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2022-07-05 16:56:29 +08:00
<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="utf-8">
<meta http-equiv="X-UA-Compatible" content="IE=edge">
<meta name="viewport" content="width=device-width, initial-scale=1">
<title>Ellipsoid - Cesium Documentation</title>
<!--[if lt IE 9]>
<script src="javascript/html5.js"></script>
<![endif]-->
<link href="styles/jsdoc-default.css" rel="stylesheet">
<link href="styles/prism.css" rel="stylesheet">
</head>
<body>
<div id="main">
<h1 class="page-title">
<a href="index.html"><img src="Images/CesiumLogo.png" class="cesiumLogo"></a>
Ellipsoid
<div class="titleCenterer"></div>
</h1>
<section>
<header>
</header>
<article>
<div class="container-overview">
<div class="nameContainer">
<h4 class="name" id="Ellipsoid">
<a href="#Ellipsoid" class="doc-link"></a>
new Cesium.Ellipsoid<span class="signature">(<span class="optional">x</span>, <span class="optional">y</span>, <span class="optional">z</span>)</span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/Ellipsoid.js#L75">Core/Ellipsoid.js 75</a>
</div>
</h4>
</div>
<div class="description">
A quadratic surface defined in Cartesian coordinates by the equation
<code>(x / a)^2 + (y / b)^2 + (z / c)^2 = 1</code>. Primarily used
by Cesium to represent the shape of planetary bodies.
Rather than constructing this object directly, one of the provided
constants is normally used.
</div>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th>Default</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>x</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="default">
<code class="language-javascript">0</code>
</td>
<td class="description last">
<span class="optional">optional</span>
The radius in the x direction.</td>
</tr>
<tr>
<td class="name"><code>y</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="default">
<code class="language-javascript">0</code>
</td>
<td class="description last">
<span class="optional">optional</span>
The radius in the y direction.</td>
</tr>
<tr>
<td class="name"><code>z</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="default">
<code class="language-javascript">0</code>
</td>
<td class="description last">
<span class="optional">optional</span>
The radius in the z direction.</td>
</tr>
</tbody>
</table>
<h5>Throws:</h5>
<ul>
<li>
<div class="param-desc">
<span class="param-type"><a href="DeveloperError.html">DeveloperError</a></span>
: All radii components must be greater than or equal to zero.
</div>
</li>
</ul>
<dl class="details">
<h5>See:</h5>
<ul class="see-list">
<li><a href="Ellipsoid.html#.fromCartesian3">Ellipsoid.fromCartesian3</a></li>
<li><a href="Ellipsoid.html#.WGS84">Ellipsoid.WGS84</a></li>
<li><a href="Ellipsoid.html#.UNIT_SPHERE">Ellipsoid.UNIT_SPHERE</a></li>
</ul>
</dl>
</div>
<h3 class="subsection-title">Members</h3>
<div class="nameContainer">
<h4 class="name" id=".MOON">
<a href="#.MOON" class="doc-link"></a>
<span class="type-signature attribute-static">static</span> <span class="type-signature attribute-constant">constant</span> Cesium.Ellipsoid.MOON<span class="type-signature"> : <a href="Ellipsoid.html">Ellipsoid</a></span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/Ellipsoid.js#L249">Core/Ellipsoid.js 249</a>
</div>
</h4>
</div>
<div class="description">
An Ellipsoid instance initialized to a sphere with the lunar radius.
</div>
<dl class="details">
</dl>
<div class="nameContainer">
<h4 class="name" id=".packedLength">
<a href="#.packedLength" class="doc-link"></a>
<span class="type-signature attribute-static">static</span> Cesium.Ellipsoid.packedLength<span class="type-signature"> : Number</span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/Ellipsoid.js#L272">Core/Ellipsoid.js 272</a>
</div>
</h4>
</div>
<div class="description">
The number of elements used to pack the object into an array.
</div>
<dl class="details">
</dl>
<div class="nameContainer">
<h4 class="name" id=".UNIT_SPHERE">
<a href="#.UNIT_SPHERE" class="doc-link"></a>
<span class="type-signature attribute-static">static</span> <span class="type-signature attribute-constant">constant</span> Cesium.Ellipsoid.UNIT_SPHERE<span class="type-signature"> : <a href="Ellipsoid.html">Ellipsoid</a></span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/Ellipsoid.js#L241">Core/Ellipsoid.js 241</a>
</div>
</h4>
</div>
<div class="description">
An Ellipsoid instance initialized to radii of (1.0, 1.0, 1.0).
