Skip to main content
SpringerLink
Log in

Leonhard Euler and the Foundations of Celestial Mechanics

  • Book
  • © 2022

Overview

Authors:
  1. Dora Musielak

    1. Department of Physics, University of Texas, Arlington, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • Serves as elegant and unbiased portrait of remarkable mathematician and his relationships with astronomers and scholars
  • Provides a lucid account of the debate surrounding Newton's laws as they were understood in the eighteenth century
  • Includes a comprehensive presentation of mathematical formalism behind nascent theories leading to n-body problem

Part of the book series: History of Physics (HIPHY)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (8 chapters)

  1. Front Matter

    Pages i-xxviii
    Download chapter PDF

  2. Euler Study of Newtonian and Cartesian Physics

    • Dora Musielak
    Pages 1-16

  3. Euler’s Grand Tour

    • Dora Musielak
    Pages 17-25

  4. Introducing Analysis to Celestial Mechanics

    • Dora Musielak
    Pages 27-46

  5. A Theory of Tides

    • Dora Musielak
    Pages 47-63

  6. Theories of Motion in the Solar System

    • Dora Musielak
    Pages 65-105

  7. Motion of Comets and Comet Tail Theory

    • Dora Musielak
    Pages 107-139

  8. The Three-Body Problem and Lunar Theories

    • Dora Musielak
    Pages 141-160

  9. Euler’s Legacy to Astronautics

    • Dora Musielak
    Pages 161-186

  10. Back Matter

    Pages 187-208
    Download chapter PDF
Back to top

Keywords

About this book

The intention of this book is to shine a bright light on the intellectual context of Euler’s contributions to physics and mathematical astronomy. Leonhard Euler is one of the most important figures in the history of science, a blind genius who introduced mathematical concepts and many analytical tools to help us understand and describe the universe. Euler also made a monumental contribution to astronomy and orbital mechanics, developing what he called astronomia mechanica. Orbital mechanics of artificial satellites and spacecraft is based on Euler’s analysis of astromechanics. However, previous books have often neglected many of his discoveries in this field. For example, orbital mechanics texts refer to the five equilibrium points in the Sun-Earth-Moon system as Lagrange points, failing to credit Euler who first derived the differential equations for the general n-body problem and who discovered the three collinear points in the three-body problem of celestial mechanics. These equilibrium points are essential today in space exploration; the James Webb Space Telescope (successor to the Hubble), for example, now orbits the Sun near L2, one of the collinear points of the Sun-Earth-Moon system, while future missions to study the universe will place observatories in orbit around Sun-Earth and Earth-Moon equilibrium points that should be properly called Euler-Lagrange points. In this book, the author uses Euler’s memoirs, correspondence, and other scholarly sources to explore how he established the mathematical groundwork for the rigorous study of motion in our Solar System. The reader will learn how he studied comets and eclipses, derived planetary orbits, and pioneered the study of planetary perturbations, and how, old and blind, Euler put forward the most advanced lunar theory of his time.

Reviews

“The book is very readable … . The technical material is patiently explained while assuming little background in the field … . general readers who are looking for math history popularization will find some enjoyable passages … . Thankfully, thorough references ensure that the book could serve as a useful entry point to the literature.” (Viktor Blåsjö, zbMATH 1509.01004, 2023)

Authors and Affiliations

  • Department of Physics, University of Texas, Arlington, USA

    Dora Musielak

About the author

Dora Musielak is an aerospace scientist, the recipient of two NASA research fellowships and other honors. She is a Research Professor at the University of Texas in Arlington and teaches mathematical methods to graduate students in physics and engineering.

Dora Musielak is also a historian of mathematics and science. Her research focuses on both the lives of mathematicians and the scientific developments in the eighteenth and nineteenth centuries. A central topic of her scholarly exploration is the mathematical ideas that germinated and grew in Europe, starting with Euler and Lagrange, in order to discover how mathematics led to developments in physics and astronomy. Her research also includes the mathematical formulations for classical (Newtonian) and modern (Einsteinian) quantum mechanics. Dora Musielak is the author of Sophie’s Diary (MAA Press), and her latest book published in Springer Biographies is a scholarly memoir of French mathematician Sophie Germain, describing her contributions to mathematics and her efforts to prove Fermat’s Last Theorem. The present book is Dora Musielak’s tribute to the blind mathematician who saw infinity.

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation