﻿---
title: "为什么有的雷达转得快，有的转得慢？"
description: "船上的雷达两秒多就转一圈，山顶上的大雷达要十几秒。转得快能把飞机跟得紧，转得慢能听清远处又弱又慢的回声。雷达转多快，要看它想看多远。"
pubDate: 2026-10-28
tags: ["无线电波", "雷达", "小实验"]
clc: "TN95"
hero: "./hero.svg"
refs:
  - id: marine
    title: "Marine Radar DRS2D"
    url: https://furuno.com/en/products/radar/DRS2D
    site: Furuno
    note: "一款船用雷达：天线每分钟转 24、36 或 48 圈，最远看 24 海里（四十多公里）"
  - id: asr9
    title: ASR-9
    url: https://en.wikipedia.org/wiki/ASR-9
    site: Wikipedia
    note: "机场监视雷达：每分钟转 12.5 圈（不到 5 秒一圈），看 40～60 海里，光束宽约 1.4 度，每秒发出约 1000 次电波"
  - id: arsr
    title: Air Route Surveillance Radar
    url: https://en.wikipedia.org/wiki/Air_Route_Surveillance_Radar
    site: Wikipedia
    note: "航路监视雷达 ARSR-4：每分钟转 5 圈（12 秒一圈），看 250 海里（约 460 公里）"
  - id: radar
    title: Radar
    url: https://en.wikipedia.org/wiki/Radar
    site: Wikipedia
    note: "雷达方程：回波的强弱和距离的四次方成反比，远 2 倍，回声只剩十六分之一"
  - id: phased
    title: Phased array
    url: https://en.wikipedia.org/wiki/Phased_array
    site: Wikipedia
    note: "相控阵雷达：天线不转，靠很多小天线错开时间发射来改变方向"
---

读完[《雷达是怎么“看见”远处的飞机的？》](/blog/how-does-radar-work)，Gino 问了一个好问题：

“港口的船上，雷达呼呼地转，两秒多就是一圈。机场的雷达慢一点，山顶上那种圆球雷达更慢，十几秒才转一圈。**为什么有的雷达转得快，有的转得慢？**”

<div class="box">
<span class="box-title">先想一想</span>

雷达是转得越快越好吗？如果是，为什么不把所有雷达都做得飞快？
</div>

## 一、转一圈，看一眼

上一篇我们知道，雷达的天线只朝一个方向喊，要转一整圈，才能把四周都看一遍。所以**雷达每转一圈，屏幕上的亮点才更新一次**。就像每隔一会儿拍一张照片。

机场雷达大约 4 秒多转一圈[^asr9]。快降落的飞机每秒大约飞 75 米，4 秒就飞出去 300 米。要是雷达 12 秒才转一圈，两次之间飞机就飞了快 1 公里，中间它干了什么，谁也不知道。

<figure class="dd dd-figure">
<div class="dd-scroll">
<svg class="dd-svg" viewBox="0 0 800 384" xmlns="http://www.w3.org/2000/svg" role="img" aria-labelledby="spin-track-title spin-track-desc">
<title id="spin-track-title">同一架飞机，两种转速下屏幕上的亮点</title>
<desc id="spin-track-desc">左边雷达 4 秒转一圈，屏幕上一串亮点挨得很近；右边假如 12 秒才转一圈，同一段路只留下三个亮点，隔得很远。</desc>
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<text class="t-zone" x="36" y="44">机场雷达：4 秒转一圈</text>
<text class="t-note" x="372" y="44" text-anchor="end">示意图</text>
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<text class="t-label" x="284" y="112">两个亮点</text>
<text class="t-label t-acc" x="284" y="134">隔约 300 米</text>
<rect class="dd-zone" x="408" y="16" width="376" height="352" rx="8"/>
<text class="t-zone" x="428" y="44">假如 12 秒才转一圈</text>
<text class="t-note" x="764" y="44" text-anchor="end">示意图</text>
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<circle class="dd-lead-dot" cx="606.5" cy="172.5" r="2.5"/>
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<text class="t-label" x="676" y="112">两个亮点</text>
<text class="t-label t-acc" x="676" y="134">隔约 900 米</text>
<text class="t-tell" x="36" y="350">亮点挨得近，飞机跟得紧</text>
<text class="t-tell" x="428" y="350">亮点隔得远，中间去哪儿了？</text>
</svg>
</div>
<figcaption>图 1 · 雷达每转一圈，屏幕上的亮点才挪一次。转得越快，亮点挨得越近，飞机跟得越紧（示意图，飞机按每秒约 75 米算）</figcaption>
</figure>

