An Introduction to Astronomy and Astrophysics / Edition 1

An Introduction to Astronomy and Astrophysics / Edition 1

by Pankaj Jain
ISBN-10:
1439885907
ISBN-13:
9781439885901
Pub. Date:
04/07/2015
Publisher:
Taylor & Francis
ISBN-10:
1439885907
ISBN-13:
9781439885901
Pub. Date:
04/07/2015
Publisher:
Taylor & Francis
An Introduction to Astronomy and Astrophysics / Edition 1

An Introduction to Astronomy and Astrophysics / Edition 1

by Pankaj Jain

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Overview

This undergraduate-level textbook addresses key physics concepts relevant to stellar observations, including radiation, electromagnetic spectrum, photometry, continuous and discrete spectrum, and spectral lines. It describes instruments used for astronomical observations as well as how the radiation received is characterized and interpreted. The book also examines the structure of stars, the basic equations which explain stars in equilibrium, and the fusion reactions occurring in stellar cores. Plus, it discusses the evolution of stars, the solar system, the dynamics of galaxies, and the fundamentals of modern cosmology.


Product Details

ISBN-13: 9781439885901
Publisher: Taylor & Francis
Publication date: 04/07/2015
Pages: 366
Product dimensions: 6.30(w) x 9.20(h) x 1.00(d)

About the Author

Pankaj Jain obtained his doctoral degree from Syracuse University, New York, USA. He subsequently carried out postdoctoral research at the Massachusetts Institute of Technology (MIT), Cambridge, USA; West Virginia University, Morgantown, USA; University of Kansas, Lawrence, USA; and University of Oklahoma, Norman, USA. Dr. Jain is currently a professor in the Physics Department at Indian Institute of Technology, Kanpur. He is a theoretical physicist, whose chief interests are in high energy physics and cosmology. Presently, he is working on the models of dark energy and dark matter, cosmic microwave background radiation, observational tests of the cosmological principle, fundamental symmetries of nature, ultra-high energy cosmic rays, and strong interactions.

