Largest Black Hole?

• by Budgieye moderator

  Distant quasar z=3.366

  I am looking for calculations on its size. Mass is already calculated.

  Astronomers have discovered the largest and most luminous black hole
  ever seen — an ancient monster with a mass about 12 billion times that
  of the sun — that dates back to when the universe was less than 1
  billion years old.

  https://www.space.com/28664-monster-black-hole-largest-brightest-ever.html

  About 20X bigger than our solar system.

  https://www.quora.com/Which-one-is-bigger-S5-0014+81-or-Sagittarius-A*

  

  http://ned.ipac.caltech.edu/spc1/1994/1994ApJS...91....1B/HB89_0014+813:S:LyAlFor:b1994_sp_small.png

  1983 The most luminous quasar - S5 0014+81 http://articles.adsabs.harvard.edu/cgi-bin/nph-iarticle_query?1983ApJ...275L..33K&data_type=PDF_HIGH&whole_paper=YES&type=PRINTER&filetype=.pdf

  Quasar in PanSTARRS

  It looks like a star. But it is a Quasi Stellar Object, or QSO

  http://ps1images.stsci.edu/cgi-bin/ps1cutouts?pos=4.28542%2C81.58556&filter=color&filter=g&filter=r&filter=i&filter=z&filter=y&filetypes=stack&auxiliary=data&size=500&output_size=512&verbose=0&autoscale=99.500000&catlist=

  outside SDSS footprint

  outside DECaLS footprint

  Slightly more impressive in infrared http://irsa.ipac.caltech.edu/applications/finderchart/#&id=Hydra_finderchart_finder_chart&projectId=finderchart&UserTargetWorldPt=4.28375;81.58333;EQ_J2000&subsize=0.195556&sources=DSS,SDSS,2MASS,IRIS,WISE&DoSearch=true

  http://ned.ipac.caltech.edu/cgi-bin/objsearch?search_type=Obj_id&objid=59916&objname=2&img_stamp=YES&hconst=73.0&omegam=0.27&omegav=0.73&corr_z=1

  Posted July 25, 2017 6:36 AM

• by Ghost_Sheep_SWR in response to Budgieye's comment.

  I can't seem to open your Quora link.

  I guess you mean the Schwarzschild Radius of this thing. If my calculations are correct the Rs of SDSS J010013.02+280225.8 is just under 16 times the radius of Solar System (assuming the orbit of Neptune is border = 30.10 AU).

  And according to Wiki this isn't the largest SMBH, it gives an example of NGC 4889 which has a black hole with nearly twice the radius of SDSS J010013.02+280225.8. But they probably mean the largest SMBH in the early universe, makes a difference ofcourse.

  ---

  Homework

  Units are meter, kilogram and seconds unless specified otherwise (yay metric system FTW!)

  Schwarzschild Radius (answer is in meters): (2GM)/c^2

  G gravitational constant = 6.67*10^-11

  c^2 = speed of light squared = 9*10^16

  Mass of Sun = 1.989*10^30

  M = Mass of SDSS J010013.02+280225.8 = 12 billion times mass of Sun = 2.3868*10^40

  Diameter of Solar System = 30.10 AU = 0.000475956473007 Lightyear (arbitrary but who cares 😉 )

  Schwarzschild Radius of SDSS J010013.02+280225.8 = 0.003739423726586 ly

  Diameter of SDSS J010013.02+280225.8 = 2 * Schwarzschild Radius = 0.007478847452 ly

  Diameter of SDSS J010013.02+280225.8 divided by diameter of Solar System ~ 15.71 Solar System

  Let me know if I made a mistake

  ---

  https://en.wikipedia.org/wiki/Schwarzschild_radius

  http://www.rmg.co.uk/sites/default/files/import/P16 Calculating the size of a black hole.pdf

  EDIT: QUORA LINK

  Oh wow, taking ~30 aU was way too conservative, applying 80 AU makes it nowhere near 20 times Solar system?

  Posted July 25, 2017 11:09 AM

• by Budgieye moderator

  Nice math. I find the sizeof the black hole amazing.

  I can't seem to post the link so that it works.

  https://www.quora.com/Which-one-is-bigger-S5-0014+81-or-Sagittarius-A*

  Posted July 25, 2017 1:20 PM

• by Ghost_Sheep_SWR in response to Budgieye's comment.

  But where did you get the estimate of ~ 20 times size of the Solar system though? If my math is correct and using 80 AU for Solar system it is nowhere near ~20 times?

  Link doesn't work with * at the end, does work when hyperlinked in a text 😃

  QUORA LINK

  Posted July 25, 2017 1:37 PM

• by Budgieye moderator

  It is in the link that doesn't work. I will copy from the website

  S5 0014+81

  Mass — 40 billion M☉[1] (meaning 40 billion times the mass of the
  Sun).

  Schwarzschild radius — 118,194,200,000 km (790.079 AU, where the
  Earth–Sun distance is 1 AU).

  Diameter — 236,388,400,000 km (1580.16 AU).

  Below I have calculated how much bigger S5 0014+81 is than our Solar
  System given certain assumptions of the size of the Solar System:

  Solar System of 80 AU in diameter[3] — S5 0014+81 is 19.75 times
  larger than our Solar System.

  Solar System of 150 AU in diameter[4] — S5 0014+81 is 10.53 times
  larger than our Solar System.

  Solar System of 180 AU in diameter[5] — S5 0014+81 is 8.78 times
  larger than our Solar System.

  Posted July 25, 2017 10:14 PM

• by Ghost_Sheep_SWR in response to Budgieye's comment.

  Yes I see where the confusion comes from; your first quote in your first post is from a SMBH 12 billion times the mass of the Sun, the one above is 40 billion times the mass of the Sun.

  Calculation method remains exactly the same ofcourse.

  Posted July 25, 2017 10:23 PM