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Mean Anomaly

Also known as: M

Quick answer

Mean anomaly is a satellite's position along its orbit expressed as a uniform angle: the fraction of the period elapsed since perigee, times 360°. It advances at a constant rate even though the satellite itself speeds up and slows down — the clean timekeeping variable of orbital mechanics.

📘 Full definition✓ Reviewed 2026-09-07
Mean anomaly (M) answers "where along its orbit is the satellite?" in the mathematically simplest way: it grows uniformly from 0° at perigee to 360° one period later, advancing at the mean motion rate regardless of the satellite's actual varying speed. It is the position element carried in every TLE — paired with the epoch, it pins down exactly where the object was at the element set's timestamp, and propagation is essentially "advance M at the mean rate, then convert to a real position". That conversion runs through two companion angles: solving Kepler's equation turns mean anomaly into eccentric anomaly, which then yields the true anomaly — the satellite's actual geometric angle from perigee. For a circular orbit all three coincide; the more eccentric the orbit, the further mean anomaly leads or lags the true position, by tens of degrees at Molniya-class eccentricities.
Range
0°–360°
Rate
Constant (= mean motion)
At Perigee
0°
Keplerian Element
#6 of 6

Understanding Mean Anomaly

The propagation pipeline

Every position you see on a tracking globe traces the same path: take the TLE's mean anomaly at epoch, add mean motion times elapsed time, solve Kepler's equation for eccentric anomaly, convert to true anomaly, then combine with the orbit's size, shape and orientation elements to get coordinates. SGP4 wraps this skeleton with perturbation corrections — drag, oblateness, lunisolar effects — but uniform-advancing mean anomaly remains the engine at its core.

Phasing constellations by mean anomaly

Constellation designers space satellites within a plane by assigning them evenly separated mean anomalies — eight satellites 45° of M apart share one orbit like beads on a rotating ring. Walker constellation notation extends this with a phasing offset between adjacent planes, so the whole shell interleaves: mean anomaly is the coordinate in which that choreography is written.

See it live Constellation planes phased by mean anomaly — watch the bead-chain geometry live. Open Live Globe →
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Frequently Asked Questions

Because time is what propagators know. Real angular position obeys no simple formula against time, but mean anomaly does — it just accumulates at a constant rate. Keeping the awkwardness confined to one well-studied conversion (Kepler's equation) makes orbit prediction fast and stable.
M = E − e·sin E — the link between mean anomaly and eccentric anomaly for an ellipse. It has no closed-form solution for E, so propagators solve it iteratively; Newton's method converges in a few steps for all practical eccentricities, billions of times a day inside tracking systems.
Mean is the clock (uniform), true is the geometry (the real angle from perigee as seen from Earth's centre), and eccentric is the mathematical bridge between them defined on the orbit's auxiliary circle. They agree at perigee and apogee and diverge most in between.

Sources & References

Definitions are reviewed against primary sources. Last reviewed: 2026-09-07.