Statistics – Computation
Scientific paper
Apr 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991apj...371..265n&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 371, April 10, 1991, p. 265-276.
Statistics
Computation
6
Gamma Ray Bursts, Interstellar Magnetic Fields, Pulsars, Relativistic Electron Beams, Synchrotron Radiation, Computational Astrophysics, Equations Of Motion, Field Strength, Radiation Spectra
Scientific paper
A rigorous discussion is presented of the classical motion of a relativistic electron in a magnetic field and the resulting electromagnetic radiation when radiation reaction is important. In particular, for an electron injected with initial energy gamma(0), a systematic perturbative solution to the Lorentz-Dirac equation of motion is developed for field strengths satisfying gamma(0) B much less than 6 x 10 to the 15th G. A particularly accurate solution to the electron orbital motion in this regime is found and it is demonstrated how lowest-order corrections can be calculated. It is shown that the total energy-loss rate corresponds to what would be found using the exact Larmor power formula without including radiation reaction. Provided that the particle energy and field strength satisfy the same contraint, it is explicitly demonstrated that the intuitive prescription for calculating the time-integrated radiation spectrum described above is correct.
Nelson William R.
Wasserman Ira
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