<html xmlns:v="urn:schemas-microsoft-com:vml" xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:w="urn:schemas-microsoft-com:office:word" xmlns:m="http://schemas.microsoft.com/office/2004/12/omml" xmlns="http://www.w3.org/TR/REC-html40">
<head>
<meta http-equiv="Content-Type" content="text/html; charset=utf-8">
<meta name="Generator" content="Microsoft Word 14 (filtered medium)">
<style><!--
/* Font Definitions */
@font-face
        {font-family:Courier;
        panose-1:2 7 4 9 2 2 5 2 4 4;}
@font-face
        {font-family:Courier;
        panose-1:2 7 4 9 2 2 5 2 4 4;}
@font-face
        {font-family:Calibri;
        panose-1:2 15 5 2 2 2 4 3 2 4;}
@font-face
        {font-family:Tahoma;
        panose-1:2 11 6 4 3 5 4 4 2 4;}
@font-face
        {font-family:Garamond;
        panose-1:2 2 4 4 3 3 1 1 8 3;}
/* Style Definitions */
p.MsoNormal, li.MsoNormal, div.MsoNormal
        {margin:0cm;
        margin-bottom:.0001pt;
        font-size:11.0pt;
        font-family:"Calibri","sans-serif";}
a:link, span.MsoHyperlink
        {mso-style-priority:99;
        color:#0563C1;
        text-decoration:underline;}
a:visited, span.MsoHyperlinkFollowed
        {mso-style-priority:99;
        color:#954F72;
        text-decoration:underline;}
p.msonormal0, li.msonormal0, div.msonormal0
        {mso-style-name:msonormal;
        mso-margin-top-alt:auto;
        margin-right:0cm;
        mso-margin-bottom-alt:auto;
        margin-left:0cm;
        font-size:11.0pt;
        font-family:"Calibri","sans-serif";}
span.EmailStyle18
        {mso-style-type:personal;
        font-family:"Calibri","sans-serif";
        color:windowtext;}
span.EmailStyle19
        {mso-style-type:personal;
        font-family:Courier;
        color:windowtext;}
span.EmailStyle20
        {mso-style-type:personal;
        font-family:"Calibri","sans-serif";
        color:#1F497D;}
span.EmailStyle21
        {mso-style-type:personal;
        font-family:"Calibri","sans-serif";
        color:windowtext;}
span.EmailStyle22
        {mso-style-type:personal-reply;
        font-family:"Calibri","sans-serif";
        color:#1F497D;}
.MsoChpDefault
        {mso-style-type:export-only;
        font-size:10.0pt;}
@page WordSection1
        {size:612.0pt 792.0pt;
        margin:70.85pt 70.85pt 70.85pt 70.85pt;}
div.WordSection1
        {page:WordSection1;}
--></style><!--[if gte mso 9]><xml>
<o:shapedefaults v:ext="edit" spidmax="1026" />
</xml><![endif]--><!--[if gte mso 9]><xml>
<o:shapelayout v:ext="edit">
<o:idmap v:ext="edit" data="1" />
</o:shapelayout></xml><![endif]-->
</head>
<body lang="EN-GB" link="#0563C1" vlink="#954F72">
<div class="WordSection1">
<p class="MsoNormal"><span style="color:#1F497D">Hi Dan<o:p></o:p></span></p>
<p class="MsoNormal"><span style="color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="color:#1F497D">Regarding “ONSTATION” elements it seems our documentation is a little inconsistent and they are also referred to as “Adapted (or non-singular) orbit elements” for which there appears to be many definitions depending
 on their use, our definition is as follows:<o:p></o:p></span></p>
<p class="MsoNormal"><span style="color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal" style="margin-left:36.0pt;text-autospace:none"><b><span style="font-size:11.5pt;font-family:"Garamond","serif"">Adapted (or non singular) orbit parameters<o:p></o:p></span></b></p>
<p class="MsoNormal" style="margin-left:36.0pt;text-autospace:none"><span style="font-size:11.5pt;font-family:"Times New Roman","serif"">a                                 
</span><span style="font-size:11.5pt;font-family:"Garamond","serif"">semi-major axis (km)<o:p></o:p></span></p>
