My Math Forum  

Go Back   My Math Forum > College Math Forum > Real Analysis

Real Analysis Real Analysis Math Forum

LinkBack Thread Tools Display Modes
December 13th, 2012, 01:30 AM   #1
Joined: Dec 2012

Posts: 1
Thanks: 0

Calculate the arc length between 2 points over a hypersphere

Good morning,

I'm trying to compute the arclength (geodesic distance) between two n-dimensional points over a n-dimensional sphere (hypersphere). Do you know if it is possible? If yes, please, I'd be very pleased if you, as experts, provide me this knowledge.

Thank you very much
7toni7 is offline  
December 23rd, 2012, 08:00 AM   #2
Senior Member
Joined: Dec 2012

Posts: 372
Thanks: 2

Re: Calculate the arc length between 2 points over a hypersp

Get the 2 vectors connecting the respective hypershperical points to its center, say A and B. Compute the angle (^) between A and B with Cos(^) = A.B / |A|.|B| . The geodesic arclength between the points is (^) times r where r is the radius of the hypersphere and (^) is given in radian measure.
AfroMike is offline  

  My Math Forum > College Math Forum > Real Analysis

arc, calculate, hypersphere, length, points

Thread Tools
Display Modes

Similar Threads
Thread Thread Starter Forum Replies Last Post
Looking for a formula to calculate a chord length rainycat Algebra 2 July 23rd, 2013 11:50 PM
Calculate distance between two limited length vectors iqbad Algebra 1 April 12th, 2013 03:38 PM
calculate distance between 2 geo points clankill3r Algebra 1 December 21st, 2011 06:17 AM
how do I calculate radius of a circle, from chord length? ,, boki-san Algebra 1 February 13th, 2011 10:34 AM
Calculate the length of the side of an irregular tetragon. Mr Spot Algebra 15 November 20th, 2008 05:56 PM

Copyright © 2018 My Math Forum. All rights reserved.