机场附近飞机多，有的在起飞，有的在降落，挨得又近。管飞机的叔叔阿姨要时时刻刻看清楚，所以机场雷达要转得快。

**既然快这么好，为什么还有雷达要慢慢转呢？**

## 二、转得快，就看得匆忙

雷达的光束很窄，像手电筒的一小束光。天线一转，光束就从飞机身上一扫而过。只有光束照着飞机的那一小会儿，雷达才能听到它的回声。

这一小会儿有多短？机场雷达扫过一架飞机，大约只有五十分之一秒，雷达在这点时间里能喊二十来声[^asr9]。

转得越快，这一小会儿就越短，能喊的次数也越少。转慢 3 倍，照着飞机的时间就长 3 倍，能喊的次数也多 3 倍。

<figure class="dd dd-figure">
<div class="dd-scroll">
<svg class="dd-svg" viewBox="0 0 800 360" xmlns="http://www.w3.org/2000/svg" role="img" aria-labelledby="spin-dwell-title spin-dwell-desc">
<title id="spin-dwell-title">光束扫过飞机时能喊几声</title>
<desc id="spin-dwell-desc">上下两行各画一部雷达，窄窄的光束正扫过一架飞机。上面转得快，光束一下就扫过去，只来得及喊几声；下面转得慢，光束照着飞机的时间长三倍，能喊的次数也多三倍。</desc>
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<text class="t-zone" x="36" y="44">转得快：光束一下就扫过去了</text>
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<text class="t-tell" x="320" y="160">只来得及喊几声</text>
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<text class="t-zone" x="36" y="216">转得慢：光束在飞机上多停一会儿</text>
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<text class="t-tell" x="320" y="332">能多喊好几倍</text>
<text class="t-note" x="764" y="44" text-anchor="end">每个小弧 = 喊一声 · 示意图</text>
<text class="t-note" x="764" y="216" text-anchor="end">照着飞机的时间长了 3 倍</text>
</svg>
</div>
<figcaption>图 2 · 光束照着飞机的那一小会儿，雷达一声接一声地喊。转得慢，照得久，能喊的次数就多（示意图）</figcaption>
</figure>

**喊这么多声干什么？一声不够吗？**

## 三、看得远，就得慢慢转

### 远处的回声又弱又慢

无线电波跑出去会越散越开，弹回来的路上又散一遍。所以飞机远一点，回声就弱很多：**远 2 倍，回声只剩十六分之一；远 4 倍，只剩两百多分之一**[^radar]。

这么弱的回声，喊一声听不清。就像远处的朋友小声说话，你要让他多说几遍，才能听明白。

远处的回声还来得晚。要看 400 公里远，每喊一声都得等回声回来，再喊下一声，一秒钟最多喊不到 400 声。只看 100 公里的话，一秒钟能喊 1500 声左右。