<p class="MsoNormal" style="margin-left:36.0pt;text-autospace:none"><span lang="FR" style="font-size:11.5pt;font-family:"Times New Roman","serif"">ex = e cos(</span><span style="font-size:11.5pt;font-family:Symbol">w
</span><span lang="FR" style="font-size:11.5pt;font-family:"Times New Roman","serif"">+
</span><span style="font-size:11.5pt;font-family:Symbol">W</span><span lang="FR" style="font-size:11.5pt;font-family:"Times New Roman","serif"">)       
</span><span lang="FR" style="font-size:11.5pt;font-family:"Garamond","serif"">eccentricity vector<o:p></o:p></span></p>
<p class="MsoNormal" style="margin-left:36.0pt;text-autospace:none"><span style="font-size:11.5pt;font-family:"Times New Roman","serif"">ey = e sin(</span><span style="font-size:11.5pt;font-family:Symbol">w
</span><span style="font-size:11.5pt;font-family:"Times New Roman","serif"">+ </span>
<span style="font-size:11.5pt;font-family:Symbol">W</span><span style="font-size:11.5pt;font-family:"Times New Roman","serif"">)<o:p></o:p></span></p>
<p class="MsoNormal" style="margin-left:36.0pt;text-autospace:none"><span style="font-size:11.5pt;font-family:"Times New Roman","serif"">ix = sin i cos(</span><span style="font-size:11.5pt;font-family:Symbol">W</span><span style="font-size:11.5pt;font-family:"Times New Roman","serif"">)
           </span><span style="font-size:11.5pt;font-family:"Garamond","serif"">inclination vector<o:p></o:p></span></p>
<p class="MsoNormal" style="margin-left:36.0pt;text-autospace:none"><span style="font-size:11.5pt;font-family:"Times New Roman","serif"">iy = sin i sin(</span><span style="font-size:11.5pt;font-family:Symbol">W</span><span style="font-size:11.5pt;font-family:"Times New Roman","serif"">)<o:p></o:p></span></p>
<p class="MsoNormal" style="margin-left:36.0pt;text-autospace:none"><span style="font-size:11.5pt;font-family:Symbol">l</span><span style="font-size:11.5pt;font-family:"Times New Roman","serif""> =
</span><span style="font-size:11.5pt;font-family:Symbol">w </span><span style="font-size:11.5pt;font-family:"Times New Roman","serif"">+
</span><span style="font-size:11.5pt;font-family:Symbol">W </span><span style="font-size:11.5pt;font-family:"Times New Roman","serif"">+ M -
</span><span style="font-size:11.5pt;font-family:Symbol">q </span><b><span style="font-size:11.5pt;font-family:"Times New Roman","serif"">or</span></b><span style="font-size:11.5pt;font-family:Symbol"> w
</span><span style="font-size:11.5pt;font-family:"Times New Roman","serif"">+ </span>
<span style="font-size:11.5pt;font-family:Symbol">W </span><span style="font-size:11.5pt;font-family:"Times New Roman","serif"">+ v -
</span><span style="font-size:11.5pt;font-family:Symbol">q      </span><span style="font-size:11.5pt;font-family:"Garamond","serif"">mean
<b>or </b>true longitude (deg)<o:p></o:p></span></p>
<p class="MsoNormal" style="margin-left:36.0pt;text-autospace:none"><span style="font-size:11.5pt;font-family:Symbol">q
</span><span style="font-size:11.5pt;font-family:"Garamond","serif"">is the sidereal time</span><span style="font-size:11.5pt;font-family:"Times New Roman","serif"">.<o:p></o:p></span></p>
<p class="MsoNormal" style="margin-left:36.0pt"><span style="font-size:11.5pt;font-family:"Garamond","serif"">For small values of inclination, ix & iy can be considered as angles and displayed in degrees.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.5pt;font-family:"Garamond","serif""><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="color:#1F497D">Best Regards<o:p></o:p></span></p>
<p class="MsoNormal"><span style="color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="color:#1F497D">Brian<o:p></o:p></span></p>
