Work

An Equivariant Filter for Spacecraft Nonlinear Relative Navigation with Range and Bearing Measurements

Year: 2026

Type: preprint

Abstract: Relative navigation is a fundamental task in space proximity operations and autonomous rendezvous. The nonlinear relative orbital dynamics are equivariant and admit a semidirect product Lie group symmetry. This property is used to design an Equivariant Filter (EqF). The filter estimates the relative position and velocity between a chaser spacecraft and a target by lifting the filter dynamics to the group, while respecting the underlying geometry of the problem. Simulations demonstrate the filter's performance and effectiveness.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.13094

Authors: Serrano, Gil, Guerreiro, Bruno J., Lourenço, Pedro, Cunha, Rita

Language: English

Topic: Spacecraft Dynamics and Control

Subfield: Aerospace Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7212807481

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