Abstract
An expression for the intensity of synchrotron emission from a radio source (in the optically thin regime) in terms of the energy densities in the magnetic field and particles is obtained, based on a definition of a relativistic electron related to its rest energy. A relationship is obtained between the energy densities in particles Ee and the magnetic field EH for a physical system containing a magnetic field and relativistic electrons in a minimum-energy state. A method for estimating the Doppler factors of the relativistic electrons has been developed. This method does not requires that all radio sources have the same radiation energies (brightness temperatures): it is sufficient that the energies of the magnetic fields and relativistic particles in the source be approximately equal. The method yields Doppler-factor estimates with reasonably good accuracy, even when there are modest deviations from energy equipartition in the radio source,making it applicable to many radio sources. The method is used to estimate the Doppler factor of the radio jet in CTA 21.
Similar content being viewed by others
References
V. S. Artyukh, Astrophysics 59, 514 (2016).
M. J. Rees, Nature 211, 468 (1966).
G. Ghisellini, P. Padovani, A. Celotti, and L. Maraschi, Astrophys. J. 407, 65 (1993).
A. C. S. Readhead, Astrophys. J. 426, 51 (1994).
I. I. Kellermann and I. I. K. Pauliny-Toth, Astrophys. J. 155, L71 (1969).
A. Lahteenmaki, E. Valtaoja, and K. Wiik, Astrophys. J. 511, 112 (1999).
A. Lahteenmaki and E. Valtaoja, Astrophys. J. 521, 493 (1999).
T. Savolainen, D. C. Homan, T. Hovatta, et al., Astron. Astrophys. 512, 24 (2010).
Yu. I. Ovsepyan, Phys. Usp. 41, 941 (1998).
M. McGillchrist, J. E. Baldwin, J. M. Riley, et al., Mon. Not. R. Astron. Soc. 246, 110 (1990).
A. G. Pacholczyk, Radio Astrophysics: Nonthermal Processes in Galactic and Extragalactic Sources, A Series of Books in Astronomy and Astrophysics (W. H. Freeman, New York, 1970; Mir,Moscow, 1973).
G. R. Burbidge and E. M. Burbidge, Astrophys. J. 125, 1 (1957).
V. L. Ginzburg and S. I. Syrovatskii, The Origin of Cosmic Rays (Akad. Nauk SSSR, Moscow, 1963; Pergamon, London, New York, 1964).
V. S. Artyukh and P. A. Chernikov, Astron. Rep. 50, 194 (2006).
V. S. Artyukh and V. S. Nedora, Astrophysics 60, 337 (2017).
M. Perucho and J. M. Marti, Astrophys. J. 568, 639 (2002).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 2: The Classical Theory of Fields (Nauka, Moscow, 1988; Pergamon, Oxford, 1975).
V. G. Levich, Course of Theoretical Physics (Fizmatgiz, Moscow, 1962), Vol. 1 [in Russian].
G. Rybicki and A. Lightman, Radiative Processes in Astrophysics (Wiley, New York, 1979).
V. S. Artyukh, Astron. Rep. 62, 436 (2018).
A. P. Marscher, Astrophys. J. 264, 296 (1983).
K. R. Lind and R. D. Blandford, Astrophys. J. 295, 358 (1985).
V. S. Artyukh, Tr. Fiz. Inst. Lebedeva189, 223 (1988).
A. Labiano, P. D. Barthel, C. P. O’Dea, et al., Astron. Astrophys. 463, 97 (2007).
V. S. Artyukh, S. A. Tyul’bashev, and P. A. Chernikov, Astron. Rep. 43, 1 (1999).
D. L. Jones, Astrophys. J. 276, L5 (1984).
V. S. Artyukh, S. A. Tyul’bashev, and P. A. Chernikov, Astron. Rep. 57, 483 (2013).
S. A. Tyul’bashev, Astron. Astrophys. Trans. 26, 663 (2007).
Author information
Authors and Affiliations
Corresponding author
Additional information
Russian Text © V.S. Artyukh, 2019, published in Astronomicheskii Zhurnal, 2019, Vol. 96, No. 3, pp. 179–186.
Rights and permissions
About this article
Cite this article
Artyukh, V.S. Method for Estimating the Doppler Factors of Relativistic Radio Jets. Astron. Rep. 63, 167–173 (2019). https://doi.org/10.1134/S1063772919030016
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063772919030016