Problem 190. Great Circle Distance

Created by @bmtran (Bryant Tran)

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?><w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Find shortest between two points on a ball given their azimuthal and polar angles (in degrees) as well as the radius of the sphere.</w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

Solve

Solution Stats

413 Solutions
102 Solvers

Last Solution submitted on Mar 05, 2021

Last 200 Solutions

Problem Comments

3 Comments

3 Comments

Mark on 4 Jul 2012

I took complements of the test case polar angles in order to agree with customary definitions of polar angle.

William on 14 May 2016

I agree. Polar angles are, by convention, measured from the pole, but in this problem you have to consider them to be measure from the equator if you wish to agree with the test cases.

Fabricio Castro on 3 Nov 2020

I think considering polar angles measured from pole or from equator does not affect the result in this problem. But if you consider polar angle of the first point measured from pole and the polar angle of the second one from equator it will produce misleading solutions. So, you need to stabilish the same convention for both points.

Problem Recent Solvers102

Problem Tags

azimuth distance geodesic great circle latitude longitude polar

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 190. Great Circle Distance

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers102

Suggested Problems

More from this Author56

Problem Tags

Community Treasure Hunt

Problem 190. Great Circle Distance

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers102

Suggested Problems

More from this Author56

Problem Tags

Community Treasure Hunt

Players