Transformation from global spherical to local cylindrical












0












$begingroup$


I have the coordinates of a vortex in a global spherical coordinate on the surface of a sphere defined in terms of latitude and longitude(earth centric). Now I need to transform to a local coordinate system that is cylindrical but one that is centered on the center of the vortex. So the radius in the local cylindrical coordinate system is the distance from the center of the vortex to a point on the vortex and the azimuth angle is a local angle.



What would be the scaling, rotation and translation transformations if any for this problem ?










share|cite|improve this question









$endgroup$

















    0












    $begingroup$


    I have the coordinates of a vortex in a global spherical coordinate on the surface of a sphere defined in terms of latitude and longitude(earth centric). Now I need to transform to a local coordinate system that is cylindrical but one that is centered on the center of the vortex. So the radius in the local cylindrical coordinate system is the distance from the center of the vortex to a point on the vortex and the azimuth angle is a local angle.



    What would be the scaling, rotation and translation transformations if any for this problem ?










    share|cite|improve this question









    $endgroup$















      0












      0








      0





      $begingroup$


      I have the coordinates of a vortex in a global spherical coordinate on the surface of a sphere defined in terms of latitude and longitude(earth centric). Now I need to transform to a local coordinate system that is cylindrical but one that is centered on the center of the vortex. So the radius in the local cylindrical coordinate system is the distance from the center of the vortex to a point on the vortex and the azimuth angle is a local angle.



      What would be the scaling, rotation and translation transformations if any for this problem ?










      share|cite|improve this question









      $endgroup$




      I have the coordinates of a vortex in a global spherical coordinate on the surface of a sphere defined in terms of latitude and longitude(earth centric). Now I need to transform to a local coordinate system that is cylindrical but one that is centered on the center of the vortex. So the radius in the local cylindrical coordinate system is the distance from the center of the vortex to a point on the vortex and the azimuth angle is a local angle.



      What would be the scaling, rotation and translation transformations if any for this problem ?







      trigonometry spherical-coordinates cylindrical-coordinates






      share|cite|improve this question













      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked Dec 25 '18 at 2:40









      gansubgansub

      158111




      158111






















          0






          active

          oldest

          votes












          Your Answer








          StackExchange.ready(function() {
          var channelOptions = {
          tags: "".split(" "),
          id: "69"
          };
          initTagRenderer("".split(" "), "".split(" "), channelOptions);

          StackExchange.using("externalEditor", function() {
          // Have to fire editor after snippets, if snippets enabled
          if (StackExchange.settings.snippets.snippetsEnabled) {
          StackExchange.using("snippets", function() {
          createEditor();
          });
          }
          else {
          createEditor();
          }
          });

          function createEditor() {
          StackExchange.prepareEditor({
          heartbeatType: 'answer',
          autoActivateHeartbeat: false,
          convertImagesToLinks: true,
          noModals: true,
          showLowRepImageUploadWarning: true,
          reputationToPostImages: 10,
          bindNavPrevention: true,
          postfix: "",
          imageUploader: {
          brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
          contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
          allowUrls: true
          },
          noCode: true, onDemand: true,
          discardSelector: ".discard-answer"
          ,immediatelyShowMarkdownHelp:true
          });


          }
          });














          draft saved

          draft discarded


















          StackExchange.ready(
          function () {
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3051788%2ftransformation-from-global-spherical-to-local-cylindrical%23new-answer', 'question_page');
          }
          );

          Post as a guest















          Required, but never shown

























          0






          active

          oldest

          votes








          0






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes
















          draft saved

          draft discarded




















































          Thanks for contributing an answer to Mathematics Stack Exchange!


          • Please be sure to answer the question. Provide details and share your research!

          But avoid



          • Asking for help, clarification, or responding to other answers.

          • Making statements based on opinion; back them up with references or personal experience.


          Use MathJax to format equations. MathJax reference.


          To learn more, see our tips on writing great answers.




          draft saved


          draft discarded














          StackExchange.ready(
          function () {
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3051788%2ftransformation-from-global-spherical-to-local-cylindrical%23new-answer', 'question_page');
          }
          );

          Post as a guest















          Required, but never shown





















































          Required, but never shown














          Required, but never shown












          Required, but never shown







          Required, but never shown

































          Required, but never shown














          Required, but never shown












          Required, but never shown







          Required, but never shown







          Popular posts from this blog

          Plaza Victoria

          In PowerPoint, is there a keyboard shortcut for bulleted / numbered list?

          How to put 3 figures in Latex with 2 figures side by side and 1 below these side by side images but in...