Convert spherical to Cartesian coordinates (degrees)

Converts a line or plane orientation in spherical coordinates to direction cosines in a North–East–Down system.

Usage

SphToCartD(trd, plg, k = 0)

Arguments

trd

Numeric. Trend of the line (degrees, k = 0) or strike of the plane (degrees, right-hand rule, k = 1).

plg

Numeric. Plunge of the line (degrees, k = 0) or dip of the plane (degrees, k = 1).

k

Integer. 0 for a line (trend/plunge); 1 for a plane (strike/dip, right-hand rule). Default 0.

Value

A named list with components cn, ce, and cd (north, east, and down direction cosines).

References

Allmendinger, R. W., Cardozo, N., & Fisher, D. M. (2012). Structural geology algorithms: Vectors and tensors. Cambridge university press.

See also

Other structural algorithms: Angles(), CartToSphD(), GreatCircleD(), Pole(), Rotate(), SmallCircleD(), StCoordLineD(), StPointD()

Examples

SphToCartD(trd = 45, plg = 30)
#> $cn
#> [1] 0.6123724
#> 
#> $ce
#> [1] 0.6123724
#> 
#> $cd
#> [1] 0.5
#> 
SphToCartD(trd = 60, plg = 36, k = 1)
#> $cn
#> [1] 0.509037
#> 
#> $ce
#> [1] -0.2938926
#> 
#> $cd
#> [1] 0.809017
#>