Print Email Facebook Twitter A gravity assist mapping for the circular restricted three-body problem using Gaussian processes Title A gravity assist mapping for the circular restricted three-body problem using Gaussian processes Author Liu, Y. (TU Delft Astrodynamics & Space Missions) Noomen, R. (TU Delft Astrodynamics & Space Missions) Visser, P.N.A.M. (TU Delft Space Engineering) Department Space Engineering Date 2021 Abstract Inspired by the Keplerian Map and the Flyby Map, a Gravity Assist Mapping using Gaussian Process Regression for the fully spatial Circular Restricted Three-Body Problem is developed. A mapping function for quantifying the flyby effects over one orbital period is defined. The Gaussian Process Regression model is established by proper mean and covariance functions. The model learns the dynamics of flyby's from training samples, which are generated by numerical propagation. To improve the efficiency of this method, a new criterion is proposed to determine the optimal size of the training dataset. We discuss its robustness to show the quality of practical usage. The influence of different input elements on the flyby effects is studied. The accuracy and efficiency of the proposed model have been investigated for different energy levels, ranging from representative high- to low-energy cases. It shows improvements over the Kick Map, an independent semi-analytical method available in literature. The accuracy and efficiency of predicting the variation of the semi-major axis are improved by factors of 3.3, and 1.27×104, respectively. Subject Gaussian process regressionGravity assist mappingMachine learning To reference this document use: http://resolver.tudelft.nl/uuid:156e4db9-23f4-40d5-a927-e42bcd1536e9 DOI https://doi.org/10.1016/j.asr.2021.06.054 ISSN 0273-1177 Source Advances in Space Research, 68 (6), 2488-2500 Part of collection Institutional Repository Document type journal article Rights © 2021 Y. Liu, R. Noomen, P.N.A.M. Visser Files PDF 1_s2.0_S0273117721005408_main.pdf 1.45 MB Close viewer /islandora/object/uuid:156e4db9-23f4-40d5-a927-e42bcd1536e9/datastream/OBJ/view