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Maximizing survey volume for large-area multi-epoch surveys with Voronoi tessellation

Lam, MC (2017) Maximizing survey volume for large-area multi-epoch surveys with Voronoi tessellation. Monthly Notices of the Royal Astronomical Society, 469 (1). pp. 1026-1035. ISSN 0035-8711

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The survey volume of a proper motion-limited sample is typically much smaller than a magnitude-limited sample. This is because of the noisy astrometric measurements from detectors that are not dedicated for astrometric missions. In order to apply an empirical completeness correction, existing works limit the survey depth to the shallower parts of the sky that hamper the maximum potential of a survey. The number of epoch of measurement is a discrete quantity that cannot be interpolated across the projected plane of observation, so that the survey properties change in discrete steps across the sky. This work proposes a method to dissect the survey into small parts with Voronoi tessellation using candidate objects as generating points such that each part defines a ‘mini-survey’ that has its own properties. Coupling with a maximum volume density estimator, the new method is demonstrated to be unbiased and recovered ∼20 per cent more objects than the existing method in a mock catalogue of a white dwarf-only solar neighbourhood with Pan–STARRS 1-like characteristics. Towards the end of this work, we demonstrate one way to increase the tessellation resolution with artificial generating points, which would be useful for analysis of rare objects with small number counts.

Item Type: Article
Additional Information: This article has been accepted for publication in Monthly Notices of the Royal Astronomical Society ©: 2017 The Authors Published by Oxford University Press on behalf of the Royal Astronomical Society. All rights reserved.
Uncontrolled Keywords: 0201 Astronomical And Space Sciences
Subjects: Q Science > QB Astronomy
Q Science > QC Physics
Divisions: Astrophysics Research Institute
Publisher: Oxford University Press
Related URLs:
Date Deposited: 22 Oct 2018 07:56
Last Modified: 04 Sep 2021 02:19
DOI or ID number: 10.1093/mnras/stx903
URI: https://researchonline.ljmu.ac.uk/id/eprint/9505
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