Satellite Orbits: Models, Methods and Applications

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Generation of a consistent absolute phase-center correction model for GPS receiver and satellite antennas (2007, positive): “According to Montenbruck and Gill (2000), the precession of the ascending node Ω̇ of a satellite (assuming a circular orbit: e = 0) is given by Ω̇ = −3π J2 T ( Re a )2 · cos i (5) with the orbital period T, the semi-major axis a, the inclination i, the radius of the Earth Re and the oblateness J2.”
Gaussian Sum Filters for Space Surveillance: Theory and Simulations (2011, methodology): “Physical and geometric interpretations of these coordinates aswell as the transformation from equinoctial elements to ECI are provided, for example, inMontenbruck and Gill [11] and Vallado [12].”
Thermospheric Density and Wind Determination from Satellite Dynamics (2012, background): “Another example is radar and laser altimetry [27], where the altitude of the satellite is required to relate the range measurements over changing water and ice levels to the terrestrial reference frame.”