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# map.geodesy.IsometricLatitudeConverter

Convert between geodetic and isometric latitudes

## Description

An `IsometricLatitudeConverter` object provides conversion methods between geodetic and isometric latitudes for an ellipsoid with a given eccentricity.

The isometric latitude is a nonlinear function of the geodetic latitude that is directly proportional to the spacing of parallels, relative to the Equator, in an ellipsoidal Mercator projection. It is a dimensionless quantity and, unlike other types of auxiliary latitude, the isometric latitude is not angle-valued. It equals `Inf` at the north pole and `-Inf` at the south pole.

## Creation

### Syntax

``````converter = map.geodesy.IsometricLatitudeConverter``````
``````converter = map.geodesy.IsometricLatitudeConverter(spheroid)``````

### Description

example

``` ```converter = map.geodesy.IsometricLatitudeConverter``` returns an `IsometricLatitudeConverter` object for a sphere and sets the `Eccentricity` property to `0`.```

example

``` ```converter = map.geodesy.IsometricLatitudeConverter(spheroid)``` returns an isometric latitude converter object and sets the `Eccentricity` property to match the specified spheroid object.```

### Input Arguments

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Reference spheroid, specified as a `referenceEllipsoid`, `oblateSpheroid`, or `referenceSphere` object. To create a spheroid object, use the creation function specific to the object, or the `wgs84Ellipsoid` function.

Example: `spheroid = referenceEllipsoid('GRS 80');`

## Properties

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Ellipsoid eccentricity, specified as a numeric scalar. `Eccentricity` is in the interval [0, 0.5]. Eccentricities larger than 0.5 are possible in theory, but do not occur in practice and are not supported.

Data Types: `double`

## Object Functions

 `forward` Convert geodetic latitude to authalic, conformal, isometric, or rectifying latitude `inverse` Convert authalic, conformal, isometric, or rectifying latitude to geodetic latitude

## Examples

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```grs80 = referenceEllipsoid('GRS 80'); conv1 = map.geodesy.IsometricLatitudeConverter; conv1.Eccentricity = grs80.Eccentricity```
```conv1 = IsometricLatitudeConverter with properties: Eccentricity: 0.0818```
```grs80 = referenceEllipsoid('GRS 80'); conv2 = map.geodesy.IsometricLatitudeConverter(grs80) ```
```conv2 = IsometricLatitudeConverter with properties: Eccentricity: 0.0818```

#### Introduced in R2013a

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##### Support 