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navigation - What is a rhumb line? - Aviation Stack Exchange a rhumb line, rhumb, ( rʌm ) or loxodrome is an arc crossing all meridians of longitude at the same angle, that is, a path with constant bearing as measured relative to true or magnetic north From: Wikipedia If continued, all rhumb lines except the ones following a track of 90 or 270 degrees end up in either the North or South Pole
Is it possible to fly to any destination on a rhumb line track? To simplify navigation, they split a great circle route into segments, and navigated each segment as a rhumb line, that is a route within the same rhumb, a rhumb being 1 32th of compass rose (a 32-point rose was often part of the map) They adjusted the heading only at the beginning of the next segment, possibly after they confirmed their
geometry - On a sphere, does a rhumb line always exist between two . . . What you're describing is a rhumb line, also called a loxodrome or a path of constant heading, namely, a path on the earth's surface such that the angle between the direction of travel and the meridian (longitude line) is constant You can produce equations for a rhumb line by parameterizing the sphere and imposing the constant-angle condition
Calculate position of point along Rhumb line given the distance from . . . The Rhumb line between two points using the Mercator projection looks like this: My goal would be to find the mathematical formula to identify the coordinates of a generic point along the Rhumb line by knowing the distance from the point of origin (or of destination)
Are rhumb lines ever used as leg paths for RNP RNAV? No The FMS does not use rhumb lines All RNP RNAV flight path legs are geodesics The only exceptions are RF legs (a constant radius circular path about a turn center) and hold legs (a closed racetrack pattern) To quote RTCA DO-236C, Minimum Aviation System Performance Standards: Required Navigation Performance for Area Navigation:
3d - Is two distinct rhumb lines with the same bearing on a perfect . . . (Note: A rhumb line, or loxodrome, is a “line” crossing all meridians at the same angle, i e a path of constant bearing It is obviously easier to manually steer than the constantly changing heading of the shorter great circle route
why is rhumb line bearing for this question 270 as the answer? An aircraft leaves position "G" in lat 40 degree South and flies the following Rhumb Line tracks and distances: G to H : 180 (true) 240 NM H to J : 270 (true) 240 NM J to K : 000 (true) 240 NM what is the rhumb line bearing from G to K ?? According to me answer should be 090 but it is given as 270 can someone please give the reason for the same
What rhumb lines of a torus are periodic $C^1$ curves? For the rhumb line to make a constant angle $\alpha \ne 0$ with the meridian circles (i e the lines for fixed $\phi$), one can read off from above metric following condition for the rhumb line $$\frac{b d\theta}{(a + b\cos\phi) d\phi} = \cot\alpha\tag{*1}$$ When one walks along a rhumb line and complete one cycle in the $\theta$ direction
On nonintersecting loxodromes - Mathematics Stack Exchange The (spherical) loxodrome, or the rhumb line, is the curve of constant bearing on the sphere; that is, it is the spherical curve that cuts the meridians of the sphere at a constant angle A more picturesque way of putting it is that if one wants to travel from one point of a (spherical) globe to the antipodal point (say, from the North Pole to
How does QDM from a VDF station account for great circle vs rhumb line . . . You're right on the principle, if you want to fly at constant heading, you need to get the bearing computed for a rhumb line (loxodrome) assumption Source The VDF measures the bearing according to the direction of arrival of the wave from the aircraft transmitter via the shortest path, hence this QDR angle, converted into a QDM, is the one