How do you calculate the mass of a black hole from Quasi Periodic Oscillations?

The only methods I know are looking for gamma ray bursts in the vicinity of a star of known luminosity (mass). the frequency of the gamma ray fluctuations (from the accretion disc) in intensity give you an idea of the max diam of massive object. d=3x10^8/f

Observe the star for wobble in rotation..variations in spectral shift and their period give the stars orbital period.Then use Kepler3 to work out the mass of the unseen black hole or neutron star. M=w^2*r^3/G. If its inferred diameter is below the Oppenheimer/Chandrasekhar limit for that mass..then its a black hole...or gravitational 'lensing' where a massive body bends spacetime and light to form duplicate images of an object behind. Then do the solar eclipse 1919 Einstein experiment calculation.

For your QPO stuff, I'd imagine that the accretion disc spirals into the BH with a given rotational frequency and that due to chaotic flow/turbulence inhomogeneities is 'lumpy' and that the oscillations are a beat frequency= (fd-fb)/2 or (fd+fb)/2 where fb=intrisic black hole emission frequency and fd= fluctuation frequency of 'lumps'.Cannot work out how to correlate that with black hole mass..or indeed whether this is necessary and sufficient evidence of its presence.(neutron star should do the same!)

Using a calculator,, and some scrap paper..

Problem with black holes is they are constantly increasing,,

so checking your measurements from one minute to the next is very difficult.

I'd use pythagorussian integre denonipraktiko dynamics TO EXTRAPOLATE THE EXPECTED expansion ratio, for predictive interpolative integration.

This technique was recently employed by the russians for some of their secret work in Moscow..

hope this helps.

Better still

actually, as you have found out, the calculation is basic. Any first 365 days astronomy pupil ought to do it. what's confusing is acquiring a competent archives set. the place did you get yours from? i assume you probably did your individual observations because of the fact no person else has

Long and highly technical paper at this website. Might contain what you're looking for in terms of involved math =>http://www.journals.uchicago.edu/doi/full/10.1086/...