16 by Hareton Someone send me them in PM, thanks. I will paste them for future seekers. The last column is OA. "zl" "ra" "decl" "ad" "oa" Aries "0" "0" "0" "0" "0" "1" "0.9175131093" "0.3977225363" "0.4911603335" "0.4263527758" "2" "1.835114632" "0.7953430777" "0.9822781125" "0.8528365195" "3" "2.7528929248" "1.1927596164" "1.4733106292" "1.2795822956" "4" "3.6709362311" "1.5898701181" "1.9642148691" "1.7067213619" "5" "4.5893326238" "1.9865725095" "2.4549473575" "2.1343852663" "6" "5.5081699483" "2.3827646656" "2.9454640053" "2.562705943" "7" "6.4275357646" "2.7783443968" "3.4357199553" "2.9918158093" "8" "7.347517289" "3.1732094374" "3.9256694277" "3.4218478614" "9" "8.2682013357" "3.5672574337" "4.4152655645" "3.8529357711" "10" "9.1896742565" "3.9603859329" "4.9044602749" "4.2852139816" "11" "10.112021881" "4.3524923728" "5.3932040784" "4.7188178026" "12" "11.035329455" "4.7434740713" "5.8814459488" "5.1538835065" "13" "11.959681579" "5.1332282181" "6.3691331566" "5.5905484227" "14" "12.885162144" "5.5216518656" "6.8562111111" "6.0289510324" "15" "13.811854265" "5.9086419221" "7.3426232023" "6.4692310624" "16" "14.73984022" "6.2940951447" "7.8283106416" "6.9115295782" "17" "15.669201379" "6.6779081342" "8.3132123022" "7.355989077" "18" "16.600018138" "7.0599773306" "8.7972645591" "7.8027535785" "19" "17.532369845" "7.4401990103" "9.280401129" "8.2519687162" "20" "18.466334735" "7.8184692835" "9.7625529094" "8.7037818258" "21" "19.401989852" "8.1946840943" "10.243647818" "9.1583420337" "22" "20.339410975" "8.5687392214" "10.723610632" "9.6158003428" "23" "21.278672545" "8.9405302804" "11.202362828" "10.076309717" "24" "22.219847585" "9.3099527278" "11.679822423" "10.540025162" "25" "23.163007621" "9.6769018668" "12.155903812" "11.007103809" "26" "24.108222603" "10.041272855" "12.630517618" "11.477704985" "27" "25.055560819" "10.402960711" "13.103570525" "11.951990293" "28" "26.005088814" "10.761860332" "13.574965135" "12.430123679" "29" "26.956871305" "11.117866499" "14.044599806" "12.912271499" Taurus "30" "27.910971092" "11.470873897" "14.512368513" "13.398602579" "31" "28.867448972" "11.820777129" "14.978160694" "13.889288277" "32" "29.826363646" "12.167470741" "15.441861114" "14.384502532" "33" "30.787771633" "12.510849238" "15.903349728" "14.884421905" "34" "31.751727176" "12.850807108" "16.362501547" "15.389225629" "35" "32.718282147" "13.187238855" "16.819186518" "15.899095629" "36" "33.687485959" "13.520039019" "17.273269404" "16.414216556" "37" "34.659385466" "13.849102216" "17.724609674" "16.934775793" "38" "35.634024874" "14.174323166" "18.173061406" "17.460963469" "39" "36.611445642" "14.495596731" "18.618473194" "17.992972448" "40" "37.59168639" "14.812817956" "19.060688071" "18.530998319" "41" "38.574782804" "15.125882109" "19.499543445" "19.07523936" "42" "39.560767542" "15.434684728" "19.934871039" "19.625896503" "43" "40.549670142" "15.739121666" "20.366496863" "20.183173279" "44" "41.541516927" "16.03908914" "20.794241186" "20.747275741" "45" "42.53633092" "16.33448379" "21.217918537" "21.318412383" "46" "43.53413175" "16.625202728" "21.637337717" "21.896794033" "47" "44.534935569" "16.9111436" "22.052301837" "22.482633732" "48" "45.538754967" "