Welcome to the NavList Message Boards.


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

Compose Your Message

Add Images & Files
    Resolution of systematic error
    From: Peter Fogg
    Date: 2007 Mar 1, 10:45 +1100

    There is a method for the resolution of systematic error that I understand was first proposed by the German geodesist Lehmann.

    In the example below, the lines represent portions of position lines (aka LOPs). The arrows point towards the sub-stellar point or, to put that another way, indicate the direction of the azimuth.


    The arrows should, of course, form a right angle with the position line. This drafting inaccuracy is not important for our purposes; the arrows just indicate direction. The small circle indicates (again; roughly) the fix position.

     If all arrows point in the same direction (all pointing out or all pointing in) it means the azimuths used cover an arc of less than 180 degrees. This is less than ideal, and one reason is that if there is any systematic error the actual position will lie outside the triangle.

    Lehmann (as have others since) proposed a simple method for establishing a position that has a higher probability of being correct.

    Shadow (dotted) lines are drawn towards the direction indicated, parallel to and at the same distance from the position lines.

    Then lines are drawn that pass through the intersecting position lines and the intersecting shadow position lines.

    These blue lines meet at a common point: the centre of a circle whose radius, touching the original position lines, indicates the extent of the systematic error.

    Note that the distance of the shadow lines from the position lines is not relevant, although this distance must be consistent and the shadow lines must be parallel with the lines they are derived from (again, this freehand diagram is a little crude – try drawing it as accurately as possible on graph paper to check whether it works).

    The point of intersection of the blue lines is the improved fix position. With systematic error and azimuths that cover less than 180 degrees the actual position will ALWAYS lie outside the triangle.


    To post to this group, send email to NavList@fer3.com
    To unsubscribe, send email to NavList-unsubscribe@fer3.com




    Browse Files

    Drop Files


    What is NavList?

    Join NavList

    (please, no nicknames or handles)
    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 Settings

    Posting Code:

    Custom Index

    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