# n_EB_E2p_EB_E: Convert n-vector to cartesian position vector in meters In nvctr: The n-vector Approach to Geographical Position Calculations using an Ellipsoidal Model of Earth

## Description

The function converts the position of B (typically body) relative to E (typically Earth), the n-vector `n_EB_E` to cartesian position vector ("ECEF-vector"), `p_EB_E`, in meters.

## Usage

 `1` ```n_EB_E2p_EB_E(n_EB_E, z_EB = 0, a = 6378137, f = 1/298.257223563) ```

## Arguments

 `n_EB_E` n-vector of position B, decomposed in E (3x1 vector) (no unit) `z_EB` Depth of system B, relative to the ellipsoid (z_EB = -height) (m, default 0) `a` Semi-major axis of the Earth ellipsoid (m, default [WGS-84] 6378137) `f` Flattening of the Earth ellipsoid (no unit, default [WGS-84] 1/298.257223563)

## Details

The calculation is exact, taking the ellipticity of the Earth into account.

It is also nonsingular as both n-vector and p-vector are nonsingular (except for the center of the Earth). The default ellipsoid model used is WGS-84, but other ellipsoids (or spheres) might be specified via the optional parameters `a` and `f`.

## Value

Cartesian position vector from E to B, decomposed in E (3x1 vector) (m)

## References

Kenneth Gade A Nonsingular Horizontal Position Representation. The Journal of Navigation, Volume 63, Issue 03, pp 395-417, July 2010.

`p_EB_E2n_EB_E`, `n_EA_E_and_p_AB_E2n_EB_E` and `n_EA_E_and_n_EB_E2p_AB_E`.
 ```1 2``` ```n_EB_E <- lat_lon2n_E(rad(1), rad(2)) n_EB_E2p_EB_E(n_EB_E) ```