proposition 27.34 Eccentricity, energy and semi-major axis

open in the book · parts/03-classical-mechanics/10-central-forces-statics.tex:1124 · p. 938

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Neighborhood

Every logical edge within two steps of this node.

proposition 27.34: Eccentricity, energy and semi-major axis27.34equation 27.47: eq:cfs-conic27.47equation 27.32: eq:cfs-effective-potential27.32equation 27.31: eq:cfs-energy27.31proof : ch:10-central-forces-statics@proof-20proofphenomenon 27.35: Kepler's third law27.35proposition A.666: Both exceptional laws close every bounded orbitA.666proposition 27.39: The Laplace–Runge–Lenz vector is the orbit27.39theorem 27.41: Bertrand27.41example A.572: Rotational reduction of the central-force problemA.572phenomenon 27.26: Bound orbits oscillate between two radii27.26definition 27.25: Effective potential27.25example 27.27: Escape from the Earth27.27

Edges

typedirectionnode provenancewhere
depends_on eq:cfs-conic declared parts/03-classical-mechanics/10-central-forces-statics.tex:1135
depends_on eq:cfs-effective-potential declared parts/03-classical-mechanics/10-central-forces-statics.tex:1135
depends_on eq:cfs-energy declared parts/03-classical-mechanics/10-central-forces-statics.tex:1135
proves ch:10-central-forces-statics@proof-20 declared parts/03-classical-mechanics/10-central-forces-statics.tex:1139