速度为零的表面，干扰力成分的影响，月球理论，计算扰动的方法，以及扰动函数。

每一章后面都有与该主题有关的历史简述和书目。文中的关键点上出现了200多个问题，其中许多都有答案。

An unrivaled text in the field of celestial mechanics, Moulton's theoretical work on the prediction and interpretation of celestial phenomena has not been superseded. By providing a general account of all parts of celestial mechanics without an over-full treatment of any single aspect, by stating all the problems in advance, and, where the transformations are long, giving an outline of the steps which must be made, and by noting all the places where assumptions have been introduced or unjustified methods employed, Moulton has insured that his work will be valuable to all who are interested in the subject.

The text is divided into ten chapters which progress logically in terms of the difficulty of their subject matter. They are: Fundamental Principles and Definitions, Rectilinear Motion, Central Forces, The Potential and Attractions of Bodies, The Problem of Two Bodies, The Determination of Orbits, The General Integrals of the Problem of n Bodies, The Problem of Three Bodies, Perturbations ― Geometrical Considerations, and Perturbations ― Analytical Method. Important topics cove red include general equations, motion of falling particles, the heat of the sun, simultaneous differential equations, examples where J is a function of the coordinates alone, the universality of Newton's law, determination of the orbit from the law of force, attractions of simple solids, potential and attractions of simple bodies and ellipsoids, Ivory's method and level surfaces, elements of orbits, expansions and positions in orbits, transformations of coordinates, the Laplacian and Gaussian methods of determining orbits, motion of center of mass and area integrals, motion of the infinitesimal body, surfaces of zero relative velocity, effects of the components of the disturbing force, lunar theory, method of computing perturbations, and the perturbative function.

Each chapter is followed by a historical sketch and bibliography pertaining to that subject. Over 200 problems appear at key points in the text, many of them answered.

作者简介

Forest Ray Moulton（1872年4月29日-1952年12月7日）是一位美国天文学家。他出生在密歇根州的勒罗伊，并在阿尔比恩学院接受教育。1894年毕业后，他在芝加哥大学进行研究生学习，并于1899年获得博士学位。在芝加哥大学，他是天文学副教授（1898-1900），讲师（1900-03），助理教授（1903-08），副教授（1908-12），以及1912年后的教授。

Forest Ray Moulton (April 29, 1872 – December 7, 1952) was an American astronomer. He was born in Le Roy, Michigan, and was educated at Albion College. After graduating in 1894 (A.B.), he performed his graduate studies at the University of Chicago and gained a Ph.D. in 1899. At the University of Chicago he was associate in astronomy (1898–1900), instructor (1900–03), assistant professor (1903–08), associate professor (1908–12), and professor after 1912.