Secular Resonance

A secular resonance is a type of orbital resonance.

Secular resonances occur when the precession of two orbits is synchronised (a precession of the perihelion, with frequency g, or the ascending node, with frequency s, or both). A small body in secular resonance with a much larger one (e.g. a planet) will precess at the same rate as the large body. Over relatively short time periods (a million years, or so) a secular resonance will change the eccentricity and inclination of the small body.

The effects of secular resonances are most studied in the context of the long-time evolution (millions of years or more) of minor planet orbits within the asteroid belt.

One can distinguish between

  • linear secular resonances between a body and a single other large perturbing body (e.g. a planet), such as the ν6 = g -g6 secular resonance between asteroids and Saturn; and
  • nonlinear secular resonances, which are higher-order resonances, usually combination of linear resonanaces such as the z1 = (g -g6) +(s-s6), or the ν65 =2g -g6-g;5 resonances.

Read more about Secular Resonance:  ν6 Resonance, See Also

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