= Phase protection of interior integer resonances
{title2=$\phi=k\lambda_p-\lambda-(k-1)\varpi$}
In a high-<orbital eccentricity> interior $k:1$ <mean-motion resonance>, the <resonant argument> $\phi=k\lambda_p-\lambda-(k-1)\varpi$ places successive rotating-frame <apocentres> at $\pi-[\phi+(2j+1)\pi]/k$. Avoiding <astronomical conjunction> at these slow outer excursions favors $\phi=0$ for $k=2$ and $\phi=\pi$ for $k=3$. This geometrical phase protection suggests stable <resonant-argument libration> centres; actual dynamical stability requires the resonant perturbation problem.
Back to article page
