What does this research mean for the field?

An integrated framework combining a polynomial-based nonlinear model predictive control scheme and a double high-order filter significantly reduces fuel consumption and improves state estimation accuracy for cislunar station-keeping compared to conventional methods. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

To develop an integrated guidance and navigation framework for cislunar station-keeping that dynamically selects fuel-efficient orbits while accurately estimating spacecraft states.

August 30, 2026Journal of Guidance Control and Dynamics

Station-Keeping for Periodic Orbit Manifolds in Cislunar Space via a Polynomial Approach

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Authors

MAMohammed AtallahDamietta University SSSimone ServadioIowa State University

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Implication

Computational modeling demonstrates reduced fuel consumption and faster estimation convergence in cislunar spacecraft, highlighting a viable polynomial framework for libration point station-keeping.

Key Points

To develop an integrated guidance and navigation framework for cislunar station-keeping that dynamically selects fuel-efficient orbits while accurately estimating spacecraft states.
Formulated a nonlinear model predictive control scheme using a reduced-order multivariate polynomial regression model to dynamically select the most fuel-efficient reference orbit within a periodic orbit family.
Paired the controller with a double high-order filter based on differential algebra to process line-of-sight and range measurements under nonadditive Gaussian noise.
Modeled orbital dynamics using the circular restricted three-body problem and evaluated performance across Monte Carlo numerical simulations.
Substantially reduced propellant consumption compared to conventional station-keeping methods targeting fixed reference orbits.
Achieved faster convergence speed and higher steady-state tracking accuracy using the polynomial-based differential algebra filter.
Demonstrated robust closed-loop stability and reliability across diverse initial conditions in Monte Carlo analyses.

Cite This Study

Atallah et al. (2026) studied this question.

synapsesocial.com/papers/6a93f0c06c1a8fb52e79d35d https://doi.org/10.2514/1.g009763

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Implication

Computational modeling demonstrates reduced fuel consumption and faster estimation convergence in cislunar spacecraft, highlighting a viable polynomial framework for libration point station-keeping.

Station-Keeping for Periodic Orbit Manifolds in Cislunar Space via a Polynomial Approach

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Member takes

Implication

Key Points

Cite This Study

Station-Keeping for Periodic Orbit Manifolds in Cislunar Space via a Polynomial Approach

Discussion

Member takes

Implication

Key Points

Cite This Study

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