</div>
<dl class="details">
</dl>
<div class="nameContainer">
<h4 class="name" id=".WGS84">
<a href="#.WGS84" class="doc-link"></a>
<span class="type-signature attribute-static">static</span> <span class="type-signature attribute-constant">constant</span> Cesium.Ellipsoid.WGS84<span class="type-signature"> : <a href="Ellipsoid.html">Ellipsoid</a></span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/Ellipsoid.js#L231">Core/Ellipsoid.js 231</a>
</div>
</h4>
</div>
<div class="description">
An Ellipsoid instance initialized to the WGS84 standard.
</div>
<dl class="details">
</dl>
<div class="nameContainer">
<h4 class="name" id="maximumRadius">
<a href="#maximumRadius" class="doc-link"></a>
<span class="type-signature attribute-readonly">readonly</span> maximumRadius<span class="type-signature"> : Number</span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/Ellipsoid.js#L162">Core/Ellipsoid.js 162</a>
</div>
</h4>
</div>
<div class="description">
Gets the maximum radius of the ellipsoid.
</div>
<dl class="details">
</dl>
<div class="nameContainer">
<h4 class="name" id="minimumRadius">
<a href="#minimumRadius" class="doc-link"></a>
<span class="type-signature attribute-readonly">readonly</span> minimumRadius<span class="type-signature"> : Number</span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/Ellipsoid.js#L151">Core/Ellipsoid.js 151</a>
</div>
</h4>
</div>
<div class="description">
Gets the minimum radius of the ellipsoid.
</div>
<dl class="details">
</dl>
<div class="nameContainer">
<h4 class="name" id="oneOverRadii">
<a href="#oneOverRadii" class="doc-link"></a>
<span class="type-signature attribute-readonly">readonly</span> oneOverRadii<span class="type-signature"> : <a href="Cartesian3.html">Cartesian3</a></span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/Ellipsoid.js#L129">Core/Ellipsoid.js 129</a>
</div>
</h4>
</div>
<div class="description">
Gets one over the radii of the ellipsoid.
</div>
<dl class="details">
</dl>
<div class="nameContainer">
<h4 class="name" id="oneOverRadiiSquared">
<a href="#oneOverRadiiSquared" class="doc-link"></a>
<span class="type-signature attribute-readonly">readonly</span> oneOverRadiiSquared<span class="type-signature"> : <a href="Cartesian3.html">Cartesian3</a></span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/Ellipsoid.js#L140">Core/Ellipsoid.js 140</a>
</div>
</h4>
</div>
<div class="description">
Gets one over the squared radii of the ellipsoid.
</div>
<dl class="details">
</dl>
<div class="nameContainer">
<h4 class="name" id="radii">
<a href="#radii" class="doc-link"></a>
<span class="type-signature attribute-readonly">readonly</span> radii<span class="type-signature"> : <a href="Cartesian3.html">Cartesian3</a></span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/Ellipsoid.js#L96">Core/Ellipsoid.js 96</a>
</div>
</h4>
</div>
<div class="description">
Gets the radii of the ellipsoid.
</div>
<dl class="details">
</dl>
<div class="nameContainer">
<h4 class="name" id="radiiSquared">
<a href="#radiiSquared" class="doc-link"></a>
<span class="type-signature attribute-readonly">readonly</span> radiiSquared<span class="type-signature"> : <a href="Cartesian3.html">Cartesian3</a></span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/Ellipsoid.js#L107">Core/Ellipsoid.js 107</a>
</div>
</h4>
</div>
<div class="description">
Gets the squared radii of the ellipsoid.
</div>
<dl class="details">
</dl>
<div class="nameContainer">
<h4 class="name" id="radiiToTheFourth">
<a href="#radiiToTheFourth" class="doc-link"></a>
<span class="type-signature attribute-readonly">readonly</span> radiiToTheFourth<span class="type-signature"> : <a href="Cartesian3.html">Cartesian3</a></span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/Ellipsoid.js#L118">Core/Ellipsoid.js 118</a>
</div>
</h4>
</div>
<div class="description">
Gets the radii of the ellipsoid raise to the fourth power.
</div>
<dl class="details">
</dl>
<h3 class="subsection-title">Methods</h3>
<div class="nameContainer">
<h4 class="name" id=".clone">
<a href="#.clone" class="doc-link"></a>
<span class="type-signature attribute-static">static</span> Cesium.Ellipsoid.clone<span class="signature">(ellipsoid, <span class="optional">result</span>)</span> &rarr; <span class="type-signature returnType"><a href="Ellipsoid.html">Ellipsoid</a></span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/Ellipsoid.js#L177">Core/Ellipsoid.js 177</a>
</div>
</h4>
</div>
<div class="description">
Duplicates an Ellipsoid instance.
