Question

HOW TO DERIVE THE EQUATION OF TIME OF DECENT

Answer 1

Answer:

The formula for time is: T (period) = 1 / f (frequency). λ = c / f = wave speed c (m/s) / frequency f (Hz). The unit hertz (Hz) was once called cps = cycles per second.

Explanation:

Using this theory, the equation of time becomes

Δt = M + λp − α

where the new angles that appear are

M = 2π(t − tp)/tY, is the mean anomaly, the angle from the periapsis of the elliptical orbit to the mean Sun; its range is from 0 to 2π as t increases from tp to tp + tY;

tY = 365.2596358 days is the length of time in an anomalistic year: the time interval between two successive passages of the periapsis;

λp = Λ − M, is the ecliptic longitude of the periapsis;

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