Online Inertia Tensor Identification for Non-Cooperative Spacecraft via Augmented UKF

arXiv cs.RO / 3/31/2026

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Key Points

  • The paper proposes an augmented Unscented Kalman Filter that jointly estimates a non-cooperative spacecraft’s relative 6-DOF pose and its full inertia tensor, addressing failures of standard estimators when mass properties are unknown or uncertain.
  • It fuses monocular visual measurements produced by CNNs with LiDAR depth data to better constrain the coupled rigid-body dynamics during real-time estimation.
  • By augmenting the UKF state with the six independent inertia-tensor elements, the method recovers the target’s normalized mass distribution on-orbit without requiring ground-based pre-calibration.
  • An adaptive process-noise strategy is introduced to maintain numerical stability and physical consistency, preventing covariance collapse while still enabling gradual convergence of the constant inertial parameters.
  • Monte Carlo simulations validate that the approach achieves simultaneous convergence of kinematic states and inertial parameters, improving long-horizon trajectory prediction and guidance robustness in deep-space proximity operations.

Abstract

Autonomous proximity operations, such as active debris removal and on-orbit servicing, require high-fidelity relative navigation solutions that remain robust in the presence of parametric uncertainty. Standard estimation frameworks typically assume that the target spacecraft's mass properties are known a priori; however, for non-cooperative or tumbling targets, these parameters are often unknown or uncertain, leading to rapid divergence in model-based propagators. This paper presents an augmented Unscented Kalman Filter (UKF) framework designed to jointly estimate the relative 6-DOF pose and the full inertia tensor of a non-cooperative target spacecraft. The proposed architecture fuses visual measurements from monocular vision-based Convolutional Neural Networks (CNN) with depth information from LiDAR to constrain the coupled rigid-body dynamics. By augmenting the state vector to include the six independent elements of the inertia tensor, the filter dynamically recovers the target's normalized mass distribution in real-time without requiring ground-based pre-calibration. To ensure numerical stability and physical consistency during the estimation of constant parameters, the filter employs an adaptive process noise formulation that prevents covariance collapse while allowing for the gradual convergence of the inertial parameters. Numerical validation is performed via Monte Carlo simulations, demonstrating that the proposed Augmented UKF enables the simultaneous convergence of kinematic states and inertial parameters, thereby facilitating accurate long-term trajectory prediction and robust guidance in non-cooperative deep-space environments.