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Why don’t stars collapse?
•Limiting case:  Assume no nuclear fusion, only energy source is gravity.
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•Star is “almost” in hydrostatic equilibrium
–Star radiates energy:  If nothing else happened T would drop, P would drop, star would shrink.
–Star does shrink, but in doing so gravitational energy is converted to heat, preventing T from continuing to drop.
–In fact, since star is now more compact, gravity is stronger and it actually needs higher P (so higher T) to prevent catastrophic collapse
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•As star shrinks, ½ of gravitational energy goes into heating up star, ½ gets radiated away
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•Rate at which it radiates energy, so rate at which it shrinks, is limited by how “insulating” intermediate layers are