Williams, B.J., Chomiuk, L., Hewitt, J.W., Blondin, J.M., Borkowski, K.J., Ghavamian, P., Petre, R. and Reynolds, S.P. (2016) An X-Ray and Radio Study of the Varying Expansion Velocities in Tycho Supernova Remnant. ApJ, 823, L32.

has been cited by the following article:

• TITLE: Padé Approximant for the Equation of Motion of a Supernova Remnant

  AUTHORS: Lorenzo Zaninetti

  KEYWORDS: Supernovae: General, ISM: Supernova Remnants, Supernovae: Individual (Tycho), Supernovae: Individual (Cas A), Supernovae: Individual (Cygnus Loop), Supernovae: Individual (SN 1006)

  JOURNAL NAME: Journal of High Energy Physics, Gravitation and Cosmology, Vol.3 No.1, December 28, 2016

  ABSTRACT: In this paper we derive three equations of motion for a supernova remnant (SNR) in the framework of the thin layer approximation using the Padé approximant. The circumstellar medium is assumed to follow a density profile of either an exponential type, a Gaussian type, or a Lane-Emden (n = 5) type. The three equations of motion are applied to four SNRs: Tycho, Cas A, Cygnus loop, and SN 1006. The percentage error of the Padé approximated solution is always less than 10%. The theoretical decrease of the velocity over ten years for SNRs is evaluated.