# Documentation

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# lv2ecef

Convert local vertical to geocentric (ECEF) coordinates

`lv2ecef` will be removed in a future release. Use `enu2ecef` instead. In `enu2ecef`, the latitude and longitude of the local origin are in degrees by default, so the optional `angleUnit` input should be included, with the value `'radians'`.

## Syntax

```[x,y,z] = lv2ecef(xl,yl,zl,phi0,lambda0,h0,ellipsoid) ```

## Description

`[x,y,z] = lv2ecef(xl,yl,zl,phi0,lambda0,h0,ellipsoid)` converts arrays `xl`, `yl`, and `zl` in the local vertical coordinate system to arrays `x`, `y`, and `z` in the geocentric coordinate system. The origin of the local vertical system is at geodetic latitude `phi0`, geodetic longitude `lambda0`, and ellipsoidal height `h0`. The arrays `xl`, `yl`, and `zl` may have any shape, as long as they are all the same size. They are measured in the same length units as the semimajor axis. `phi0` and `lambda0` are scalars measured in radians; `h0` is a scalar with the same length units as the semimajor axis; and `ellipsoid` is a `referenceEllipsoid` (`oblateSpheroid`) object, a `referenceSphere` object, or a vector of the form ```[semimajor axis, eccentricity]```). The coordinates `x`, `y`, and `z` also have the same units as the semimajor axis.

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### Local Vertical System

In the local vertical Cartesian system defined by `phi0`, `lambda0`, `h0`, and `ellipsoid`, the `xl` axis is parallel to the plane tangent to the ellipsoid at (`phi0`,`lambda0`) and points due east. The `yl` axis is parallel to the same plane and points due north. The `zl` axis is normal to the ellipsoid at (`phi0`,`lambda0`) and points outward into space. The local vertical system is sometimes referred to as East-North-Up or ENU.

### Geocentric System

The geocentric Cartesian coordinate system, also known as Earth-Centered, Earth-Fixed (ECEF), is fixed with respect to the Earth, with its origin at the center of the spheroid and its positive X-, Y-, and Z axes intersecting the surface at the following points:

LatitudeLongitude Notes
X-axis00Equator at the Prime Meridian
Y-axis090Equator at 90-degrees East
Z-zxis900North Pole

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