equation 27.16 eq:cfs-polar-acceleration

open in the book · parts/03-classical-mechanics/10-central-forces-statics.tex:406

Rests on

No declared or derived dependency edges point away from this node yet.

depends_on proposition 27.17 Areal velocity in polar coordinates ¶
depends_on proposition 27.23 Binet equation ¶
- depends_on definition A.658 The orbit function ¶
  - depends_on definition A.659 Circular orbit and its index ¶
    - depends_on lemma A.660 The index in terms of the force ¶
      - depends_on proposition A.661 The first-order narrowing ¶
step_from equation 27.30 eq:cfs-binet-u ¶
- depends_on definition A.658 The orbit function ¶ ↺
- step_from equation 27.46 eq:cfs-orbit-ode ¶

Every logical edge within two steps of this node.

type	direction	node	provenance	where
`depends_on`	←	Areal velocity in polar coordinates	declared	parts/03-classical-mechanics/10-central-forces-statics.tex:477
`depends_on`	←	Binet equation	declared	parts/03-classical-mechanics/10-central-forces-statics.tex:688
`step_from`	←	eq:cfs-binet-u	declared — eliminating $t$ in favour of $\phi$ through $\dot\phi=Lu^{2}/m$ and writing $u=1/r$	parts/03-classical-mechanics/10-central-forces-statics.tex:721