phenomenon 52.17 The Hertzsprung–Russell diagram

open in the book · parts/05-general-relativity-cosmology/11-stellar-structure-nucleosynthesis.tex:1165 · p. 1400

phenomenon-tested: no experiment declares a \tests edge to it and it is not listed in untested.txt

Rests on

depends_on equation 68.2 eq:bb-stefan-boltzmann ¶
depends_on equation 52.23 eq:stellar-homology-luminosity ¶
depends_on phenomenon 52.12 The mass–luminosity relation ¶
- depends_on equation 52.2 eq:stellar-hydrostatic ¶
- depends_on equation 52.17 eq:stellar-radiative-gradient ¶
- depends_on proposition 52.1 Hydrostatic equilibrium of a self-gravitating sphere ¶
  - depends_on proposition 31.16 Hydrostatic balance ¶
    - depends_on definition 31.1 Fluid ¶
      - depends_on theorem 30.18 Cauchy: the stress tensor exists ¶
    - depends_on theorem 30.21 Cauchy's equation of motion ¶
      - depends_on theorem 7.133 Gauss ¶
      - depends_on theorem 30.18 Cauchy: the stress tensor exists ¶ ↺
      - proves proof ch:13-continuum-elasticity@proof-9 ¶
    - proves proof ch:14-fluid-dynamics@proof-7 ¶
  - proves proof ch:11-stellar-structure-nucleosynthesis@proof-1 ¶
- depends_on proposition 52.9 Radiative diffusion ¶
  - depends_on equation 68.2 eq:bb-stefan-boltzmann ¶ ↺
  - proves proof ch:11-stellar-structure-nucleosynthesis@proof-6 ¶
- proves proof ch:11-stellar-structure-nucleosynthesis@proof-8 ¶
proves proof ch:11-stellar-structure-nucleosynthesis@proof-13 ¶

Supports

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Neighborhood

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Edges

type	direction	node	provenance	where
`cites`	→	Über die Verwendung photographischer effektiver Wellenlängen zur Bestimmung von Farbenäquivalenten	derived	parts/05-general-relativity-cosmology/11-stellar-structure-nucleosynthesis.tex:1172
`cites`	→	Relations Between the Spectra and other Characteristics of the Stars ast;	derived	parts/05-general-relativity-cosmology/11-stellar-structure-nucleosynthesis.tex:1172
`depends_on`	→	eq:bb-stefan-boltzmann	declared	parts/05-general-relativity-cosmology/11-stellar-structure-nucleosynthesis.tex:1176
`depends_on`	→	eq:stellar-homology-luminosity	declared	parts/05-general-relativity-cosmology/11-stellar-structure-nucleosynthesis.tex:1176
`depends_on`	→	The mass–luminosity relation	declared	parts/05-general-relativity-cosmology/11-stellar-structure-nucleosynthesis.tex:1176
`proves`	←	ch:11-stellar-structure-nucleosynthesis@proof-13	declared	parts/05-general-relativity-cosmology/11-stellar-structure-nucleosynthesis.tex:1180