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The Center of the Milky Way. Louis Gao Boston Latin School 5.12.07 Chandra Astrophysics Institute. Introduction. Milky Way is “home galaxy” Naturally a topic of interest among astronomers X-ray, radio telescopes reveal extremely energetic object behind dust clouds obscuring galactic core
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The Center of the Milky Way Louis Gao Boston Latin School 5.12.07 Chandra Astrophysics Institute
Introduction • Milky Way is “home galaxy” • Naturally a topic of interest among astronomers • X-ray, radio telescopes reveal extremely energetic object behind dust clouds obscuring galactic core • Something fearfully powerful at the center of the galaxy? • (How big is it, anyway?) • Black Holes? • Intrinsically mysterious • Indiscriminately destructive? • (What if one was in Milky Way?)
The Anatomy of the Black Hole • The “black hole” is region of space from which nothing returns • (black region at right) • The “accretion disk” is layer of infalling material • friction causes light emission (multi-colored region at right) • Event horizon • “point of no return”
Methods • Galactic center inaccessible by visible telescopes • CXO (X-ray) images • SAOImage DS9 to analyze CXO images • Light Curve Analysis Tool • Graph of “Photon Density” vs. Time • BH Mass • Mass, radius of “black” portion of black hole precisely, directly correlated • 3 km additional radius per solar mass • Angular Size • Sun very large, moon very small, same size in night sky? • Angular (apparent) size based on distance, actual size of the object • Light Travel Time • Light has finite speed– how long for light to travel across an object?
Results (Mass Radius) • Mass SGR A*: 3.7 million solar masses (Ghez et al., 2004) • If 3 km radius per solar mass, then Radius: 11.1 x 106 km • 11.1 x 106 km = 1.11 x 1010 m!
Results (Angular Size) • Two factors combine for Angular Size • Actual size (If it IS smaller, looks smaller) • Distance (If it’s far away, looks smaller) • Radius of circle = 2.338 computer pixels • Each pixel in CXO image = 0.492 arcseconds • Distance to Galactic Core: 8 parsec (Reid 1993) • Can use this information to reverse-solve for distance! • Final calculation for radius: 1.37 x 1015 m! Left: Distance (X) and actual size (Y) combine for an apparent size. An increase in X OR a decrease in Y reduces the apparent size of the object. Left: SGR A* is located within the green circle, the properties of which are shown in the window.
Results (Light Travel Time) • Sgr A* (center of the galaxy) • Light Curve indicates “flares” approx. every 50,000-60,000 sec. (14-16 hours) • “Flares” themselves approximately 6,000 seconds in width • Big flare also 6,000 seconds in width • If flare instant, then 6,000 seconds for light to go across SGR A*-- must have diameter of 6,000 light seconds! (radius 3,000 ls!) • 3,000 ls = 9 x 1011 meters! Left: SAOImage DS9 Light Curve of SGR A*, with magnified flare circled in RED. Right: Magnified flare from left, showing clearly the duration of about 6,000 seconds.
Analysis/Discussion • Mass Radius estimate: 1.11 x 1010 meters • Angular Size estimate: 1.37 x 1015 meters • Light Travel Time estimate: 9.0 x 1011 meters • Comparison • Earth Orbit: 1.5 x 1011 meters • SGR A* is very large… • Distance to Alpha Centauri (nearest star to Sun): 3.6 x 1016 meters • Any of estimates feasible via this metric • However… • Periapsis of closest star to SGR A*: 2.24 x 1012 meters (Ghez et al. 2004) • Angular Size estimate implies passage of star THROUGH SGR A*, effectively impossible (therefore invalid) • LTT, MR estimates still fit this observation
Analysis / Discussion (cont’d) • LTT estimate ignores inability for direct passage of light through BH core • Cannot compensate for this, light mechanics around edge of BH not completely known • Therefore, LTT estimate inherently unreliable, imprecise (but good, for the most part, if only 1 order of magnitude off from “accurate” SR estimate) • MR estimate bounds precise radius of event horizon • Event horizon not what is seen when observing imagery of SGR A* • However, estimate bounds meaningful portion of BH
Wait! - • These three methods do not all measure the same thing! • Mass Radius only measures BLACK portion of black hole (accretion disk not relevant to MR) • Light Travel Time only measures VISIBLE part of black hole (cannot use LTT on invisible part) • Angular size only measures PHOTOGRAPHED part of black hole (can only measure what is in the image) • The three figures for size will all be different.
Conclusions • Radius of SGR A* somewhere between 1010 – 1011 m • Further precision almost impossible • Angular size estimates completely inaccurate w/ existing images due to imaging issues • Even very small (point) sources of light look large in CXO • LTT argument imprecise with BH due to light mechanics • Only realistic avenue for further refinement: mass determination • Gravitational effects on nearby objects
Acknowledgements • Thanks to: • NASA • Chandra X-ray Observatory • CAI Staff • For … everything! Yeah! • Viewers Like You • Thank You!