Notes
Slide Show
Outline
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Astro 1050     Fri., Oct. 31, 2003
  •    Today: Ch. 10: The Deaths of Stars
  • Go over exam Friday
  • EC Articles.
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White Dwarfs
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Simple Planetary Nebula
  • IC 3568   from the Hubble Space Telescope
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Complicated P-N in a Binary System
  • M2-9 (from the Hubble Space Telescope)
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A Gallery of P-N from Hubble
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Complications in Binary Systems
  • Can move mass between stars
  • 1st (massive) star becomes red giant
  • Its envelope transferred to other star
  • Hot (white dwarf) core exposed


  • 2nd star becomes red giant
  • Its envelope transferred to white dwarf
    • Accretion disk around white dwarf
      • Angular momentum doesn’t let material fall directly to white dwarf surface
    • Recurrent nova explosions
      • White dwarf hot enough for fusion, but no Hydrogen fuel
      • New fuel comes in from companion
      • Occasionally ignites explosively,
         blowing away remaining fuel
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Is a star stable against catastrophic collapse?
  • Imagine compressing a star slightly (without removing energy)
    • Pressure goes up (trying to make star expand)
    • Gravity also goes up (trying to make star collapse)
  • Does pressure go up faster than gravity?
    • If Yes:  star is stable – it bounces back to original size
    • If No:   star is unstable – gravity makes it collapses

  • Ordinary gas: P does go up fast –  stable
  • Non-relativistic degenerate gas:   P does go up fast –  stable
  • Relativistic degenerate gas: P does not go up fast –  unstable


    • Relativistic:   Mean are the electrons moving at close to the speed of light


    • Non-relativistic degenerate gas:   increasing r means not only more electrons, but faster electrons, which raises pressure a lot.
    • Relativistic degenerate gas:   increasing r can’t increase electron velocity (they are already going close to speed of light) so pressure doesn’t go up as much
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Chandrasekhar Limit for White Dwarfs
  • Add mass to an existing white dwarf
  • Pressure (P) must increase to balance stronger gravity


  • For degenerate matter, P depends only on density (r), not temperature, so must have higher density


  • P vs. r rule such that higher mass star must actually have smaller radius to provide enough P


  • As Mstar ® 1.4 MSun      velectron ® c
    • Requires much higher r to provide high enough P, so star must be much smaller.
    • Strong gravity which goes with higher r makes this a losing game.


    • For M ³ 1.4 MSun no increase in r can provide enough increase in P – star collapses


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Implications for Stars
  • Stars less massive than 1.4 MSun can end as white dwarfs


  • Stars more massive than 1.4 MSun can end as white dwarfs, if they lose enough of their mass (during PN stage) that they end up with less than 1.4 MSun


  • Stars whose degenerate cores grow more massive than 1.4 MSun will undergo a catastrophic core collapse:


      • Neutron stars
      • Supernova
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Supernova
  • When the degenerate core of a star exceeds 1.4 MSun it collapses
    • Type II:  Massive star where it runs out of fuel after converting core to Fe
    • Type  I:  White dwarf in binary, which receives mass from its companion.


  • Events:
    • Star’s core begins to collapse
    • Huge amounts of gravitational energy liberated
    • Extreme densities allows weak force to convert matter to neutrons
      p+ + e- ®  n + n
    • Neutrinos (n) escape, carrying away much of energy, aiding collapse
    • Collapsing outer part is heated, “bounces” off core, is ejected into space
      • Light from very hot ejected matter makes supernova very bright
      • Ejected matter contains heavy elements from fusion and neutron capture
    • Core collapses into either:
      • Neutron stars or Black Holes (Chapter 11)
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Supernova in Another Galaxy
  • Supernova 1994D in NGC 4526
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Tycho’s Supernova of 1572
  • Now seen by the Chandra X-ray Observatory as an expanding cloud.
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The Crab Nebula – Supernova from 1050 AD
  • Can see expansion between 1973 and 2001
    • Kitt Peak National Observatory Images
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What happens to the collapsing core?
  • Neutron star (more in next chapter)
    • Quantum rules also resist neutron packing
      • Densities much higher than white dwarfs allowed
        • R ~ 5 km      r ~ 1014 gm/cm3   (similar to nucleus)
      • M limit uncertain,  ~2 or ~3 MSun before it collapses


    • Spins very fast (by conservation of angular momentum)


    • Trapped spinning magnetic field makes it:
      • Act like a “lighthouse” beaming out E-M radiation (radio, light)
        • pulsars
      • Accelerates nearby charged particles
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Spinning pulsar powers the
 Crab nebula
  • Red:  Ha


  • Blue:  “Synchrotron” emission from high speed electrons trapped in magnetic field