proposition 52.19 The Hayashi track is nearly vertical
open in the book ·
parts/05-general-relativity-cosmology/11-stellar-structure-nucleosynthesis.tex:1343
· p. 1402
Rests on
-
depends_on
theorem 52.6
Lane–Emden equation
¶
- depends_on equation 52.2 eq:stellar-hydrostatic ¶
- depends_on equation 52.1 eq:stellar-mass-continuity ¶
- depends_on equation 52.7 eq:stellar-polytrope-eos ¶
- proves proof ch:11-stellar-structure-nucleosynthesis@proof-4 ¶
-
depends_on
theorem 52.10
Schwarzschild criterion
¶
- depends_on equation 52.2 eq:stellar-hydrostatic ¶ ↺
- depends_on equation 52.17 eq:stellar-radiative-gradient ¶
- proves proof ch:11-stellar-structure-nucleosynthesis@proof-7 ¶
- proves proof ch:11-stellar-structure-nucleosynthesis@proof-15 ¶
Supports
- depends_on phenomenon 52.21 Technetium in stellar atmospheres ¶
Neighborhood
Every logical edge within two steps of this node.
- declared and complete
- partly declared
- a check failed
- not graded
- declared in the source
- inferred from structure
Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
cites |
→ | Stellar Evolution in Early Phases of Gravitational Contraction | derived | parts/05-general-relativity-cosmology/11-stellar-structure-nucleosynthesis.tex:1354 |
cites |
→ | Stellar Structure and Evolution | derived | parts/05-general-relativity-cosmology/11-stellar-structure-nucleosynthesis.tex:1347 |
depends_on |
→ | Lane–Emden equation | declared | parts/05-general-relativity-cosmology/11-stellar-structure-nucleosynthesis.tex:1355 |
depends_on |
→ | Schwarzschild criterion | declared | parts/05-general-relativity-cosmology/11-stellar-structure-nucleosynthesis.tex:1355 |
depends_on |
← | Technetium in stellar atmospheres | declared | parts/05-general-relativity-cosmology/11-stellar-structure-nucleosynthesis.tex:1600 |
proves |
← | ch:11-stellar-structure-nucleosynthesis@proof-15 | declared | parts/05-general-relativity-cosmology/11-stellar-structure-nucleosynthesis.tex:1358 |