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Solar-Stellar Connection
The Sun: Home Star Solar-Stellar Connection
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The Sun Key to solar-stellar connection Close-up model for other stars
Local “lab” for testing ideas about the physics of stars Energy source for most life on earth
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Must know distance to find these!
Sun: Properties Luminosity Mass Radius Must know distance to find these!
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Analyze spectrum to find these; do not need to know distance!
Sun: Properties Surface temperature Chemical composition Analyze spectrum to find these; do not need to know distance!
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Distance 1 AU! About 150 million km
How? Bounce radar signals off Venus! Know distance in AU from Kepler’s laws. Know speed of light, measure travel time => distance in km, known fraction of AU; get AU in km
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Luminosity At earth, measure flux: Energy passing through an area per second => 1370 W/s Imagine a sphere around the sun with radius 1 AU Collects 4 x 1026 W, sun’s luminosity or power
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Mass Apply: Newton’s version of Kepler’s 3rd or Newton’s 2nd law plus law pf gravitation Need earth’s orbital period (365 days) and distance, 150 million km (1 AU) Result: 2 x 1030 kg, 330,000 times that of earth
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Diameter (Radius) Angular diameter from earth about 1/2 degree => actual diameter/distance = 1/110 Know distance (1 AU in km) Actual diameter = (1/110) x 150 x 106 km = about 1.4 million km, or 100 times earth!
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Chemical Composition Absorption-line spectrum: Match lines to those of known elements Information only about photosphere, where lines form Mostly H (72%) and He (26%)
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Surface Temperature Assume: Radiates like a blackbody (Planck curve of continuous emission) Then: Match overall curve or use peak of emission Get: Temp about 5800 K
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Solar Energy Source: Fusion reactions (H => He) in core, where temperature 10 to 15 million K How: E = mc2; thermonuclear reactions convert mass to energy (heat & light) Energy flow: From core to surface takes light about 200,000 y (opaque!)
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