Measuring the undetectable

Proper motions and parallaxes of very faint sources

Dustin Lang, David W. Hogg, Sebastian Jester, Hans Walter Rix

    Research output: Contribution to journalArticle

    Abstract

    The near future of astrophysics involves many large solid-angle, multi-epoch, multiband imaging surveys. These surveys will, at their faint limits, have data on a large number of sources that are too faint to be detected at any individual epoch. Here, we show that it is possible to measure in multi-epoch data not only the fluxes and positions, but also the parallaxes and proper motions of sources that are too faint to be detected at any individual epoch. The method involves fitting a model of a moving point source simultaneously to all imaging, taking account of the noise and point-spread function (PSF) in each image. By this method it is possible to measure the proper motion of a point source with an uncertainty close to the minimum possible uncertainty given the information in the data, which is limited by the PSF, the distribution of observation times (epochs), and the total signal-to-noise in the combined data. We demonstrate our technique on multi-epoch Sloan Digital Sky Survey (SDSS) imaging of the SDSS Southern Stripe (SDSSSS). We show that with our new technique we can use proper motions to distinguish very red brown dwarfs from very high-redshift quasars in these SDSS data, for objects that are inaccessible to traditional techniques, and with better fidelity than by multiband imaging alone. We rediscover all 10 known brown dwarfs in our sample and present nine new candidate brown dwarfs, identified on the basis of significant proper motion.

    Original languageEnglish (US)
    Pages (from-to)4400-4411
    Number of pages12
    JournalAstronomical Journal
    Volume137
    Issue number5
    DOIs
    StatePublished - May 2009

    Fingerprint

    proper motion
    time measurement
    point source
    point spread functions
    point sources
    astrophysics
    quasars
    measuring
    method

    Keywords

    • astrometry
    • methods: statistical
    • quasars: general
    • stars: kinematics
    • stars: low-mass, brown dwarfs
    • techniques: image processing

    ASJC Scopus subject areas

    • Space and Planetary Science
    • Astronomy and Astrophysics

    Cite this

    Measuring the undetectable : Proper motions and parallaxes of very faint sources. / Lang, Dustin; Hogg, David W.; Jester, Sebastian; Rix, Hans Walter.

    In: Astronomical Journal, Vol. 137, No. 5, 05.2009, p. 4400-4411.

    Research output: Contribution to journalArticle

    Lang, Dustin ; Hogg, David W. ; Jester, Sebastian ; Rix, Hans Walter. / Measuring the undetectable : Proper motions and parallaxes of very faint sources. In: Astronomical Journal. 2009 ; Vol. 137, No. 5. pp. 4400-4411.
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