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Stars. Luminous gaseous celestial body – spherical in shape held by its own gravity. How do we study stars?. Light!!. Stellar Radiation. H fusion occurs in star’s interior converting mass to E (mass deficit). T must be ~ 10 7 K, for nuclei to overcome Coulomb force & fuse.
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Stars Luminous gaseous celestial body – spherical in shape held by its own gravity
How do we study stars? • Light!!
Stellar Radiation • H fusion occurs in star’s interior converting mass to E (mass deficit). • T must be ~ 107 K, for nuclei to overcome Coulomb force & fuse. • Interior of the star is so hot it is plasma.
BE of He higher than BE 4H. He - 4. H isotopes.
Excess E is carried away by g photons & neutrinos n. Some E gets absorbed in star heats interior more & exerts outward pressure.
StellarEquilibrium- outward P from radiation balances gravity inward in stable stars.
Ex 1. The sun is losing mass at 4.26 x 109 kg/s. At what rate does the sun emit energy? • Assuming the mass is converted to E. • E = mc2. • (4.26 x 109 kg/s)(3 x 108m/s)2. • 3.83 x 10 26 J each second.
Star Power Luminosity (L) = total power output of a star W or J/s. As we just calculated the sun converts mass to Energy Sun L = 3.9 x 1026 W.
Luminosity (W) depends on: • Surface Area • Temperature • Which equation relates power to A & T?
Stars are regarded as black bodies • L = sAT4. • L = s4pr2T4. • L – Watts J/s. L = Power • A surface A m2 • T Kelvin • s = 5.67 x 10-8W/ m2 K4.
ApparentBrightness (b): how bright stars appear. What we see from Earth depends on L & distance from Earth
Apparent brightness • radiation from star that is incident on the Earth per m2. It’s like Intensity
Calculation of ApparentBrightness (b): L = luminosity in W d = distance to Earth m b = apparent brightness W/m2. Intensity
Ex 2: The apparent brightness of a star is 6.4 x 108 W/m2. If its distance to Earth is 50 LY, find its luminosity.
b4pd2 = L • (6.4 x 108 W/m2) (4p)(4.73 x 1017 m)2. • d = (9.46 x 10 15 m/LY)(50 LY) = 4.73 x 1017 m • 1.8 x 10 45 W
Wein’s Displacement Law relates peak l & surface temp for black body. T in Kelvin l in meters Star’s spectra similar to black body.
as T inc. • Tot intensity increase for all l. • Peak changes to shorter l higher f.
Ex 3: A star has a surface temp of 17 000 K and L = 6.1 x 10 29 W. a. What is the peak l? b. Find its radius.
Solar Spectrum • Some radiation l absorbed by outer layers. • Can identify elements in outer layers. • If H is present, H will absorb l = to dif between Bohr orbit levels. Form black lines.
Motion & Speed of Stars • Doppler Effect/Red or Blue shift gives info. • Absorption lines shift toward longer or shorter l, depending on motion.
Red Shift Spectrum – stars movingaway from us show dark line shift. • Find v, direction by shift of line spectra.
Blue Shift – moving toward usAmount of Shift relates to speed of motion
List 3 observations we can make using light to get information about stars.State what we can learn from each type of observation.
Use Spectrum to find: • Chemical composition surface • (absorption spectrum) • Motion toward or away from Earth • Red/blue shift • Surface temp • Peak l (color)
Ex 4: Our sun has T = 6000 K and L = 3.9 x 1026 W. If star Z has T = 4000 K, &L = 5.2 x 10 28 W, would it be:larger or smaller to our sun?Calculate its radius in terms of our sun’s radius. • Larger • 26 x Rsun.
Early Star Classification • Spectral Class • Color Temperature Composition.
Stellar spectra • http://www.youtube.com/watch?v=jjmjEDYqbCk • From 4:48
Spectral Classes. • Stars characterized by temperature, absorption lines & color. • Old Classification O – M.
OBAFGKM • Oh be a fine girl – kiss me. • Then subdivided in 10 smaller groups 0-9. • Sun – G2.
H-R diagram graphs temp against luminosity – Not Linear • Be able to identify general regions of star types on the H-R diagram • 90% Stars on Main sequence.
MS High Mass Cool, Super-Large H-R Diagram Fast Burners Cool, Large Small, Hot MS Low Mass Long Lives
HR Diagramstart at 1:24 http://www.youtube.com/watch?v=yX0HWr9xQ6M
Black body radiation 12 min • https://www.youtube.com/watch?v=TiOpUAI_9mk&autoplay=1&app=desktop