From 6df722ba6c4bf8acd4ee35991353450b006cbef3 Mon Sep 17 00:00:00 2001 From: quan787 Date: Wed, 28 Sep 2022 04:48:31 +0800 Subject: [PATCH] 2022-09-28 --- docs/.vitepress/config.js | 6 +++ docs/meteor/concepts.md | 2 +- docs/meteor/concepts2.md | 71 +++++++++++++++++++++++++++ docs/meteor/image/20220927192625.png | Bin 0 -> 390256 bytes docs/meteor/image/20220927214355.png | Bin 0 -> 227094 bytes docs/meteor/image/20220927214424.png | Bin 0 -> 95339 bytes docs/meteor/image/20220928044105.png | Bin 0 -> 181734 bytes docs/meteor/image/20220928044158.png | Bin 0 -> 575301 bytes docs/meteor/image/20220928044243.png | Bin 0 -> 186310 bytes docs/meteor/image/20220928044306.png | Bin 0 -> 618585 bytes docs/meteor/image/20220928044337.png | Bin 0 -> 159973 bytes docs/meteor/image/20220928044425.png | Bin 0 -> 581214 bytes docs/meteor/image/20220928044448.png | Bin 0 -> 133697 bytes docs/meteor/image/20220928044658.png | Bin 0 -> 192822 bytes docs/meteor/networks.md | 18 +++++++ 15 files changed, 96 insertions(+), 1 deletion(-) create mode 100644 docs/meteor/concepts2.md create mode 100644 docs/meteor/image/20220927192625.png create mode 100644 docs/meteor/image/20220927214355.png create mode 100644 docs/meteor/image/20220927214424.png create mode 100644 docs/meteor/image/20220928044105.png create mode 100644 docs/meteor/image/20220928044158.png create mode 100644 docs/meteor/image/20220928044243.png create mode 100644 docs/meteor/image/20220928044306.png create mode 100644 docs/meteor/image/20220928044337.png create mode 100644 docs/meteor/image/20220928044425.png create mode 100644 docs/meteor/image/20220928044448.png create mode 100644 docs/meteor/image/20220928044658.png diff --git a/docs/.vitepress/config.js b/docs/.vitepress/config.js index 6af66c2..5c155ed 100644 --- a/docs/.vitepress/config.js +++ b/docs/.vitepress/config.js @@ -27,6 +27,12 @@ export default { items: [ { text: '总体设计', link: 'hardware/overall' } ] + }, + { + items: [{ + text: '京ICP备19031740号-2', + link: 'https://beian.miit.gov.cn/' + }] } ] } diff --git a/docs/meteor/concepts.md b/docs/meteor/concepts.md index c45beb9..b8e0230 100644 --- a/docs/meteor/concepts.md +++ b/docs/meteor/concepts.md @@ -1,4 +1,4 @@ -# 流星探测原理 +# 流星探测原理(1) 前面我们讲了,流星时一类非常独特的天文现象,对流星的观测自然也是独辟蹊径,非常迥异于其他天象。