</div>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>ellipsoid</code></td>
<td class="type">
<span class="param-type"><a href="Ellipsoid.html">Ellipsoid</a></span>
</td>
<td class="description last">
The ellipsoid to duplicate.</td>
</tr>
<tr>
<td class="name"><code>result</code></td>
<td class="type">
<span class="param-type"><a href="Ellipsoid.html">Ellipsoid</a></span>
</td>
<td class="description last">
<span class="optional">optional</span>
The object onto which to store the result, or undefined if a new
instance should be created.</td>
</tr>
</tbody>
</table>
<h5>Returns:</h5>
<div class="param-desc">
The cloned Ellipsoid. (Returns undefined if ellipsoid is undefined)
</div>
<dl class="details">
</dl>
<div class="nameContainer">
<h4 class="name" id=".fromCartesian3">
<a href="#.fromCartesian3" class="doc-link"></a>
<span class="type-signature attribute-static">static</span> Cesium.Ellipsoid.fromCartesian3<span class="signature">(<span class="optional">cartesian</span>, <span class="optional">result</span>)</span> &rarr; <span class="type-signature returnType"><a href="Ellipsoid.html">Ellipsoid</a></span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/Ellipsoid.js#L212">Core/Ellipsoid.js 212</a>
</div>
</h4>
</div>
<div class="description">
Computes an Ellipsoid from a Cartesian specifying the radii in x, y, and z directions.
</div>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th>Default</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>cartesian</code></td>
<td class="type">
<span class="param-type"><a href="Cartesian3.html">Cartesian3</a></span>
</td>
<td class="default">
<code class="language-javascript">Cartesian3.ZERO</code>
</td>
<td class="description last">
<span class="optional">optional</span>
The ellipsoid's radius in the x, y, and z directions.</td>
</tr>
<tr>
<td class="name"><code>result</code></td>
<td class="type">
<span class="param-type"><a href="Ellipsoid.html">Ellipsoid</a></span>
</td>
<td class="default">
</td>
<td class="description last">
<span class="optional">optional</span>
The object onto which to store the result, or undefined if a new
instance should be created.</td>
</tr>
</tbody>
</table>
<h5>Returns:</h5>
<div class="param-desc">
A new Ellipsoid instance.
</div>
<h5>Throws:</h5>
<ul>
<li>
<div class="param-desc">
<span class="param-type"><a href="DeveloperError.html">DeveloperError</a></span>
: All radii components must be greater than or equal to zero.
</div>
</li>
</ul>
<dl class="details">
<h5>See:</h5>
<ul class="see-list">
<li><a href="Ellipsoid.html#.WGS84">Ellipsoid.WGS84</a></li>
<li><a href="Ellipsoid.html#.UNIT_SPHERE">Ellipsoid.UNIT_SPHERE</a></li>
</ul>
</dl>
<div class="nameContainer">
<h4 class="name" id=".pack">
<a href="#.pack" class="doc-link"></a>
<span class="type-signature attribute-static">static</span> Cesium.Ellipsoid.pack<span class="signature">(value, array, <span class="optional">startingIndex</span>)</span> &rarr; <span class="type-signature returnType">Array.&lt;Number></span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/Ellipsoid.js#L283">Core/Ellipsoid.js 283</a>
</div>
</h4>
</div>
<div class="description">
Stores the provided instance into the provided array.
</div>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th>Default</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>value</code></td>
<td class="type">
<span class="param-type"><a href="Ellipsoid.html">Ellipsoid</a></span>
</td>
<td class="default">
</td>
<td class="description last">
The value to pack.</td>
</tr>
<tr>
<td class="name"><code>array</code></td>
<td class="type">
<span class="param-type">Array.&lt;Number></span>
</td>
<td class="default">
</td>
<td class="description last">
The array to pack into.</td>
</tr>
<tr>
<td class="name"><code>startingIndex</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="default">
<code class="language-javascript">0</code>
</td>
<td class="description last">
<span class="optional">optional</span>
The index into the array at which to start packing the elements.</td>
</tr>
</tbody>
</table>
<h5>Returns:</h5>
<div class="param-desc">
The array that was packed into
</div>
<dl class="details">
</dl>
<div class="nameContainer">
<h4 class="name" id=".unpack">
<a href="#.unpack" class="doc-link"></a>
<span class="type-signature attribute-static">static</span> Cesium.Ellipsoid.unpack<span class="signature">(array, <span class="optional">startingIndex</span>, <span class="optional">result</span>)</span> &rarr; <span class="type-signature returnType"><a href="Ellipsoid.html">Ellipsoid</a></span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/Ellipsoid.js#L304">Core/Ellipsoid.js 304</a>
</div>
</h4>
</div>
<div class="description">
Retrieves an instance from a packed array.
