theorem 52.6 Lane–Emden equation
open in the book ·
parts/05-general-relativity-cosmology/11-stellar-structure-nucleosynthesis.tex:233
· p. 1389
Rests on
- 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 ¶
Supports
-
depends_on
proposition 49.3
Lane–Emden form of hydrostatic equilibrium;
restated from the stellar-structure chapter
¶
-
depends_on
theorem 49.7
The Chandrasekhar mass
¶
- depends_on phenomenon 49.6 A maximum mass for a cold degenerate star ¶
-
depends_on
theorem 49.7
The Chandrasekhar mass
¶
-
depends_on
proposition 52.19
The Hayashi track is nearly vertical
¶
- depends_on phenomenon 52.21 Technetium in stellar atmospheres ¶
- depends_on proposition 52.7 Exact solutions ¶
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 |
|---|---|---|---|---|
depends_on |
→ | eq:stellar-hydrostatic | declared | parts/05-general-relativity-cosmology/11-stellar-structure-nucleosynthesis.tex:249 |
depends_on |
→ | eq:stellar-mass-continuity | declared | parts/05-general-relativity-cosmology/11-stellar-structure-nucleosynthesis.tex:249 |
depends_on |
→ | eq:stellar-polytrope-eos | declared | parts/05-general-relativity-cosmology/11-stellar-structure-nucleosynthesis.tex:249 |
depends_on |
← | Lane–Emden form of hydrostatic equilibrium; restated from the stellar-structure chapter | declared | parts/05-general-relativity-cosmology/08-compact-stars.tex:252 |
depends_on |
← | The Hayashi track is nearly vertical | declared | parts/05-general-relativity-cosmology/11-stellar-structure-nucleosynthesis.tex:1355 |
depends_on |
← | Exact solutions | declared | parts/05-general-relativity-cosmology/11-stellar-structure-nucleosynthesis.tex:292 |
proves |
← | ch:11-stellar-structure-nucleosynthesis@proof-4 | declared | parts/05-general-relativity-cosmology/11-stellar-structure-nucleosynthesis.tex:253 |