Vectors (mathematics and physics)

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. For Kepler orbits the eccentricity vector is a constant of motion. Its main use is in the analysis of almost circular orbits, as perturbing (non-Keplerian) forces on an actual orbit will cause the osculating eccentricity vector to change continuously. For the eccentricity and argument of periapsis parameters, eccentricity zero (circular orbit) corresponds to a singularity. The magnitude of the eccentricity vector represents the eccentricity of the orbit. Note that the velocity and position vectors need to be relative to the inertial frame of the central body. (Wikipedia).

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http://www.teachastronomy.com/ Orbital eccentricity is the amount by which an orbit deviates from a circle. Mathematically it's defined as the distance between the two foci of an elliptical orbit divided by the major axis. A circle has an ellipticity, denoted by the little symbol "e", of

From playlist 10. The Solar System

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From playlist New Calculus Video Playlist

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From playlist ASTROPHYSICS 1 BINARY SYSTEMS & KEPLER'S LAWS

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From playlist ASTRONOMY 7B THE SOLAR SYSTEM - COMPARATIVE PLANETOLOGY

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From playlist Quadric, Surfaces, Cylindrical Coordinates and Spherical Coordinates

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From playlist Intermediate Classical Mechanics

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From playlist Summer of Math Exposition Youtube Videos

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From playlist Vector Calculus for Engineers

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Related pages

Osculating orbit | Laplace–Runge–Lenz vector