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THE PSR 2127+12 AS AN INDICATOR OF A MASSIVE BLACK HOLE IN THE CORE OF GLOBULAR CLUSTER M 15
Pages 316-321

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From page 316...
... . The observed P in the PSR 1821-24 can be connected with the magnetic braldog, while the arrival time analysis in the latter pulsar strongly evidences the Doppler shift due to a motion with acceleration toward the observer.
From page 317...
... If the pulsar acceleration were produced solely by the core potential and not exceeded a maximal value, one could find in principle two possible spatial positions of the pulsar inside the core. The mammal value of the acceleration In the framework of standard King model of M15 cluster structure (see Webbink 1985)
From page 318...
... But the typical event duration is of the order of ~ ~ by ~ 3 · 1Os s and is too short Note that the effect of the Shapiro delay produced by the core itself is estimated quite analogically by substituting r9 for the core and v for the pulsar velocity, and is as large as the effect from the single star with the mean impact parameter , he., is extremely small amplitude although large enough in duration.
From page 319...
... Non I = in* rat rh ~ ~ 710 ~ 7m`3 yr (here r' and rh denote tidal disruption radius of the star and the black hole's capture radius, respectively, and ~ is the velocity dispersion)
From page 320...
... Its mass would exert influence upon only the innermost regions of the core and would not contradict the cluster's age. This idea seems to be further supported by the obsen ations of a steep brightness gradient in the core of M15 the phenomenon predicted by theories of the globular cluster cores having massive post-collapse remnants.
From page 321...
... Hut (eds.~. Dynamics of star clusters IAU Symp 113: 109.


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