Satellite Shadow Modeling and Algorithm of Satellite Shadow Parameters for GNSS

• Main Authors: DU Lan, ZHOU Peiyuan, FANG Shanchuan, LIU Zejun, GUO Rui
• Format: Article
• Language: zho
• Published: Surveying and Mapping Press 2016-11-01
• Series: Acta Geodaetica et Cartographica Sinica
• Subjects: satellite eclipse; satellite shadow model; satellite eclipse parameters; perturbation
• Online Access: http://html.rhhz.net/CHXB/html/2016-11-1270.htm

The satellite shadow parameters can be numerically calculated with high accuracy from the positions of the sun, the earth and the specific satellite. Unfortunately, it is difficult for the numerical calculation to give a general profile of the variations and distributions of these parameters for some certain types of orbital spacecraft. A satellite shadow model was presented based on the spatial view at the altitude of the satellite and the correlative geometry amongst the sun, the earth and the satellite. Firstly, the size and location of the satellite shadow were determined by the semi-major axis of the satellite orbit and the annual motion of the apparent sun, respectively. Secondly, the computing formulae of the satellite shadow parameters were derived, together with the correction formulae for the long-term prediction of the parameters due to oblateness perturbation, etc. Examinations on the three types of orbits for the BeiDou navigation constellation show that the proposed satellite shadow model and its shadow parameters computing formulae can provide a prompt profile of the eclipse parameters for the medium-high altitude circular orbit satellites.