Maurice Tutor

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About Maurice Tutor

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Elementary,Middle School,High School,College,University,PHD

Expertise:
Algebra,Applied Sciences See all
Algebra,Applied Sciences,Biology,Calculus,Chemistry,Economics,English,Essay writing,Geography,Geology,Health & Medical,Physics,Science Hide all
Teaching Since: May 2017
Last Sign in: 408 Weeks Ago, 4 Days Ago
Questions Answered: 66690
Tutorials Posted: 66688

Education

  • MCS,PHD
    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

Experience

  • Professor
    Phoniex University
    Oct-2001 - Nov-2016

Category > Management Posted 21 Oct 2017 My Price 7.00

surface of a sphere

The shortest path between two points on a curved surface, such as the surface of a sphere, is called a geodesic. To find a geodesic, one has first to set up an integral that gives the length of a path on the surface in question. This will always be similar to the integral (6.2) but may be more complicated (depending on the nature of the surface) and may involve different coordinates than x and y. To illustrate this, use spherical polar coordinates (r, 0, 0) to show that the length of a path joining two points on a sphere of radius R is

if (θ1 , ϕ 1 ) and (θ2 , ϕ2) specify the two points and we assume that the path is expressed as 0 = (0). (You will find how to minimize this length in Problem 6.16.)

Figure 6.8 Problem 6.3

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Maurice Tutor
(5)
Status NEW Posted 21 Oct 2017 01:10 PM My Price 7.00

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