equation 27.47 eq:cfs-conic
open in the book ·
parts/03-classical-mechanics/10-central-forces-statics.tex:1091
- part of a statement or proof
Rests on
No declared or derived dependency edges point away from this node yet.
Supports
-
depends_on
phenomenon 27.35
Kepler's third law
¶
- 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 proposition A.666 Both exceptional laws close every bounded orbit ¶
- depends_on proposition 27.34 Eccentricity, energy and semi-major axis ¶
- depends_on proposition 27.39 The Laplace–Runge–Lenz vector is the orbit ¶
-
depends_on
theorem 27.41
Bertrand
¶
- depends_on phenomenon 27.42 Planetary orbits do not close exactly ¶
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 |
← | Kepler's third law | declared | parts/03-classical-mechanics/10-central-forces-statics.tex:1215 |
depends_on |
← | Both exceptional laws close every bounded orbit | declared | appendices/A-long-proofs.tex:32506 |
depends_on |
← | Eccentricity, energy and semi-major axis | declared | parts/03-classical-mechanics/10-central-forces-statics.tex:1135 |
depends_on |
← | The Laplace–Runge–Lenz vector is the orbit | declared | parts/03-classical-mechanics/10-central-forces-statics.tex:1436 |
depends_on |
← | Bertrand | declared | parts/03-classical-mechanics/10-central-forces-statics.tex:1498 |