Skip to main content

"Great Circle calculations in Python using Vincenty's formulae"

Project description

pygc Tests

Great Circle calculations for Python 2/3 using Vincenty's formulae

Installation

pip pip install pygc

conda conda install -c conda-forge pygc

development pip install git+https://github.com/axiom-data-science/pygc.git

Great Circle

from pygc import great_circle

New point from initial point, distance, and azimuth

great_circle(distance=111000, azimuth=65, latitude=30, longitude=-74)
{'latitude': 30.41900364921926,
'longitude': -72.952930949727573,
'reverse_azimuth': 245.52686122611451}

Three new points in three different angles from an initial point

great_circle(distance=[100000, 200000, 300000], azimuth=[90, 180, -90], latitude=30, longitude=-74)
{'latitude': array([29.99592067, 28.1955554, 29.96329797]),
'longitude': array([-72.96361148, -74., -77.10848799]),
'reverse_azimuth': array([270.51817296, 360., 88.44633085])}

Three point south of three initial points (longitude shouldn't change much)

great_circle(distance=[100000, 200000, 300000], azimuth=180, latitude=30, longitude=[-74, -75, -76])
{'latitude': array([29.09783841, 28.1955554, 27.29315337]),
'longitude': array([-74., -75., -76.]),
'reverse_azimuth': array([360., 360., 360.])}

Three point west of three initial points (latitude shouldn't change much)

great_circle(distance=[100000, 200000, 300000], azimuth=270, latitude=[30, 31, 32], longitude=-74)
{'latitude': array([ 29.99592067, 30.98302388, 31.96029484]),
 'longitude': array([-75.03638852, -76.09390011, -77.17392199]),
 'reverse_azimuth': array([ 89.48182704, 88.92173899, 88.31869938])}

Starburst pattern around a point

great_circle(distance=100000, azimuth=[0, 60, 120, 180, 240, 300], latitude=30, longitude=-74)
{'latitude': array([ 30.90203788, 30.44794729, 29.54590235, 29.09783841, 29.54590235, 30.44794729]),
 'longitude': array([-74., -73.09835956, -73.10647702, -74., -74.89352298, -74.90164044]),
 'reverse_azimuth': array([ 180., 240.45387965, 300.44370186, 360., 59.55629814, 119.54612035])}

Great Distance

Distance between each pair of points is returned in meters.

from pygc import great_distance

Distance and angle between two points

great_distance(start_latitude=30, start_longitude=-74, end_latitude=40, end_longitude=-74)
{'azimuth': 0.0, 'distance': array(1109415.6324018822), 'reverse_azimuth': 180.0}

Distance and angle between two sets of points

great_distance(start_latitude=[30, 35], start_longitude=[-74, -79], end_latitude=[40, 45], end_longitude=[-74, -79])
{'azimuth': array([0., 0.]),
 'distance': array([1109415.63240188, 1110351.47627673]),
 'reverse_azimuth': array([180., 180.])}

Distance and angle between initial point and three end points

great_distance(start_latitude=30, start_longitude=-74, end_latitude=[40, 45, 50], end_longitude=[-74, -74, -74])
{'azimuth': array([0., 0., 0.]),
 'distance': array([1109415.63240188, 1664830.98002662, 2220733.64373152]),
 'reverse_azimuth': array([180., 180., 180.])}

Source

Algrothims from Geocentric Datum of Australia Technical Manual

https://www.icsm.gov.au/sites/default/files/2017-09/gda-v_2.4_0.pdf Computations on the Ellipsoid

There are a number of formulae that are available to calculate accurate geodetic positions, azimuths and distances on the ellipsoid.

Vincenty's formulae (Vincenty, 1975) may be used for lines ranging from a few cm to nearly 20,000 km, with millimetre accuracy. The formulae have been extensively tested for the Australian region, by comparison with results from other formulae (Rainsford, 1955 & Sodano, 1965).

Project details


Download files

Download the file for your platform. If you're not sure which to choose, learn more about installing packages.

Source Distribution

pygc-1.3.0.tar.gz (21.4 kB view hashes)

Uploaded source

Built Distribution

pygc-1.3.0-py3-none-any.whl (21.1 kB view hashes)

Uploaded py3

Supported by

AWS AWS Cloud computing Datadog Datadog Monitoring Facebook / Instagram Facebook / Instagram PSF Sponsor Fastly Fastly CDN Google Google Object Storage and Download Analytics Huawei Huawei PSF Sponsor Microsoft Microsoft PSF Sponsor NVIDIA NVIDIA PSF Sponsor Pingdom Pingdom Monitoring Salesforce Salesforce PSF Sponsor Sentry Sentry Error logging StatusPage StatusPage Status page