Title :
The intersection of a Loxodrome with a great circle
Author_Institution :
TRW, Fairfax, VA, USA
fDate :
3/1/1990 12:00:00 AM
Abstract :
The intersections of a loxodrome (rhumb line) and a great circle are of interest for some navigational problems, but a closed-form solution cannot be formulated. An algorithm is given for computing approximations to any desired degree of accuracy using Newton´s method. By using the equatorial angle φ as an independent variable all solutions can be found rapidly using the modest computational capabilities of a personal computer
Keywords :
computerised navigation; iterative methods; microcomputer applications; Loxodrome; Newton´s method; algorithm; approximations; computerised navigation; equatorial angle; great circle; intersection; personal computer; rhumb line; Closed-form solution; Differential equations; Earth; Iterative methods; Microcomputers; Motion planning; Navigation; Spirals;
Journal_Title :
Aerospace and Electronic Systems, IEEE Transactions on
