<p>Initial orbit determination (IOD) is an increasingly relevant problem in the cislunar regime, where chaotic dynamics degrade the performance of classical IOD approaches. In this investigation, a framework for an end-to-end cislunar IOD process is presented that incorporates angles-only observations that simulate a chance detection scenario. Enlisting machine learning techniques to assist the complicated cislunar IOD process, this work presents the Machine Classifier for Cislunar Orbit Determination (MCCLOD) model that employs a neural network for infusing information about known multi-body dynamics structure about the circular restricted three-body problem (CRTBP) into the initial state estimation process. The novel MCCLOD IOD process is compared directly with a classical two-body IOD approach (Gooding) for Earth–Moon <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40295_2025_525_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(L_{1}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>L</mi> <mn>1</mn> </msub> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40295_2025_525_Article_IEq2.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(L_{2}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>L</mi> <mn>2</mn> </msub> </math></EquationSource> </InlineEquation> halo orbit examples in a high-fidelity dynamics environment. Two neural network (NN) models are implemented with regression and orbit classification to identify a 6D state estimate given angles-only measurements. The resulting simulations indicate drastic improvement in both accuracy (MCCLOD demonstrates at best two orders of magnitude improvement in positional error performance) and batched least-squares convergence consistency. Although a “classification with regression” NN degrades overall MCCLOD IOD performance, simulations indicate that a hybrid classification NN followed by a regression NN framework yields low position error in tested cislunar IOD problems.</p>

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An Adaptive Approach to Cislunar Initial Orbit Determination Using Machine Learning

  • Juan Ojeda Romero,
  • Wayne Schlei,
  • Gene Whipps,
  • Nick LaFarge,
  • Gunner Fritsch,
  • Sean Phillips

摘要

Initial orbit determination (IOD) is an increasingly relevant problem in the cislunar regime, where chaotic dynamics degrade the performance of classical IOD approaches. In this investigation, a framework for an end-to-end cislunar IOD process is presented that incorporates angles-only observations that simulate a chance detection scenario. Enlisting machine learning techniques to assist the complicated cislunar IOD process, this work presents the Machine Classifier for Cislunar Orbit Determination (MCCLOD) model that employs a neural network for infusing information about known multi-body dynamics structure about the circular restricted three-body problem (CRTBP) into the initial state estimation process. The novel MCCLOD IOD process is compared directly with a classical two-body IOD approach (Gooding) for Earth–Moon \(L_{1}\) L 1 and \(L_{2}\) L 2 halo orbit examples in a high-fidelity dynamics environment. Two neural network (NN) models are implemented with regression and orbit classification to identify a 6D state estimate given angles-only measurements. The resulting simulations indicate drastic improvement in both accuracy (MCCLOD demonstrates at best two orders of magnitude improvement in positional error performance) and batched least-squares convergence consistency. Although a “classification with regression” NN degrades overall MCCLOD IOD performance, simulations indicate that a hybrid classification NN followed by a regression NN framework yields low position error in tested cislunar IOD problems.