Application of attributables to the correlation of surveillance radar measurements

Reihs, Benedikt; Vananti, Alessandro; Schildknecht, Thomas; Siminski, Jan; Flohrer, Tim

doi:10.1016/j.actaastro.2021.01.059

Cited by 15 publications

(8 citation statements)

References 9 publications

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“…Looking at the literature, this problem has indeed received considerable attention in the last years. There are a number of metrics that can be used such as the Mahalanobis distance (Hall and Singla, 2019) and techniques that can help when several measurements are present, such as the use of attributables (Vananti et al, 2017;Reihs et al, 2021), but these do not explicitly take into account the possibility of manoeuvring objects, which is critical since small orbital corrections can produce outsized state discrepancies at the long term. This problem is tackled in Singh et al (2012);Holzinger et al (2012) computing (by means of optimal control) the minimum possible manoeuvre that connects the previous orbit with the new measurements.…”

Section: Reachability Analysismentioning

confidence: 99%

“…Thus, the starting inputs are the precise orbit of the objects (premanoeuvre) and a radar track (possible, post-manoeuvre), and the output is the probability of a manoeuvre having happened. As a first step, the theory of attributables (Vananti et al, 2017;Reihs et al, 2021) is introduced; it allows to "compress" several plots into a single, higher-quality measurement, fitting a full track into a single polynomial expression whose order needs to be determined.…”

Section: Reachability-based Manoeuvre Detection Algorithmsmentioning

confidence: 99%

“…We use attributables to condense the information of all plots in each track (Reihs et al, 2021). A radar provides range ρ, range rate ρ, elevation El and azimuth Az, that, coupled with the chosen reference epoch t, form the attributable…”

Section: Attributablesmentioning

confidence: 99%

“…This method manages to average out noise and reduce the standard deviation of the virtual measurement. Following the nomenclature in Reihs et al (2021), the set of equations that allows to solve the parameters in the sense of least-squares is:…”

Section: Attributablesmentioning

confidence: 99%

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Manoeuvre detection in Low Earth Orbit with Radar Data

Montilla¹,

Sanchez²,

Vázquez³

et al. 2022

Preprint

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This work outlines and assesses several methods for the detection of manoeuvres in Low Earth Orbit (LEO) from surveillance radar data. To be able to detect manoeuvres, the main starting assumption is that the object under analysis has an orbit known with a sufficient degree of precision. Based on the precise (a posteriori) orbit and radar data, several manoeuvre detection methods are presented; one is based on unscented Kalman filtering, whereas two others algorithms are based on reachability analysis of the state, which correlates its prediction set with the next track from the radar. The filtering algorithm can be extended for several radar tracks, whereas the reachability-based methods are more precise in detecting manoeuvres. Then, to inherit the best properties of both classes of algorithms, a manoeuvre detection filter that combines both concepts is finally presented. Manoeuvre detection results are presented first for simulated scenarios-for validation and calibration purposes-and later for real data. Radar information comes from the Spanish Space Surveillance Radar (S3TSR), with real manoeuvre information and high-quality ephemerides. The results show promise, taking into account that a single surveillance radar is the only source of data, obtaining manoeuvre detection rates of more than 50% and false positive rates of less than 10%.

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Section: Reachability Analysismentioning

confidence: 99%

Section: Reachability-based Manoeuvre Detection Algorithmsmentioning

confidence: 99%

Section: Attributablesmentioning

confidence: 99%

Section: Attributablesmentioning

confidence: 99%

See 2 more Smart Citations

Manoeuvre detection in Low Earth Orbit with Radar Data

Montilla¹,

Sanchez²,

Vázquez³

et al. 2022

Preprint

View full text Add to dashboard Cite

show abstract

“…In this case, the choice of the reference frame in which the regression is performed is crucial to limit the dependency of the regression order on passage duration and shape. A detailed analysis for range and Doppler radars is illustrated in [32].…”

Section: ˆmentioning

confidence: 99%

Robust initial orbit determination for short-arc Doppler radar observations

Losacco¹,

Armellin²,

Yanez³

et al. 2022

Preprint

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A new Doppler radar initial orbit determination algorithm with embedded uncertainty quantification capabilities is presented. The method is based on a combination of Gauss' and Lambert's solvers. The whole process is carried out in the Differential Algebra framework, which provides the Taylor expansion of the state estimate with respect to the measurements' uncertainties. This feature makes the approach particularly suited for handling data association problems. A comparison with the Doppler integration method is performed using both simulated and real data. The proposed approach is shown to be more accurate and robust, and particularly suited for short-arc observations.

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Track-to-track association methodology for operational surveillance scenarios with radar observations

2022

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This paper proposes a novel track-to-track association methodology able to detect and catalogue resident space objects (RSOs) from associations of uncorrelated tracks (UCTs) obtained by radar survey sensors. It is a multi-target multi-sensor algorithm approach able to associate data from surveillance sensors to detect and catalogue objects. The association methodology contains a series of steps, each of which reduces the complexity of the combinational problem. The main focus are real operational environments, in which brute-force approaches are computationally unaffordable. The hypotheses are scored in the measurement space by evaluating a figure of merit based on the residuals of the observations. This allows us to filter out most of the false hypotheses that would be present in brute-force approaches, as well as to distinguish between true and false hypotheses. The suitability of the proposed track-to-track association has been assessed with a simulated scenario representative of a real operational environment, corresponding to 2 weeks of radar survey data obtained by a single survey radar. The distribution and evolution of the hypotheses along the association process is analysed and typical association performance metrics are included. Most of the RSOs are detected and catalogued and only one false positive is obtained. Besides, the rate of false positives is kept low, most of them corresponding to particular cases or objects with high eccentricity or limited observability.

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Application of attributables to the correlation of surveillance radar measurements

Cited by 15 publications

References 9 publications

Manoeuvre detection in Low Earth Orbit with Radar Data

Manoeuvre detection in Low Earth Orbit with Radar Data

Robust initial orbit determination for short-arc Doppler radar observations

Track-to-track association methodology for operational surveillance scenarios with radar observations

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