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September 13, 2025 13:55
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Plot a Beam-Map with LaTeX for HAM-Radio Usage
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| % DL9MJ 2025 CC-BY-SA-4.0 | |
| % compile with lualatex | |
| \documentclass{standalone} | |
| \usepackage{pgfplots} | |
| \usepgfplotslibrary{polar} | |
| \usetikzlibrary{arrows.meta} | |
| % Berlin ... set it to what you want! | |
| \def\latO{52.5200} | |
| \def\lonO{13.4050} | |
| \begin{document} | |
| \begin{filecontents*}{world.dat} | |
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| 64.052349074158997 -67.405239353300942 | |
| 64.992446730412752 -67.620730075958051 | |
| 65.971715122343767 -67.738345635854358 | |
| 66.911864455029814 -67.855909519318374 | |
| 67.891132846960801 -67.934302667105143 | |
| 68.890038283162738 -67.934302667105143 | |
| 69.71262373238477 -68.972792250442637 | |
| 69.673452996707539 -69.227557061641562 | |
| 69.555940789675816 -69.678227227658994 | |
| 68.596257765583431 -69.93294036242564 | |
| 67.812739699174045 -70.305269057088594 | |
| 67.949888950476662 -70.69718311959015 | |
| 69.066306593710294 -70.677546075319242 | |
| 68.929157342407677 -71.069460137820812 | |
| 68.419989455035847 -71.441788832483766 | |
| 67.949888950476662 -71.853288262823952 | |
| 68.713769972615154 -72.166809177538738 | |
| 69.869306675093725 -72.264787693164138 | |
| 71.024895054004588 -72.088416029751968 | |
| 71.573285353485971 -71.696501967250398 | |
| 71.906288283174803 -71.324224949019751 | |
| 72.454626906223865 -71.01070403430495 | |
| 73.081410353492004 -70.71676848742878 | |
| 73.336020135394051 -70.364025160604442 | |
| 73.864876743469097 -69.874184258909779 | |
| 74.491556837872622 -69.776205743284393 | |
| 75.627559848944884 -69.737035007607147 | |
| 76.626465285146793 -69.61941944771084 | |
| 77.644904412755039 -69.462684828569593 | |
| 78.134538608720533 -69.070770766068023 | |
| 78.428370802732132 -68.698442071405083 | |
| 79.11385867708384 -68.326216729606713 | |
| 80.093127069014827 -68.071503594840067 | |
| 80.935349562507781 -67.875546563589282 | |
| 81.483791538421428 -67.542388604603573 | |
| 82.051767205741413 -67.366068617623711 | |
| 82.776425815770352 -67.209282322050157 | |
| 83.775331251972261 -67.307260837675557 | |
| 84.676206496116492 -67.209282322050157 | |
| 85.6555265644798 -67.091718438586156 | |
| 86.752358839874802 -67.150474542102003 | |
| 87.477017449903741 -66.876176039496741 | |
| 87.986288690140157 -66.209911797957616 | |
| 88.358410679073941 -66.484261976995171 | |
| 88.828407830768526 -66.954569187283511 | |
| 89.670630324261481 -67.150474542102003 | |
| 90.630365024786158 -67.228867689888787 | |
| 91.590099725310836 -67.111303806424772 | |
| 92.608538852919082 -67.189696954211541 | |
| 93.548636509172837 -67.209282322050157 | |
| 94.175419956440962 -67.111303806424772 | |
| 95.01759077350161 -67.170111586372926 | |
| 95.781471795640101 -67.385653985462326 | |
| 96.682398716216625 -67.248504734159695 | |
| 97.759645623772983 -67.248504734159695 | |
| 98.680209588620443 -67.111303806424772 | |
| 99.718182407634998 -67.248504734159695 | |
| 100.384188267012661 -66.915346775173987 | |
| 100.893356154384477 -66.582240492620571 | |
| 101.578895705168506 -66.307890313583016 | |
| 102.832410923272477 -65.563284600689414 | |
| 103.478676385514618 -65.700485528424338 | |
| 104.242557407653095 -65.9747840310296 | |
| 104.908459914166187 -66.327527357853924 | |
| 106.181560500108787 -66.934932143012603 | |
| 107.160880568472066 -66.954569187283511 | |
| 108.08139285688722 -66.954569187283511 | |
| 109.15863976444362 -66.83700530381951 | |
| 110.235834995567714 -66.699804376084586 | |
