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Stellar Mass. Alcor. Mizar. ( Binary star). Ursa Major. Gravitational Orbits Animation. CM. Binary star (system): two stars orbiting a common center of mass (CM). 1. r 2. r 1. 2. r 2 = 3 AU, r 1 = 1 AU . Yuk!. Kepler’s laws apply here. P: years a: AU M: Solar Masses.
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Alcor Mizar (Binary star) Ursa Major
CM Binary star (system): two stars orbiting a common center of mass (CM). 1 r2 r1 2 r2 = 3 AU, r1 = 1 AU
Yuk! Kepler’s laws apply here . . . P: years a: AU M: Solar Masses
a = r1 + r2 = 4 AU Suppose: P = 8 yrs . . . 1 M
Albireo “Seeing” Binary Stars • Visual Binary: Two stars seen in telescope • e.g., Mizar
Sirius A & B A B
A B L M Distance = 13 ly P = 44.6 yrs a = 9.5 AU Kruger 60 A B 0.01L 0.0034 L 0.28 M 0.16 M
Mizar 2. Spectroscopic Binary: Motion of stars detected via Doppler shift of spectrum lines. Each star is itself binary!
Earth * Doppler shift * No Doppler shift
Earth • Eclipsing Binary: • Stars mutually • eclipse • each other. * No eclipse * Eclipse
Brightness Time Binary ‘light curve’ ½ orbit period
Binary Statistics • * At least 50% of all stars reside in binaries. • * The sun is apparently a loner!