Eccentricity vector

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What Wikipedia says

In celestial mechanics, the eccentricity vector of a Kepler orbit is the dimensionless vector with direction pointing from apoapsis to periapsis and with magnitude equal to the orbit's scalar eccentricity. For Kepler orbits the eccentricity vector is a constant of motion.

Excerpt from the Wikipedia article “Eccentricity vector”, under the CC BY-SA 4.0 license. Read the article on Wikipedia