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: Hints2Travellers 1883: graphical LD clearing?
    From: Frank Reed
    Date: 2022 Jun 6, 11:07 -0700

    Lars, I have read through your analysis three times. You may be onto something (or several somethings!), but I'm not convinced yet that you have an explanation for those odd constants. Could you possibly work up a couple of examples, maybe one where the correction is "additive" and another where the correction is "subtractive"? How would the work look in modern terms --without the use of the scale of chords? Does that eliminate the constants 53 and 62? I think you're on the right track that a factor 57.3 is required to use the scale of chords. That makes sense. But why bump it up and down by 8%?

    You wrote:
    "To summarize: D = D’ ± γ · HP + 0.08 · γ · HP. 
    The last term, 0.08 · γ · HP, is always positive and is an approximation of the “third” or “Q-“ correction given in Bowditch (1851) table XLVIII. "

    This is where I'm skeptical. The "third correction" listed in Bowditch T48 ("borrowed" from Thomson's tables) is, first of all, not the "Q" or "quadratic correction" alone. It's equivalent to two terms of the quadratic correction plus the refractions of both bodies, as projected onto the lunar arc. This is negligibly different from saying "everything else" --except the Moon's primary parallax correction. In general this third correction is not going to be proportional to the Moon's parallax correction even as a crude approximation. It's possible the original author of this graphical method had that in mind, but it does not appear to improve the clearing process.

    I would still contend that this proposed graphical method of clearing lunars was just a bad idea --an intriguing novelty in the long tail end of the history of lunars that was junked as soon as the letters to the editor started pouring in...

    Frank Reed

       
    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