17.192204646" "22.462608378" "23.076146588" "49" "46.545598888" "17.468284764" "22.868049272" "23.677549617" "50" "47.55547256" "17.739283577" "23.268411006" "24.287061554" "51" "48.568377411" "18.005101501" "23.663474764" "24.904902647" "52" "49.584311005" "18.265639818" "24.05301658" "25.531294425" "53" "50.603266978" "18.520800748" "24.436807537" "26.166459441" "54" "51.625234972" "18.770487528" "24.814613987" "26.810620985" "55" "52.650200585" "19.014604488" "25.186197804" "27.464002781" "56" "53.678145317" "19.253057132" "25.551316676" "28.126828641" "57" "54.709046533" "19.485752223" "25.909724425" "28.799322108" "58" "55.742877424" "19.712597866" "26.261171369" "29.481706055" "59" "56.779606976" "19.933503591" "26.605404711" "30.174202265" Gemini "60" "57.819199952" "20.148380447" "26.942168975" "30.877030978" "61" "58.861616881" "20.357141085" "27.271206472" "31.590410409" "62" "59.906814045" "20.559699852" "27.592257804" "32.314556241" "63" "60.954743493" "20.75597288" "27.905062406" "33.049681087" "64" "62.005353048" "20.945878178" "28.209359125" "33.795993923" "65" "63.058586331" "21.129335723" "28.504886826" "34.553699504" "66" "64.114382795" "21.306267554" "28.791385048" "35.322997747" "67" "65.172677767" "21.476597861" "29.06859467" "36.104083097" "68" "66.2334025" "21.640253081" "29.336258627" "36.897143873" "69" "67.296484238" "21.797161985" "29.594122642" "37.702361597" "70" "68.361846289" "21.94725577" "29.841935981" "38.519910308" "71" "69.429408109" "22.090468146" "30.07945224" "39.34995587" "72" "70.4990854" "22.226735425" "30.306430131" "40.192655269" "73" "71.570790214" "22.355996608" "30.522634302" "41.048155912" "74" "72.644431069" "22.478193463" "30.727836142" "41.916594927" "75" "73.71991308" "22.59327061" "30.921814611" "42.798098469" "76" "74.797138094" "22.701175599" "31.104357051" "43.692781043" "77" "75.876004839" "22.801858983" "31.275259997" "44.600744842" "78" "76.95640908" "22.895274393" "31.434329971" "45.522079109" "79" "78.038243791" "22.981378602" "31.58138426" "46.456859531" "80" "79.121399326" "23.060131593" "31.716251663" "47.405147663" "81" "80.205763608" "23.131496617" "31.83877321" "48.366990398" "82" "81.291222322" "23.195440252" "31.948802839" "49.342419482" "83" "82.377659113" "23.251932449" "32.046208036" "50.331451078" "84" "83.464955799" "23.300946584" "32.130870414" "51.334085386" "85" "84.552992581" "23.342459497" "32.20268625" "52.350306331" "86" "85.641648265" "23.376451528" "32.261566953" "53.380081312" "87" "86.730800486" "23.402906548" "32.30743947" "54.423361016" "88" "87.820325938" "23.421811988" "32.340246624" "55.480079313" "89" "88.910100605" "23.433158853" "32.359947385" "56.550153221" Cancer "90" "90" "23.433158853" "32.359947385" "57.640052615" "91" "91.089899395" "23.433158853" "32.359947385" "58.72995201" "92" "92.179674062" "23.421811988" "32.340246624" "59.839427438" "93" "93.269199514" "23.402906548" "32.30743947" "60.961760045" "94" "94.358351735" "23.376451528" "32.261566953" "62.096784782" "95" "95.447007419" "23.342459497" "32.20268625" "63.244321169" "96" "96.535044201" "23.300946584" "32.130870414" "64.404173787" "97" "97.622340887" "23.251932449" "32.046208036" "65.576132851" "98" "98.708777