equation 21.51 eq:lag-energy-dot-cons
open in the book ·
parts/03-classical-mechanics/04-lagrangian-mechanics.tex:1108
- part of a statement or proof
Rests on
No declared or derived dependency edges point away from this node yet.
Supports
-
depends_on
theorem 21.43
Conservation of energy
¶
-
depends_on
proposition 29.36
Three first integrals
¶
- depends_on phenomenon 29.38 Nutation of a released top ¶
-
depends_on
proposition 29.43
The three integrable heavy tops
¶
- depends_on remark 29.45 What integrability buys, and where it stops ¶
- depends_on remark 29.44 The Kovalevskaya integral ¶
- depends_on proposition 29.40 The sleeping top ¶
-
depends_on
theorem 29.37
Reduction to one degree of freedom
¶
- depends_on phenomenon 29.38 Nutation of a released top ¶ ↺
- depends_on proposition 29.40 The sleeping top ¶ ↺
- depends_on remark 29.42 The closed form, and the mathematics it needs ¶
- depends_on theorem 27.10 Lagrange–Dirichlet ¶
-
depends_on
proposition 29.36
Three first integrals
¶
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 |
← | Conservation of energy | declared | parts/03-classical-mechanics/04-lagrangian-mechanics.tex:1175 |