Linking Sky-plane Observations of Moving Objects

TL;DR

This paper introduces rapid orbit-fitting and linking algorithms for sky-plane observations, significantly enhancing the efficiency and accuracy of asteroid detection and tracking across multiple observation sites.

Contribution

The paper presents the PUMA and PUMALINK algorithms, which are faster and more accurate than existing methods for orbit fitting and detection linkage in asteroid surveys.

Findings

PUMA executes orbit fitting in about a millisecond, much faster than current methods.

PUMALINK achieves approximately 90% detection probability with less than 10% false alarms using two nights.

Detection and linkage improve with three or more nights of observations.

Abstract

The Asteroid Terrestrial-impact Last Alert System (ATLAS) observes the visible sky every night in search of dangerous asteroids. With four soon five) sites ATLAS is facing new challenges for scheduling observations and linking detections to identify moving asteroids. Flexibility in coping with diverse observation sites and times of detections that can be linked is critical, as is optimization of observing time for coverage versus depth. We present new algorithms to fit orbits rapidly to sky-plane observations, and to test and link sets of detections to find the ones which belong to moving objects. The PUMA algorithm for fitting orbits to angular positions on the sky executes in about a millisecond, orders of magnitude faster than the methods currently in use by the community, without sacrifice in accuracy. The PUMALINK algorithm to find linkages among sets of detections has similarities to other approaches, notably HelioLinC, but it functions well at asteroid ranges of a small fraction of an AU. Candidate linkages are checked by the PUMA library to test that the detections correspond to a real orbit, even at close range, and the false alarm rate is manageable. We present the results of tests of PUMALINK on three datasets which illustrate PUMALINK's effectiveness and economy: 2 weeks of all ATLAS detections over the sky, 2 weeks of special ATLAS opposition observations with long exposure time, and 2 weeks of simulated LSST asteroid observations. Testing only pairs of nights PUMALINK achieves approximately 90% detection probability for real objects while keeping the false alarm rate below 10%. Both numbers improve greatly when PUMALINK is given a third night.