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Modelling Type Ia Supernova Light Curves



Bert W. Rust, Dianne M. O'Leary, Katharine M. Mullen


Type Ia supernova light curves are characterized by a rapid rise from zero luminosity to a peak value, followed by a slower quasi-exponential decline. The rise and peak last for a few days, while the decline persists for many months. It is widely believed that the decline is powered by the radioactive decay chain Ni-56 --> Co-56 --> Fe-56, but the rates of decline in luminosity do not exactly match the decay rates of Ni and Co. In 1976, Rust, Leventhal, and McCall [Nature, Vol 262, pp. 118-120] presented evidence that the declining part of the light curve is well modelled by a linear combination of two exponentials whose decay rates were proportional to, but not exactly equal to, the decay rates for Ni and Co. The proposed reason for the lack of agreement between the rates was that the radioactive decays take place in the interior of a white dwarf star, at densities much higher than any encountered in a terrestrial environment, and that these higher densities accelerate the two decays by the same factor. This paper revisits this model, demonstrating that a variant of it provides excellent fits to observed luminosity data from 6 supernovae.
Exponential Data Fitting and its Applications
Publisher Info
Bentham Science Publishers, Oak Park, IL


nonlinear regression, supernova light curves, variable projection method, VARPRO


Rust, B. , O'Leary, D. and Mullen, K. (2010), Modelling Type Ia Supernova Light Curves, Exponential Data Fitting and its Applications, Bentham Science Publishers, Oak Park, IL, [online], (Accessed April 20, 2024)
Created September 15, 2010, Updated February 19, 2017