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
    Name or NavList Code:
    Re: Please help me with the math Re: learning sight reduction
    From: Bill B
    Date: 2006 May 4, 00:15 -0500

    Guy wrote:

    > OK so here is the formula I have sin
    > (Hc)=sin(dec)sin(lat)+cos(dec)cos(lat)cos(dlo)
    > question 1 is dlo the same as LHA? if not what is dlo?

    Not certain.  I think of dlo as the smallest angle (absolute value) that
    expresses the difference between two longitudes.

    LHA is the angle measured WESTWARD from the observer's position to the body
    (GHA).  If the body is west of the observed, that will be the same as dlo.
    If the body is east of the observer, you will have to go all the way around
    to get to the observer.


    AP lon 80d W
    Body GHA (lon) 60d W
    dlo = 60 - 80 = |-20| = 20
    LHA = 60 - 80 = -20 = 340

    > question 2 is this formula telling me to mutiply sin(dec) by sin(lat) and
    > then add it to multiplication of cos(dec) by cos(lat) by cos(dlo)

    Yes.  sin Hc = (sin dec * sin lat) + (cos dec* cos lat * by cos LHA)

    Order of operations:  Please excuse my dear aunt Sally.  PEMDAS

    P parenthesis
    E exponents
    M multiplication
    D division
    A addition
    S subtraction

    Do anything within the () first, as ordered above.

    No.  You need LHA, not dlo

    NOTE:  If you are careful to always subtract AP from GHA, most calculators
    will not mind if you feed it -20 instead of +340 as LHA.

    > question 3 if my methodlogy of question 2 is correct, then how do I get the
    > result back to degrees and minutes for the answer Hc?

    Sine of the equation to the right of = is your answer in decimal degrees.
    Read the manual, do what it says to convert decimal degrees to ddd/mm/ss.

    > question 4 what is the difference in accuracy of HO 240 Vs Ho229 Vs
    > calculator?

    Your almanac explanation section will give you the range and probability of
    error for daily data.  Using almanac tables for dip, refraction, time-to-arc
    etc., could shift you an additional 0.1', maybe 0.2' worst case.

    229 table errors for figuring d, v, d (adjustment to tabular Hc) and Z might
    be another 0.1' to 0.2" (rarely) over calculator. Most of the time these
    rounding errors will pretty well cancel out or be smaller than sextant
    accuracy (+/- 0.15 to 0.3') and operator/refraction/dip errors on the water.

    NOTE:  The calculator carries a lot of digits past the decimal point, that
    in theory are not significant digits anyway given the input.

    NOTE:  If you really want to be picky, find a v factor for the sun by taking
    the GHA difference for 24 or 48 hours and dividing by 24 or 48 and adding or
    subtracting from 15 (sun) to get a real angular speed.  Won't matter much at
    the 10-minutes-past the-hour mark, but can shift you 0.1' at the 40-50
    minute mark.

    I think 249 tables (solving the spherical triangle etc.) are less accurate
    than 229, but cannot speak to that from experience.  249 table books are
    smaller, but have limits on the stars you can use.

    Of any help?


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

    Browse Files

    Drop Files


    What is NavList?

    Get a NavList ID Code

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

    A NavList ID Code guarantees your identity in NavList posts and allows faster posting of messages.

    Retrieve a NavList ID Code

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

    Email Settings

    NavList ID 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