| 111.058472121222053 -66.425505873479324 | |
| 111.743959995573732 -66.131570326603139 | |
| 112.860377638807364 -66.092347914493615 | |
| 113.604673293107226 -65.8768055154042 | |
| 114.388088006652026 -66.072762546654985 | |
| 114.89730757045615 -66.386283461369786 | |
| 115.602380812646459 -66.699804376084586 | |
| 116.699161411609182 -66.66063364040734 | |
| 117.384700962393168 -66.915346775173987 | |
| 118.579460076981292 -67.170111586372926 | |
| 119.832923618652984 -67.268090101998311 | |
| 120.870999790532125 -67.189696954211541 | |
| 121.654414504076925 -66.876176039496741 | |
| 122.320368687022281 -66.562655124781955 | |
| 123.221295607598847 -66.484261976995171 | |
| 124.122274204607621 -66.621462904730095 | |
| 125.160247023622219 -66.719389743923202 | |
| 126.100396356308238 -66.562655124781955 | |
| 127.001426629749332 -66.562655124781955 | |
| 127.882768182487254 -66.66063364040734 | |
| 128.803280470902394 -66.75861215603274 | |
| 129.70425906791121 -66.582240492620571 | |
| 130.781454299035317 -66.425505873479324 | |
| 131.799945103075856 -66.386283461369786 | |
| 132.935896437715826 -66.386283461369786 | |
| 133.856460402563243 -66.2883049457444 | |
| 134.757387323139767 -66.209963474389909 | |
| 135.031582472880416 -65.720070896262953 | |
| 135.070753208557676 -65.308571465922768 | |
| 135.69748497939355 -65.58286996852803 | |
| 135.87380496637337 -66.033591810977754 | |
| 136.206704543197645 -66.44509124131794 | |
| 136.618048944240968 -66.778197523871356 | |
| 137.460271437733923 -66.954569187283511 | |
| 138.596222772373892 -66.895761407335371 | |
| 139.908442417561389 -66.876176039496741 | |
| 140.809421014570205 -66.817368259548587 | |
| 142.121692336190051 -66.817368259548587 | |
| 143.061841668876127 -66.797782891709971 | |
| 144.374061314063624 -66.83700530381951 | |
| 145.490427280864992 -66.915346775173987 | |
| 146.195552199487622 -67.228867689888787 | |
| 145.999698521101379 -67.601196384551727 | |
| 146.646067336208148 -67.895131931427912 | |
| 147.723262567332256 -68.130259698355928 | |
| 148.839628534133624 -68.385024509554867 | |
| 150.132314487914812 -68.561292820102452 | |
| 151.483704868779569 -68.718130792108283 | |
| 152.5022473492524 -68.874813734817238 | |
| 153.638198683892369 -68.894502455520438 | |
| 154.284567498999138 -68.561292820102452 | |
| 155.165857375304711 -68.835642999140006 | |
| 155.929790073875495 -69.149215590287085 | |
| 156.811131626613417 -69.384291680782823 | |
| 158.025527785472434 -69.482270196408209 | |
| 159.181012811518713 -69.599834079872224 | |
| 159.670698683916498 -69.991748142373794 | |
| 160.806650018556468 -70.22687590930181 | |
| 161.570479364262667 -70.579619236126149 | |
| 162.686897007496242 -70.736353855267396 | |
| 163.842433709974841 -70.71676848742878 | |
| 164.919680617531242 -70.775524590944642 | |
| 166.114439732119365 -70.755939223106012 | |
| 167.309095493842904 -70.834332370892781 | |
| 168.425616489941092 -70.971481622195427 | |
| 169.463589308955704 -71.206661065555735 | |
| 170.501665480834845 -71.40261809680652 | |
| 171.206790399457475 -71.696501967250398 | |
| 171.08922651599346 -72.088416029751968 | |
| 170.560421584350706 -72.441159356576293 | |
| 170.109958124062416 -72.891829522593724 | |
| 169.757369826534955 -73.24452117298577 | |
| 169.28732099840812 -73.656020603325956 | |
| 167.975101353220566 -73.812806898899495 | |
| 167.387488641629659 -74.165498549291527 | |
| 166.094802687848471 -74.381040948380928 | |
| 165.644390903992473 -74.772955010882498 | |
| 164.958851353208473 -75.145283705545452 | |
| 164.234192743179563 -75.458804620260253 | |
| 163.822796665703947 -75.870304050600438 | |
| 163.568238560234192 -76.242581068831086 | |
| 163.470260044608807 -76.69330291128081 | |
