2018-10-10 18:03:03 -04:00
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---
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id: af4afb223120f7348cdfc9fd
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2021-03-14 21:20:39 -06:00
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title: 计算轨道周期
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2018-10-10 18:03:03 -04:00
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challengeType: 5
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2020-09-07 16:10:29 +08:00
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forumTopicId: 16021
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2021-01-13 03:31:00 +01:00
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dashedName: map-the-debris
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2018-10-10 18:03:03 -04:00
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---
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2020-12-16 00:37:30 -07:00
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# --description--
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2018-10-10 18:03:03 -04:00
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2021-03-14 21:20:39 -06:00
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在这道题目中,我们需要写一个计算天体轨道周期(单位是秒)的函数。
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2020-09-07 16:10:29 +08:00
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2021-03-14 21:20:39 -06:00
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它接收一个对象数组参数 arr,对象中包含表示天体名称的 name 属性,及表示天体表面平均海拔的 avgAlt 属性。 就像这样:`{name: 'name', avgAlt: avgAlt}`。
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2018-10-10 18:03:03 -04:00
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2021-03-14 21:20:39 -06:00
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你可以在这条[维基百科](http://en.wikipedia.org/wiki/Orbital_period)的链接中找到轨道周期的计算公式:
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2018-10-10 18:03:03 -04:00
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2021-03-14 21:20:39 -06:00
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最终的计算结果应取整到最接近的整数。 在这里计算地球的轨道周期。
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2018-10-10 18:03:03 -04:00
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2021-03-14 21:20:39 -06:00
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地球半径为 6367.4447 公里,地球的 GM 值为 398600.4418 km <sup>3</sup> s <sup>-2</sup> 。
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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# --hints--
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2018-10-10 18:03:03 -04:00
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2021-03-14 21:20:39 -06:00
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`orbitalPeriod([{name : "sputnik", avgAlt : 35873.5553}])` 应返回 `[{name: "sputnik", orbitalPeriod: 86400}]` 。
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2018-10-10 18:03:03 -04:00
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```js
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assert.deepEqual(orbitalPeriod([{ name: 'sputnik', avgAlt: 35873.5553 }]), [
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{ name: 'sputnik', orbitalPeriod: 86400 }
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]);
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2018-10-10 18:03:03 -04:00
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```
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2021-03-14 21:20:39 -06:00
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`orbitalPeriod([{name: "iss", avgAlt: 413.6}, {name: "hubble", avgAlt: 556.7}, {name: "moon", avgAlt: 378632.553}])` 应返回 `[{name : "iss", orbitalPeriod: 5557}, {name: "hubble", orbitalPeriod: 5734}, {name: "moon", orbitalPeriod: 2377399}]`。
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2020-09-07 16:10:29 +08:00
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2018-10-10 18:03:03 -04:00
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```js
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2020-12-16 00:37:30 -07:00
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assert.deepEqual(
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orbitalPeriod([
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{ name: 'iss', avgAlt: 413.6 },
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{ name: 'hubble', avgAlt: 556.7 },
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{ name: 'moon', avgAlt: 378632.553 }
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]),
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[
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{ name: 'iss', orbitalPeriod: 5557 },
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{ name: 'hubble', orbitalPeriod: 5734 },
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{ name: 'moon', orbitalPeriod: 2377399 }
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]
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);
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2018-10-10 18:03:03 -04:00
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```
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2020-08-13 17:24:35 +02:00
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2021-01-13 03:31:00 +01:00
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# --seed--
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## --seed-contents--
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```js
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function orbitalPeriod(arr) {
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const GM = 398600.4418;
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const earthRadius = 6367.4447;
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return arr;
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}
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orbitalPeriod([{name : "sputnik", avgAlt : 35873.5553}]);
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```
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2020-12-16 00:37:30 -07:00
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# --solutions--
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2021-01-13 03:31:00 +01:00
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```js
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function orbitalPeriod(arr) {
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const GM = 398600.4418;
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const earthRadius = 6367.4447;
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const TAU = 2 * Math.PI;
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return arr.map(function(obj) {
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return {
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name: obj.name,
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orbitalPeriod: Math.round(TAU * Math.sqrt(Math.pow(obj.avgAlt+earthRadius, 3)/GM))
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};
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});
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}
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```
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