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Central Forces and Statics
Central Forces and Statics
foundations results +7 more equations +25 more phenomena depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) step_from (declared) step_from (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) definition 27.2: Translational equilibrium 27.2 Translational eq… definition 27.3: Rotational equilibrium 27.3 Rotational equil… definition 27.6: Centre of gravity 27.6 Centre of gravity definition 27.13: Central force 27.13 Central force definition 27.14: Central motion 27.14 Central motion definition 27.16: Areal velocity 27.16 Areal velocity definition 27.25: Effective potential 27.25 Effective potent… definition 27.29: Apsidal angle 27.29 Apsidal angle definition 27.37: Laplace–Runge–Lenz vector 27.37 Laplace–Runge–Le… proposition 27.4: Torque balance is independent of the origin 27.4 Torque balance i… proposition 27.7: Centre of gravity in a uniform field 27.7 Centre of gravit… theorem 27.9: Equilibrium is stationarity of the potential energy 27.9 Equilibrium is s… theorem 27.10: Lagrange–Dirichlet 27.10 Lagrange–Dirichl… lemma 27.15: Velocity and acceleration in plane polar coordinates 27.15 Velocity and acc… proposition 27.17: Areal velocity in polar coordinates 27.17 Areal velocity i… proposition 27.18: Conservation of angular momentum 27.18 Conservation of… proposition 27.20: Conservation of energy 27.20 Conservation of… proposition 27.21: Conservation of the areal speed 27.21 Conservation of… proposition 27.22: Relation between the constants of the motion 27.22 Relation between… proposition 27.23: Binet equation 27.23 Binet equation proposition 27.24: Radial form of the energy 27.24 Radial form of t… proposition 27.28: Quadratures of the central problem 27.28 Quadratures of t… equation 27.1: eq:cfs-bac-cab eq. (27.1) equation 27.2: eq:cfs-translational-equilibrium eq. (27.2) equation 27.3: eq:cfs-rotational-equilibrium eq. (27.3) equation 27.6: eq:cfs-gravity-torque eq. (27.6) equation 27.9: eq:cfs-stationary-potential eq. (27.9) equation 27.11: eq:cfs-ladder-torque eq. (27.11) equation 27.13: eq:cfs-central-force eq. (27.13) equation 27.16: eq:cfs-polar-acceleration eq. (27.16) equation 27.15: eq:cfs-polar-velocity eq. (27.15) equation 27.17: eq:cfs-areal-velocity-def eq. (27.17) equation 27.18: eq:cfs-areal-velocity eq. (27.18) equation 27.19: eq:cfs-angular-acceleration eq. (27.19) equation 27.20: eq:cfs-angular-momentum-polar eq. (27.20) phenomenon 27.5: Equilibrium requires two conditions, not one 27.5 Equilibrium requ… phenomenon 27.8: The centre of gravity hangs below the support 27.8 The centre of gr… phenomenon 27.19: Kepler's second law: equal areas in equal times 27.19 Kepler's second… phenomenon 27.26: Bound orbits oscillate between two radii 27.26 Bound orbits osc… phenomenon 27.32: Kepler's first law: bound orbits are closed ellipses 27.32 Kepler's first l… phenomenon 27.35: Kepler's third law 27.35 Kepler's third l… phenomenon 27.42: Planetary orbits do not close exactly 27.42 Planetary orbits… The chain of Central Forces and Statics: 42 of 74 objects, read left to right from what the chapter assumes to what tests it. Solid lines are declared logical edges, dashed ones were inferred from the structure of the source. Click any node to open its own chain.