Table of Contents

Preface xiii

1 Introduction 1

1.1 Overview 1

1.2 Scales and Dimensions 2

1.3 Night Sky 5

1.4 Constellations 8

1.5 Earth, Sun, and the Solar System 11

1.5.1 Retrograde Motion of Planets 12

1.6 Sidereal Time 13

1.7 Astronomical Catalogs and Software 15

2 Observations 17

2.1 Electromagnetic Waves 18

2.2 Electromagnetic Spectrum 20

2.3 Telescopes 23

2.3.1 Refractor Telescope 24

2.3.2 Reflecting Telescope 27

2.4 Observations at Visible Frequencies 29

2.4.1 Theoretical Limit on Resolution 31

2.4.2 Seeing 32

2.5 Mounting of Telescope 33

2.5.1 Equatorial Mount 33

2.5.2 Azimuthal Mount 33

2.6 Interferometry 33

2.7 Observations at Other Wavelengths 34

3 Astrometry 37

3.1 Coordinate Systems 41

3.1.1 The Horizontal System 42

3.1.2 Equatorial Coordinate System 43

3.1.3 Ecliptic System 44

3.1.4 Galactic Coordinate System 44

3.1.5 Supergalactic Coordinate System 44

3.2 Space Velocity and Proper Motion of Stars 44

3.2.1 Doppler Effect 46

3.3 Parallax 47

3.4 Aberration 50

3.5 Coordinate Transformations 51

3.5.1 Transformation between Equatorial and Ecliptic Coordinate Systems 54

3.5.2 Precession of Equinoxes 55

3.5.3 Equatorial Mounting of a Telescope 56

4 Photometry 59

4.1 Introduction 59

4.2 Flux Density and Intensity 61

4.3 Blackbody Radiation 66

4.4 Energy Density in an Isotropic Radiation Field 70

4.5 Magnitude Scale 71

4.5.1 Apparent Magnitude 72

4.5.2 Absolute Magnitude 73

4.5.3 The Color Index 74

4.5.4 Bolometric Magnitude 74

4.6 Stellar Temperatures 75

4.6.1 Effective Temperature 75

4.6.2 Color Temperature 75

4.7 Appendix: Solid Angle 77

5 Gravitation and Kepler's Laws 81

5.1 Two-Body Problem 82

5.2 Application to Solar System 85

5.3 Virial Theorem 86

5.4 Tidal Forces and Roche Limit 88

6 Stars, Stellar Spectra, and Classification 93

6.1 Introduction 93

6.2 Stellar Spectra 96

6.3 Harvard Classification of Stellar Spectra 99

6.4 Saha Equation 101

6.5 Derivation of the Saha Equation 105

6.5.1 Number of States of a Free Particle in a Box 108

6.6 HR Diagram 109

6.7 Star Clusters and Associations 112

6.8 Distance and Age Determination of Clusters Using Color-Magnitude Diagram 113

7 Radiation from Astronomical Sources 117

7.1 Continuous Spectra 118

7.1.1 Synchrotron Radiation 118

7.1.2 Bremsstrahlung 121

7.1.3 Compton Scattering 122

7.1.4 Bound-Free Transitions 123

7.2 Absorption and Emission Line Spectrum 124

7.2.1 Radial Velocity Due to Doppler Effect 128

7.2.2 Causes of Finite Width of Spectral Lines 129

7.3 Molecular Band Spectra 129

7.4 Extinction 131

7.4.1 Extinction Coefficient 135

7.4.2 Color Excess 136

8 Stellar Structure 139

8.1 Pressure Gradient 140

8.2 Mass Distribution 143

8.3 Energy Production 143

8.4 Temperature Gradient 144

8.4.1 Radiative Transport 144

8.4.2 Convective Transport 146

8.5 Boundary Conditions 148

8.6 Rosscland Mean Opacity 149

8.7 Equation of State 152

8.7.1 Ideal Gas Law 153

8.7.1.1 Derivation of the Ideal Gas Law 154

8.7.1.2 Radiation Pressure 158

8.8 Energy Production in Stars 159

8.9 Appendix: Maxwell-Boltzmami Distribution 161

9 Stellar Nuclear Reactions 165

9.1 Fundamental Interactions 166

9.2 Fundamental Particles 167

9.3 A Brief Introduction to Neutrinos 168

9.4 PP Chain 169

9.5 Nuclear Reaction Rate 170

9.5.1 Nuclear Reaction Rate: Derivation 175

9.5.2 Nuclear Cross Section 177

9.5.3 Estimating the Nuclear Reaction Rate 177

9.6 Energy Released in Nuclear Reactions 181

9.7 Standard Solar Model 186

10 Star Formation and Stellar Evolution 189

10.1 Early Stage of Star Formation 190

10.1.1 Fragmentation 192

10.2 Evolution on the Main Sequence 193

10.3 Degenerate Free Electron Gas 194

10.4 Evolution beyond the Main Sequence 196

10.5 Population I and II Stars 198

10.6 White Dwarfs 199

10.7 Neutron Star 200

10.8 Black Holes 202

10.9 Supernova 204

11 The Sun 207

11.1 Solar Atmosphere 208

11.1.1 Photosphere 208

11.1.2 Chromosphere 210

11.1.3 Corona 211

11.2 Dynamo Mechanism for Magnetic Field Enhancement 214

11.3 Sunspots and the Solar Cycle 216

11.4 Some Transient Phenomena 220

12 The Solar System 223

12.1 Orbital Properties of Planets 224

12.2 Retrograde Motion of Planets 226

12.3 Albedo and Temperature of Planets 230

12.4 Terrestrial Planets: Interior Structure 232

12.5 Jovian Planets 236

12.6 The Moon 238

12.6.1 Eclipses and Occupations 240

12.7 Why Did Pluto Lose Its Planctship? 241

12.8 Formation of the Solar System 242

13 Binary Stars 247

13.1 Kinematics of a Binary Star System 247

13.2 Classification of Binary Stars 250

13.3 Mass Determination 254

13.4 Mass Transfer in Binary Systems 257

14 The Milky Way 265

14.1 The Distance Ladder 266

14.2 Distribution of Matter in the Milky Way 270

14.3 Differential Rotation of the Milky Way 273

14.4 Mapping the Galactic Disk with Radio Waves 276

14.5 Formation of the Spiral Arms 279

15 Galaxies 283

15.1 Elliptical Galaxies 286

15.2 Spiral Galaxies 289

15.3 Evidence for Dark Matter 292

15.4 Galaxy Clusters 293

16 Cosmology 295

16.1 Euclidean Space 296

16.2 Curved Space 296

16.3 Minkowski Space-Time 298

16.4 Big Bang Cosmology 299

16.4.1 Cosmological Redshift and Hubble's Law 299

16.4.2 FRW Line Element 301

16.4.3 Matter and Radiation 303

16.4.4 Cosmological Evolution Equations 305

16.4.5 Accelerating Universe and Dark Energy 306

16.5 The Early Universe 311

16.5.1 Primordial Nucleosynthesis 315

16.5.2 Recombination 320

16.5.3 Structure Formation 321

16.5.4 Cosmic Microwave Background Radiation (CMBR) 322

17 Active Galaxies 325

17.1 Introduction 325

17.2 Active Galactic Nuclei: Some Basic Properties 326

17.2.1 Size of AGNs 328

17.2.2 Luminosity 329

17.2.3 Superluminal Motion 330

17.3 Classification of Active Galaxies 331

17.3.1 Seyfert Galaxies 331

17.3.2 Radio Galaxies 332

17.3.3 Quasars 334

17.3.4 Blazars 336

17.4 Unified Model of AGNs 336

Appendix: Fundamental Constants and Conversion of Units 339

References 341

Index 343

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