Analytic solutions for light curves of supernovae of Type II

Details Analytic solutions for light curves of supernovae of Type II Analytic solutions for light curves of supernovae of Type II

Apr 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980apj...237..541a&link_type=abstract

Astrophysical Journal, Part 1, vol. 237, Apr. 15, 1980, p. 541-549.

Astronomy and Astrophysics

Astrophysics

76

Astronomical Models, Light Curve, Stellar Mass Ejection, Supernovae, Boundary Value Problems, Cobalt Isotopes, Diffusion Theory, Luminous Intensity, Nuclear Fusion, Partial Differential Equations, Scaling Laws, Time Dependence

Scientific paper

By suitable transformations, primarily made to remove homologous expansion, the partial differential equations describing a Type II supernova are reduced to the time-dependent diffusion equation. The behavior of luminosity, effective temperature, B-V color, and fluid velocity is explicitly presented, with dependence on mass, energy of explosion, initial radius, and opacity shown. The solutions allow crude estimates of the mass of ejected matter (about 8 solar masses) and of Co-56 synthesized (about 0.5 solar masses in one case) to be made from observational data. From such solutions it may be possible to infer absolute luminosity from distance-independent characteristics of the event.

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