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: Navigational Algorithms - 3 COPs analytical solution
    From: djamel ait amrane
    Date: 2006 Oct 20, 18:11 -0700

    Salut,
    
    You can see a nav.c program, it is an matrix approach to resolve the
    sight by direct computation.
    Algorithms are from Thomas R. METCALF implemented in C language.
    
         Djamel AIT AMRANE
    
    Andres Ruiz wrote:
    > [NavList 1437] Re: Navigator's Newsletter, and other forums.
    > From: jrvz---net
    > Date: 17 Oct 2006 22:45
    >
    > ...
    > (It does require inverting 3x3 matrices, so it's not well suited to
    > hand calculation.)
    > If someone remembers seeing something like this, I would appreciate a
    > reference.  Otherwise I'll write it up in more detail.
    >
    > ---------------------------------------------------------
    >
    >
    >
    >
    >
    > Now I am writing some articles to be published on my web page under the name Navigational Algorithms.
    >
    > The draft of one about circles of position is:
    >
    >
    >
    >
    > 3 COPs analytical solution
    >
    >
    >
    >
    > Input data: 3 observations
    >
    >
    >
    > K
    >
    > Body
    >
    > Ho
    >
    > GHA
    >
    > Dec
    >
    > 1
    >
    > Body1
    >
    > Ho1
    >
    > GHA1
    >
    > Dec1
    >
    > 2
    >
    > Body2
    >
    > Ho2
    >
    > GHA2
    >
    > Dec2
    >
    > 3
    >
    > Body3
    >
    > Ho3
    >
    > GHA3
    >
    > Dec3
    >
    >
    >
    >
    >
    >
    >
    > Fix: BF LF
    >
    >
    >
    >
    >
    >
    >
    > Manual Solution
    >
    >
    >
    >
    >
    >
    >
    >
    >
    >
    >
    >
    >
    >
    > M3 = x1*y2*z3+y1*z2*x3+z1*x2*y3-(z1*y2*x3+x1*z2*y3+y1*x2*z3)
    >
    >
    >
    > Mx = y2*z3+y1*z2+y3*z1-(y2*z1+y1*z3+y3*z2)
    >
    > My = z2*x3+z1*x2+z3*x1-(z2*x1+z1*x3+z3*x2)
    >
    > Mz = x2*y3+x1*y2+x3*y1-(x2*y1+x1*y3+x3*y2)
    >
    >
    >
    >
    >
    >
    > Example by hand
    >
    >
    >
    >
    > K
    >
    > Body
    >
    > Ho
    >
    > GHA
    >
    > Dec
    >
    > 1
    >
    > Arcturus
    >
    > 22.2
    >
    > 166.829
    >
    > 19.335
    >
    > 2
    >
    > Vega
    >
    > 70.15
    >
    > 115.277
    >
    > 38.758
    >
    > 3
    >
    > Dubhe
    >
    > 20.35
    >
    > 226.98
    >
    > 61.909
    >
    >
    >
    >
    >
    > | -2.432  0.569  0.876 | | 0.006|   | 1 |
    >
    > | -0.354  0.750  0.666 | | 0.731| = | 1 |
    >
    > | -0.924 -0.990  2.537 | | 0.682|   | 1 |
    >
    >
    >
    > B [0-90][+N/-S]
    >
    > L [0-360][+ W->E]
    >
    >
    >
    > Fix(42.982085093299339, 89.566484629127913)
    >
    >
    >
    >
    >
    > This method work only for one point of intersection. Otherwise a least 
    squares method must be used to find the most probable celestial position.
    >
    >
    >
    > Help:
    >
    > I am looking for some information about sight reduction with matrices, I have find two articles:
    >
    >
    >
    > Dewit, C., "Some Remarks on Sight Reduction with Matrices," Navigation: J. 
    Inst. Naviga., Vol. 26, No. 3, pp. 252-253 (1979).
    >
    > Watkins. R. and Janiczek. P. M., Sight Reduction with Matrices, NAVIGATION, 
    Journal of The Institute of Navigation, Vol. 25, No. 4, Winter 1978-79, pp. 
    447-48.
    >
    >
    >
    > if someone could send me some copies or additional information by e-mail, I,ll be very thankful.
    >
    >
    >
    > Andr�s
    >
    > http://www.geocities.com/andresruizgonzalez
    >
    >
    >
    >
    > ------_=_NextPart_002_01C6F29C.75CAF27F
    > Content-Type: text/html; charset=iso-8859-1
    > Content-Transfer-Encoding: quoted-printable
    > X-Google-AttachSize: 24915
    >
    > 
    >
    > 
    > 
    > 
    >
    > 
    >
    > 
    >
    > 
    >
    > 
    > >

    style='font-size:10.0pt;font-family:"Courier New"'>[NavList 1437] Re: > Navigator's Newsletter, and other forums.
    > From: jrvz---net
    > Date: 17 Oct 2006 22:45

    > >
     size=2 face="Courier New">(It does 
    require inverting 3x3 matrices, so it's not well suited 
    to
     size=2 face="Courier New">hand 
    calculation.)
     size=2 face="Courier New">If 
    someone remembers seeing something like this, I would appreciate 
    a
     size=2 face="Courier New">reference.  Otherwise I'll write it up in more 
    detail.
    > >

    ---------------------------------------------------------

    > >

    size=2 color=navy face=Arial>

    > >

    size=2 color=navy face=Arial>

    > >

    size=2 face=Arial>Now > I am writing some articles to be published on my web page under the name style='font-weight:bold;font-style:italic'>Navigational Algorithms.