<p class="MsoNormal"><span style="color:#1F497D"><o:p> </o:p></span></p>
<div>
<div style="border:none;border-top:solid #B5C4DF 1.0pt;padding:3.0pt 0cm 0cm 0cm">
<p class="MsoNormal"><b><span lang="EN-US" style="font-size:10.0pt;font-family:"Tahoma","sans-serif"">From:</span></b><span lang="EN-US" style="font-size:10.0pt;font-family:"Tahoma","sans-serif""> MOIMS-NAV-EXEC [mailto:moims-nav-exec-bounces@mailman.ccsds.org]
<b>On Behalf Of </b>Oltrogge, Daniel<br>
<b>Sent:</b> 20 February 2018 22:45<br>
<b>To:</b> Berry, David S (3920); moims-nav-exec@mailman.ccsds.org<br>
<b>Subject:</b> [MOIMS-NAV-EXEC] Draft update to Time scales, reference frames, element sets content<o:p></o:p></span></p>
</div>
</div>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal"><a name="_MailEndCompose"><span lang="EN-US" style="color:#1F497D">All –
<o:p></o:p></span></a></p>
<p class="MsoNormal"><span lang="EN-US" style="color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:#1F497D">Thanks to additional help from Vallado and Patrick, we’ve continued to evolve the draft SANA content.<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:#1F497D">“Track Changes” has been enabled so that you can see the proposed modifications.<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:#1F497D">Brian Swinburne – Note that per your request (I didn’t forget!), I’ve added “ONSTATION” elements.  But I believe that there may be several such definitions.  Please research the specific version
 that you are using and provide me with a detailed description that we can replace my draft (placeholder) text with.<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:#1F497D">David, with the exception of this replacement text from Brian, I believe that this document version may be ready for all to review to ensure that it meets the needs of the organizations that each
 of us represent.<o:p></o:p></span></p>
<div>
<p class="MsoNormal"><span lang="EN-US" style="color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:#1F497D">Dan<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:#1F497D">Daniel L. Oltrogge<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:#1F497D">Director, Center for Space Standards and Innovation<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:#1F497D">Analytical Graphics, Incorporated<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="FR" style="color:#1F497D">Voice: 719-482-4552   </span>
<span lang="EN-US" style="font-size:13.5pt;color:#1F497D">҉</span><span lang="FR" style="color:#1F497D">   E-mail:
</span><a href="mailto:oltrogge@agi.com"><span lang="FR">oltrogge@agi.com</span></a><span lang="FR" style="color:#1F497D"><o:p></o:p></span></p>
</div>
<p class="MsoNormal"><span lang="FR" style="color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="FR"><o:p> </o:p></span></p>
</div>

<p>**********************************************************************</p><p> </p><p>This email is for the intended addressee only. The content of this email may
be subject to UK Export Control Act (ECA) 2002 regulations. If you received it
in error, or as an export, then you must not use, misuse, retain, disseminate
or otherwise deal with it. Please notify the sender by return of e-mail. The
views of the author may not necessarily constitute the views of Airbus Defence
and Space. Nothing in this e-mail shall bind Airbus Defence and Space in any
contract or obligation.<o:p /></p><p> </p><p>Airbus Defence and Space Limited, registered in England and Wales No.
02449259. Registered office: Gunnels Wood Road, Stevenage, Hertfordshire, SG1
2AS, England.<o:p /></p><p> </p><p>**********************************************************************</p>


</body>
</html>