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trinitree88
2018-May-11, 04:12 PM
The usefulness of type1a supernova light curves as standard candles in distance calibrations, depends upon their error bars. Many useful curve-matching techniques have been annotated in recent years. Here's another. The author, Tuguldur Sukhbold, plots three parameters vs time:
1. The bolometric luminosity Lbol...total energy across the entire spectrum
2. The instantaneous radioactive decay power Lγ..loss of internal energy as it converts to kinetic energy and radiates away
3. the heating rate H

He notes that the bolometric luminosity curve crosses the decay power curve twice, at points A and B, and discovers a relationship between the times for points A and B. For a wide range of parameters, the time when the power curve crosses the bolometric luminosity curve for the second time (B), is ~ 1. 7 times the time for A. The primary implication of the finding is that this suggests that the bolometric luminosity 15 days after peak must be very close to the instantaneous radioactive decay luminosity...in other words: Lbol (t15)=Lγ(t15)...and it may serve as a simple tool to connect the Width Luminosity Relationship...Phillips et al 1999

SEE: Figure 1

SEE:https://arxiv.org/abs/1805.03712
pete

Jerry
2018-May-26, 09:26 PM
The curves are so nearly parallel at point "B" that it would take tight observation cycles under good conditions to exploit the relationship; (for supernovea calibrations).