</div>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th>Default</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>array</code></td>
<td class="type">
<span class="param-type">Array.&lt;Number></span>
</td>
<td class="default">
</td>
<td class="description last">
The packed array.</td>
</tr>
<tr>
<td class="name"><code>startingIndex</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="default">
<code class="language-javascript">0</code>
</td>
<td class="description last">
<span class="optional">optional</span>
The starting index of the element to be unpacked.</td>
</tr>
<tr>
<td class="name"><code>result</code></td>
<td class="type">
<span class="param-type"><a href="Ellipsoid.html">Ellipsoid</a></span>
</td>
<td class="default">
</td>
<td class="description last">
<span class="optional">optional</span>
The object into which to store the result.</td>
</tr>
</tbody>
</table>
<h5>Returns:</h5>
<div class="param-desc">
The modified result parameter or a new Ellipsoid instance if one was not provided.
</div>
<dl class="details">
</dl>
<div class="nameContainer">
<h4 class="name" id="cartesianArrayToCartographicArray">
<a href="#cartesianArrayToCartographicArray" class="doc-link"></a>
cartesianArrayToCartographicArray<span class="signature">(cartesians, <span class="optional">result</span>)</span> &rarr; <span class="type-signature returnType">Array.&lt;<a href="Cartographic.html">Cartographic</a>></span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/Ellipsoid.js#L502">Core/Ellipsoid.js 502</a>
</div>
</h4>
</div>
<div class="description">
Converts the provided array of cartesians to an array of cartographics.
</div>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>cartesians</code></td>
<td class="type">
<span class="param-type">Array.&lt;<a href="Cartesian3.html">Cartesian3</a>></span>
</td>
<td class="description last">
An array of Cartesian positions.</td>
</tr>
<tr>
<td class="name"><code>result</code></td>
<td class="type">
<span class="param-type">Array.&lt;<a href="Cartographic.html">Cartographic</a>></span>
</td>
<td class="description last">
<span class="optional">optional</span>
The object onto which to store the result.</td>
</tr>
</tbody>
</table>
<h5>Returns:</h5>
<div class="param-desc">
The modified result parameter or a new Array instance if none was provided.
</div>
<dl class="details">
<h5>Example:</h5>
<pre><code class="language-javascript">//Create an array of Cartesians and determine their Cartographic representation on a WGS84 ellipsoid.
const positions = [new Cesium.Cartesian3(17832.12, 83234.52, 952313.73),
new Cesium.Cartesian3(17832.13, 83234.53, 952313.73),
new Cesium.Cartesian3(17832.14, 83234.54, 952313.73)]
const cartographicPositions = Cesium.Ellipsoid.WGS84.cartesianArrayToCartographicArray(positions);</code></pre>
</dl>
<div class="nameContainer">
<h4 class="name" id="cartesianToCartographic">
<a href="#cartesianToCartographic" class="doc-link"></a>
cartesianToCartographic<span class="signature">(cartesian, <span class="optional">result</span>)</span> &rarr; <span class="type-signature returnType"><a href="Cartographic.html">Cartographic</a></span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/Ellipsoid.js#L463">Core/Ellipsoid.js 463</a>
</div>
</h4>
</div>
<div class="description">
Converts the provided cartesian to cartographic representation.
The cartesian is undefined at the center of the ellipsoid.
</div>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>cartesian</code></td>
<td class="type">
<span class="param-type"><a href="Cartesian3.html">Cartesian3</a></span>
</td>
<td class="description last">
The Cartesian position to convert to cartographic representation.</td>
</tr>
<tr>
<td class="name"><code>result</code></td>
<td class="type">
<span class="param-type"><a href="Cartographic.html">Cartographic</a></span>
</td>
<td class="description last">
<span class="optional">optional</span>
The object onto which to store the result.</td>
</tr>
</tbody>
</table>
<h5>Returns:</h5>
<div class="param-desc">
The modified result parameter, new Cartographic instance if none was provided, or undefined if the cartesian is at the center of the ellipsoid.
</div>
<dl class="details">
<h5>Example:</h5>
<pre><code class="language-javascript">//Create a Cartesian and determine it's Cartographic representation on a WGS84 ellipsoid.
const position = new Cesium.Cartesian3(17832.12, 83234.52, 952313.73);
const cartographicPosition = Cesium.Ellipsoid.WGS84.cartesianToCartographic(position);</code></pre>
</dl>
<div class="nameContainer">
<h4 class="name" id="cartographicArrayToCartesianArray">
<a href="#cartographicArrayToCartesianArray" class="doc-link"></a>
cartographicArrayToCartesianArray<span class="signature">(cartographics, <span class="optional">result</span>)</span> &rarr; <span class="type-signature returnType">Array.&lt;<a href="Cartesian3.html">Cartesian3</a>></span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/Ellipsoid.js#L426">Core/Ellipsoid.js 426</a>
</div>
</h4>
</div>
<div class="description">
Converts the provided array of cartographics to an array of Cartesians.