流星的观测大致可以分为射电观测和可见光观测。两个观测手段都有爱好者和专业研究人员参与。 diff --git a/docs/meteor/concepts2.md b/docs/meteor/concepts2.md new file mode 100644 index 0000000..b80b9c9 --- /dev/null +++ b/docs/meteor/concepts2.md @@ -0,0 +1,71 @@ +# 流星探测原理(2) + +上一篇我们讲了流星的探测手段和光学流星观测的难点和对策,这一篇来讨论一下流星视频多站观测的主要流程。 + +简而言之,我们对流星的视频观测,就是从用摄像机拍摄天空,到计算出流星轨迹的过程。计算流星的轨迹需要多个站点分别测量流星的坐标,而流星的坐标来自于流星在视频画面中的位置,所以单站必须首先可以拍摄到流星的视频。所以,对流星的视频观测主要分成以下三个步骤: + +1. 拍摄到流星的视频 +1. 测量流星的视频坐标,并转换成天球坐标 +1. 用多站计算流星的三维轨迹 + +这个思路我们从已有的流星观测软件就可以看出:UFOCapture套件就分成三部分,UFOCapture负责流星监测,UFOAnalyzer负责测量流星坐标,UFOOrbiter负责对流星进行定轨。其他流星监测网的自有软件也基本符合这个思路。 + +## 拍摄流星的视频 + +流星的持续时间决定了需要用视频观测,而随机性决定了我们需要大视场长时间观测。一个很明显的道理:你拍到的流星数量,跟观测的时间成正比。所以为了拍摄到更多的流星,流星相机一般是长时间连续工作的,日落后就开始观测,日出前才停止。 + +与普通的天文观测不同,每个课题申请大型望远镜的观测时间常常以天或者小时计,而观测到的数据可能会处理几个月到一年,因此有大量的时间对图像进行精细的处理。而流星探测不一样,只要天气是好的,相机就会一直开着,一直会产生大量的数据。 + +因为流星观测拍的是“视频”,它产生的数据量也显著大于大型望远镜(可能LSST这样的巡天望远镜除外)。假设一个1920×1080的单色相机,每个像素1字节,每秒拍摄30帧画面,产生的数据量就是1920×1080×1×30≈60MB/s,每分钟就是3.6GB,每小时就是216GB。如果是彩色相机,数据量还会变成3倍;如果是16位的相机,就再2倍;如果是4k的相机,就再乘以4。积累起来会变成天文数字。 + +如此多的数据量就造成一个问题:我们常见的“先存下来再慢慢处理”模式就不合适了。一方面,每天存储如此大的数据量成本非常高;另一方面,相机每天工作10个小时,而这些数据必须得在24小时内处理完,否则第二天的数据就又堆积起来了。 + +更可恨的是,没有流星雨的夜晚,可能一整晚也就只有十几颗流星而已,这十几颗流星的视频加在一起可能也没有一分钟,正可谓沙()里淘金,投入产出完全不成正比。 + +以上种种,都指向一种方案:实时检测视频画面中有没有流星,如果有就存储下来,没有就直接把数据扔掉,不写入硬盘里了。那么实时检测流星来得及吗?检测出有流星的时候,是不是流星已经消失了?不用怕,我们可以在内存中缓存前面几秒的视频,当发现有流星的时候,自动从前面几帧开始保存,流星消失之后,再往后保存几帧,防止流星被拦腰截断。很多手机拍照也有时间回溯的功能,用的就是这个原理。 + +那么这样做,就意味着我们的软件可以实时处理几百MB每秒的数据流,一定要非常高效才行;同时准确性也要尽可能高,如果把流星漏过去了,数据就永远消失了。所以我一直认为,流星监测软件是流星视频观测中的核心技术。正因如此,UFOCapture能在爱好者群体中经久不衰,拥有难以替代的位置。 + +## 测量流星的坐标 + +现在我们有了流星的视频,下一步就是测量流星的坐标了。一般来说,我可以指着拍到的视频说:“流星在这!”但这并不是计算机能听懂的方式,甚至也不是其他流星相机的运行者能听懂的方式。 + +流星定轨对流星坐标测量提出了要求:因为我们要综合多个站点的流星坐标,让它们的“射线”相交于同一点,所以所有观测站都要采用相同的坐标系。如果每个观测站采取的坐标系稍有不同,那相当于射线的方向有偏差,就无法相交到一起;并且,观测站的地理位置也一样重要,如果观测站的位置不对,相当于射线的端点有偏差,几条射线也没法相交到一起。 + +所以,我们最终输入的流星坐标,一定要采用国际公认的、天地统一的坐标系。这样的坐标系有没有呢?当然有,那就是国际天球参考架ICRS。关于天体测量的内容非常复杂,不过简单来说,我们日常使用的赤经赤纬依赖这个参考架,而地面上的坐标,例如wgs84体系的经纬度,也可以换算到这个参考系里。 + +我们可以建立一个以地心为坐标原点,坐标轴**不**随地球自转的坐标系(也就是地心惯性坐标系ECI),观测站的坐标就是射线的端点,流星的赤经赤纬就是射线的方向向量。这样所有观测站的观测结果就可以统一了。 + +思路是这么个思路,实际怎么操作呢? + +第一步,我们测量流星在画面上的像素坐标。这一步比较简单,用现有的天文测光软件魔改一下就可以胜任,简单讲就是寻找流星的峰值,或者重心的位置。 + +第二步,把像素坐标转化成天球坐标。像素坐标跟天球坐标是怎么对应的呢?主要受两个因素影响,第一是相机镜头的畸变,第二是相机的指向。 + +我们用最简单的近似(尤其对长焦的望远镜成立)来看,视场是x°,有y个像素宽,那么流星与画面中心的距离是z像素的话,那它离画面中心就是z(x/y)度。但对广角镜头来说,这个简单的关系并不完全成立。 + +一般来说,同一个物体在广角镜头的画面中心或边缘,它大小是不一样的,这就是所谓对的畸变。在画面的边缘,如果“底片比例尺”小于(x/y)的话,就是所谓的桶形畸变,如果大于,就是枕形畸变。 + +![](image/20220927214355.png) + +![](image/20220927214424.png) + +这些畸变的参数与镜头的光学设计有关,可能会包含在镜头的参数表里;但是也不能直接拿来用,因为实际的畸变还与镜头的安装方式有关:镜头的光轴稍微歪了一点,对焦距离不一样,这些参数就都会变。 + +而对畸变参数的实际测量,就有几个不同的方式。在计算机视觉领域比较常见的方式是拍摄一个棋盘格的板子,有现成的算法可以寻找棋盘格上的各点,然后计算畸变参数。而在天文上,会采用画面中的恒星来计算像素坐标与天球坐标的关系,其中就涵盖了对畸变的拟合。 + +而相机的指向也有两个成分:其一是相机是怎么固定在地面上的(也就是相机的朝向),这个基本上是固定的;其二是地球自转到了什么地方,这个只与时间有关。这一步的计算比较简单,就是给坐标乘上几个旋转矩阵就好了。 + +总的来说,最朴素的方式就是把上面所说的畸变参数、相机指向都测量好,假设它是不随时间变化的(例如我有个鱼眼镜头,我非常精确地把它调整到画面中心正好是天顶),那么只要沿着这个流程计算就好了。不过实际上,相机的畸变和指向都会随时间有微小的变化:在不同季节,热胀冷缩会导致镜头的形状有些许变化;而一阵大风就有可能会把相机的指向吹歪一点。这些误差都会随时间累积。 + +所以,实际观测中我们都会用画面中恒星的位置来进行实时的校准,在恒星数量足够的时候,每颗流星都做一次。因为恒星的天球坐标是已知的,在同时知道恒星的图像坐标和天球坐标的时候,就可以计算上面说的所有参数了。这样得到的流星坐标是最准确的。 + +## 多站计算流星的三维轨迹 + +用两个观测站测量的流星坐标来计算流星的实际位置,本质上就是一个几何问题。求两条直线的交点。在实际操作中,由于观测误差,两条射线是不会严格相交的,而是会稍稍错开一点,此时对流星位置的最佳估计就是与各个射线距离(或距离的平方)之和最小的那个点。 + +而这么做还有一个隐藏假设:那就是两个站点的时间是精确同步的。我们说到对流星的视频观测时,其实不只是需要短曝光带来的高时间分辨率,还需要与之匹配的高时间精度。很遗憾,大多数爱好者器材并不能做到如此的时间精度。我认为,时间精度是在流星监测中长期被忽视的一个方面,而根据一些研究,时间的偏差会显著影响对流星定轨的精度。 + +![](image/20220928044658.png) + +一条流星的轨迹包含很多个点,如果我们对每个点都进行三位定位,就可以得出一条折线,这是各种误差造成的。而如果我们假设流星轨迹大致是一条直线,流星在这条直线上逐渐减速,这样就可以对整条轨迹进行拟合,得出的轨迹的误差就比单独每个点的误差小,因此持续时间长、数据点多的流星,定轨精度就更高。而此时,流星轨迹模型的选择就非常重要:近几年有一些文章指出,之前经常采用的一个模型并不非常合理。也有模型无关的定轨程序发布,在之后的文章中我们来详细解读。 \ No newline at end of file diff --git a/docs/meteor/image/20220927192625.png b/docs/meteor/image/20220927192625.png new file mode 100644 index 0000000000000000000000000000000000000000..e66f1871de0998c32074283e3a5b1bcdbd7f5f58 GIT binary patch literal 390256 zcmeFYRa6||w>^lvyF+kycXt|hcXtWy9%$TxyF-BB!6CR?a0sr!U8ecnx&M0~XU)?* z%vrFSuGL+9Ro{_)_SqGq0+2yQAV2^E14EXRl~e-*gGvGe1OEjF0XninU0elv0e4rE z5eKWAB02`WfwC4;5(5KkNI-lwg$BKccaha~2LnSH`1}PQcCN4h1N$hIlN8hNHadHQ z%`uV*_?IBk)q1X1tJS5@!l>W4&cOVqj4&<)i;RbRRO!7Z5eg24XB0Uc(Y8lBupSJs zZRBPSK}iW7#^AKQNmXs%oUFC>BHSf1{qdH|=i7K@r(K<9VPP-a>E~rNHSx7ueJbbQ z;Y1GKyUB4td0*2#*LrGw0QyD z&v2^RdrGK+m%-SautypOT3e65d1?xFL)h%b)0xWO%*uZt1|)_d^}C-i^0HHV|egcj{G^=(@N}jt=A>K`Dr|hq;mVj!6VOlYddMp zo_{-|1Qp3x=gV-*1buR;M8eN^pMVyA%YVVVqsVme2`D 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