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Presentation
HCR's Cosine Formula (Angle between the chords of any two great circle arcs meeting each other at a common end point at some angle)
Madan Mohan Malaviya University of Technolgy, Gorakhpur-273010 UP India (2016)
  • Harish Chandra Rajpoot, HCR
Abstract
This is the derivation of a dimensionless formula (angle-angle relation) which is independent of radius of the sphere & holds good for any spherical surface to find out angle between the chords of any two great arcs meeting each other at a common end point at some angle. It is used to find out the minimum distance between any two points on a spherical surface of finite radius. It can also be used to find out the length of any one of two intersecting great circle arcs if length of other arc, radius of sphere, angle of intersection & plane angle of chords are known.
Keywords
  • Spherical geometry,
  • HCR's cosine formula,
  • angle between the chords of any two great circle arcs,
  • 3d Geometry,
  • angle between the intersecting great circle arcs
Publication Date
Fall August 15, 2016
Location
Mahoba
Comments
Excellent
Citation Information
Harish Chandra Rajpoot. "HCR's Cosine Formula (Angle between the chords of any two great circle arcs meeting each other at a common end point at some angle)" Madan Mohan Malaviya University of Technolgy, Gorakhpur-273010 UP India (2016)
Available at: http://works.bepress.com/harishchandrarajpoot_hcrajpoot/52/