</div>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>cartographics</code></td>
<td class="type">
<span class="param-type">Array.&lt;<a href="Cartographic.html">Cartographic</a>></span>
</td>
<td class="description last">
An array of cartographic positions.</td>
</tr>
<tr>
<td class="name"><code>result</code></td>
<td class="type">
<span class="param-type">Array.&lt;<a href="Cartesian3.html">Cartesian3</a>></span>
</td>
<td class="description last">
<span class="optional">optional</span>
The object onto which to store the result.</td>
</tr>
</tbody>
</table>
<h5>Returns:</h5>
<div class="param-desc">
The modified result parameter or a new Array instance if none was provided.
</div>
<dl class="details">
<h5>Example:</h5>
<pre><code class="language-javascript">//Convert an array of Cartographics and determine their Cartesian representation on a WGS84 ellipsoid.
const positions = [new Cesium.Cartographic(Cesium.Math.toRadians(21), Cesium.Math.toRadians(78), 0),
new Cesium.Cartographic(Cesium.Math.toRadians(21.321), Cesium.Math.toRadians(78.123), 100),
new Cesium.Cartographic(Cesium.Math.toRadians(21.645), Cesium.Math.toRadians(78.456), 250)];
const cartesianPositions = Cesium.Ellipsoid.WGS84.cartographicArrayToCartesianArray(positions);</code></pre>
</dl>
<div class="nameContainer">
<h4 class="name" id="cartographicToCartesian">
<a href="#cartographicToCartesian" class="doc-link"></a>
cartographicToCartesian<span class="signature">(cartographic, <span class="optional">result</span>)</span> &rarr; <span class="type-signature returnType"><a href="Cartesian3.html">Cartesian3</a></span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/Ellipsoid.js#L396">Core/Ellipsoid.js 396</a>
</div>
</h4>
</div>
<div class="description">
Converts the provided cartographic to Cartesian representation.
</div>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>cartographic</code></td>
<td class="type">
<span class="param-type"><a href="Cartographic.html">Cartographic</a></span>
</td>
<td class="description last">
The cartographic position.</td>
</tr>
<tr>
<td class="name"><code>result</code></td>
<td class="type">
<span class="param-type"><a href="Cartesian3.html">Cartesian3</a></span>
</td>
<td class="description last">
<span class="optional">optional</span>
The object onto which to store the result.</td>
</tr>
</tbody>
</table>
<h5>Returns:</h5>
<div class="param-desc">
The modified result parameter or a new Cartesian3 instance if none was provided.
</div>
<dl class="details">
<h5>Example:</h5>
<pre><code class="language-javascript">//Create a Cartographic and determine it's Cartesian representation on a WGS84 ellipsoid.
const position = new Cesium.Cartographic(Cesium.Math.toRadians(21), Cesium.Math.toRadians(78), 5000);
const cartesianPosition = Cesium.Ellipsoid.WGS84.cartographicToCartesian(position);</code></pre>
</dl>
<div class="nameContainer">
<h4 class="name" id="clone">
<a href="#clone" class="doc-link"></a>
clone<span class="signature">(<span class="optional">result</span>)</span> &rarr; <span class="type-signature returnType"><a href="Ellipsoid.html">Ellipsoid</a></span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/Ellipsoid.js#L264">Core/Ellipsoid.js 264</a>
</div>
</h4>
</div>
<div class="description">
Duplicates an Ellipsoid instance.
</div>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>result</code></td>
<td class="type">
<span class="param-type"><a href="Ellipsoid.html">Ellipsoid</a></span>
</td>
<td class="description last">
<span class="optional">optional</span>
The object onto which to store the result, or undefined if a new
instance should be created.</td>
</tr>
</tbody>
</table>
<h5>Returns:</h5>
<div class="param-desc">
The cloned Ellipsoid.
</div>
<dl class="details">
</dl>
<div class="nameContainer">
<h4 class="name" id="equals">
<a href="#equals" class="doc-link"></a>
equals<span class="signature">(<span class="optional">right</span>)</span> &rarr; <span class="type-signature returnType">Boolean</span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/Ellipsoid.js#L623">Core/Ellipsoid.js 623</a>
</div>
</h4>
</div>
<div class="description">
Compares this Ellipsoid against the provided Ellipsoid componentwise and returns
<code>true</code> if they are equal, <code>false</code> otherwise.
