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Exam on Wednesdaymorsony/150/lectures/lecture10_Evidence.pdf · • Short answer and essay questions • Mostly qualitative • Don’t need to memorize formula, but do ... Tuesday,

Mar 22, 2020

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Page 1: Exam on Wednesdaymorsony/150/lectures/lecture10_Evidence.pdf · • Short answer and essay questions • Mostly qualitative • Don’t need to memorize formula, but do ... Tuesday,
Page 2: Exam on Wednesdaymorsony/150/lectures/lecture10_Evidence.pdf · • Short answer and essay questions • Mostly qualitative • Don’t need to memorize formula, but do ... Tuesday,

Exam on Wednesday

•  Short answer and essay questions •  Mostly qualitative •  Don’t need to memorize formula, but do

need to know which way formula go

•  Review session today, 4:30, here Tuesday, 5:00, 4421 Sterling Hall

Page 3: Exam on Wednesdaymorsony/150/lectures/lecture10_Evidence.pdf · • Short answer and essay questions • Mostly qualitative • Don’t need to memorize formula, but do ... Tuesday,

Evidence for Black Holes

•  Stellar Mass Black Holes – X-ray binaries – Accretion Disks – Orbits

•  Supermassive Black Holes – Spectra – Masers –  Jets

Page 4: Exam on Wednesdaymorsony/150/lectures/lecture10_Evidence.pdf · • Short answer and essay questions • Mostly qualitative • Don’t need to memorize formula, but do ... Tuesday,

Type Ia

•  Start with a White Dwarf •  Somehow get above Chandrasekhar limit

– Accretion from companion? – Merger?

•  Start a little nuclear burning in the core

Page 5: Exam on Wednesdaymorsony/150/lectures/lecture10_Evidence.pdf · • Short answer and essay questions • Mostly qualitative • Don’t need to memorize formula, but do ... Tuesday,

Type Ia Supernova

•  Burn most of the star up to Fe/Ni

•  No compact remnant left, no pulsar

Tycho’s SN (1572) remnant

Page 6: Exam on Wednesdaymorsony/150/lectures/lecture10_Evidence.pdf · • Short answer and essay questions • Mostly qualitative • Don’t need to memorize formula, but do ... Tuesday,

HOW TO DETECT A BLACK HOLE •  Effects on matter/light outside the horizon

–  gravitational attraction of other bodies – “dark star” with mass

•  distinguish from normal star, white dwarf, neutron star

•  Accretion (swallowing) of gas –  gas heated by compression/turbulence in strong gravity

field X-rays –  but need a source of gas

•  accretion from interstellar matter insignificant •  mass transfer in binaries to the rescue

SunM3>

Page 7: Exam on Wednesdaymorsony/150/lectures/lecture10_Evidence.pdf · • Short answer and essay questions • Mostly qualitative • Don’t need to memorize formula, but do ... Tuesday,
Page 8: Exam on Wednesdaymorsony/150/lectures/lecture10_Evidence.pdf · • Short answer and essay questions • Mostly qualitative • Don’t need to memorize formula, but do ... Tuesday,

HOW TO DETECT BLACK HOLES

1. Mass of “compact “ companion in close binary system (stellar remnants only)

X-ray binary (artist’s impression)

Page 9: Exam on Wednesdaymorsony/150/lectures/lecture10_Evidence.pdf · • Short answer and essay questions • Mostly qualitative • Don’t need to memorize formula, but do ... Tuesday,

HOW TO DETECT BLACK HOLES

2. Orbital motion of stars or gas clouds (supermassive holes)

M87 disk

Page 10: Exam on Wednesdaymorsony/150/lectures/lecture10_Evidence.pdf · • Short answer and essay questions • Mostly qualitative • Don’t need to memorize formula, but do ... Tuesday,

HOW TO DETECT BLACK HOLES

3. Random motions of stars in galaxy’s nucleus (supermassive holes)

Globular cluster M3 (similar appearance to a galactic nucleus)