| 163.489897088879758 -77.065579929511472 | |
| 164.057872756199714 -77.457442315580735 | |
| 164.273363478856822 -77.829771010243689 | |
| 164.74346398341595 -78.182514337068014 | |
| 166.604125604517151 -78.319611911938352 | |
| 166.995781284857287 -78.750748386549461 | |
| 165.193875767271948 -78.907483005690708 | |
| 163.666217075859549 -79.123025404780108 | |
| 161.766384719081145 -79.162247816889646 | |
| 160.924162225588191 -79.730481866371079 | |
| 160.747893915040606 -80.200737400227126 | |
| 160.316964146158682 -80.573066094890081 | |
| 159.788210890948221 -80.945394789553035 | |
| 161.120015903974377 -81.278501072106451 | |
| 161.629287144210821 -81.690000502446622 | |
| 162.490991652677792 -82.062277520677284 | |
| 163.705336135104517 -82.395435479662993 | |
| 165.095948928078826 -82.708956394377807 | |
| 166.604125604517151 -83.022477309092579 | |
| 168.895665318067955 -83.33599822380738 | |
| 169.40478152900755 -83.825890801934349 | |
| 172.283933954149234 -84.04143320102375 | |
| 172.477048781623978 -84.117914320815714 | |
| 173.22408328683531 -84.413710219254398 | |
| 175.985671828513034 -84.158997084487751 | |
| 178.277211542063895 -84.472517999202552 | |
| 180.0 -84.71338 | |
| \end{filecontents*} | |
| % Berlin, | |
| \begin{filecontents*}{test_world.dat} | |
| lon lat name | |
| 13.4050 52.5200 Berlin | |
| 151.2093 -33.8688 Sydney | |
| -74.0060 40.7128 New~York | |
| 139.6917 35.6895 Tokyo | |
| -58.3816 -34.6037 Buenos~Aires | |
| \end{filecontents*} | |
| \pgfmathdeclarefunction{aeqdr}{4}{% | |
| \pgfmathparse{acos(min(1,max(-1,(sin(#4)*sin(#2)+cos(#4)*cos(#2)*cos(#1-#3)))))/180} | |
| } | |
| \pgfmathdeclarefunction{aeqdtheta}{4}{% | |
| \pgfmathparse{mod(atan2(sin(#1-#3)*cos(#2),cos(#4)*sin(#2)-sin(#4)*cos(#2)*cos(#1-#3)),360)} | |
| } | |
| \begin{tikzpicture} | |
| \begin{polaraxis}[ | |
| width=8cm, | |
| height=8cm, | |
| scale only axis, | |
| y axis line style={draw=none}, | |
| separate axis lines, | |
| ymin=0, | |
| ymax=1, | |
| xtick distance=10, | |
| xticklabel={% | |
| \pgfmathparse{% | |
| int(mod(450-\tick,360))% | |
| }% | |
| \pgfmathprintnumber{% | |
| \pgfmathresult | |
| }\textdegree% | |
| }, | |
| yticklabels={}, | |
| axis background/.style={fill=blue!20}, | |
| ] | |
| \addplot [ | |
| draw=none, | |
| fill=white, | |
| line join=round, | |
| unbounded coords=jump, | |
| ] | |
| table[ | |
| x expr = {mod(450 - aeqdtheta(\thisrowno{0},\thisrowno{1},\lonO,\latO), 360)}, | |
| y expr = {aeqdr(\thisrowno{0},\thisrowno{1},\lonO,\latO)}, | |
| col sep=space, | |
| ] {world.dat}; | |
| \addplot+[ | |
| only marks, | |
| mark=*, | |
| mark size=1.6pt, | |
| red, | |
| fill=red, | |
| draw=red, | |
| color=red, | |
| mark options={fill=red, draw=red}, | |
| nodes near coords, | |
| point meta=explicit symbolic, | |
| every node near coord/.style={font=\scriptsize, anchor=south}, | |
| ] table [ | |
| x expr = {mod(450 - aeqdtheta(\thisrowno{0},\thisrowno{1},\lonO,\latO), 360)}, | |
| y expr = {aeqdr(\thisrowno{0},\thisrowno{1},\lonO,\latO)}, | |
| meta index=2, | |
| col sep=space, | |
| ] {test_world.dat}; | |
| \pgfmathsetmacro{\thetaSydney}{mod(450 - aeqdtheta(151.2093,-33.8688,\lonO,\latO),360)} | |
| \pgfmathsetmacro{\rSydney}{aeqdr(151.2093,-33.8688,\lonO,\latO)} | |
| \draw[-Triangle, green, thick] (axis cs:0,0) -- (axis cs:\thetaSydney,\rSydney) node[midway,above,rotate=15] {\small Kurzer Weg}; | |
| \draw[Triangle-, orange, thick] (axis cs:\thetaSydney,\rSydney) -- (axis cs:15,1); | |
| \draw[-Triangle, orange, thick] (axis cs:0,0) -- (axis cs:195,1) node[midway,above,rotate=15] {\small Langer Weg}; | |
| \end{polaraxis} | |
| \end{tikzpicture} | |
| \end{document} |
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