Geocentric Solar Ecliptic System

GSE: Geocentric Solar Ecliptic system. This has its X-axis pointing from the Earth toward the Sun and its Y-axis is chosen to be in the ecliptic plane pointing towards dusk (thus opposing planetary motion). Its Z-axis is parallel to the ecliptic pole. Relative to an inertial system this system has a yearly rotation.

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Coordinate transformations:

x = c o s θ

y = r s i n θ c o s ϕ

z = r s i n θ s i n ϕ