n_EB_E2p_EB_E {nvctr}

Convert n-vector to cartesian position vector in meters

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

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.

See Also

p_EB_E2n_EB_E, n_EA_E_and_p_AB_E2n_EB_E and n_EA_E_and_n_EB_E2p_AB_E.

Examples

n_EB_E  <- lat_lon2n_E(rad(1), rad(2))
n_EB_E2p_EB_E(n_EB_E)