# jord: Geographical Position Calculations

[ bsd3, geography, library, program ] [ Propose Tags ]

Versions [faq] 0.1.0.0, 0.2.0.0, 0.3.0.0, 0.3.1.0, 0.4.0.0, 0.4.1.0, 0.4.2.0, 0.5.0.0, 0.6.0.0 ChangeLog.md base (>=4.9 && <5), criterion, haskeline (==0.7.*), jord [details] BSD-3-Clause 2018 Cedric Liegeois Cedric Liegeois Cedric Liegeois Geography https://github.com/ofmooseandmen/jord https://github.com/ofmooseandmen/jord/issues head: git clone https://github.com/ofmooseandmen/jord by CedricLiegeois at Sat Dec 8 06:29:20 UTC 2018 NixOS:0.6.0.0 jord-repl, jord-benchmarks 898 total (90 in the last 30 days) (no votes yet) [estimated by rule of succession] λ λ λ Docs uploaded by userBuild status unknown

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# Jord - Geographical Position Calculations

Jord [Swedish] is Earth [English]

## What is this?

Jord is a Haskell library that implements various geographical position calculations using the algorithms described in Gade, K. (2010). A Non-singular Horizontal Position Representation and in Shudde, Rex H. (1986). Some tactical algorithms for spherical geometry:

• transformation between ECEF (earth-centred, earth-fixed), latitude/longitude and n-vector positions for spherical and ellipsoidal earth model,
• transformation between latitude/longitude and n-vector positions,
• local, body and north, east, down Frames: delta between positions, target position from reference position and delta,
• geodetics: surface distance, initial & final bearing, interpolated position, great circle intersections, cross track distance, ...,
• kinematics: position from p0, bearing and speed, closest point of approach between tracks, intercept (time, speed, minimum speed).

## How do I build it?

If you have Stack, then:

$stack build --test  ## How do I use it? import Data.Geo.Jord -- Delta between positions in frameL let p1 = decimalLatLongHeight 1 2 (metres (-3)) let p2 = decimalLatLongHeight 4 5 (metres (-6)) let w = decimalDegrees 5 -- wander azimuth deltaBetween p1 p2 (frameL w) wgs84 -- deltaMetres 359490.579 302818.523 17404.272 -- destination position from 531914N0014347W having travelled 500Nm on a heading of 96.0217° -- using mean earth radius derived from the WGS84 ellipsoid destination84 (readLatLong "531914N0014347W") (decimalDegrees 96.0217) (nauticalMiles 500) -- using mean earth radius derived from the GRS80 ellipsoid destination (readLatLong "531914N0014347W") (decimalDegrees 96.0217) (nauticalMiles 500) r80 -- surface distance between 54°N,154°E and its antipodal position let p = decimalLatLong 54 154 -- using mean earth radius derived from the WGS84 ellipsoid surfaceDistance84 p (antipode p) -- using mean earth radius derived from the GRS80 ellipsoid surfaceDistance p (antipode p) r80 -- closest point of approach between tracks let p1 = decimalLatLong 20 (-60) let b1 = decimalDegrees 10 let s1 = knots 15 let p2 = decimalLatLong 34 (-50) let b2 = decimalDegrees 220 let s2 = knots 300 let t1 = Track p1 b1 s1 let t2 = Track p2 b2 s2 -- using mean earth radius derived from the WGS84 ellipsoid cpa84 t1 t2 -- using mean earth radius derived from the WGS72 ellipsoid cpa t1 t2 r72  Jord comes with a REPL (built with haskeline): $ jord-exe
jord> finalBearing (destination (antipode 54°N,154°E) 54° 1000m) 54°N,154°E
jord> angle: 126°0'0.0" (126.0)
jord> f = frameB 10d 20d 30d
jord> Body (vehicle) frame:
yaw  : 10°0'0.000" (10.0)
pitch: 20°0'0.000" (20.0)
roll : 30°0'0.000" (30.0)
jord> d = delta 3000 2000 100
jord> Delta:
x: 3.0km
y: 2.0km
z: 0.1km
jord> p0 = geo 49.66618 3.45063 0
jord> latlong: 49°39'58.248"N,3°27'2.268"E (49.66618, 3.45063)
height : 0.0km
jord> target p0 f d wgs84
jord> latlong: 49°41'30.486"N,3°28'52.561"E (49.69180166666667, 3.4812669444444446)
height : 6.0077e-3km
jord>