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<text class="t-label" x="232" y="139">100 公里</text>
<text class="t-tell" x="36" y="168">回声又强又快：来回只要 0.0007 秒</text>
<rect class="dd-zone" x="16" y="196" width="768" height="164" rx="8"/>
<text class="t-zone" x="36" y="224">飞机在 400 公里外</text>
<text class="t-note" x="764" y="224" text-anchor="end">示意图，距离按比例画</text>
<line class="dd-hair" x1="36" y1="300" x2="764" y2="300"/>
<path class="dd-card" d="M50 300 L55 291 L73 291 L78 300 Z"/>
<rect class="dd-card" x="61" y="272" width="6" height="19" rx="2"/>
<path class="dd-card" d="M68 248 Q54 268 68 288 Z"/>
<path class="dd-edge" d="M65 256 L80 268 L65 280"/>
<circle class="dd-card" cx="80" cy="268" r="2.5"/>
<path class="dd-edge-acc" stroke-width="2" stroke-linecap="round" d="M98 260 Q105.2 268 98 276"/>
<path class="dd-edge-acc" stroke-width="2" stroke-linecap="round" d="M112 257 Q121.9 268 112 279"/>
<path class="dd-edge-acc" stroke-width="2" stroke-linecap="round" d="M126 254 Q138.6 268 126 282"/>
<g transform="translate(640.0 270) scale(0.3 0.3) translate(-70 0)">
<path class="dd-card" d="M60 -10 L84 -10 L74 -24 L66 -24 Z"/>
<path class="dd-card" d="M0 0 C0 -7 8 -11 18 -11 L112 -11 L130 -34 L141 -34 L135 -9 C139 -7 141 -3 141 0 C141 4 137 6 131 6 L18 6 C8 6 0 4 0 0 Z"/>
<path class="dd-card" d="M52 1 L82 1 L104 28 L92 28 Z"/>
<path class="dd-card" d="M114 -1 L131 -1 L141 10 L132 10 Z"/>
<path class="dd-dot" d="M7 -3 L14 -8 L22 -8 L22 -3 Z"/>
<circle class="dd-dot" cx="34" cy="-3" r="1.8"/>
<circle class="dd-dot" cx="43" cy="-3" r="1.8"/>
<circle class="dd-dot" cx="52" cy="-3" r="1.8"/>
<circle class="dd-dot" cx="61" cy="-3" r="1.8"/>
<circle class="dd-dot" cx="70" cy="-3" r="1.8"/>
<circle class="dd-dot" cx="79" cy="-3" r="1.8"/>
<circle class="dd-dot" cx="88" cy="-3" r="1.8"/>
<circle class="dd-dot" cx="97" cy="-3" r="1.8"/>
</g>
<path class="dd-edge-acc" opacity="0.35" stroke-width="1" stroke-dasharray="2 3" stroke-linecap="round" d="M608 257 Q598.1 268 608 279"/>
<path class="dd-edge-acc" opacity="0.35" stroke-width="1" stroke-dasharray="2 3" stroke-linecap="round" d="M594 260 Q586.8 268 594 276"/>
<path class="dd-edge-acc" opacity="0.35" stroke-width="1" stroke-dasharray="2 3" stroke-linecap="round" d="M580 263 Q575.5 268 580 273"/>
<path class="dd-edge" d="M80 309 L80 314 L640 314 L640 309"/>
<text class="t-label" x="652" y="319">400 公里</text>
<text class="t-tell" x="36" y="348">回声又弱又慢：只剩两百多分之一，来回要 0.0027 秒</text>
</svg>
</div>
<figcaption>图 3 · 远 4 倍，回声要多等 4 倍的时间，还弱到只剩两百多分之一（示意图）</figcaption>
</figure>

### 所以要慢慢转

回声弱，要多喊几声；回声慢，每声都得多等一会儿。两样加起来，光束就得在每个方向多停一会儿，天线只好慢慢转。

管远处航线的雷达要看四百多公里，12 秒才转一圈[^arsr]。

## 四、每种雷达挑自己的转速

现在可以回答 Gino 的问题了。**雷达转多快，要看它想看多远**：

- **船上的雷达**只看附近四十多公里，回声又强又快，可以两秒多转一圈，有的一秒多就一圈[^marine]，旁边的小船、礁石都跟得紧紧的。
- **机场雷达**看一百多公里，4 秒多一圈，既跟得紧，又听得清。
- **航线雷达**看四百多公里，回声最弱最慢，只好 12 秒一圈。

