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

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.