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4 - The Two-Body Problem

from Part I - Potential Theory

Published online by Cambridge University Press:  28 May 2021

Luca Ciotti
Luca Ciotti
Affiliation:
Università degli Studi, Bologna, Italy
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Summary

In this chapter, we introduce and solve (by means of the Laplace–Runge–Lenz vector) the two-body problem, with an emphasis on the properties of hyperbolic orbits, and specifically on the so-called slingshot effect. The obtained results will be used in Chapters 7 and 8 for the derivation of two fundamental timescales characterizing the dynamical evolution of stellar systems (i.e., the two-body relaxation time and dynamical friction time).

Keywords

Two-body problemslingshot effect
Type
Chapter
Information
Introduction to Stellar Dynamics , pp. 70 - 82
Publisher: Cambridge University Press
Print publication year: 2021

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  • The Two-Body Problem
  • Luca Ciotti, Università degli Studi, Bologna, Italy
  • Book: Introduction to Stellar Dynamics
  • Online publication: 28 May 2021
  • Chapter DOI: https://doi.org/10.1017/9780511736117.006
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  • The Two-Body Problem
  • Luca Ciotti, Università degli Studi, Bologna, Italy
  • Book: Introduction to Stellar Dynamics
  • Online publication: 28 May 2021
  • Chapter DOI: https://doi.org/10.1017/9780511736117.006
Available formats
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To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • The Two-Body Problem
  • Luca Ciotti, Università degli Studi, Bologna, Italy
  • Book: Introduction to Stellar Dynamics
  • Online publication: 28 May 2021
  • Chapter DOI: https://doi.org/10.1017/9780511736117.006
Available formats
×