</div>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>right</code></td>
<td class="type">
<span class="param-type"><a href="Ellipsoid.html">Ellipsoid</a></span>
</td>
<td class="description last">
<span class="optional">optional</span>
The other Ellipsoid.</td>
</tr>
</tbody>
</table>
<h5>Returns:</h5>
<div class="param-desc">
<code>true</code> if they are equal, <code>false</code> otherwise.
</div>
<dl class="details">
</dl>
<div class="nameContainer">
<h4 class="name" id="geocentricSurfaceNormal">
<a href="#geocentricSurfaceNormal" class="doc-link"></a>
geocentricSurfaceNormal<span class="signature">(cartesian, <span class="optional">result</span>)</span> &rarr; <span class="type-signature returnType"><a href="Cartesian3.html">Cartesian3</a></span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/Ellipsoid.js#L323">Core/Ellipsoid.js 323</a>
</div>
</h4>
</div>
<div class="description">
Computes the unit vector directed from the center of this ellipsoid toward the provided Cartesian position.
</div>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>cartesian</code></td>
<td class="type">
<span class="param-type"><a href="Cartesian3.html">Cartesian3</a></span>
</td>
<td class="description last">
The Cartesian for which to to determine the geocentric normal.</td>
</tr>
<tr>
<td class="name"><code>result</code></td>
<td class="type">
<span class="param-type"><a href="Cartesian3.html">Cartesian3</a></span>
</td>
<td class="description last">
<span class="optional">optional</span>
The object onto which to store the result.</td>
</tr>
</tbody>
</table>
<h5>Returns:</h5>
<div class="param-desc">
The modified result parameter or a new Cartesian3 instance if none was provided.
</div>
<dl class="details">
</dl>
<div class="nameContainer">
<h4 class="name" id="geodeticSurfaceNormal">
<a href="#geodeticSurfaceNormal" class="doc-link"></a>
geodeticSurfaceNormal<span class="signature">(cartesian, <span class="optional">result</span>)</span> &rarr; <span class="type-signature returnType"><a href="Cartesian3.html">Cartesian3</a></span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/Ellipsoid.js#L364">Core/Ellipsoid.js 364</a>
</div>
</h4>
</div>
<div class="description">
Computes the normal of the plane tangent to the surface of the ellipsoid at the provided position.
</div>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>cartesian</code></td>
<td class="type">
<span class="param-type"><a href="Cartesian3.html">Cartesian3</a></span>
</td>
<td class="description last">
The Cartesian position for which to to determine the surface normal.</td>
</tr>
<tr>
<td class="name"><code>result</code></td>
<td class="type">
<span class="param-type"><a href="Cartesian3.html">Cartesian3</a></span>
</td>
<td class="description last">
<span class="optional">optional</span>
The object onto which to store the result.</td>
</tr>
</tbody>
</table>
<h5>Returns:</h5>
<div class="param-desc">
The modified result parameter or a new Cartesian3 instance if none was provided, or undefined if a normal cannot be found.
</div>
<dl class="details">
</dl>
<div class="nameContainer">
<h4 class="name" id="geodeticSurfaceNormalCartographic">
<a href="#geodeticSurfaceNormalCartographic" class="doc-link"></a>
geodeticSurfaceNormalCartographic<span class="signature">(cartographic, <span class="optional">result</span>)</span> &rarr; <span class="type-signature returnType"><a href="Cartesian3.html">Cartesian3</a></span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/Ellipsoid.js#L332">Core/Ellipsoid.js 332</a>
</div>
</h4>
</div>
<div class="description">
Computes the normal of the plane tangent to the surface of the ellipsoid at the provided position.
</div>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>cartographic</code></td>
<td class="type">
<span class="param-type"><a href="Cartographic.html">Cartographic</a></span>
</td>
<td class="description last">
The cartographic position for which to to determine the geodetic normal.</td>
</tr>
<tr>
<td class="name"><code>result</code></td>
<td class="type">
<span class="param-type"><a href="Cartesian3.html">Cartesian3</a></span>
</td>
<td class="description last">
<span class="optional">optional</span>
The object onto which to store the result.</td>
</tr>
</tbody>
</table>
<h5>Returns:</h5>
<div class="param-desc">
The modified result parameter or a new Cartesian3 instance if none was provided.
</div>
<dl class="details">
</dl>
<div class="nameContainer">
<h4 class="name" id="getSurfaceNormalIntersectionWithZAxis">
<a href="#getSurfaceNormalIntersectionWithZAxis" class="doc-link"></a>
getSurfaceNormalIntersectionWithZAxis<span class="signature">(position, <span class="optional">buffer</span>, <span class="optional">result</span>)</span> &rarr; <span class="type-signature returnType"><a href="Cartesian3.html">Cartesian3</a>|undefined</span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/Ellipsoid.js#L655">Core/Ellipsoid.js 655</a>
</div>
</h4>
</div>
<div class="description">
Computes a point which is the intersection of the surface normal with the z-axis.
