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Stellar Measurements and Properties How many stars can you see on a given night? • 8,741 visible stars. • But we don’t see half, due to our Hemispheric sight. 8,741/2 = 4,370 • But that is the entire count and we only see half at any given time on earth. • 4,370/ 2 = 2,185 • Not yet…also limited by our technological advancements. • Answer about 1,500 – 2,000 depending on your limiting factors Limiting factors Absolute vs. Apparent magnitude • apparent magnitude of a celestial body is a measure of its brightness as seen by an observer on Earth. The brighter the object appears, the lower the value of its magnitude. • absolute magnitude measures a celestial object's true brightness from a set distance. Luminosity Luminosity - a measure of the total amount of energy radiated by a star or other celestial object per second. This is the power output of a star. Star Magnitude Logarithmic scale of How Much Brighter 2.512 X between magnitude than a Sixth Magnitude Six Star Magnitude Table levels Star Starting at Sixth Magnitude 1 100 Times 2.51 x 2.51 x 2.51 x 2.51 x 2.51 2 39.8 Times 2.51 x 2.51 x 2.51 x 2.51 3 15.8 Times 2.51 x 2.51 x 2.51 4 6.3 Times 2.51 x 2.51 5 2.51 Times 2.51 x 6 Photon: The smallest (quantum) unit of light/electromagnetic energy. Photons are regarded as particles with zero mass and no electric charge. d=1 B=1 d=2 B=1/4 d=3 B=1/9 Eclipsing Binary 4 Brightness 3 1 2 1 3 2 Time 4 Eclipsing Binary: Rare binarystar system that is aligned in such a way that from Earth we periodically observe one star pass in front of the other, eclipsing the other star Cepheid Variable • A Cepheid is usually a giant yellow star, pulsing regularly by expanding and contracting, resulting in a regular oscillation of its luminosity. • This type of star is helpful in determining distances. A.k.a: stellar “Ruler” Parallax • Astronomers can measure parallax by measuring the position of a nearby star with respect to more distant stars behind it. • Then measuring those distances again six months later when the Earth is on the opposite side of its orbit. Method of Trigonometric Parallaxes June p December Foreground Star Distant Stars D= 1 / P (where p= arc sec) Closer stars have larger parallaxes: Distant stars have smaller parallaxes: Sample Stellar calculations • Star A has a parallax angle of 0.742 arcsec. • Star B has a parallax angle of 0.5 arcsec. • Which star is further? • How much further? Bright, Brighter, Brightest • Castor = 1.16 • Pollux = 1.58 • Which star is brighter? • How much brighter? H–R Diagram Supergiants Luminosity (Lsun) 106 104 102 Ma in 1 Giants Se qu en ce 102 104 40,000 White Dwarfs 20,000 10,000 5,000 Temperature (K) 2,500 The Spectral Sequence O B Hottest 50,000K Bluest A F G K M L Coolest 1300K Reddest Spectral Sequence is a Temperature Sequence White Dwarf Sirius B M 1.0 Msun R 5800 km Crab Nebula Remnant of Supernova in 1054 AD Neutron Star M=1.5 Msun R10 km (spaceimaging.com) Neutron Star vs. Black Hole Manhattan (spaceimaging.com) Neutron Star M=1.5 Msun R=10 km Black Hole M=1.5 Msun RS=4.5 km