Three Body Dynamics and Its Applications to Exoplanets

  • Zdzislaw Musielak
  • Billy Quarles

Part of the SpringerBriefs in Astronomy book series (BRIEFSASTRON)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Zdzislaw Musielak, Billy Quarles
    Pages 1-6
  3. Zdzislaw Musielak, Billy Quarles
    Pages 7-20
  4. Zdzislaw Musielak, Billy Quarles
    Pages 21-53
  5. Zdzislaw Musielak, Billy Quarles
    Pages 55-70
  6. Zdzislaw Musielak, Billy Quarles
    Pages 71-84
  7. Zdzislaw Musielak, Billy Quarles
    Pages 85-89
  8. Zdzislaw Musielak, Billy Quarles
    Pages 91-92
  9. Back Matter
    Pages 93-109

About this book


This brief book provides an overview of the gravitational orbital evolution of few-body systems, in particular those consisting of three bodies. The authors present the historical context that begins with the origin of the problem as defined by Newton, which was followed up by Euler, Lagrange, Laplace, and many others.  Additionally, they consider the modern works from the 20th and 21st centuries that describe the development of powerful analytical methods by Poincare and others.  The development of numerical tools, including modern symplectic methods, are presented as they pertain to the identification of short-term chaos and long term integrations of the orbits of many astronomical architectures such as stellar triples, planets in binaries, and single stars that host multiple exoplanets. The book includes some of the latest discoveries from the Kepler and now K2 missions, as well as applications to exoplanets discovered via the radial velocity method. Specifically, the authors give a unique perspective in relation to the discovery of planets in binary star systems and the current search for extrasolar moons.


Celestial Mechanics Discovery of Circumbinary Planets Dynamical Astronomy Kepler Discoveries Kepler-453 Multiple Planetary Systems N-body Problem Planetary Motion Planets in Binary Stars Three Body Problem

Authors and affiliations

  • Zdzislaw Musielak
    • 1
  • Billy Quarles
    • 2
  1. 1.University of Texas at ArlingtonArlingtonUSA
  2. 2.University of OklahomaNormanUSA

Bibliographic information

  • DOI
  • Copyright Information The Author(s) 2017
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-58225-2
  • Online ISBN 978-3-319-58226-9
  • Series Print ISSN 2191-9100
  • Series Online ISSN 2191-9119
  • Buy this book on publisher's site