7_-_Stellar_Masses - 7 Stellar Masses Unknown The Plan The...

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7 – Stellar Masses Unknown 2 The Plan • The mass of the Sun • The masses of distant stars • More than half of the stars are in multiple star systems. This is another area where the Sun is not the average Star. • Visual Binaries • Eclipsing Binaries • Radial Binaries • The mass function • Brown Dwarfs 3 The Kepler problem as seen by Newton m 1 r 2 , m 2 r 1 , m 1 com 12 12 2 2 2 11 12 1 2 22 12 2 2 2 1 1 0 0 2 Gm m F r mv F r F r rr r v P mr π =− += = = = 4 Kepler’s (2) 1 1 2 1 1 2 1 2 2 2 23 1 2 2 2 () ( ) (2 ) r v P Gm m m v r Gm m m v r G mm P = = = + = + +
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5 In the Solar System… 23 12 1 2 2 21 2 () ( ) (2 ) G mm P rr if then G mP r π += + > = 6 What is the Value of an Au? 2 (2 ) G r = We know P, the length of the year, reasonably well, π x10 7 sec. • G comes from the Cavendish experiment. • However, it is still necessary to know the actual distance to “something!” • Parallax of the Sun • Transit of a planet across the Sun’s surface from two places on the Earth.
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7_-_Stellar_Masses - 7 Stellar Masses Unknown The Plan The...

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