A shadow function model based on perspective projection and atmospheric effect for satellites in eclipse

[1]  Terence R. F. Nonweiler.  Algorithms: Algorithm 326:Roots of low-order polynomial equations , 1968, CACM.

[2]  S. F. Mello.  Analytical Study of the Earth's Shadowing Effects on Satellite Orbits , 1972 .

[3]  S. Ferraz Mello.  Analytical study of the Earth's shadowing effects on satellite orbits , 1972 .

[4]  Walter G. Kropatsch,et al.  A Perspective Projection Algorithm With Fast Evaluation Of Visibility For Discrete Three-Dimensional Scenes , 1982, Other Conferences.

[5]  P. Farinella,et al.  Solar radiation pressure perturbations for Earth satellites. 1: A complete theory including penumbra transitions , 1993 .

[6]  P. Farinella,et al.  Solar radiation pressure perturbations for Earth satellites II. an approximate method to model penumbra transitions and their long-term orbital effects on LAGEOS , 1994 .

[7]  S. Rickman,et al.  Method for the Calculation of Spacecraft Umbra and Penumbra Shadow Terminator Points , 1995 .

[8]  D. Vallado.  Fundamentals of Astrodynamics and Applications , 1997 .

[9]  B. Neta,et al.  On satellite umbra/penumbra entry and exit positions , 1998 .

[10]  R. Melton.  Fundamentals of Astrodynamics and Applications , 1998 .

[11]  Oliver Montenbruck,et al.  Satellite Orbits: Models, Methods and Applications , 2000 .

[12]  M. Ziebart,et al.  Oblate Earth Eclipse State Algorithm for Low-Earth-Orbiting Satellites , 2004 .

[13]  M. Watkins,et al.  The gravity recovery and climate experiment: Mission overview and early results , 2004 .

[14]  J. Dow,et al.  PRECISE ORBIT DETERMINATION , 2004 .

[15]  Sima Adhya,et al.  Thermal re-radiation modelling for the precise prediction and determination of spacecraft orbits , 2005 .

[16]  Oliver Montenbruck,et al.  Reduced dynamic orbit determination using GPS code and carrier measurements , 2005 .

[17]  C. Rizos,et al.  The International GNSS Service in a changing landscape of Global Navigation Satellite Systems , 2009 .

[18]  Chris Rizos,et al.  The International GNSS Service in a changing landscape of Global Navigation Satellite Systems , 2009 .

[19]  A. A. El-Hameed,et al.  The effects of the Moon's shadow and pre-shadow on the artificial satellites motion , 2011 .

[20]  Jan P. Weiss,et al.  An evaluation of solar radiation pressure strategies for the GPS constellation , 2011 .

[21]  Peter Steigenberger,et al.  Initial assessment of the COMPASS/BeiDou-2 regional navigation satellite system , 2013, GPS Solutions.

[22]  Mohcine Chraibi,et al.  Calculating ellipse overlap areas , 2011, Comput. Vis. Sci..

[23]  Rodríguez Solano,et al.  Impact of non-conservative force modeling on GNSS satellite orbits and global solutions , 2014 .

[24]  M. K. Bhaskar,et al.  Lunar shadow eclipse prediction models for the Earth orbiting spacecraft: Comparison and application to LEO and GEO spacecrafts , 2015 .

[25]  Qile Zhao,et al.  Precise orbit determination for quad-constellation satellites at Wuhan University: strategy, result validation, and comparison , 2016, Journal of Geodesy.

[26]  R. Robertson.  Highly Physical Solar Radiation Pressure Modeling During Penumbra Transitions , 2015 .

[27]  M. H. Shehata,et al.  Eclipse intervals for satellites in circular orbit under the effects of Earth’s oblateness and solar radiation pressure , 2015 .

[28]  Young-Joo Song,et al.  The effect of the Earth’s oblateness on predicting the shadow conditions of a distant spacecraft: Application to a fictitious lunar explorer , 2016 .

[29]  Peter Steigenberger,et al.  GNSS satellite transmit power and its impact on orbit determination , 2018, Journal of Geodesy.

[30]  Photon Pressure Force on Space Debris TOPEX/Poseidon Measured by Satellite Laser Ranging , 2017 .

[31]  M. Ziebart,et al.  Earth Radiation Pressure Modeling for BDS IGSO satellite , 2017 .

[32]  David Harrison,et al.  Fast solar radiation pressure modelling with ray tracing and multiple reflections , 2018 .

[33]  Rui Zhang,et al.  Study of satellite shadow function model considering the overlapping parts of Earth shadow and Moon shadow and its application to GPS satellite orbit determination , 2018, Advances in Space Research.