example 29.23 The polar moment of the Earth, and what it reveals

open in the book · parts/03-classical-mechanics/12-rigid-body-rotating-frames.tex:658 · p. 983

example -- no derivation owed by its kind

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 table 29.1 tab:rigid-moments ¶

Supports

depends_on phenomenon 29.34 Free nutation of the Earth ¶

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`	→	Inertia tensor, continuum form	declared	parts/03-classical-mechanics/12-rigid-body-rotating-frames.tex:676
`depends_on`	→	tab:rigid-moments	declared	parts/03-classical-mechanics/12-rigid-body-rotating-frames.tex:676
`depends_on`	←	Free nutation of the Earth	declared	parts/03-classical-mechanics/12-rigid-body-rotating-frames.tex:1109