Page 11: Exam on Wednesdaymorsony/150/lectures/lecture10_Evidence.pdf · • Short answer and essay questions • Mostly qualitative • Don’t need to memorize formula, but do ... Tuesday,

Gas almost never falls directly into a black hole

Too much “swirl” (angular momentum) …

Page 12: Exam on Wednesdaymorsony/150/lectures/lecture10_Evidence.pdf · • Short answer and essay questions • Mostly qualitative • Don’t need to memorize formula, but do ... Tuesday,
Page 13: Exam on Wednesdaymorsony/150/lectures/lecture10_Evidence.pdf · • Short answer and essay questions • Mostly qualitative • Don’t need to memorize formula, but do ... Tuesday,

Too much “swirl” (angular momentum) … …makes it more

like a whirlpool

Gas almost never falls directly into a black hole

Page 14: Exam on Wednesdaymorsony/150/lectures/lecture10_Evidence.pdf · • Short answer and essay questions • Mostly qualitative • Don’t need to memorize formula, but do ... Tuesday,

ACCRETION DISK •  Like a flattened whirlpool

•  Gas must give up angular momentum to go down the drain

VISCOSITY (~FRICTION)

Page 15: Exam on Wednesdaymorsony/150/lectures/lecture10_Evidence.pdf · • Short answer and essay questions • Mostly qualitative • Don’t need to memorize formula, but do ... Tuesday,

ACCRETION DISKS ALLOW US to PROBE the HORIZON

GRAVITY

MOTION

HEAT

RADIATION (X-rays, UV…)

Energy flows from one form to another...

matter swirling inward

friction

Page 16: Exam on Wednesdaymorsony/150/lectures/lecture10_Evidence.pdf · • Short answer and essay questions • Mostly qualitative • Don’t need to memorize formula, but do ... Tuesday,

ENERGY FLOW IN ACCRETION DISK

GRAVITATIONAL POTENTIAL ENERGY

KINETIC ENERGY

HEAT

RADIATION

Energy flows from one form to another...

falling matter

compression/turbulence

particle collisions, etc.

Page 17: Exam on Wednesdaymorsony/150/lectures/lecture10_Evidence.pdf · • Short answer and essay questions • Mostly qualitative • Don’t need to memorize formula, but do ... Tuesday,

CAN WE IMAGE BLACK HOLES?

Page 18: Exam on Wednesdaymorsony/150/lectures/lecture10_Evidence.pdf · • Short answer and essay questions • Mostly qualitative • Don’t need to memorize formula, but do ... Tuesday,

CAN WE IMAGE BLACK HOLES?

•  HUBBLE: read newspaper @ 1 mile –  Optical/UV telescope in space –  Falls short by 100,000

•  VLBA: read newspaper in Chicago –  Transcontinental radio telescope –  Falls short by 1,000

•  Event Horizon Telescope: read paper in LA – High frequency VLBA (being built) – Can do if for 2 Black Holes

•  MAXIM: Read newspaper on moon –  X-ray interferometer in space (2040?)

…NOT YET, BUT SOMEDAY…?

Page 19: Exam on Wednesdaymorsony/150/lectures/lecture10_Evidence.pdf · • Short answer and essay questions • Mostly qualitative • Don’t need to memorize formula, but do ... Tuesday,

MAXIM = Micro- arcsecond X-ray Imaging Mission

DETECTOR SPACECRAFT

CONVERGER SPACECRAFT

200 M

COLLECTOR SPACECRAFT (32 PLACES EVENLY SPACED)

10 KM

5000 KM

CONSTELLATION BORESIGHT

Hub Spacecraft

SPACECRAFT DELAY LINE

Page 20: Exam on Wednesdaymorsony/150/lectures/lecture10_Evidence.pdf · • Short answer and essay questions • Mostly qualitative • Don’t need to memorize formula, but do ... Tuesday,

Why is it easier to image a supermassive black hole?

Page 21: Exam on Wednesdaymorsony/150/lectures/lecture10_Evidence.pdf · • Short answer and essay questions • Mostly qualitative • Don’t need to memorize formula, but do ... Tuesday,

Why is it easier to image a supermassive black hole?

