equation 19.19 eq:newt-conservative

open in the book · parts/03-classical-mechanics/02-newtonian-dynamics.tex:828

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depends_on phenomenon 19.33 Mechanical energy is conserved ¶
depends_on proposition 27.20 Conservation of energy ¶
depends_on theorem 19.32 Conservation of energy ¶
- depends_on phenomenon 50.6 No material surface ¶
- depends_on phenomenon 19.33 Mechanical energy is conserved ¶ ↺
- 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 ¶

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Edges

type	direction	node	provenance	where
`depends_on`	←	Mechanical energy is conserved	declared	parts/03-classical-mechanics/02-newtonian-dynamics.tex:956
`depends_on`	←	Conservation of energy	declared	parts/03-classical-mechanics/10-central-forces-statics.tex:600
`depends_on`	←	Conservation of energy	declared	parts/03-classical-mechanics/02-newtonian-dynamics.tex:887