Ballistic Coefficient Estimation for Reentry Prediction of Rocket Bodies in Eccentric Orbits Based on TLE Data

Spent rocket bodies in geostationary transfer orbit (GTO) pose impact risks to the Earth’s surface when they reenter the Earth’s atmosphere. To mitigate these risks, reentry prediction of GTO rocket bodies is required. In this paper, the reentry prediction of rocket bodies in eccentric orbits based on only Two-Line Element (TLE) data and using only ballistic coefficient (BC) estimation is assessed. The TLEs are preprocessed to filter out outliers and the BC is estimated using only semimajor axis data. The BC estimation and reentry prediction accuracy are analyzed by performing predictions for 101 rocket bodies initially in GTO and comparing with the actual reentry epoch at different times before reentry. Predictions using a single and multiple BC estimates and using state estimation by orbit determination are quantitatively compared with each other for the 101 upper stages.

[1]  J. Kiefer,et al.  Asymptotic Minimax Character of the Sample Distribution Function and of the Classical Multinomial Estimator , 1956 .

[2]  Tim Flohrer,et al.  Re-entry prediction of spent rocket bodies in GTO , 2016 .

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

[4]  H. Krag,et al.  Improving ESA's Collision Risk Estimates by an Assessment of the TLE orbit Errors of the US SSN Catalogue , 2009 .

[5]  Kenneth Moe,et al.  Gas-surface interactions and satellite drag coefficients , 2005 .

[6]  Luciano Anselmo,et al.  Re-Entry Predictions for Uncontrolled Satellites: Results and Challenges , 2013 .

[7]  K. Schatten,et al.  Orbit Decay Prediction Sensitivity to Solar Flux Variations , 2007 .

[8]  J. Bennett,et al.  Estimation of ballistic coefficients of low altitude debris objects from historical two line elements , 2013 .

[9]  Tim Flohrer,et al.  Processing two line element sets to facilitate re-entry prediction of spent rocket bodies from geostationary transfer orbit , 2016 .

[10]  T. Lips,et al.  Scarab -a Multi-Disciplinary Code for Destruction Analysis of Space-Craft during Re-Entry , 2005 .

[11]  Paul B. Hays,et al.  An empirical model of the Earth's horizontal wind fields: HWM07 , 2008 .

[12]  E. Mooij GOCE STATISTICAL RE-ENTRY PREDICTIONS , 2017 .

[13]  J. M. Picone,et al.  Thermospheric densities derived from spacecraft orbits: Accurate processing of two‐line element sets , 2005 .

[14]  Hugh G. Lewis,et al.  Deriving Accurate Satellite Ballistic Coefficients from Two-Line Element Data , 2012 .

[15]  E. Doornbos EVALUATION OF SATELLITE AERODYNAMIC AND RADIATION PRESSURE ACCELERATION MODELS USING ACCELEROMETER DATA , 2016 .

[16]  Mark Conde,et al.  High‐latitude ionospheric drivers and their effects on wind patterns in the thermosphere , 2013 .

[17]  Benjamin Bastida Virgili,et al.  Improved SSA Through Orbit Determination of Two-Line Element Sets , 2013 .

[18]  A. K. Anilkumar,et al.  Engineering Notes Integrated Model for Prediction of Reentry Time of Risk Objects , 2015 .

[19]  Felix R. Hoots,et al.  Models for Propagation of NORAD Element Sets , 1980 .

[20]  A. Morselli,et al.  A high order method for orbital conjunctions analysis: Sensitivity to initial uncertainties , 2014 .

[21]  Laura Aivar Garcia,et al.  OPERA: A tool for lifetime prediction based on orbit determination from TLE data , 2014 .

[22]  Holger Krag,et al.  Assessment and Categorization of TLE Orbit Errors for the US SSN Catalogue , 2008 .

[23]  William Marshall,et al.  Improved orbit predictions using two-line elements , 2010, 1002.2277.

[24]  Jim Fletcher Jeyakodi David,et al.  Lifetime Estimation of the Upper Stage of GSAT-14 in Geostationary Transfer Orbit , 2014, International scholarly research notices.

[25]  Bruce R. Bowman,et al.  High Accuracy Satellite Drag Model (HASDM) , 2002 .

[26]  M. Mutyalarao,et al.  On prediction of re-entry time of an upper stage from GTO , 2011 .

[27]  R. Russell,et al.  Ballistic Coefficient Prediction for Resident Space Objects , 2012 .

[28]  P. Cefola,et al.  Reentry Time Prediction Using Atmospheric Density Corrections , 2005 .

[29]  T. S. Kelso,et al.  Revisiting Spacetrack Report #3 , 2006 .

[30]  M. J. Walker,et al.  A set modified equinoctial orbit elements , 1985 .

[31]  R. Sharma,et al.  Optimal Reentry Time Estimation of an Upper Stage from Geostationary Transfer Orbit , 2010 .