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Osculating Elements

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FundamentalsFundamentals
Title Osculating Elements
Author(s) J. Sanz Subirana, J.M. Juan Zornoza and M. Hernández-Pajares, Technical University of Catalonia, Spain.
Level Advanced
Year of Publication 2011

A scheme with the necessary calculations to obtain the osculating orbital elements starting from the position and velocity of a satellite in a geocentric inertial system, and vice-versa, is provided as follows (see figure 1):


Calculation of the orbital elements of the satellite from its position and velocity








Calculation of the position and velocity of the satellite from its orbital elements

Osculating Elem Fig 1.png
(10)


where
Osculating Elem Fig 2.png
(11)



Figure 1: Orbit in space.