<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:x="urn:schemas-microsoft-com:office:excel" xmlns:p="urn:schemas-microsoft-com:office:powerpoint" xmlns:a="urn:schemas-microsoft-com:office:access" xmlns:dt="uuid:C2F41010-65B3-11d1-A29F-00AA00C14882" xmlns:s="uuid:BDC6E3F0-6DA3-11d1-A2A3-00AA00C14882" xmlns:rs="urn:schemas-microsoft-com:rowset" xmlns:z="#RowsetSchema" xmlns:b="urn:schemas-microsoft-com:office:publisher" xmlns:ss="urn:schemas-microsoft-com:office:spreadsheet" xmlns:c="urn:schemas-microsoft-com:office:component:spreadsheet" xmlns:odc="urn:schemas-microsoft-com:office:odc" xmlns:oa="urn:schemas-microsoft-com:office:activation" xmlns:html="http://www.w3.org/TR/REC-html40" xmlns:q="http://schemas.xmlsoap.org/soap/envelope/" xmlns:rtc="http://microsoft.com/officenet/conferencing" xmlns:D="DAV:" xmlns:Repl="http://schemas.microsoft.com/repl/" xmlns:mt="http://schemas.microsoft.com/sharepoint/soap/meetings/" xmlns:x2="http://schemas.microsoft.com/office/excel/2003/xml" xmlns:ppda="http://www.passport.com/NameSpace.xsd" xmlns:ois="http://schemas.microsoft.com/sharepoint/soap/ois/" xmlns:dir="http://schemas.microsoft.com/sharepoint/soap/directory/" xmlns:ds="http://www.w3.org/2000/09/xmldsig#" xmlns:dsp="http://schemas.microsoft.com/sharepoint/dsp" xmlns:udc="http://schemas.microsoft.com/data/udc" xmlns:xsd="http://www.w3.org/2001/XMLSchema" xmlns:sub="http://schemas.microsoft.com/sharepoint/soap/2002/1/alerts/" xmlns:ec="http://www.w3.org/2001/04/xmlenc#" xmlns:sp="http://schemas.microsoft.com/sharepoint/" xmlns:sps="http://schemas.microsoft.com/sharepoint/soap/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:udcs="http://schemas.microsoft.com/data/udc/soap" xmlns:udcxf="http://schemas.microsoft.com/data/udc/xmlfile" xmlns:udcp2p="http://schemas.microsoft.com/data/udc/parttopart" xmlns:wf="http://schemas.microsoft.com/sharepoint/soap/workflow/" xmlns:dsss="http://schemas.microsoft.com/office/2006/digsig-setup" xmlns:dssi="http://schemas.microsoft.com/office/2006/digsig" xmlns:mdssi="http://schemas.openxmlformats.org/package/2006/digital-signature" xmlns:mver="http://schemas.openxmlformats.org/markup-compatibility/2006" xmlns:m="http://schemas.microsoft.com/office/2004/12/omml" xmlns:mrels="http://schemas.openxmlformats.org/package/2006/relationships" xmlns:spwp="http://microsoft.com/sharepoint/webpartpages" xmlns:ex12t="http://schemas.microsoft.com/exchange/services/2006/types" xmlns:ex12m="http://schemas.microsoft.com/exchange/services/2006/messages" xmlns:pptsl="http://schemas.microsoft.com/sharepoint/soap/SlideLibrary/" xmlns:spsl="http://microsoft.com/webservices/SharePointPortalServer/PublishedLinksService" xmlns:Z="urn:schemas-microsoft-com:" xmlns:st="&#1;" xmlns="http://www.w3.org/TR/REC-html40">
<head>
<meta http-equiv="Content-Type" content="text/html; charset=us-ascii">
<meta name="Generator" content="Microsoft Word 12 (filtered medium)">
<style>
<!--
 /* Font Definitions */
 @font-face
        {font-family:"Cambria Math";
        panose-1:2 4 5 3 5 4 6 3 2 4;}
@font-face
        {font-family:Calibri;
        panose-1:2 15 5 2 2 2 4 3 2 4;}
 /* Style Definitions */
 p.MsoNormal, li.MsoNormal, div.MsoNormal
        {margin:0in;
        margin-bottom:.0001pt;
        font-size:11.0pt;
        font-family:"Calibri","sans-serif";}
a:link, span.MsoHyperlink
        {mso-style-priority:99;
        color:blue;
        text-decoration:underline;}
a:visited, span.MsoHyperlinkFollowed
        {mso-style-priority:99;
        color:purple;
        text-decoration:underline;}
span.EmailStyle17
        {mso-style-type:personal-compose;
        font-family:"Arial","sans-serif";
        color:black;
        font-weight:normal;
        font-style:normal;}
.MsoChpDefault
        {mso-style-type:export-only;}
@page Section1
        {size:8.5in 11.0in;
        margin:1.0in 1.0in 1.0in 1.0in;}
div.Section1
        {page:Section1;}
-->
</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-US" link="blue" vlink="purple">
<div class="Section1">
<p class="MsoNormal"><span style="font-size:10.0pt;font-family:&quot;Arial&quot;,&quot;sans-serif&quot;;
color:black">Frank and the List,<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:10.0pt;font-family:&quot;Arial&quot;,&quot;sans-serif&quot;;
color:black"><o:p>&nbsp;</o:p></span></p>
<p class="MsoNormal"><span style="font-size:10.0pt;font-family:&quot;Arial&quot;,&quot;sans-serif&quot;;
color:black">I have a geodetic problem I hope GDAL/OGR can solve.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:10.0pt;font-family:&quot;Arial&quot;,&quot;sans-serif&quot;;
color:black"><o:p>&nbsp;</o:p></span></p>
<p class="MsoNormal"><span style="font-size:10.0pt;font-family:&quot;Arial&quot;,&quot;sans-serif&quot;;
