Treatise of Physics

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theorem 27.41 Bertrand

open in the book · parts/03-classical-mechanics/10-central-forces-statics.tex:1490 · p. 942

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theorem 27.41: Bertrand27.41equation 27.39: eq:cfs-apsidal-angle27.39equation 27.47: eq:cfs-conic27.47phenomenon 27.42: Planetary orbits do not close exactly27.42proof : ch:10-central-forces-statics@prooflink-1proofproposition A.661: The first-order narrowingA.661phenomenon 27.35: Kepler's third law27.35proposition A.666: Both exceptional laws close every bounded orbitA.666proposition 27.34: Eccentricity, energy and semi-major axis27.34proposition 27.39: The Laplace–Runge–Lenz vector is the orbit27.39proof : ch:10-central-forces-statics@proof-24proof

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depends_on → eq:cfs-apsidal-angle declared parts/03-classical-mechanics/10-central-forces-statics.tex:1498
depends_on → eq:cfs-conic declared parts/03-classical-mechanics/10-central-forces-statics.tex:1498
depends_on ← Planetary orbits do not close exactly declared parts/03-classical-mechanics/10-central-forces-statics.tex:1543
proves ← ch:10-central-forces-statics@prooflink-1 declared parts/03-classical-mechanics/10-central-forces-statics.tex:1501