proposition 49.17 Magnetic-dipole spin-down

open in the book · parts/05-general-relativity-cosmology/08-compact-stars.tex:1082 · p. 1353

Rests on

depends_on definition 29.13 Inertia tensor, continuum form ¶
- depends_on definition 7.125 Multiple integral ¶
  - depends_on axiom 7.1 Completeness of $\R$ ¶
  - depends_on definition 7.39 Darboux sums and the definite integral ¶
    - depends_on axiom 7.1 Completeness of $\R$ ¶ ↺
- depends_on definition 13.5 Tensor under orthogonal transformations ¶
  - depends_on definition 13.4 Orthogonal coordinate transformation ¶
    - depends_on definition 13.3 Orthogonal coordinate system ¶
- depends_on definition 19.42 Inertia tensor ¶
  - depends_on definition 13.5 Tensor under orthogonal transformations ¶ ↺
  - depends_on definition 19.41 Moment of inertia about an axis ¶
    - depends_on definition 19.39 Body ¶
      - depends_on definition 18.4 Body ¶
      - depends_on definition 19.3 Mass ¶
    - depends_on definition 19.3 Mass ¶ ↺
depends_on equation 29.12 eq:rigid-kinetic-energy ¶
depends_on phenomenon 65.1 An accelerated charge radiates ¶
proves proof ch:08-compact-stars@proof-12 ¶

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type	direction	node	provenance	where
`depends_on`	→	Inertia tensor, continuum form	declared	parts/05-general-relativity-cosmology/08-compact-stars.tex:1101
`depends_on`	→	eq:rigid-kinetic-energy	declared	parts/05-general-relativity-cosmology/08-compact-stars.tex:1101
`depends_on`	→	An accelerated charge radiates	declared	parts/05-general-relativity-cosmology/08-compact-stars.tex:1101
`proves`	←	ch:08-compact-stars@proof-12	declared	parts/05-general-relativity-cosmology/08-compact-stars.tex:1105