color:black">The setup:<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:10.0pt;font-family:&quot;Arial&quot;,&quot;sans-serif&quot;;
color:black"><o:p>&nbsp;</o:p></span></p>
<p class="MsoNormal"><span style="font-size:10.0pt;font-family:&quot;Arial&quot;,&quot;sans-serif&quot;;
color:black">I have two radio towers each the same height and at the same elevation being 10,000 meters apart.&nbsp; I know the latitude and longitude of the first tower and those
 coordinates reference WGS84 (though they could be any geographic CRS, NAD27, NAD83, etc.).&nbsp; I also now the baring to the second from the first measured from true north at the first tower.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:10.0pt;font-family:&quot;Arial&quot;,&quot;sans-serif&quot;;
color:black"><o:p>&nbsp;</o:p></span></p>
<p class="MsoNormal"><span style="font-size:10.0pt;font-family:&quot;Arial&quot;,&quot;sans-serif&quot;;
color:black">The problem:<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:10.0pt;font-family:&quot;Arial&quot;,&quot;sans-serif&quot;;
color:black"><o:p>&nbsp;</o:p></span></p>
<p class="MsoNormal"><span style="font-size:10.0pt;font-family:&quot;Arial&quot;,&quot;sans-serif&quot;;
color:black">Given the above information and using the prebuilt tools, GDAL/OGR utilities, what workflow would one use to calculate the latitude and longitude of the second
 tower?<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:10.0pt;font-family:&quot;Arial&quot;,&quot;sans-serif&quot;;
color:black"><o:p>&nbsp;</o:p></span></p>
<p class="MsoNormal"><span style="font-size:10.0pt;font-family:&quot;Arial&quot;,&quot;sans-serif&quot;;
color:black">The hints I have gotten so far say to use a conformal projection (UTM maybe?) centered at the first point with a scale factor of 1, a local projection.&nbsp; Calculate
 the Cartesian offsets from the first point to the second based on the azimuth of the given baring.&nbsp; Using the baring calculate the x and y offsets to the second point and use offsets to find the x and y of the second point in the local coordinate system.&nbsp;
 Then, reproject the x and y of the second point to the latitude and longitude in the CRS of the first points latitude and longitude.&nbsp; If this is correct, I guess the question is, what would the proj4 parameters be for such a local projections.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:10.0pt;font-family:&quot;Arial&quot;,&quot;sans-serif&quot;;
color:black"><o:p>&nbsp;</o:p></span></p>
<p class="MsoNormal"><span style="font-size:10.0pt;font-family:&quot;Arial&quot;,&quot;sans-serif&quot;;
color:black">Thanks,<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:10.0pt;font-family:&quot;Arial&quot;,&quot;sans-serif&quot;;
color:black">David<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:10.0pt;font-family:&quot;Arial&quot;,&quot;sans-serif&quot;;
color:black"><o:p>&nbsp;</o:p></span></p>
<p class="MsoNormal"><i><span style="font-size:10.0pt;font-family:&quot;Arial&quot;,&quot;sans-serif&quot;;
color:black">David M. Bake<b>r<o:p></o:p></b></span></i></p>
<p class="MsoNormal"><span style="font-size:10.0pt;font-family:&quot;Arial&quot;,&quot;sans-serif&quot;;
color:black">Senior Geologist - Chief Technology Advisor<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:10.0pt;font-family:&quot;Arial&quot;,&quot;sans-serif&quot;;
color:black">Chesapeake Energy Corporation<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:10.0pt;font-family:&quot;Arial&quot;,&quot;sans-serif&quot;;
color:black">405-935-3715 office<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:10.0pt;font-family:&quot;Arial&quot;,&quot;sans-serif&quot;;
color:black">405-496-5373 cell<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:10.0pt;font-family:&quot;Arial&quot;,&quot;sans-serif&quot;;
color:black"><a href="mailto:david.m.baker@chk.com">david.m.baker@chk.com</a><o:p></o:p></span></p>
<p class="MsoNormal"><o:p>&nbsp;</o:p></p>
</div>
<br>
<hr>
<font face="Arial" color="Gray" size="1">This email (and attachments if any) is intended only for the use of the individual or entity to which it is addressed, and may contain information that is privileged, confidential and exempt from disclosure under applicable
 law. If the reader of this email is not the intended recipient, or the employee or agent responsible for delivering this message to the intended recipient, you are hereby notified that any dissemination, distribution or copying of this communication is strictly
 prohibited. If you have received this communication in error, please notify the sender immediately by return email and destroy all copies of the email (and attachments if any).<br>
</font>
</body>
</html>