    > >

    size=2 face=Arial>The > draft of one about circles of position is:

    > >

    > >
    > >

    3 COPs > analytical solution

    > >
    > >

    > >

    Input data: 3 observations

    > >

    > > style='border-collapse:collapse'> > > > > > > > > > > > > > > > > > > > > > > > > > > > > >
    >

    face=Arial>K

    >
    >

    face=Arial>Body

    >
    >

    face=Arial>Ho

    >
    >

    face=Arial>GHA

    >
    >

    face=Arial>Dec

    >
    >

    1

    >
    >

    face=Arial>Body1

    >
    >

    face=Arial>Ho1

    >
    >

    face=Arial>GHA1

    >
    >

    face=Arial>Dec1

    >
    >

    2

    >
    >

    face=Arial>Body2

    >
    >

    face=Arial>Ho2

    >
    >

    face=Arial>GHA2

    >
    >

    face=Arial>Dec2

    >
    >

    3

    >
    >

    face=Arial>Body3

    >
    >

    face=Arial>Ho3

    >
    >

    face=Arial>GHA3

    >
    >

    face=Arial>Dec3

    >
    > >

    src="http://fer3.com/arc/feed.aspx?m2=1&cid=img/101449.image001-jpg-01C6F2AA-04F86E70">

    > >

    > >

    > >

    Fix: BF LF

    > >

    > >
    > >

    > >

    Manual > Solution

    > >
    > >

    > > style='border-collapse:collapse'> > > > > >
    >

    src="http://fer3.com/arc/feed.aspx?m2=1&cid=img/101449.image010-gif-01C6F2A9-46607840">

    >
    >

    src="http://fer3.com/arc/feed.aspx?m2=1&cid=img/101449.image012-gif-01C6F2A9-46607840">

    >
    > >

    > >

    style='font-size:12.0pt;font-family:"Courier New";color:navy'>

    > >

    > >

    M3 = > x1*y2*z3+y1*z2*x3+z1*x2*y3-(z1*y2*x3+x1*z2*y3+y1*x2*z3)

    > >

    > >

    Mx = y2*z3+y1*z2+y3*z1-(y2*z1+y1*z3+y3*z2)

    > >

    style='font-size:12.0pt;font-family:"Courier New"'>My = > z2*x3+z1*x2+z3*x1-(z2*x1+z1*x3+z3*x2)

    > >

    Mz = x2*y3+x1*y2+x3*y1-(x2*y1+x1*y3+x3*y2)

    > >

    > >
    clear=all style='page-break-before:always'> >
    > >

    style='font-size:16.0pt'>Example by hand

    > >

    > > style='border-collapse:collapse'> > > > > > > > > > > > > > > > > > > > > > > > > > > > > >
    >

    face=Arial>K

    >
    >

    face=Arial>Body

    >
    >

    face=Arial>Ho

    >
    >

    face=Arial>GHA

    >
    >

    face=Arial>Dec

    >
    >

    1

    >
    >

    Arcturus

    >
    >

    face=Arial>22.2

    >
    >

    face=Arial>166.829

    >
    >

    face=Arial>19.335

    >
    >

    2

    >
    >

    Vega

    >
    >

    face=Arial>70.15

    >
    >

    face=Arial>115.277

    >
    >

    face=Arial>38.758

    >
    >

    3

    >
    >

    Dubhe

    >
    >

    face=Arial>20.35

    >
    >

    face=Arial>226.98

    >
    >

    face=Arial>61.909

    >
    > >

    > >

    style='font-size:12.0pt;font-family:"Courier New"'>

    > >

    style='font-size:12.0pt;font-family:"Courier New"'>| -2.432 0.569 > 0.876 | | 0.006| | 1 |

    > >

    style='font-size:12.0pt;font-family:"Courier New"'>| -0.354 0.750 > 0.666 | | 0.731| = | 1 |

    > >

    style='font-size:12.0pt;font-family:"Courier New"'>| -0.924 -0.990 2.537 > | | 0.682| | 1 |

    > >

    > >

    B [0-90][+N/-S]

    > >

    L [0-360][+ W->E]

    > >

    > >

    Fix(42.982085093299339, 89.566484629127913)

    > >

    > >

    > >

    This method work only for one point of intersection. > Otherwise a least squares method must be used to find the most probable > celestial position.

    > >

    > >

    Help:

    > >

    I am looking for some information about sight reduction > with matrices, I have find two articles:

    > >

    > >

    Dewit, C., “Some Remarks on Sight Reduction > with Matrices,” Navigation: J. Inst. Naviga., Vol. 26, No. 3, pp. 252-253 > (1979).

    > >

    Watkins. R. and Janiczek. P. M., Sight Reduction with > Matrices, NAVIGATION, Journal of The Institute of Navigation, Vol. 25, No. 4, > Winter 1978-79, pp. 447-48.

    > >

    > >

    if someone could send me some copies or additional > information by e-mail, I,ll be very thankful.

    > >

    > >

    Andr�s

    > >

    http://www.geocities.com/andresruizgonzalez

    > >

    > >
    > > > > > > ------_=_NextPart_002_01C6F29C.75CAF27F-- --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to NavList@fer3.com To unsubscribe, send email to NavList-unsubscribe@fer3.com -~----------~----~----~----~------~----~------~--~---

       
    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