proposition 27.39 The Laplace–Runge–Lenz vector is the orbit

open in the book · parts/03-classical-mechanics/10-central-forces-statics.tex:1425 · p. 941

Rests on

Supports

Nothing declares a dependency on this node yet.

Neighborhood

Every logical edge within two steps of this node.

proposition 27.39: The Laplace–Runge–Lenz vector is the orbit27.39equation 27.47: eq:cfs-conic27.47equation 27.48: eq:cfs-eccentricity27.48equation 27.54: eq:cfs-lrl27.54proof : ch:10-central-forces-statics@proof-23proofphenomenon 27.35: Kepler's third law27.35proposition A.666: Both exceptional laws close every bounded orbitA.666proposition 27.34: Eccentricity, energy and semi-major axis27.34theorem 27.41: Bertrand27.41theorem 27.38: Conservation of the Laplace–Runge–Lenz vector27.38

Edges

typedirectionnode provenancewhere
depends_on eq:cfs-conic declared parts/03-classical-mechanics/10-central-forces-statics.tex:1436
depends_on eq:cfs-eccentricity declared parts/03-classical-mechanics/10-central-forces-statics.tex:1436
depends_on eq:cfs-lrl declared parts/03-classical-mechanics/10-central-forces-statics.tex:1436
proves ch:10-central-forces-statics@proof-23 declared parts/03-classical-mechanics/10-central-forces-statics.tex:1439