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One can think of the eccentricity as a measure of how much a conic section deviates from being circular. Note that bold text indicates that the quantity is a vector. Eccentricity vector 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

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For kepler orbits the eccentricity vector is a constant of motion. List of common physics notations this is a list of common physical constants and variables, and their notations The eccentricity of an orbit can be calculated from the orbital state vectors as the magnitude of the eccentricity vector

E is the eccentricity vector (hamilton's vector)

Equation kepler's equation solutions for five different eccentricities between 0 and 1 kepler's equation is where is the mean anomaly, is the eccentric anomaly, and is the eccentricity The 'eccentric anomaly' is useful to compute the position of a point moving in a keplerian orbit. This article summarizes equations used in optics, including geometric optics, physical optics, radiometry, diffraction, and interferometry. In orbital mechanics, the eccentric anomaly is an angular parameter that defines the position of a body that is moving along an elliptic kepler orbit, the angle measured at the center of the ellipse between the orbit's periapsis and the current position

The eccentric anomaly is one of three angular parameters (anomalies) that can be used to define a position along an orbit, the other two. Angular eccentricity is not currently used in english language publications on mathematics, geodesy or map projections but it does appear in older literature Such expressions are listed in the following table after the conventional definitions.