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Home/Astronomy & The Sky/Spin–Orbit Resonance

Spin–Orbit Resonance

Spin–orbit coupling can lock a satellite's rotation to its orbit (1:1 tidal locking, as for the Moon showing one face to Earth) or trap higher-order resonances. Mercury occupies a 3:2 resonance with the Sun: three sidereal rotations per two heliocentric orbits, a consequence of solar tides and orbital eccentricity rather than perfect tidal circularization. The animations here are schematic—Mercury also librates and feels general relativistic perihelion precession not drawn.

Who it's for: Planetary science after Kepler; complements tidal Moon page and Mercury GR precession in gravity.

Key terms

  • Tidal locking
  • Spin–orbit resonance
  • Mercury 3:2
  • Synchronous rotation
  • Moon
  • Tides

Resonance

1×

Measured values

How it works

Tidal locking drives many satellites toward synchronous rotation: the Moon keeps one face toward Earth (1:1 spin–orbit). Mercury is special: solar tides helped trap a 3:2 resonance—three rotations per two heliocentric orbits—so a Mercury solar day is long and the subsolar point drifts oddly. This page is a schematic animation, not a full N-body/torque integration.

Key equations

Moon: ω_spin ≈ ω_orbit · Mercury: 3 T_spin = 2 T_orbit (trapped)

Frequently asked questions

Is Mercury tidally locked 1:1 like the Moon?
No—it is in a 3:2 resonance, so a solar day on Mercury is long and the Sun can appear to move oddly in the sky.
Does this integrate tidal torques?
No—it is qualitative kinematics for classroom intuition.