remark 29.42 The closed form, and the mathematics it needs

Rests on

• depends_on remark 28.66 The exact period is an elliptic integral ¶
  • depends_on equation 28.67 eq:osc-pendulum-amplitude ¶
• depends_on theorem 29.37 Reduction to one degree of freedom ¶
  • depends_on proposition 29.36 Three first integrals ¶
    • depends_on equation 29.35 eq:rigid-top-lagrangian ¶
    • depends_on theorem 21.36 Conservation of the conjugate momentum ¶
      • depends_on definition 21.35 Cyclic coordinate ¶
      • depends_on equation 21.39 eq:lag-el-conservative ¶
      • depends_on equation 21.43 eq:lag-generalized-momentum ¶
      • proves proof ch:04-lagrangian-mechanics@proof-8 ¶
    • depends_on theorem 21.43 Conservation of energy ¶
      • depends_on equation 21.51 eq:lag-energy-dot-cons ¶
      • depends_on equation 21.46 eq:lag-energy-h ¶
      • depends_on theorem 19.32 Conservation of energy ¶
        • depends_on definition 19.31 Energy ¶
        • depends_on equation 19.19 eq:newt-conservative ¶
        • depends_on equation 19.4 eq:newt-fma ¶
        • proves proof ch:02-newtonian-dynamics@proof-9 ¶
      • proves proof ch:04-lagrangian-mechanics@proof-11 ¶
    • proves proof ch:12-rigid-body-rotating-frames@proof-23 ¶
  • depends_on theorem 7.23 Intermediate value theorem ¶
    • depends_on axiom 7.1 Completeness of $\R$ ¶
    • depends_on definition 7.20 Continuity at a point ¶
      • depends_on definition 7.16 Limit ¶
        • depends_on definition 7.2 Absolute value ¶
        • depends_on definition 7.9 Real function ¶
      • depends_on equation 7.7 eq:ana-limit-left ¶
      • depends_on equation 7.5 eq:ana-limit-right ¶
    • proves proof ch:05-real-analysis@proof-8 ¶
  • proves proof ch:12-rigid-body-rotating-frames@proof-24 ¶

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