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A new method based on the subpixel Gaussian model for accurate estimation of asteroid coordinates

机译:一种基于亚像素高斯模型的精确求解方法   估计小行星坐标

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摘要

We describe a new iteration method to estimate asteroid coordinates, which isbased on the subpixel Gaussian model of a discrete object image. The methodoperates by continuous parameters (asteroid coordinates) in a discreteobservational space (the set of pixels potential) of the CCD frame. In thismodel, a kind of the coordinate distribution of the photons hitting a pixel ofthe CCD frame is known a priori, while the associated parameters are determinedfrom a real digital object image. The developed method, being more flexible inadapting to any form of the object image, has a high measurement accuracy alongwith a low calculating complexity due to a maximum likelihood procedure, whichis implemented to obtain the best fit instead of a least-squares method andLevenberg-Marquardt algorithm for the minimisation of the quadratic form. Since 2010, the method was tested as the basis of our CoLiTec (CollectionLight Technology) software, which has been installed at several observatoriesof the world with the aim of automatic discoveries of asteroids and comets on aset of CCD frames. As the result, four comets (C/2010 X1 (Elenin), P/2011NO1(Elenin), C/2012 S1 (ISON), and P/2013 V3 (Nevski)) as well as more than1500 small Solar System bodies (including five NEOs, 21 Trojan asteroids ofJupiter, and one Centaur object) were discovered. We discuss these results thatallowed us to compare the accuracy parameters of a new method and confirm itsefficiency. In 2014, the CoLiTec software was recommended to all members of theGaia-FUN-SSO network for analysing observations as a tool to detect faintmoving objects in frames.
机译:我们描述了一种新的迭代方法来估算小行星坐标,该方法基于离散对象图像的亚像素高斯模型。该方法通过在CCD帧的离散观测空间(像素电位集)中使用连续参数(小行星坐标)进行操作。在该模型中,先验已知到达CCD帧像素的光子的一种坐标分布,而相关参数是根据真实的数字对象图像确定的。所开发的方法更加灵活,不适合任何形式的目标图像,由于采用了最大似然法,因此具有较高的测量精度以及较低的计算复杂度,该方法的实现是为了获得最佳拟合,而不是用最小二乘法和Levenberg-Marquardt最小化二次形式的算法。自2010年以来,该方法已作为我们的CoLiTec(CollectionLight Technology)软件的基础进行了测试,该软件已安装在世界各地的多个观测站中,旨在自动发现一组CCD框架上的小行星和彗星。结果,共有四颗彗星(C / 2010 X1(Elenin),P / 2011NO1(Elenin),C / 2012 S1(ISON)和P / 2013 V3(Nevski))以及1500多个小太阳系天体(包括发现了5个近地天体,21个木星特洛伊小行星和一个半人马座天体。我们讨论了这些结果,使我们能够比较一种新方法的准确性参数并确认其效率。 2014年,向Gaia-FUN-SSO网络的所有成员推荐了CoLiTec软件,用于分析观察结果,以检测框架中微弱的物体。

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