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This paper introduces a new analytical method for the determination of thecoverage area modeling the Earth as an oblate ellipsoid of rotation. Startingfrom the knowledge of the satellite's position vector and the direction of thenavigation antenna line of sight, the surface generated by the intersection ofthe oblate ellipsoid and the assumed conical field of view is decomposed inmany ellipses, obtained by cutting the Earth's surface with every planecontaining the navigation antenna line of sight. The geometrical parameters ofeach ellipse can be derived analytically together with the points intersectionof the conical field of view with the ellipse itself by assuming a proper valueof the half-aperture angle or the minimum elevation angle from which thesatellite can be considered visible from the Earth's surface. The method can beapplied for different types of pointing (geocentric, geodetic and generic)according to the mission requirements. Finally, numerical simulations comparethe classical spherical approach with the new ellipsoidal method in thedetermination of the coverage area, and also show the dependence of thecoverage errors on some relevant orbital parameters.

Coverage Area Determination for Conical Fields of View Considering an Oblate Earth