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Magnitude. Seeing Stars. There are about 5000 stars visible to the unaided eye on a clear moonless night. Ancient astronomers measured certain properties. Brightness Color Distance should be determined by parallax, but the stars were too far without a telescope. Light Source.
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Seeing Stars • There are about 5000 stars visible to the unaided eye on a clear moonless night. • Ancient astronomers measured certain properties. • Brightness • Color • Distance should be determined by parallax, but the stars were too far without a telescope.
Light Source • The energy produced by an object each second is its luminosity (L). • Watts from a light • Absolute brightness • Astronomers measure luminosity relative to the Sun. • LSun = 1 L • LSirius = 23 L • Stars have a wide range of luminosities. • Minimum 0.0001 L • Maximum 10,000,000 L
Brightness and Distance • Light travels equally in all directions from a source. • Double the sphere, four times the area • Star brightness (B) decreases as the square of the distance to the star (d).
Photometer • Light goes out in all directions from a source. • Falls on a small area • The ratio of luminosity to area is the flux or irradiance. • Apparent brightness • Photometers measure irradiance.
Six Classes • In the second century BC Hipparchus grouped stars based on their brightness. • Six categories • 1 for brightest, 6 for dimmest • In 1856 this system of magnitude was made mathematical by Norman Pogson. • Five points smaller = 100 times brighter • One point = 2.5 times brighter or dimmer • Logarithmic scale
The apparentmagnitude of stars is set to Vega. Vega = 0 Some bright stars m Sun -26.7 Sirius -1.4 Alpha Centauri -0.3 Vega 0.0 Capella 0.1 Rigel 0.1 Betelgeuse 0.5 Aldebaran 0.9 Apparent Magnitude ucolick.org
Distance Correction • Distance information is needed to get the luminosity. • Measure in parsecs (pc) • Alpha Centauri: 1.3 pc = 4.3 ly • The magnitude changes with distance. • Example: 2 identical stars • A is 7 pc from Earth • B is 70 pc from Earth • The apparent brightness of B is 1/100 that of A • The magnitude of B is 5 larger.
Absolute magnitude (M) measures brightness as if the stars were 10 pc away. Distance from Earth (D) Different from apparent magnitude (m) Some bright stars M Sun 4.8 Sirius 1.4 Alpha Centauri 4.1 Vega 0.6 Capella 0.4 Rigel -7.1 Betelgeuse -5.6 Aldebaran -0.3 Absolute Magnitude