scholarly journals Applying Spherical Triangle Concept in Simulator to Determine Distance and Direction of Ship

2019 ◽  
Author(s):  
Damoyanto Purba ◽  
Novita Hindri Harini ◽  
Agus Dina Mirianto ◽  
Zainullah Zuhri
Keyword(s):  
Spherical Triangle

The Earth's Magnetic Field

1950 ◽  
Vol 3 (1) ◽  
pp. 1-9
Author(s):  
Harold Spencer Jones
Keyword(s):  
Magnetic Field ◽  
High Speed ◽  
Spherical Triangle ◽  
Basic Data ◽  
Earth’S Magnetic Field ◽  
Wide Range ◽  
Earth's Magnetic Field ◽  
The Many ◽  
Right Ascension ◽  
Nautical Almanac

The Institute has now completed two years of its existence. The papers which have been read before it during these two years have covered a wide range of subjects and have served to emphasize the many ramifications of the science of navigation. Because of the high speed of modern aircraft, air navigation presents more problems and of greater variety than surface navigation, but even on the problems of surface navigation there has been ample scope for a wide range of discussion. The Institute has taken a prominent part in the discussion of the proposals for the revision of the Abridged Nautical Almanac. It might with some reason have been supposed that there was nothing more to be said on the methods of reducing astro-sights and determining position at sea. The problem is perfectly straightforward and there is a limit to the number of different ways in which the spherical triangle can be solved. But the essential basic data can be presented in a variety of ways, while there are many possible methods of presenting tables for the solution of the spherical triangle. The decision to use Greenwich hour angle instead of right ascension in the Abridged Nautical Almanac has followed its adoption in the Air Almanac; the revised Almanac will have an entirely different format from the present, while the methods of reducing sights must be correspondingly modified.

Areas, Angles, and Polyhedra

2017 ◽  
Author(s):  
Glen Van Brummelen
Keyword(s):  
Eighteenth Century ◽  
Unit Sphere ◽  
Regular Polyhedron ◽  
Spherical Triangle ◽  
French Mathematician ◽  
Regular Polyhedra ◽  
Leonhard Euler ◽  
Spherical Triangles

This chapter explains how to find the area of an angle or polyhedron. It begins with a discussion of how to determine the area of a spherical triangle or polygon. The formula for the area of a spherical triangle is named after Albert Girard, a French mathematician who developed a theorem on the areas of spherical triangles, found in his Invention nouvelle. The chapter goes on to consider Euler's polyhedral formula, named after the eighteenth-century mathematician Leonhard Euler, and the geometry of a regular polyhedron. Finally, it describes an approach to finding the proportion of the volume of the unit sphere that the various regular polyhedra occupy.

THE STEREOGRAPHIC SOLUTION OF THE SPHERICAL TRIANGLE

1933 ◽  
Vol 2 (10) ◽  
pp. 226-238
Author(s):  
A. J. Potter
Keyword(s):  
Spherical Triangle

Design of the Scheme Flight Trajectory Command for the Tactical Missile

2011 ◽  
Vol 480-481 ◽  
pp. 1426-1431
Author(s):  
Yong Tao Zhao ◽  
Yun An Hu
Keyword(s):  
Exponential Function ◽  
Solution Method ◽  
Great Circle ◽  
Spherical Triangle ◽  
Flight Trajectory ◽  
The Earth ◽  
Lateral Plane ◽  
Heading Angle ◽  
Simulation Results

For the case of the scheme trajectory command design for the tactical missile, the longitudinal and lateral commands and the compound controller of the attitude and height were designed. In the launch segment, four kinds of heading angle commands were presented adopting the arc method and reduction law. In the variable height flight segment, two kinds of height commands were gained by using the parabolic and exponential function. Considering the earth curvature, the formula of the great circle course and distance was gotten applying spherical triangle solution method, and the flight command along the route dot in the lateral plane was obtained. The simulation results show that the designed scheme trajectory commands are feasible and effectively.

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