Space Debris Tracking with the Poisson Labeled Multi-Bernoulli Filter

This paper presents a Bayesian filter based solution to the Space Object (SO) tracking problem using simulated optical telescopic observations. The presented solution utilizes the Probabilistic Admissible Region (PAR) approach, which is an orbital admissible region that adheres to the assumption of...

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Main Authors: Leonardo Cament, Martin Adams, Pablo Barrios
Format: Article
Language:English
Published: MDPI AG 2021-05-01
Series:Sensors
Subjects:
Online Access:https://www.mdpi.com/1424-8220/21/11/3684
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author Leonardo Cament
Martin Adams
Pablo Barrios
author_facet Leonardo Cament
Martin Adams
Pablo Barrios
author_sort Leonardo Cament
collection DOAJ
description This paper presents a Bayesian filter based solution to the Space Object (SO) tracking problem using simulated optical telescopic observations. The presented solution utilizes the Probabilistic Admissible Region (PAR) approach, which is an orbital admissible region that adheres to the assumption of independence between newborn targets and surviving SOs. These SOs obey physical energy constraints in terms of orbital semi-major axis length and eccentricity within a range of orbits of interest. In this article, Low Earth Orbit (LEO) SOs are considered. The solution also adopts the Partially Uniform Birth (PUB) intensity, which generates uniformly distributed births in the sensor field of view. The measurement update then generates a particle SO distribution. In this work, a Poisson Labeled Multi-Bernoulli (PLMB) multi-target tracking filter is proposed, using the PUB intensity model for the multi-target birth density, and a PAR for the spatial density to determine the initial orbits of SOs. Experiments are demonstrated using simulated SO trajectories created from real Two-Line Element data, with simulated measurements from twelve telescopes located in observatories, which form part of the Falcon telescope network. Optimal Sub-Pattern Assignment (OSPA) and CLEAR MOT metrics demonstrate encouraging multi-SO tracking results even under very low numbers of observations per SO pass.
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spelling doaj.art-35b2519ca8d64620a86dd6091aa2d8192023-11-21T21:22:44ZengMDPI AGSensors1424-82202021-05-012111368410.3390/s21113684Space Debris Tracking with the Poisson Labeled Multi-Bernoulli FilterLeonardo Cament0Martin Adams1Pablo Barrios2Department of Electrical Engineering, Universidad de Chile, Av. Tupper 2007, Santiago 8370451, ChileDepartment of Electrical Engineering, Universidad de Chile, Av. Tupper 2007, Santiago 8370451, ChileDepartment of Electrical Engineering, Universidad de Chile, Av. Tupper 2007, Santiago 8370451, ChileThis paper presents a Bayesian filter based solution to the Space Object (SO) tracking problem using simulated optical telescopic observations. The presented solution utilizes the Probabilistic Admissible Region (PAR) approach, which is an orbital admissible region that adheres to the assumption of independence between newborn targets and surviving SOs. These SOs obey physical energy constraints in terms of orbital semi-major axis length and eccentricity within a range of orbits of interest. In this article, Low Earth Orbit (LEO) SOs are considered. The solution also adopts the Partially Uniform Birth (PUB) intensity, which generates uniformly distributed births in the sensor field of view. The measurement update then generates a particle SO distribution. In this work, a Poisson Labeled Multi-Bernoulli (PLMB) multi-target tracking filter is proposed, using the PUB intensity model for the multi-target birth density, and a PAR for the spatial density to determine the initial orbits of SOs. Experiments are demonstrated using simulated SO trajectories created from real Two-Line Element data, with simulated measurements from twelve telescopes located in observatories, which form part of the Falcon telescope network. Optimal Sub-Pattern Assignment (OSPA) and CLEAR MOT metrics demonstrate encouraging multi-SO tracking results even under very low numbers of observations per SO pass.https://www.mdpi.com/1424-8220/21/11/3684random finite setsspace situational awarenessmulti-target trackingPoisson labeled multi-Bernoulli filter
spellingShingle Leonardo Cament
Martin Adams
Pablo Barrios
Space Debris Tracking with the Poisson Labeled Multi-Bernoulli Filter
Sensors
random finite sets
space situational awareness
multi-target tracking
Poisson labeled multi-Bernoulli filter
title Space Debris Tracking with the Poisson Labeled Multi-Bernoulli Filter
title_full Space Debris Tracking with the Poisson Labeled Multi-Bernoulli Filter
title_fullStr Space Debris Tracking with the Poisson Labeled Multi-Bernoulli Filter
title_full_unstemmed Space Debris Tracking with the Poisson Labeled Multi-Bernoulli Filter
title_short Space Debris Tracking with the Poisson Labeled Multi-Bernoulli Filter
title_sort space debris tracking with the poisson labeled multi bernoulli filter
topic random finite sets
space situational awareness
multi-target tracking
Poisson labeled multi-Bernoulli filter
url https://www.mdpi.com/1424-8220/21/11/3684
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