•  Black hole radius scales as M

•  Even though they are far away, still appear large

Page 22: Exam on Wednesdaymorsony/150/lectures/lecture10_Evidence.pdf · • Short answer and essay questions • Mostly qualitative • Don’t need to memorize formula, but do ... Tuesday,

2 biggest apparent Black Holes

•  Sag A* - Milky way center –  26,000 light years away –  4.3 million Msun

•  M87 –  54 million light years away –  6.6 billion Msun

•  Which looks bigger?

Page 23: Exam on Wednesdaymorsony/150/lectures/lecture10_Evidence.pdf · • Short answer and essay questions • Mostly qualitative • Don’t need to memorize formula, but do ... Tuesday,

EVOLUTION OF CLOSE BINARIES

•  “Algol Paradox” and its resolution •  Roche lobe = “sphere” of influence

–  actually teardrop shaped

•  Matter flows across Lagrange point •  Too much angular momentum

ACCRETION DISK

Page 24: Exam on Wednesdaymorsony/150/lectures/lecture10_Evidence.pdf · • Short answer and essay questions • Mostly qualitative • Don’t need to memorize formula, but do ... Tuesday,

ALGOLS CAN EVOLVE INTO X-RAY BINARIES

•  Crucial that mass ratio flips –  otherwise stars can fly apart

•  Compact star either NS or BH –  depends on mass of precursor

•  Two modes of mass transfer –  stellar wind: star smaller than Roche

lobe –  “Roche lobe overflow”: star swells to

fill Roche lobe

Page 25: Exam on Wednesdaymorsony/150/lectures/lecture10_Evidence.pdf · • Short answer and essay questions • Mostly qualitative • Don’t need to memorize formula, but do ... Tuesday,
Page 26: Exam on Wednesdaymorsony/150/lectures/lecture10_Evidence.pdf · • Short answer and essay questions • Mostly qualitative • Don’t need to memorize formula, but do ... Tuesday,

NEUTRON STAR VS. BLACK HOLE: …how to tell

•  BH if: – mass > 3 Msun (reliable) – distinctive spectrum (unreliable ????)

•  NS if: – pulsing (X-ray pulsar) – evidence of nuclear explosions on surface

(X-ray burster)

Page 27: Exam on Wednesdaymorsony/150/lectures/lecture10_Evidence.pdf · • Short answer and essay questions • Mostly qualitative • Don’t need to memorize formula, but do ... Tuesday,

X-ray pulsar (accretion)

X-ray burster (thermonuclear)

Page 28: Exam on Wednesdaymorsony/150/lectures/lecture10_Evidence.pdf · • Short answer and essay questions • Mostly qualitative • Don’t need to memorize formula, but do ... Tuesday,

BINARY MASS FUNCTION depends on...

•  Orbit period: easy •  Doppler shift of

normal star: easy •  Mass of normal star:

hard •  Orbit inclination: hard

0.1 10 1 100

Log Mass (solar units)

Page 29: Exam on Wednesdaymorsony/150/lectures/lecture10_Evidence.pdf · • Short answer and essay questions • Mostly qualitative • Don’t need to memorize formula, but do ... Tuesday,
Page 30: Exam on Wednesdaymorsony/150/lectures/lecture10_Evidence.pdf · • Short answer and essay questions • Mostly qualitative • Don’t need to memorize formula, but do ... Tuesday,

about 15 Msun

Page 31: Exam on Wednesdaymorsony/150/lectures/lecture10_Evidence.pdf · • Short answer and essay questions • Mostly qualitative • Don’t need to memorize formula, but do ... Tuesday,
Page 32: Exam on Wednesdaymorsony/150/lectures/lecture10_Evidence.pdf · • Short answer and essay questions • Mostly qualitative • Don’t need to memorize formula, but do ... Tuesday,
Page 33: Exam on Wednesdaymorsony/150/lectures/lecture10_Evidence.pdf · • Short answer and essay questions • Mostly qualitative • Don’t need to memorize formula, but do ... Tuesday,

Sag A* Orbits