AUI-PHY 407 · PLANETARY CONTEXT

One star. Eight worlds. A shared origin.

Explore the planets, build an orbit, and follow the nebular model from cloud to planetary system.

t = 0.00 years
COMPARE THE FAMILIES

Inner and outer planets

Property Inner terrestrial Outer giants
Members Mercury, Venus, Earth, Mars Jupiter, Saturn, Uranus, Neptune
Material Rock and metal dominate Jupiter/Saturn: H–He dominated; Uranus/Neptune: larger fractions of heavier compounds
Surface Solid rocky surfaces No accessible solid surface like Earth's
Size and density Smaller; generally higher bulk density Larger; generally lower bulk density
Orbits Smaller semi-major axes and shorter years Larger semi-major axes and longer years
Rings and moons No rings; zero to a few moons All have rings and multiple moons

“Ice giant” describes bulk composition, not a planet made of ordinary frozen ice. The asteroid belt lies mainly between Mars and Jupiter. Pluto is a dwarf planet in the trans-Neptunian region, not a ninth member of the eight-planet sequence.

WORKED EXAMPLE & PRACTICE

Predict an orbital period.

For a small body orbiting a one-solar-mass star, with a in AU and T in years: T² ≈ a³. At a = 4 AU, T = √64 = 8 years. Eccentricity changes the speed distribution around the orbit, but not this period at fixed a.

What is T, in years, for a = 9 AU around a one-solar-mass star?

Hint and solution

T = a³ᐟ² = 9³ᐟ² = 27 years. For a star of mass M in solar masses and negligible orbiting mass, use T² = a³/M.

Investigate and explain

Choose e = 0.6 in Kepler’s laboratory. Compare the two equal-time sectors near perihelion and aphelion. Why are their shapes different while their areas are equal? Then double a and check that T increases by 2³ᐟ², not by 2.