Kepler-equation Newton-Raphson iteration: M = E - e sin(E); one Newton step from initial guess E_0 = M

Layer 1 — Physicsin the planetary-physics subtree

Kepler-equation Newton-Raphson framework (Kepler 1621; Newton 1686; Danby 1987 Celest Mech 40, 303). Setup: Kepler's equation M = E - e sin(E) relates the mean anomaly M (linear in time since periapsis, M = n t with n the mean motion 2 pi…

Related concepts

Newton's method
Theorem: Kepler Newton step from E = M gives (M e cos M - M - e sin M) / (e cos M - 1)

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