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Analysis and Interpretation of Astronomical Spectra  4

14.3  The Evolution of the Sun in the HRD............................................................................................ 59
14.4  The Evolution of Massive Stars .................................................................................................... 60
14.5  The Relation between Stellar Mass and Life Expectancy .......................................................... 60
14.6  Age Estimation of Star Clusters ................................................................................................... 61

15 The Measurement of the Radial Velocity............................................................62

15.1 The Radial Velocity ........................................................................................................................ 62

15.2 The Classical Doppler Effect......................................................................................................... 62

15.3 The z-Value - A Fundamental Measure of Modern Cosmology.................................................. 63

15.4 The Relativistic Doppler Effect for Electromagnetic Waves ...................................................... 64

15.5 The Measurement of the Doppler Shift ....................................................................................... 64

15.6 Radial Velocities of Nearby Stars ................................................................................................. 65

15.7 Relative Shift within a Spectrum caused by the Doppler Effect................................................ 65

15.8 Radial Velocities of Galaxies ........................................................................................................ 65

15.9 The Apparent Dilemma at  ................................................................................................... 66

15.10 Radial Velocity- and Cosmological Spacetime Expansion at Messier-Galaxies....................... 66

15.11 The Redshift of the Quasar 3C273.............................................................................................. 68

15.12 The Gravitational Redshift ............................................................................................................ 69

15.13 Short Excursus on "Hubble time" tH ............................................................................................. 69

16    The Measurement of the Rotation Velocity........................................................70

16.1  Terms and Definitions ................................................................................................................... 70
16.2
16.3  The Rotation Velocity of the Large Planets ................................................................................. 70
16.4
16.5  The Rotation Velocity of the Sun.................................................................................................. 71
16.6
16.7  The Rotation Velocity of Galaxies ................................................................................................ 71

      Calculation of the  Value with the Velocity Difference ................................................ 71

      The Rotation Velocity of the Stars ............................................................................................... 73
      The Rotation Velocity of the Circumstellar Disks around Be Stars ........................................... 75

17    The Measurement of the Expansion Velocity.....................................................79

17.1  P Cygni Profiles.............................................................................................................................. 79
17.2  Inverse P Cygni Profiles ................................................................................................................ 79
17.3  Broadening of the Emission Lines................................................................................................ 80
17.4  Splitting of the Emission Lines ..................................................................................................... 80

18    The Measurement of the Stellar Photosphere Temperature............................81

18.1  Introduction.................................................................................................................................... 81
18.2  Temperature Estimation of the Spectral Class ........................................................................... 81
18.3  Temperature Estimation Applying Wien’s Displacement Law................................................... 82
18.4  Temperature Determination Based on Individual Lines ............................................................. 85
18.5  The “Balmer-Thermometer“.......................................................................................................... 85

19    Spectroscopic Binary Stars ..................................................................................87

19.1  Terms and Definitions ................................................................................................................... 87
19.2  Effects of the Binary Orbit on the Spectrum ............................................................................... 88
19.3  The Perspectivic Influence from the Spatial Orientation of the Orbit ....................................... 90
19.4  The Estimation of some Orbital Parameters ............................................................................... 91

20    Balmer–Decrement...............................................................................................93

20.1  Introduction.................................................................................................................................... 93
20.2  Qualitative Analysis ....................................................................................................................... 93
20.3  Quantitative Analysis .................................................................................................................... 94
20.4  Quantitative Definition of the Balmer-Decrement ...................................................................... 95
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