Gaussian network model

The Gaussian vectors used in astronomy and in space as column vectors of a matrix as an aid to coordinate transformation between coordinates of the rotating equatorial coordinate system and coordinate of the orbital plane. With them a clear relation between the coordinates of a celestial body is given in its orbit around a planet and the position in the space-fixed rotating equatorial coordinate system. With the help of three orbital elements inclination, the argument of the node ( node length) and the argument of periapsis, the three unit vectors, and can be formed.

Shows the center of the planet to the pericentre of the orbit of a celestial body, shows the center of the planet towards the true anomaly at 90 ° and is perpendicular to both vectors. The three vectors define the system of the orbital plane of the celestial body and are the column vectors of the matrix

About the expression

, the three vectors, and the rotating coordinate system equatorial be reproduced, wherein the true anomaly.