<figure class="dd dd-figure">
<div class="dd-scroll">
<svg class="dd-svg" viewBox="0 0 800 360" xmlns="http://www.w3.org/2000/svg" role="img" aria-labelledby="spin-kinds-title spin-kinds-desc">
<title id="spin-kinds-title">三种雷达转一圈要多久</title>
<desc id="spin-kinds-desc">一条时间尺上标出三种雷达：船上的雷达两三秒转一圈，看四十多公里；机场雷达不到 5 秒一圈，看一百多公里；管远处航线的雷达 12 秒一圈，看四百多公里。</desc>
<defs>
<marker id="spin-kinds-arrow-acc" markerWidth="10" markerHeight="10" refX="8" refY="5" orient="auto" markerUnits="userSpaceOnUse"><path class="dd-head-acc" d="M2 1.5 L8 5 L2 8.5"/></marker>
</defs>
<rect class="dd-frame" width="800" height="360" rx="10"/>
<rect class="dd-zone" x="16" y="16" width="768" height="328" rx="8"/>
<text class="t-zone" x="36" y="44">转一圈要多少秒</text>
<text class="t-note" x="764" y="44" text-anchor="end">常见型号，大约值</text>
<line class="dd-edge" x1="60" y1="236" x2="760" y2="236"/>
<line class="dd-edge" x1="60" y1="236" x2="60" y2="242"/>
<text class="t-note" x="60" y="258" text-anchor="middle">0</text>
<line class="dd-edge" x1="160" y1="236" x2="160" y2="242"/>
<text class="t-note" x="160" y="258" text-anchor="middle">2</text>
<line class="dd-edge" x1="260" y1="236" x2="260" y2="242"/>
<text class="t-note" x="260" y="258" text-anchor="middle">4</text>
<line class="dd-edge" x1="360" y1="236" x2="360" y2="242"/>
<text class="t-note" x="360" y="258" text-anchor="middle">6</text>
<line class="dd-edge" x1="460" y1="236" x2="460" y2="242"/>
<text class="t-note" x="460" y="258" text-anchor="middle">8</text>
<line class="dd-edge" x1="560" y1="236" x2="560" y2="242"/>
<text class="t-note" x="560" y="258" text-anchor="middle">10</text>
<line class="dd-edge" x1="660" y1="236" x2="660" y2="242"/>
<text class="t-note" x="660" y="258" text-anchor="middle">12</text>
<line class="dd-edge" x1="760" y1="236" x2="760" y2="242"/>
<text class="t-note" x="760" y="258" text-anchor="middle">14</text>
<text class="t-note" x="770" y="240">秒</text>
<path class="dd-water" d="M105.0 166 L245.0 166 L245.0 174 L105.0 174 Z"/>
<path class="dd-card" d="M119.0 148 L235.0 148 L221.0 168 L127.0 168 Z"/>
<rect class="dd-card" x="149.0" y="128" width="40" height="20" rx="2"/>
<rect class="dd-dot" x="155.0" y="134" width="7" height="6" rx="1"/>
<rect class="dd-dot" x="167.0" y="134" width="7" height="6" rx="1"/>
<rect class="dd-dot" x="179.0" y="134" width="7" height="6" rx="1"/>
<line class="dd-edge" x1="169.0" y1="128" x2="169.0" y2="104"/>
<rect class="dd-card" x="149.0" y="98" width="40" height="6" rx="3"/>
<path class="dd-hair" d="M111.0 170 q8 -4 16 0 t16 0 t16 0 t16 0 t16 0 t16 0 t16 0 t16 0"/>
<circle class="dd-lead-dot" cx="185" cy="236" r="3.5"/>
<path class="dd-lead" d="M185 236 L185 178"/>
<text class="t-label" x="175" y="288" text-anchor="middle">船上的雷达</text>
<text class="t-tell" x="175" y="312" text-anchor="middle">看四十多公里</text>
<path class="dd-card" d="M280.0 170 L287.0 158 L313.0 158 L320.0 170 Z"/>
<rect class="dd-card" x="296.0" y="130" width="8" height="28" rx="2"/>
<path class="dd-card" d="M270.0 100 Q300.0 112 330.0 100 L326.0 130 Q300.0 140 274.0 130 Z"/>
<path class="dd-hair" d="M272.0 115 Q300.0 126 328.0 115"/>
<circle class="dd-lead-dot" cx="300" cy="236" r="3.5"/>
<path class="dd-lead" d="M300 236 L300 174"/>
<text class="t-label" x="300" y="288" text-anchor="middle">机场雷达</text>
<text class="t-tell" x="300" y="312" text-anchor="middle">看一百多公里</text>
<path class="dd-ground" d="M590 190 Q660 156 730 190 Z"/>
<rect class="dd-card" x="646" y="150" width="28" height="30" rx="1"/>
<line class="dd-hair" x1="646" y1="160" x2="674" y2="160"/>
<line class="dd-hair" x1="646" y1="170" x2="674" y2="170"/>
<circle class="dd-card" cx="660" cy="126" r="30"/>
<ellipse class="dd-hair" cx="660" cy="126" rx="30" ry="10"/>
<ellipse class="dd-hair" cx="660" cy="126" rx="12" ry="30"/>
<line class="dd-hair" x1="630" y1="126" x2="690" y2="126"/>
<path class="dd-shine" d="M642 110 Q648 103 656 101"/>
<circle class="dd-lead-dot" cx="660" cy="236" r="3.5"/>
<path class="dd-lead" d="M660 236 L660 194"/>
<text class="t-label" x="660" y="288" text-anchor="middle">航线雷达</text>
<text class="t-tell" x="660" y="312" text-anchor="middle">看四百多公里</text>
<path class="dd-edge-acc" d="M160 74 L710 74" marker-end="url(#spin-kinds-arrow-acc)"/>
<text class="t-label t-acc" x="435.0" y="66" text-anchor="middle">看得越远，回声越弱越慢，就得转得越慢</text>
</svg>
</div>
<figcaption>图 4 · 看近处的雷达转得快，看远处的雷达转得慢（数字是常见型号的大约值）</figcaption>
</figure>

