What is the estimated mass flow in relativistic jets from black holes?

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SUMMARY

The estimated mass flow in relativistic jets from black holes can be derived using the Lorentz factor and total energy flow. According to the paper by Marscher, the Lorentz factor is approximately 50, with a total energy flow of 1046 ergs/sec. By calculating the energy per electron (0.511 MeV/c2), one can determine the total MeV flow per second and subsequently calculate the number of electrons emitted per second. This approach provides a framework for estimating mass flow rates in relativistic jets.

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mcjosep
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I have done a little reading on relativistic jets coming out of black holes. No where could I find a hypothetical amount of mass getting launched out of the poles. I was looking for an "amount per second" estimate. I know that it probably differs depending on how large the BH is, I am just curious as to what the number could be.
 
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This paper derives some formulas from which the mass flow might be estimated:
http://arxiv.org/pdf/0909.2576.pdf

But they don't carry out any such calculations.

This paper provides some numbers for the Lorentz factor (=50) and the total energy flow (10^46 ergs/sec):
http://www.bu.edu/blazars/paperstodownload/marscher_michiganjets.pdf

So if you assume that everything is an electron, then the total energy of each electron is gamma*mc^2, where the electron mass is 0.511 MeV/c^2 for each one, times 50 for the total energy.

1 erg = 624,150 MeV/c^2 ... so now you can determine the total MeV flow per second, and divide by the amount per electron ... and you have electrons per second.
 

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