Welcome to the NavList Message Boards.

NavList:

A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding

Compose Your Message

Message:αβγ
Message:abc
Add Images & Files
    or...
       
    Reply
    Re: Calculate new coordinates given bearing and distance?
    From: David Pike
    Date: 2015 Nov 25, 12:05 -0800

    I think we need to define precisely what the problem is before coming up with any more solutions.  As I see it, the problem initially asked was if you start from A and steer a set course for a set distance where will you end up?  The method you might use to ascertain this really depends upon the latitude you start from, how far you intend to travel, your heading source, and if you’re using a chart, the map projection involved.  For example, close to the equator you hardly need to worry about the difference between a minute of longitude and eastings, because even at 10° latitude, secant10° = 1.015.  Close to the poles, longitude is almost unusable, because secant 85° = 11.474, so you need to employ ‘grid’ navigation.  Therefore, let’s assume we’re operating in temperate latitudes.    

    As Frank says, up to about 100 miles distance, it hardly matters which method you use, because such a small portion of the Globe equates very closely to a flat Earth.  Be careful with charts however.  With a Mercator’s chart, the bearing from B to A will be the bearing from A to B + - 180.  With a conical chart, it won’t be, because of the convergence of the meridians.  To measure the bearing from A to B, the practical navigator will measure the bearing at the mid-point of the line joining A to B.  Above 100nm distance, there might be some value in looking to spherical geometry or even elliptical geometry for a solution (spherical geometry makes my head ache; elliptical geometry makes it fall off!).  The result would be based upon great circles and would be a great result in the classroom, but could you actually fly one or sail one? 

    To follow a great circle (other than the Equator and the meridians) would require constant changes in true course because of the convergence of the meridians, so a GM compass in ‘True’ or Mag wouldn’t be much good.  A free running gyro monitored by astro might work (I think.  It’s a long time since I tried it, and only a couple of times), but that’s pretty complicated stuff.  Therefore, there’s not a lot of point getting into serious spherical geometry calculations if you’re actually going to follow a rhumb line over the ground.  What we actually relied upon were approximations to great circles consisting of a number of straight sections flown as rhumb lines on Mercator charts using a magnetically monitored gyro compass.  E.g. from UK to Goose Bay, Labrador we flew NW for a bit, west for a bit, then SW for a bit.  It also took us within radar fixing range of Rockall and the Southern Tip of Greenland, but that’s another story. 

    So to summarise, roughly what lat & long are these waypoints, how far apart are they, and if they are a long way apart, which heading source are you intending to steer by? DaveP

       
    Reply
    Browse Files

    Drop Files

    NavList

    What is NavList?

    Join NavList

    Name:
    (please, no nicknames or handles)
    Email:
    Do you want to receive all group messages by email?
    Yes No

    You can also join by posting. Your first on-topic post automatically makes you a member.

    Posting Code

    Enter the email address associated with your NavList messages. Your posting code will be emailed to you immediately.
    Email:

    Email Settings

    Posting Code:

    Custom Index

    Subject:
    Author:
    Start date: (yyyymm dd)
    End date: (yyyymm dd)

    Visit this site
    Visit this site
    Visit this site
    Visit this site
    Visit this site
    Visit this site