Astronomical Algorithms Tonight's night sky · animate time with Play
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Planets distances (MKm) Planets distances (MKm) Planets Planets
PLANETS DISTANCES (MKm)
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Constellations elements
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Stars
Orbits Orbits Orbits
Orbits
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Axes

Semi-major Axis

Half the longest diameter of an orbit — sets the orbital size and period.

Definition

The semi-major axis a is half the length of the orbit's major axis — the longest diameter of the ellipse. For planets, a is commonly expressed in astronomical units (AU). Earth's a ≈ 1 AU.

Kepler's third law

The sidereal period P (years) and semi-major axis a (AU) are linked by P² = a³. Doubling the distance makes the period 2√2 ≈ 2.8 times longer.

3D illustration

The major axis spans perihelion to aphelion; a is half that distance.

Use the menu and time controls to explore. Based on Jean Meeus' Astronomical Algorithms.