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: Parallax of Right Ascension and Parallax of Declination
    From: Geoffrey Kolbe
    Date: 2015 Nov 4, 14:39 +0000




    On Mon, Nov 2, 2015 at 9:52 PM, Dave Walden <NoReply_Walden@fer3.com> wrote:

    To first order, the earth is a sphere.  For a spheroid, in addition to the usual parallax in altitude, there is parallax in azimuth.

    For precise parallax in RA/Dec, this should be considered.


    ​Hmm. Correct me if I am wrong, but my understanding is that the purpose of a world-wide geodetic survey during the 1970s (particularly during the 1970s, but probably started before and certainly continued after) ​was to determine a map showing, for any point on the earth's surface, to what extent a gravitationally determined zenith axis (that is, an axis normal to a horizontal plane determined by a sensitive bubble level) did not pass through the centre of a spherical earth. 

    A geoid was then created which effectively adjusted the latitude and longitude of every point on the surface of the earth such that, to first order, these deviations of local gravity were corrected for. That geoid is WGS84. 

    If the latitudes and longitudes according to WGS84 are used for a given place on the earth, you should find that a vertical axis normal to the local gravitationally determined horizontal plane will pass through the centre of the geoid. If you then use a very accurate theodolite to observe a star passing through or close to your zenith, it should be where you expect it to be. The result is that any parallax in altitude should not have any accompanying parallax in azimuth.

    However, the WGS84 geoid is just an approximation, so there will still be small second order corrections that need to be applied to the local zenith axis such that it passes through the centre of the WGS84 geoid.

    In conclusion, it would probably be more accurate to say that to second order, the parallaxes of Right Ascension and Declination are the vector components of the parallax of altitude.

    Geoffrey Kolbe 


       
    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