Author(s)

Lorenzo Zaninetti^*

Physics Department, via P. Giuria 1, Turin, Italy.

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.

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

Zaninetti, L. (2017) Padé Approximant for the Equation of Motion of a Supernova Remnant. Journal of High Energy Physics, Gravitation and Cosmology, 3, 79-86. doi: 10.4236/jhepgc.2017.31011.