1983
DOI: 10.1086/160958
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The luminosity-core mass relation - Why and how

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Cited by 17 publications
(20 citation statements)
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“…The increase in the luminosity with decreasing hydrogen mass fraction was also found in analytical studies by Tuchman et al (1983) and with numerical calculations of steady hydrogen burning on white dwarfs by Tuchman & Truran (1998). They studied the dependence of luminosity on the hydrogen mass fraction for a fixed metallicity (Z = 0.25) and for a constant He/H ratio (assumed to be solar, ≈0.1), and summarized their dependences by the relation L(L ) = 5.2 × 10 4 [M c /M − 0.205 − 0.5(X − Z)].…”
Section: Core Mass-luminosity Relationsupporting
confidence: 69%
“…The increase in the luminosity with decreasing hydrogen mass fraction was also found in analytical studies by Tuchman et al (1983) and with numerical calculations of steady hydrogen burning on white dwarfs by Tuchman & Truran (1998). They studied the dependence of luminosity on the hydrogen mass fraction for a fixed metallicity (Z = 0.25) and for a constant He/H ratio (assumed to be solar, ≈0.1), and summarized their dependences by the relation L(L ) = 5.2 × 10 4 [M c /M − 0.205 − 0.5(X − Z)].…”
Section: Core Mass-luminosity Relationsupporting
confidence: 69%
“…As shown by Refsdal & Weigert (1970) and Tuchman et al (1983), the existence of an M c − L relation requires an inert transition region below the convective envelope where the luminosity remains constant and where the temperature, pressure, density, and radius present a steep dependence on the mass coordinate. In stars experiencing HBB, this transition region is absent because H burning extends into the convective envelope.…”
Section: The Interpulse Phasementioning
confidence: 95%
“…We see that the FST model achieves a maximum luminosity which is ∼70% larger than the corresponding value of the MLT17 model. This behaviour can be seen as an extreme case of the break-down of the core mass vs. luminosity relation which occurs when the hydrogen burning region is not detached from the convective region (Tuchman et al 1983;Blöcker & Schönberner 1991).…”
Section: The Influence Of the Convective Modelmentioning
confidence: 99%