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Planetary Rings Rings are swarms of orbiting particles • Orbits have to be very circular • Elliptical orbits will result in collisions, destroying the ring Rings Have to be Very Flat • Inclined orbits will result in collisions and destruction of the ring Rings have to be Equatorial • Tilted orbits precess; the plane of the orbit rotates due to the planet’s equatorial bulge, other satellites, and the Sun’s gravity A tilted ring won’t stay flat very long • Particle orbits will precess at different rates • Collisions will soon destroy the ring Rings, Gaps, and Resonances • When two objects return to the same relative positions regularly, they are said to be in resonance • Some resonances are stable. Mercury’s 3:2 resonance between its rotation and its orbit is an example. • Pluto’s period is 3/2 that of Neptune’s. This resonance keeps the two planets from ever colliding even though their orbits cross. Rings, Gaps, and Resonances • Some resonances create gaps. There are no asteroids with one-half Jupiter’s period because repeated pulls by Jupiter eventually would change the asteroid’s orbit. • Gaps in Saturn’s rings are due to resonances with Saturn’s satellites. Shepherd Moons Shepherd Moons help maintain the sharp edges of rings A Shepherd Moon Outside a Ring Tends to Drag Stray Particles Back, Causing Them to Fall Back Into the Ring Outer Shepherd Moon A Shepherd Moon Inside a Ring Tends to Speed Stray Particles Up, Causing Them to Rise Back Into the Ring Inner Shepherd Moon Rings Are Probably Short-Lived • Gravity of the Sun and planet’s satellites constantly disturbs orbits of particles • Collisions probably happen frequently • Particles should drift out of the ring • Rings around outer planets have probably come and gone repeatedly during history of Solar System