</div>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th>Default</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>position</code></td>
<td class="type">
<span class="param-type"><a href="Cartesian3.html">Cartesian3</a></span>
</td>
<td class="default">
</td>
<td class="description last">
the position. must be on the surface of the ellipsoid.</td>
</tr>
<tr>
<td class="name"><code>buffer</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="default">
<code class="language-javascript">0.0</code>
</td>
<td class="description last">
<span class="optional">optional</span>
A buffer to subtract from the ellipsoid size when checking if the point is inside the ellipsoid.
In earth case, with common earth datums, there is no need for this buffer since the intersection point is always (relatively) very close to the center.
In WGS84 datum, intersection point is at max z = +-42841.31151331382 (0.673% of z-axis).
Intersection point could be outside the ellipsoid if the ratio of MajorAxis / AxisOfRotation is bigger than the square root of 2</td>
</tr>
<tr>
<td class="name"><code>result</code></td>
<td class="type">
<span class="param-type"><a href="Cartesian3.html">Cartesian3</a></span>
</td>
<td class="default">
</td>
<td class="description last">
<span class="optional">optional</span>
The cartesian to which to copy the result, or undefined to create and
return a new instance.</td>
</tr>
</tbody>
</table>
<h5>Returns:</h5>
<div class="param-desc">
the intersection point if it's inside the ellipsoid, undefined otherwise
</div>
<h5>Throws:</h5>
<ul>
<li>
<div class="param-desc">
<span class="param-type"><a href="DeveloperError.html">DeveloperError</a></span>
: position is required.
</div>
</li>
<li>
<div class="param-desc">
<span class="param-type"><a href="DeveloperError.html">DeveloperError</a></span>
: Ellipsoid must be an ellipsoid of revolution (radii.x == radii.y).
</div>
</li>
<li>
<div class="param-desc">
<span class="param-type"><a href="DeveloperError.html">DeveloperError</a></span>
: Ellipsoid.radii.z must be greater than 0.
</div>
</li>
</ul>
<dl class="details">
</dl>
<div class="nameContainer">
<h4 class="name" id="scaleToGeocentricSurface">
<a href="#scaleToGeocentricSurface" class="doc-link"></a>
scaleToGeocentricSurface<span class="signature">(cartesian, <span class="optional">result</span>)</span> &rarr; <span class="type-signature returnType"><a href="Cartesian3.html">Cartesian3</a></span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/Ellipsoid.js#L549">Core/Ellipsoid.js 549</a>
</div>
</h4>
</div>
<div class="description">
Scales the provided Cartesian position along the geocentric surface normal
so that it is on the surface of this ellipsoid.
</div>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>cartesian</code></td>
<td class="type">
<span class="param-type"><a href="Cartesian3.html">Cartesian3</a></span>
</td>
<td class="description last">
The Cartesian position to scale.</td>
</tr>
<tr>
<td class="name"><code>result</code></td>
<td class="type">
<span class="param-type"><a href="Cartesian3.html">Cartesian3</a></span>
</td>
<td class="description last">
<span class="optional">optional</span>
The object onto which to store the result.</td>
</tr>
</tbody>
</table>
<h5>Returns:</h5>
<div class="param-desc">
The modified result parameter or a new Cartesian3 instance if none was provided.
</div>
<dl class="details">
</dl>
<div class="nameContainer">
<h4 class="name" id="scaleToGeodeticSurface">
<a href="#scaleToGeodeticSurface" class="doc-link"></a>
scaleToGeodeticSurface<span class="signature">(cartesian, <span class="optional">result</span>)</span> &rarr; <span class="type-signature returnType"><a href="Cartesian3.html">Cartesian3</a></span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/Ellipsoid.js#L531">Core/Ellipsoid.js 531</a>
</div>
</h4>
</div>
<div class="description">
Scales the provided Cartesian position along the geodetic surface normal
so that it is on the surface of this ellipsoid. If the position is
at the center of the ellipsoid, this function returns undefined.
</div>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>cartesian</code></td>
<td class="type">
<span class="param-type"><a href="Cartesian3.html">Cartesian3</a></span>
</td>
<td class="description last">
The Cartesian position to scale.</td>
</tr>
<tr>
<td class="name"><code>result</code></td>
<td class="type">
<span class="param-type"><a href="Cartesian3.html">Cartesian3</a></span>
</td>
<td class="description last">
<span class="optional">optional</span>
The object onto which to store the result.</td>
</tr>
</tbody>
</table>
<h5>Returns:</h5>
<div class="param-desc">
The modified result parameter, a new Cartesian3 instance if none was provided, or undefined if the position is at the center.
