Besides, the torsion is
with τ̄Quad =
Proof. We carry out the same computation as in the proof of Lemma 10.3, now up to the order 2 in the r̃j’s. The truncated expression is a trigonometric polynomial in the angles φ̃ j of degree ≤ 4. Eliminating nonresonant monomials, that is, functions of k ⋅ φ with k ⋅ αQuad(0), is a classical matter. Two kinds of terms cannot be eliminated by averaging:
–Monomials in the angle 4φ̃ 4.
–Monomials in φ̃ 1
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