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
    Coriolis Acceleration -- A general case
    From: David Pike
    Date: 2017 Dec 27, 02:13 -0800

    Coriolis acceleration is encountered whenever a body moves across the surface of a rotating platform.  Its value is 2Vω perpendicular to body’s motion relative to the platform, where V is the velocity of the body, and ω is the angular velocity of the platform.  In the case of bubble sextant fluid or pendulous graticule, V is the velocity of the aircraft carrying it, and ω is the Earth’s angular rotation.  Most derivations of 2Vω e.g. https://www.youtube.com/watch?v=hrIXgbbDB7M  are content to prove only the case of a body moving radially, i.e N-S in the case of the Earth, and the active mind is left wondering "What about E-W, or any other track between 001 and 360?".

    Fortunately, this is covered in Ch XVI, pages 300-307, Den Hartog, Mechanics, Dover Publications, 1948.  After proving the radial motion case, Den Hartog goes on to consider the concentric motion case (effectively E-W in the case of the Earth), and shows that Coriolis acceleration is also 2Vω.  Then, since any direction of motion on the Earth can be resolved into a radial and a concentric component, and their two acceleration components can be compounded again, 2Vω perpendicular to track must be the general case for any track between 001 and 360.  Whether this is a rhumb-line or great circle track doesn’t really come into the argument.  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