</div>
<dl class="details">
</dl>
<div class="nameContainer">
<h4 class="name" id="surfaceArea">
<a href="#surfaceArea" class="doc-link"></a>
surfaceArea<span class="signature">(rectangle)</span> &rarr; <span class="type-signature returnType">Number</span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/Ellipsoid.js#L764">Core/Ellipsoid.js 764</a>
</div>
</h4>
</div>
<div class="description">
Computes an approximation of the surface area of a rectangle on the surface of an ellipsoid using
Gauss-Legendre 10th order quadrature.
</div>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>rectangle</code></td>
<td class="type">
<span class="param-type"><a href="Rectangle.html">Rectangle</a></span>
</td>
<td class="description last">
The rectangle used for computing the surface area.</td>
</tr>
</tbody>
</table>
<h5>Returns:</h5>
<div class="param-desc">
The approximate area of the rectangle on the surface of this ellipsoid.
</div>
<dl class="details">
</dl>
<div class="nameContainer">
<h4 class="name" id="toString">
<a href="#toString" class="doc-link"></a>
toString<span class="signature">()</span> &rarr; <span class="type-signature returnType">String</span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/Ellipsoid.js#L635">Core/Ellipsoid.js 635</a>
</div>
</h4>
</div>
<div class="description">
Creates a string representing this Ellipsoid in the format '(radii.x, radii.y, radii.z)'.
</div>
<h5>Returns:</h5>
<div class="param-desc">
A string representing this ellipsoid in the format '(radii.x, radii.y, radii.z)'.
</div>
<dl class="details">
</dl>
<div class="nameContainer">
<h4 class="name" id="transformPositionFromScaledSpace">
<a href="#transformPositionFromScaledSpace" class="doc-link"></a>
transformPositionFromScaledSpace<span class="signature">(position, <span class="optional">result</span>)</span> &rarr; <span class="type-signature returnType"><a href="Cartesian3.html">Cartesian3</a></span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/Ellipsoid.js#L605">Core/Ellipsoid.js 605</a>
</div>
</h4>
</div>
<div class="description">
Transforms a Cartesian X, Y, Z position from the ellipsoid-scaled space by multiplying
its components by the result of <a href="Ellipsoid.html#radii"><code>Ellipsoid#radii</code></a>.
</div>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>position</code></td>
<td class="type">
<span class="param-type"><a href="Cartesian3.html">Cartesian3</a></span>
</td>
<td class="description last">
The position to transform.</td>
</tr>
<tr>
<td class="name"><code>result</code></td>
<td class="type">
<span class="param-type"><a href="Cartesian3.html">Cartesian3</a></span>
</td>
<td class="description last">
<span class="optional">optional</span>
The position to which to copy the result, or undefined to create and
return a new instance.</td>
</tr>
</tbody>
</table>
<h5>Returns:</h5>
<div class="param-desc">
The position expressed in the unscaled space. The returned instance is the
one passed as the result parameter if it is not undefined, or a new instance of it is.
</div>
<dl class="details">
</dl>
<div class="nameContainer">
<h4 class="name" id="transformPositionToScaledSpace">
<a href="#transformPositionToScaledSpace" class="doc-link"></a>
transformPositionToScaledSpace<span class="signature">(position, <span class="optional">result</span>)</span> &rarr; <span class="type-signature returnType"><a href="Cartesian3.html">Cartesian3</a></span>
<div class="source-link rightLinks">
<a href="https://github.com/CesiumGS/cesium/blob/1.91/Source/Core/Ellipsoid.js#L584">Core/Ellipsoid.js 584</a>
</div>
</h4>
</div>
<div class="description">
Transforms a Cartesian X, Y, Z position to the ellipsoid-scaled space by multiplying
its components by the result of <a href="Ellipsoid.html#oneOverRadii"><code>Ellipsoid#oneOverRadii</code></a>.
</div>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>position</code></td>
<td class="type">
<span class="param-type"><a href="Cartesian3.html">Cartesian3</a></span>
</td>
<td class="description last">
The position to transform.</td>
</tr>
<tr>
<td class="name"><code>result</code></td>
<td class="type">
<span class="param-type"><a href="Cartesian3.html">Cartesian3</a></span>
</td>
<td class="description last">
<span class="optional">optional</span>
The position to which to copy the result, or undefined to create and
return a new instance.</td>
</tr>
</tbody>
</table>
<h5>Returns:</h5>
<div class="param-desc">
The position expressed in the scaled space. The returned instance is the
one passed as the result parameter if it is not undefined, or a new instance of it is.
</div>
<dl class="details">
</dl>
</article>
</section>
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