678" "23.195440252" "31.948802839" "66.759974839" "99" "99.794236392" "23.131496617" "31.83877321" "67.955463182" "100" "100.87860067" "23.060131593" "31.716251663" "69.162349011" "101" "101.96175621" "22.981378602" "31.58138426" "70.380371949" "102" "103.04359092" "22.895274393" "31.434329971" "71.609260948" "103" "104.12399516" "22.801858983" "31.275259997" "72.848735164" "104" "105.20286191" "22.701175599" "31.104357051" "74.098504854" "105" "106.28008692" "22.59327061" "30.921814611" "75.358272308" "106" "107.35556893" "22.478193463" "30.727836142" "76.627732789" "107" "108.42920979" "22.355996608" "30.522634302" "77.906575484" "108" "109.5009146" "22.226735425" "30.306430131" "79.194484468" "109" "110.57059189" "22.090468146" "30.07945224" "80.491139651" "110" "111.63815371" "21.94725577" "29.841935981" "81.79621773" "111" "112.70351576" "21.797161985" "29.594122642" "83.10939312" "112" "113.7665975" "21.640253081" "29.336258627" "84.430338873" "113" "114.82732223" "21.476597861" "29.06859467" "85.758727564" "114" "115.88561721" "21.306267554" "28.791385048" "87.094232157" "115" "116.94141367" "21.129335723" "28.504886826" "88.436526843" "116" "117.99464695" "20.945878178" "28.209359125" "89.785287827" "117" "119.04525651" "20.75597288" "27.905062406" "91.1401941" "118" "120.09318595" "20.559699852" "27.592257804" "92.500928151" "119" "121.13838312" "20.357141085" "27.271206472" "93.867176648" Leo "120" "122.18080005" "20.148380447" "26.942168975" "95.238631073" "121" "123.22039302" "19.933503591" "26.605404711" "96.614988314" "122" "124.25712258" "19.712597866" "26.261171369" "97.995951208" "123" "125.29095347" "19.485752223" "25.909724425" "99.381229041" "124" "126.32185468" "19.253057132" "25.551316676" "100.77053801" "125" "127.34979942" "19.014604488" "25.186197804" "102.16360161" "126" "128.37476503" "18.770487528" "24.814613987" "103.56015104" "127" "129.39673302" "18.520800748" "24.436807537" "104.95992548" "128" "130.41568899" "18.265639818" "24.05301658" "106.36267241" "129" "131.43162259" "18.005101501" "23.663474764" "107.76814783" "130" "132.44452744" "17.739283577" "23.268411006" "109.17611643" "131" "133.45440111" "17.468284764" "22.868049272" "110.58635184" "132" "134.46124503" "17.192204646" "22.462608378" "111.99863666" "133" "135.46506443" "16.9111436" "22.052301837" "113.41276259" "134" "136.46586825" "16.625202728" "21.637337717" "114.82853053" "135" "137.46366908" "16.33448379" "21.217918537" "116.24575054" "136" "138.45848307" "16.03908914" "20.794241186" "117.66424189" "137" "139.45032986" "15.739121666" "20.366496863" "119.083833" "138" "140.43923246" "15.434684728" "19.934871039" "120.50436142" "139" "141.4252172" "15.125882109" "19.499543445" "121.92567375" "140" "142.40831361" "14.812817956" "19.060688071" "123.34762554" "141" "143.38855436" "14.495596731" "18.618473194" "124.77008116" "142" "144.36597513" "14.174323166" "18.173061406" "126.19291372" "143" "145.34061453" "13.849102216" "17.724609674" "127.61600486" "144" "146.31251404" "13.520039019" "17.273269404" "129.03924464" "145" "147.28171785" "13.187238855" "16.819186518" "130.46253133" "146" "148.24827282" "12.850807108" "16.362501547" "131.88577128" "147" "149.21222837" "12.510849238" "15.903349728" "133.30887864" "148" "150.17363635" "12.167470741" "15.441861114" "134.73177524" "149" "151.13255103" "11.820777129" "14.978160694" "136.15439033" Virgo "150" "152.08902891" "11.470873897" "14.512368513" "137.57666039" "151" "153.0431287" "11.117866499" "14.044599806" "138.99852889" "152" "153.99491119" "10.761860332" "13.574965135" "140.41994605" "153" "154.94443918" "10.402960711" "13.103570525" "141.84086866" "154" "155.8917774" "10.041272855" "12.630517618" "143.26125978" "155" "156.83699238" "9.6769018668" "12.155903812" "144.68108857" "156" "157.78015241" "9.3099527278" "11.679822423" "146.10032999" "157" "158.72132746" "8.9405302804" "11.202362828" "147.51896463" "158" "159.66058903" "8.5687392214" "10.723610632" "148.93697839" "159" "160.59801015" "8.1946840943" "10.243647818" "150.35436233" "160" "161.53366526" "7.8184692835" "9.7625529094" "151.77111236" "161" "162.46763015" "7.4401990103" "9.280401129" "153.18722903" "162" "163.39998186" "7.0599773306" "8.7972645591" "154.6027173" "163" "164.33079862" "6.6779081342" "8.3132123022" "156.01758632" "164" "165.26015978" "6.2940951447" "7.8283106416" "157.43184914" "165" "166.18814574" "5.9086419221" "7.3426232023" "158.84552253" "166" "167.11483786" "5.5216518656" "6.8562111111" "160.25862675" "167" "168.04031842" "5.1332282181" "6.3691331566" "161.67118526" "168" "168.96467054" "4.7434740713" "5.8814459488" "163.0832246" "169" "169.88797812" "4.3524923728" "5.3932040784" "164.49477404" "170" "170.81032574" "3.9603859329" "4.9044602749" "165.90586547" "171" "171.73179866" "3.5672574337" "4.4152655645" "167.3165331" "172" "172.65248271" "3.1732094374" "3.9256694277" "168.72681328" "173" "173.57246424" "2.7783443968" "3.4357199553" "170.13674428" "174" "174.49183005" "2.3827646656" "2.9454640053" "171.54636605" "175" "175.41066738" "1.9865725095" "2.4549473575" "172.95572002" "176" "176.32906377" "1.5898701181" "1.9642148691" "174.3648489" "177" "177.24710708" "1.1927596164" "1.4733106292" "175.77379645" "178" "178.16488537" "0.7953430777" "0.9822781125" "177.18260726" "179" "179.08248689" "0.3977225363" "0.4911603335" "178.59132656" Libra "180" "180" "2.790823E-15" "3.446379E-15" "180" "181" "180.91751311" "-0.397722536" "-0.491160333" "181.40867344" "182" "181.83511463" "-0.795343078" "-0.982278112" "182.81739274" "183" "182.75289292" "-1.192759616" "-1.473310629" "184.22620355" "184" "183.67093623" "-1.589870118" "-1.964214869" "185.6351511" "185" "184.58933262" "-1.98657251" "-2.454947357" "187.04427998" "186" "185.50816995" "-2.382764666" "-2.945464005" "188.45363395" "187" "186.42753576" "-2.778344397" "-3.435719955" "189.86325572" "188" "187.34751729" "-3.173209437" "-3.925669428" "191.27318672" "189" "188.26820134" "-3.567257434" "-4.415265565" "192.6834669" "190" "189.18967426" "-3.960385933" "-4.904460275" "194.09413453" "191" "190.11202188" "-4.352492373" "-5.393204078" "195.50522596" "192" "191.03532946" "-4.743474071" "-5.881445949" "196.9167754" "193" "191.95968158" "-5.133228218" "-6.369133157" "198.32881474" "194" "192.88516214" "-5.521651866" "-6.856211111" "199.74137325" "195" "193.81185426" "-5.908641922" "-7.342623202" "201.15447747" "196" "194.73984022" "-6.294095