A unified frequency framework and resonance-parity initialization scheme maps averaged equilibria to symmetric periodic orbits in the HR3BP and CR3BP, producing bifurcation diagrams that trace orbit families.
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An analogy is established between standing surface wave oscillations and a mechanical oscillator, yielding a novel Mathieu-like equation for super-harmonic stability that matches numerical solutions in most cases.
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Linking Averaged and Unaveraged Three-Body Dynamics Near Smaller Primaries: Symmetric Periodic Orbits
A unified frequency framework and resonance-parity initialization scheme maps averaged equilibria to symmetric periodic orbits in the HR3BP and CR3BP, producing bifurcation diagrams that trace orbit families.