Celestial Mechanics

Harry Pollard

doi:10.5948/UPO9781614440185

The MAA is pleased to re-issue the early Carus Mathematical Monographs in ebook and print-on-demand formats. Readers with an interest in the history of the undergraduate curriculum or the history of a particular field will be rewarded by study of these very clear and approachable little volumes. This monograph presents the basic mathematics underlying the subject of celestial mechanics. Chapter 1 formulates the central force problem and then deals with Kepler's first and second laws, orbits under non-Newtonian attraction, elements of an orbit, the two-body system, the solar system, and disturbed motion. Chapter 2 introduces the n-body problem. Included in Chapter 2 are the Lagrange-Jacobi formula, Sundman's theorem on total collapse, the three-body problem, and Lagrange's and Euler's solutions to the three-body problem. Chapter 3 is an introduction to Hamilton-Jacobi Theory.

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Celestial Mechanics

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Contents

Frontmatter
pp i-v

NOTE ON THE USE OF THIS BOOK
pp vi-vi

PREFACE
pp vii-vii

Dedication
pp viii-viii

Contents
pp ix-x

Chapter One - THE CENTRAL FORCE PROBLEM
pp 1-56

Chapter Two - INTRODUCTION TO THE n-BODY PROBLEM
pp 57-92

Chapter Three - INTRODUCTION TO HAMILTON-JACOBI THEORY
pp 93-132

Index
pp 133-134

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