equation 19.38 eq:newt-cm-position
open in the book ·
parts/03-classical-mechanics/02-newtonian-dynamics.tex:1374
- part of a statement or proof
Rests on
No declared or derived dependency edges point away from this node yet.
Supports
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depends_on
lemma 19.57
The centre of mass is the origin of its own frame
¶
- depends_on corollary 19.59 Decomposition of the kinetic energy ¶
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depends_on
theorem 19.58
Decomposition of the angular momentum
¶
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depends_on
theorem 19.63
The spin obeys the same law about the centre of mass
¶
- depends_on phenomenon 19.65 Spin is conserved when no external torque acts ¶
- depends_on theorem 19.68 Conservation of angular momentum ¶
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depends_on
theorem 19.63
The spin obeys the same law about the centre of mass
¶
- depends_on theorem 19.63 The spin obeys the same law about the centre of mass ¶ ↺
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depends_on
proposition 27.7
Centre of gravity in a uniform field
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- depends_on example 27.11 The ladder against a wall ¶
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depends_on
theorem 27.30
Reduction of the two-body problem
¶
- depends_on phenomenon 27.32 Kepler's first law: bound orbits are closed ellipses ¶
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depends_on
phenomenon 27.35
Kepler's third law
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- depends_on phenomenon 50.5 Black-hole masses from gravitational waves ¶
- depends_on phenomenon 50.1 Dark companions too massive to be neutron stars ¶
- depends_on phenomenon 50.2 Four million solar masses inside the orbit of a single star ¶
- depends_on phenomenon 50.1 Dark companions too massive to be neutron stars ¶ ↺
- depends_on phenomenon 50.2 Four million solar masses inside the orbit of a single star ¶ ↺
- depends_on theorem 19.44 Parallel axes; Steiner ¶
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Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
← | The centre of mass is the origin of its own frame | declared | parts/03-classical-mechanics/02-newtonian-dynamics.tex:1717 |
depends_on |
← | Centre of gravity in a uniform field | declared | parts/03-classical-mechanics/10-central-forces-statics.tex:189 |
depends_on |
← | Reduction of the two-body problem | declared | parts/03-classical-mechanics/10-central-forces-statics.tex:982 |
depends_on |
← | Parallel axes; Steiner | declared | parts/03-classical-mechanics/02-newtonian-dynamics.tex:1290 |