The chaotic solar cycle / Arnold Hanslmeier.

This book offers an overview of solar physics with a focus on solar activity, particularly the activity cycle. It is known that solar activity varies periodically, but there are also phases of intermittency, such as the Maunder minimum, during which solar activity is very low or high over several de...

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Bibliographic Details
Main Author: Hanslmeier, Arnold (Author)
Format: eBook
Language:English
Published: Singapore : Springer, [2020]
Series:Atmosphere, earth, ocean & space.
Subjects:
Online Access:Click for online access
Table of Contents:
  • 1 What Is Chaos?
  • 1.1 Chaos and Causality
  • 1.1.1 Chaos: Examples from Religion
  • 1.1.2 Chaos in Philosophy
  • 1.1.3 Chaos in Modern Science
  • 1.1.4 The End of Predictability
  • 1.1.5 Causality
  • 1.2 From Simple Equations to Chaos
  • 1.2.1 The Logistic Equation
  • 1.2.2 The Tent Map
  • 1.2.3 A Numerical Example
  • 1.2.4 Sensitive Dependence on Initial Conditions
  • 1.2.5 Astrophysical Application: Star Formation
  • 1.2.6 Autocorrelation Function
  • 1.2.7 Powerspectrum: The Fourier Transform
  • 1.3 Self-similarity
  • 1.3.1 Mathematical Description
  • 1.3.2 The Koch Curve
  • 1.3.3 The Fractal Dimension
  • 1.4 The Lorentz System
  • 1.4.1 Formulation of a Lorentz System
  • 1.4.2 Some Experiments with the Lorentz System
  • 1.5 Measuring Chaos
  • 1.5.1 The Phase Space
  • 1.5.2 Lyapunov Exponent
  • Reference
  • 2 Chaos in the Solar System
  • 2.1 The Solar System
  • 2.1.1 Overview
  • 2.1.2 Solar System Formation
  • 2.2 Orbital Motions
  • 2.2.1 The Equations of the N-Body Problem
  • 2.2.2 Chaos and the N-Body Problem
  • 2.2.3 Motion and General Relativity
  • 2.2.4 Non Gravitational Forces and Chaos
  • 2.2.5 Chaotic Resonances in the Solar System
  • 2.2.6 Chaotic Spin-Orbit Resonances
  • 2.2.7 Three-Body Resonances
  • 2.2.8 Chaos Among the Giant Planets
  • 2.2.9 Chaos Among the Terrestrial Planets
  • References
  • 3 The Sun: An Active Star
  • 3.1 The Structure of the Sun
  • 3.1.1 The Solar Interior
  • 3.1.2 The Solar Atmosphere
  • 3.2 Solar Activity-An Overview
  • 3.2.1 Sunspots
  • 3.2.2 Faculae
  • 3.2.3 Flares and CMEs
  • 3.2.4 Solar Wind
  • 3.2.5 The Heliosphere
  • 3.3 The Solar Activity Cycle
  • 3.3.1 The Sunspot Cycle
  • 3.3.2 Other Effects of Solar Activity
  • References
  • 4 MHD and the Solar Dynamo
  • 4.1 Solar Magnetohydrodynamics
  • 4.1.1 Basic Equations
  • 4.1.2 Some Important MHD Effects
  • 4.1.3 Fluid Equations
  • 4.1.4 Equation of State
  • 4.1.5 Structured Magnetic Fields
  • 4.1.6 Potential Fields
  • 4.1.7 Charged Particles in Magnetic Fields
  • 4.1.8 MHD Waves
  • 4.1.9 Magnetic Fields and Convection
  • 4.2 The Solar Dynamo
  • 4.2.1 The Solar Dynamo and Observational Features
  • 4.2.2 The [alpha-omega] Dynamo
  • 4.2.3 Differential Solar Rotation
  • 4.2.4 Mathematical Description
  • References
  • 5 Long Term Solar Activity
  • 5.1 Sunspot Recordings
  • 5.1.1 The Wolf Number
  • 5.1.2 Historical Sunspot Numbers
  • 5.2 Proxies of Solar Activity
  • 5.2.1 Aurorae
  • 5.2.2 Cosmogenic Isotopes
  • 5.2.3 Other Proxies
  • 5.3 Long Term Solar Activity
  • 5.3.1 Solar Activity Since Telescopic Observations
  • 5.3.2 The Maunder Minimum