slant2grndrange

Convert slant range to ground range projection

Syntax

grndrng = slant2grndrange(slrng,grazang)

Description

grndrng = slant2grndrange(slrng,grazang) returns the ground range projection grndrng corresponding to the slant range slrng and grazing angle grazang.

Examples

Slant Range to Ground Range Projection

Determine the ground range projection given a slant range of 2000 m and a grazing angle of ${30}^{\circ }$.

slantrng = 2000;
grazang = 30;

Compute the ground range projection.

grndrng = slant2grndrange(slantrng,grazang)

grndrng = 1.7321e+03

Ground Range Projection for Flat and Curved Earth

Compute the ground range projection for a target having a slant range of 1000 m from a sensor. The sensor is mounted on a platform that is 300 m above ground. Assume the Earth is flat.

gang = grazingang(300,1000);  % Grazing angle
depang = gang;                % Depression angle
grndrng = slant2grndrange(1000,gang)

grndrng = 953.9561

Repeat the computation, but now assume the Earth is curved.

Rearth = physconst('earthradius');

gangsph = grazingang(300,1000,'Curved',Rearth);      % Grazing angle
depangsph = depressionang(300,1000,'Curved',Rearth); % Depression angle
tgtHeight = 0;                                       % Smooth Earth
Re = effearthradius(1000,300,tgtHeight);             % Effective Earth radius
grndrngcurved = Re*deg2rad(depangsph-gangsph)

grndrngcurved = 1.2344e+03

Input Arguments

slrng — Slant range

scalar | vector

Slant range in meters, specified as a positive real scalar or vector.

Data Types: double

grazang — Grazing angle

scalar in the range [0, 90]

Grazing angle in degrees, specified as a scalar in the range [0, 90].

Data Types: double

Output Arguments

grndrng — Ground range projection

scalar | vector

Ground range projection in meters, returned as a positive real scalar or vector. grndrng has the same dimensionality as slrng.

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.

Version History

Introduced in R2021a