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We see many examples in our galaxy and in others of radiation sources that may be associated with black holes in binary star systems. The top right figure shows a Chandra X-ray Telescope image of X-rays from the elliptical galaxy NGC 4697. Superposed on a diffuse glow of X-rays are many point sources of strong X-rays. These are accreting X-ray binary systems, and each of these points of X-ray light probably represents the location of either a neutron star or a stellar-mass black hole in NGC 4697. The question is how to tell which ones are black holes and which are neutron stars.
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To make a strong case that the unseen companion is a black hole, we must rule out the possibility that it is a neutron star. The surest way to do this is to measure the mass of the unseen companion and demonstrate that it is higher than the upper limit for a neutron star, leaving a black hole as the only plausible explanation. In principle, it is possible to use Kepler's third law to determine the mass of the unseen companion by making careful measurements on the binary system. In practice, we have seen that such determinations are difficult, and only in some favorable cases can they be done reliably. Nevertheless, an impressive list of binary systems where there is an unseen companion likely to be a black hole has been accumulated. The preceding table lists the strongest candidates in our galaxy. A step-by-step description of how it was concluded that the X-ray source Cygnus X-1 is a binary star system containing a black hole is given in the following section.
| 1. In the early 1970s an X-ray source was discovered in Cygnus and designated Cygnus X-1. |
| 2. In 1972, a radio source was found in the same general area and it was identified optically with a blue supergiant star called HDE226868. Correlations in the radio activity of HDE226868 and the X-ray activity of Cygnus X-1 implied that the two were related, probably as parts of a binary system. |
| 3. Measurements of the radial velocity of HDE226868 using the Doppler shift confirmed that it was a member of a binary with a period of 5.6 days. The details of the orbital geometry were further confirmed by observations of periodic brightening of HDE226868 and a periodic decrease in X-ray intensity from Cygnus X-1 correlated with the same 5.6-day period. |
| 4. Detailed analysis of the X-ray spectrum showed that the X-ray source was fluctuating in intensity on timescales as short as 1/1000 of a second. Since signals passing through the object controlling the fluctuation are limited by the speed of light, this implies that the X-ray source must be very compact, probably no more than hundreds of kilometers in diameter (we shall discuss this connection between period of variability and size further when we consider active galaxies and quasars in Chapter 25). From the compact size and the orbital perturbation on HDE226868 and the strong X-ray emission, it was apparent that Cygnus X-1 was a compact object (white dwarf, neutron star, or black hole). |
| 5. The mass of the blue supergiant HDE226868 was estimated from known properties of such stars (it is a spectrum and luminosity class O9.7Iab star). This, coupled with Kepler's third law and assumptions about the geometry of the binary, can be used to estimate the mass of the unseen, compact companion. These estimates are uncertain because the geometry (tilt of the binary orbit) can only partially be inferred by using information such as the presence or absence of eclipses. However, all such estimates place a lower limit of about 5-6 solar masses on the unseen companion, and more likely indicate a mass near 10 solar masses. |
| 6. Since we know of no conditions that would permit a neutron star to exist above about 3-4 solar masses (or a white dwarf above about 1.4 solar masses), we conclude that the unseen companion must be a black hole. |
Although this chain of reasoning is indirect, it builds a very strong case that Cygnus X-1 contains a black hole. Some remain skeptical, but most astronomers believe the black hole explanation to be the most consistent one for this system.