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Choose your calculation: Rhumb line calculation: Departure position (latitude, longitude) + Course and Distance, to compute Arrival position; Departure position + Arrival position, to compute Course and Distance; Path of constant course between Departure position and Arrival position. Great Circle calculation
Short distance sailing is a term which is applied to sailing along a rhumb-line for distances less than 600 nautical miles. From the formulas derived above, the following are used extensively in short distance sailing: To Calculate Departure when the course is not known: dep.= d.long cos(mean lat)
Formulas, programs and calculations to obtain distance and course (bearing) - loxodromic distances (rhumb line) and orthodromic waypoints (great circle sailing) - orthodromic and loxodromic navigation calculator - two spreadsheet excel files - (free download and use!)
Using two different examples, this video shows how to calculate the course and distance between two positions; and how to calculate the position arrived if d...
Rhumb Line Sailing: Calculation. First loxodromic problem: Departure position P1 (φ1, λ1) to the arrival position of P2 (φ2, λ2). Unknown are the navigation course (Kl) and loxodromic distance (Dl). Δλ = (λ2 – λ1) – relative coordinate, the difference of longitudes. ΔφM = (φM2 – φM1) – relative coordinate, the difference of Mercator’s widths.
The formulas enable to solve the tasks with a use of electronic calculator and application of traditional methods on plane and sphere, and they also take the Earth’s ellipsoidal shape into consideration. Keywords: loxodrome (rhumb-line sailing), plane (or middle latitude) sailing, Mercator triangle (Mercator sailing) 1. Introduction
Proposals of algorithms for solving Navigation faculty’s problems regarding navigation along rhumb line (loxodrome), for officer trainees and civil students of Faculty of Navigation and Naval Weapons and for deck seamen on operational level, are presented in this paper.
