NavList:
A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding
From: Andrés Ruiz
Date: 2009 Oct 23, 11:41 +0200
I spent a pleasant time
understanding and programming methods that Robin proposes in his paper: “Applications
of Complex Analysis to Celestial Navigation”.
For those interested the source code
has been attached in ANSI C. Is not very elegant, not use a complex C++ class,
but it works!
Andrés Ruiz
Navigational Algorithms
http://sites.google.com/site/navigationalalgorithms/
-----Mensaje original-----
De:
Enviado el: jueves, 01 de octubre de 2009 14:22
Para:
Asunto: [NavList 10018] Re: two-body computed fix. was: assumed positions
Robin, glad to see more papers about celestial navigation in these
days.
Traditional approach to navigation calculations are based in spherical
trigonometry. I prefer to use vectors for clarity, and power, avoiding
trigonometry ambiguity. You use complex analysis.
Interesting.
In my paper: "Vector equation of the circle of equal
altitude" some navigational problems are solved using vector calculus.
- Altitude and azimuth from assumed position and
geographic position
- Lunar distance
- Star - Star distance
- Great Circle Sailing
Indeed, vector calculus and quaternions are a particularization of
Tensor calculus.
Thanks for give us in advance your paper.
Regards,
Andrés Ruiz
Navigational Algorithms
http://sites.google.com/site/navigationalalgorithms/
-----Mensaje original-----
De:
Enviado el: jueves, 01 de octubre de 2009 13:01
Para: NavList@fer3.com
Asunto: [NavList 10015] Re: two-body computed fix. was: assumed
positions
A different method for the reduction of the 2-body fix, as well as
other classic problems in celestial navigation, appears in the attached paper
that is due to be published in Navigation (Journal of the Institute of
Navigation). By mapping points on the sphere to complex numbers by
stereographic projection, spherical trigonometry is reduced to plane
trigonometry and simple arithmetic operations on complex numbers,
Robin Stuart
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