<div class="box">
<span class="box-title">小知识</span>

有些新雷达干脆不转。它是一整面平板，上面排着很多很多小天线。小天线一起喊的时候，故意错开一丁点儿时间，电波就会拐向另一边[^phased]。这种雷达想看哪儿就看哪儿：近处一眼扫过，远处多停一会儿。
</div>

你开头猜对了吗？转得快和看得清，雷达只能挑一个多一点。

## 五、动手试试：手电筒当雷达

<div class="box">
<span class="box-title">动手试试</span>

**你需要：** 一支手电筒、一张白纸、一支粗记号笔、一个晚上关了灯的房间、一位家人。

1. 在纸上写一个大大的数字，请家人把它贴在墙上，你不要偷看。
2. 关灯，站到房间另一头，用手电筒在墙上从左到右快快地扫过去。看清是几了吗？
3. 再慢慢地扫一次，让光斑在纸上多停一会儿。
4. 请家人每隔几秒换一个数字，你再试试：扫得慢，能看清，可常常漏掉换过的数字；扫得快，不会漏，却每次都看不清。

手电筒的光斑就像雷达的光束。慢慢扫，光在纸上停得久，你就看得清；快快扫，回来得勤，你就跟得上。
</div>

<figure class="dd dd-figure">
<div class="dd-scroll">
<svg class="dd-svg" viewBox="0 0 800 352" xmlns="http://www.w3.org/2000/svg" role="img" aria-labelledby="spin-try-title spin-try-desc">
<title id="spin-try-title">用手电筒扫墙上的数字</title>
<desc id="spin-try-desc">墙上贴着一张写着 7 的纸。左边手电筒扫得快，光斑一闪就划过去，看不清数字；右边扫得慢，光斑停在纸上，一眼就看清是 7。</desc>
<defs>
<marker id="spin-try-arrow" markerWidth="10" markerHeight="10" refX="8" refY="5" orient="auto" markerUnits="userSpaceOnUse"><path class="dd-head" d="M2 1.5 L8 5 L2 8.5"/></marker>
</defs>
<rect class="dd-frame" width="800" height="352" rx="10"/>
<rect class="dd-zone" x="16" y="16" width="376" height="320" rx="8"/>
<text class="t-zone" x="36" y="44">扫得快</text>
<text class="t-note" x="372" y="44" text-anchor="end">关了灯的房间</text>
<rect class="dd-card" x="168" y="70" width="72" height="92" rx="2"/>
<rect class="dd-water" opacity="0.7" x="190" y="64" width="28" height="11" rx="1" transform="rotate(-4 204 70)"/>
<text class="t-label" opacity="0.22" x="204" y="138" text-anchor="middle" style="font-size:56px">7</text>
<ellipse class="dd-sun" opacity="0.08" cx="94" cy="116" rx="40" ry="34"/>
<ellipse class="dd-sun" opacity="0.13" cx="134" cy="116" rx="40" ry="34"/>
<ellipse class="dd-sun" opacity="0.18" cx="174" cy="116" rx="40" ry="34"/>
<ellipse class="dd-sun" opacity="0.23" cx="214" cy="116" rx="40" ry="34"/>
<ellipse class="dd-sun" opacity="0.28" cx="254" cy="116" rx="40" ry="34"/>
<ellipse class="dd-sun" opacity="0.33" cx="294" cy="116" rx="40" ry="34"/>
