proposition 27.23 Binet equation

open in the book · parts/03-classical-mechanics/10-central-forces-statics.tex:680 · p. 932

Rests on

depends_on equation 27.20 eq:cfs-angular-momentum-polar ¶
depends_on equation 27.16 eq:cfs-polar-acceleration ¶
proves proof ch:10-central-forces-statics@proof-14 ¶

Supports

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 ¶
      - depends_on theorem A.664 Bertrand's condition ¶

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`	→	eq:cfs-angular-momentum-polar	declared	parts/03-classical-mechanics/10-central-forces-statics.tex:688
`depends_on`	→	eq:cfs-polar-acceleration	declared	parts/03-classical-mechanics/10-central-forces-statics.tex:688
`depends_on`	←	The orbit function	declared	appendices/A-long-proofs.tex:32139
`proves`	←	ch:10-central-forces-statics@proof-14	declared	parts/03-classical-mechanics/10-central-forces-statics.tex:692