definition A.659 Circular orbit and its index
open in the book ·
appendices/A-long-proofs.tex:32147
· p. 3113
- ground object -- no derivation owed
Rests on
-
depends_on
definition A.658
The orbit function
¶
-
depends_on
equation 27.30
eq:cfs-binet-u
¶
- step_from equation 27.29 eq:cfs-binet-phidot ¶
- step_from equation 27.16 eq:cfs-polar-acceleration ¶
- depends_on equation 19.4 eq:newt-fma ¶
-
depends_on
proposition 27.23
Binet equation
¶
- 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 ¶
-
depends_on
equation 27.30
eq:cfs-binet-u
¶
- depends_on equation A.1050 eq:app-bertrand-orbit ¶
Supports
-
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 ¶
-
depends_on
proposition A.661
The first-order narrowing
¶
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 |
→ | The orbit function | declared | appendices/A-long-proofs.tex:32159 |
depends_on |
→ | eq:app-bertrand-orbit | declared | appendices/A-long-proofs.tex:32159 |
depends_on |
← | The index in terms of the force | declared | appendices/A-long-proofs.tex:32170 |