<path class="dd-edge" d="M84 186 L324 186" marker-end="url(#spin-try-arrow)"/>
<path class="dd-edge" d="M104 192 L304 192" opacity="0.5"/>
<g transform="rotate(32.4 204 258)"><path class="dd-sun" opacity="0.18" d="M195 228 L168 130 L240 130 L213 228 Z"/><rect class="dd-card" x="197" y="244" width="14" height="40" rx="3"/><path class="dd-card" d="M193 228 L215 228 L211 244 L197 244 Z"/><line class="dd-hair" x1="197" y1="258" x2="211" y2="258"/></g>
<text class="t-label" x="36" y="218">一闪就过去，没看清</text>
<text class="t-tell" x="36" y="318">扫一圈很快，可每次都看不清</text>
<rect class="dd-zone" x="408" y="16" width="376" height="320" rx="8"/>
<text class="t-zone" x="428" y="44">扫得慢</text>
<text class="t-note" x="764" y="44" text-anchor="end">关了灯的房间</text>
<rect class="dd-card" x="560" y="70" width="72" height="92" rx="2"/>
<rect class="dd-water" opacity="0.7" x="582" y="64" width="28" height="11" rx="1" transform="rotate(-4 596 70)"/>
<text class="t-label" opacity="1" x="596" y="138" text-anchor="middle" style="font-size:56px">7</text>
<ellipse class="dd-sun" opacity="0.45" cx="596" cy="116" rx="52" ry="44"/>
<path class="dd-edge" d="M556 186 L626 186" marker-end="url(#spin-try-arrow)"/>
<g transform="rotate(0 596 258)"><path class="dd-sun" opacity="0.18" d="M587 228 L560 130 L632 130 L605 228 Z"/><rect class="dd-card" x="589" y="244" width="14" height="40" rx="3"/><path class="dd-card" d="M585 228 L607 228 L603 244 L589 244 Z"/><line class="dd-hair" x1="589" y1="258" x2="603" y2="258"/></g>
<text class="t-label" x="428" y="218">看清了，是 7！</text>
<text class="t-tell" x="428" y="318">看得清，可要等好久才扫回来</text>
</svg>
</div>
<figcaption>图 5 · 手电筒的光斑就像雷达的光束：扫得慢才看得清，扫得快才回来得勤</figcaption>
</figure>

<div class="box">
<span class="box-title">注意安全</span>

请大人陪着做。关灯前先把地上的东西收好，不要把手电筒照向别人的眼睛。
</div>

## 小结

1. **雷达转一圈有什么用？** 转一圈，四周看一遍，屏幕上的亮点更新一次。
2. **转得快有什么好？** 亮点更新得勤，飞机跟得紧。
3. **转得快有什么不好？** 光束在每个方向停得短，能喊的次数少。
4. **为什么看得远的雷达转得慢？** 远处的回声又弱又慢，要多喊几声、多等一会儿，只好慢慢转。

下次在港口或者机场看到雷达，数一数它多少秒转一圈，猜猜它想看多远。

## 参考资料