145" "-7.828310642" "202.56815086" "197" "195.66920138" "-6.677908134" "-8.313212302" "203.98241368" "198" "196.60001814" "-7.059977331" "-8.797264559" "205.3972827" "199" "197.53236985" "-7.44019901" "-9.280401129" "206.81277097" "200" "198.46633474" "-7.818469283" "-9.762552909" "208.22888764" "201" "199.40198985" "-8.194684094" "-10.24364782" "209.64563767" "202" "200.33941097" "-8.568739221" "-10.72361063" "211.06302161" "203" "201.27867254" "-8.94053028" "-11.20236283" "212.48103537" "204" "202.21984759" "-9.309952728" "-11.67982242" "213.89967001" "205" "203.16300762" "-9.676901867" "-12.15590381" "215.31891143" "206" "204.1082226" "-10.04127285" "-12.63051762" "216.73874022" "207" "205.05556082" "-10.40296071" "-13.10357053" "218.15913134" "208" "206.00508881" "-10.76186033" "-13.57496513" "219.58005395" "209" "206.9568713" "-11.1178665" "-14.04459981" "221.00147111" Scorpio "210" "207.91097109" "-11.4708739" "-14.51236851" "222.42333961" "211" "208.86744897" "-11.82077713" "-14.97816069" "223.84560967" "212" "209.82636365" "-12.16747074" "-15.44186111" "225.26822476" "213" "210.78777163" "-12.51084924" "-15.90334973" "226.69112136" "214" "211.75172718" "-12.85080711" "-16.36250155" "228.11422872" "215" "212.71828215" "-13.18723885" "-16.81918652" "229.53746867" "216" "213.68748596" "-13.52003902" "-17.2732694" "230.96075536" "217" "214.65938547" "-13.84910222" "-17.72460967" "232.38399514" "218" "215.63402487" "-14.17432317" "-18.17306141" "233.80708628" "219" "216.61144564" "-14.49559673" "-18.61847319" "235.22991884" "220" "217.59168639" "-14.81281796" "-19.06068807" "236.65237446" "221" "218.5747828" "-15.12588211" "-19.49954344" "238.07432625" "222" "219.56076754" "-15.43468473" "-19.93487104" "239.49563858" "223" "220.54967014" "-15.73912167" "-20.36649686" "240.916167" "224" "221.54151693" "-16.03908914" "-20.79424119" "242.33575811" "225" "222.53633092" "-16.33448379" "-21.21791854" "243.75424946" "226" "223.53413175" "-16.62520273" "-21.63733772" "245.17146947" "227" "224.53493557" "-16.9111436" "-22.05230184" "246.58723741" "228" "225.53875497" "-17.19220465" "-22.46260838" "248.00136334" "229" "226.54559889" "-17.46828476" "-22.86804927" "249.41364816" "230" "227.55547256" "-17.73928358" "-23.26841101" "250.82388357" "231" "228.56837741" "-18.0051015" "-23.66347476" "252.23185217" "232" "229.58431101" "-18.26563982" "-24.05301658" "253.63732759" "233" "230.60326698" "-18.52080075" "-24.43680754" "255.04007452" "234" "231.62523497" "-18.77048753" "-24.81461399" "256.43984896" "235" "232.65020058" "-19.01460449" "-25.1861978" "257.83639839" "236" "233.67814532" "-19.25305713" "-25.55131668" "259.22946199" "237" "234.70904653" "-19.48575222" "-25.90972443" "260.61877096" "238" "235.74287742" "-19.71259787" "-26.26117137" "262.00404879" "239" "236.77960698" "-19.93350359" "-26.60540471" "263.38501169" Sagittarius "240" "237.81919995" "-20.14838045" "-26.94216897" "264.76136893" "241" "238.86161688" "-20.35714108" "-27.27120647" "266.13282335" "242" "239.90681405" "-20.55969985" "-27.5922578" "267.49907185" "243" "240.95474349" "-20.75597288" "-27.90506241" "268.8598059" "244" "242.00535305" "-20.94587818" "-28.20935912" "270.21471217" "245" "243.05858633" "-21.12933572" "-28.50488683" "271.56347316" "246" "244.11438279" "-21.30626755" "-28.79138505" "272.90576784" "247" "245.17267777" "-21.47659786" "-29.06859467" "274.24127244" "248" "246.2334025" "-21.64025308" "-29.33625863" "275.56966113" "249" "247.29648424" "-21.79716199" "-29.59412264" "276.89060688" "250" "248.36184629" "-21.94725577" "-29.84193598" "278.20378227" "251" "249.42940811" "-22.09046815" "-30.07945224" "279.50886035" "252" "250.4990854" "-22.22673543" "-30.30643013" "280.80551553" "253" "251.57079021" "-22.35599661" "-30.5226343" "282.09342452" "254" "252.64443107" "-22.47819346" "-30.72783614" "283.37226721" "255" "253.71991308" "-22.59327061" "-30.92181461" "284.64172769" "256" "254.79713809" "-22.7011756" "-31.10435705" "285.90149515" "257" "255.87600484" "-22.80185898" "-31.27526" "287.15126484" "258" "256.95640908" "-22.89527439" "-31.43432997" "288.39073905" "259" "258.03824379" "-22.9813786" "-31.58138426" "289.61962805" "260" "259.12139933" "-23.06013159" "-31.71625166" "290.83765099" "261" "260.20576361" "-23.13149662" "-31.83877321" "292.04453682" "262" "261.29122232" "-23.19544025" "-31.94880284" "293.24002516" "263" "262.37765911" "-23.25193245" "-32.04620804" "294.42386715" "264" "263.4649558" "-23.30094658" "-32.13087041" "295.59582621" "265" "264.55299258" "-23.3424595" "-32.20268625" "296.75567883" "266" "265.64164826" "-23.37645153" "-32.26156695" "297.90321522" "267" "266.73080049" "-23.40290655" "-32.30743947" "299.03823996" "268" "267.82032594" "-23.42181199" "-32.34024662" "300.16057256" "269" "268.91010061" "-23.43315885" "-32.35994738" "301.27004799" Capicorn "270" "270" "-23.43315885" "-32.35994738" "302.35994738" "271" "271.08989939" "-23.43315885" "-32.35994738" "303.44984678" "272" "272.17967406" "-23.42181199" "-32.34024662" "304.51992069" "273" "273.26919951" "-23.40290655" "-32.30743947" "305.57663898" "274" "274.35835174" "-23.37645153" "-32.26156695" "306.61991869" "275" "275.44700742" "-23.3424595" "-32.20268625" "307.64969367" "276" "276.5350442" "-23.30094658" "-32.13087041" "308.66591461" "277" "277.62234089" "-23.25193245" "-32.04620804" "309.66854892" "278" "278.70877768" "-23.19544025" "-31.94880284" "310.65758052" "279" "279.79423639" "-23.13149662" "-31.83877321" "311.6330096" "280" "280.87860067" "-23.06013159" "-31.71625166" "312.59485234" "281" "281.96175621" "-22.9813786" "-31.58138426" "313.54314047" "282" "283.04359092" "-22.89527439" "-31.43432997" "314.47792089" "283" "284.12399516" "-22.80185898" "-31.27526" "315.39925516" "284" "285.20286191" "-22.7011756" "-31.10435705" "316.30721896" "285" "286.28008692" "-22.59327061" "-30.92181461" "317.20190153" "286" "287.35556893" "-22.47819346" "-30.72783614" "318.08340507" "287" "288.42920979" "-22.35599661" "-30.5226343" "318.95184409" "288" "289.5009146" "-22.22673543" "-30.30643013" "319.80734473" "289" "290.57059189" "-22.09046815" "-30.07945224" "320.65004413" "290" "291.63815371" "-21.94725577" "-29.84193598" "321.48008969" "291" "292.70351576" "-21.79716199" "-29.59412264" "322.2976384" "292" "293.7665975" "-21.64025308" "-29.33625863" "323.10285613" "293" "294.82732223" "-21.47659786" "-29.06859467" "323.8959169" "294" "295.88561721" "-21.30626755" "-28.79138505" "324.67700225" "295" "296.94141367" "-21.12933572" "-28.50488683" "325.4463005" "296" "297.99464695" "-20.94587818" "-28.20935912" "326.20400608" "297" "299.04525651" "-20.75597288" "-27.90506241" "326.95031891" "298" "300.09318595" "-20.55969985" "-27.5922578" "327.68544376" "299" "301.13838312" "-20.35714108" "-27.27120647" "328.40958959" Aquarius "300" "302.18080005" "-20.14838045" "-26.94216897" "329.12296902" "301" "303.22039302" "-19.93350359" "-26.60540471" "329.82579773" "302" "304.25712258" "-19.71259787" "-26.26117137" "330.51829394" "303" "305.29095347" "-19.48575222" "-25.90972443" "331.20067789" "304" "306.32185468" "-19.25305713" "-25.55131668" "331.87317136" "305" "307.34979942" "-19.01460449" "-25.1861978" "332.53599722" "306" "308.37476503" "-18.77048753" "-24.81461399" "333.18937901" "307" "309.39673302" "-18.52080075" "-24.43680754" "333.83354056" "308" "310.41568899" "-18.26563982" "-24.05301658" "334.46870557" "309" "311.43162259" "-18.0051015" "-23.66347476" "335.09509735" "310" "312.44452744" "-17.73928358" "-23.26841101" "335.71293845" "311" "313.45440111" "-17.46828476" "-22.86804927" "336.32245038" "312" "314.46124503" "-17.19220465" "-22.46260838" "336.92385341" "313" "315.46506443" "-16.9111436" "-22.05230184" "337.51736627" "314" "316.46586825" "-16.62520273" "-21.63733772" "338.10320597" "315" "317.46366908" "-16.33448379" "-21.21791854" "338.68158762" "316" "318.45848307" "-16.03908914" "-20.79424119" "339.25272426" "317" "319.45032986" "-15.73912167" "-20.36649686" "339.81682672" "318" "320.43923246" "-15.43468473" "-19.93487104" "340.3741035" "319" "321.4252172" "-15.12588211" "-19.49954344" "340.92476064" "320" "322.40831361" "-14.81281796" "-19.06068807" "341.46900168" "321" "323.38855436" "-14.49559673" "-18.61847319" "342.00702755" "322" "324.36597513" "-14.17432317" "-18.17306141" "342.53903653" "323" "325.34061453" "-13.84910222" "-17.72460967" "343.06522421" "324" "326.31251404" "-13.52003902" "-17.2732694" "343.58578344" "325" "327.28171785" "-13.18723885" "-16.81918652" "344.10090437" "326" "328.24827282" "-12.85080711" "-16.36250155" "344.61077437" "327" "329.21222837" "-12.51084924" "-15.90334973" "345.11557809" "328" "330.17363635" "-12.16747074" "-15.44186111" "345.61549747" "329" "331.13255103" "-11.82077713" "-14.97816069" "346.11071172" Pisces "330" "332.08902891" "-11.4708739" "-14.51236851" "346.60139742" "331" "333.0431287" "-11.1178665" "-14.04459981" "347.0877285" "332" "333.99491119" "-10.76186033" "-13.57496513" "347.56987632" "333" "334.94443918" "-10.40296071" "-13.10357053" "348.04800971" "334" "335.8917774" "-10.04127285" "-12.63051762" "348.52229501" "335" "336.83699238" "-9.676901867" "-12.15590381" "348.99289619" "336" "337.78015241" "-9.309952728" "-11.67982242" "349.45997484" "337" "338.72132746" "-8.94053028" "-11.20236283" "349.92369028" "338" "339.66058903" "-8.568739221" "-10.72361063" "350.38419966" "339" "340.59801015" "-8.194684094" "-10.24364782" "350.84165797" "340" "341.53366526" "-7.818469283" "-9.762552909" "351.29621817" "341" "342.46763015" "-7.44019901" "-9.280401129" "351.74803128" "342" "343.39998186" "-7.059977331" "-8.797264559" "352.19724642" "343" "344.33079862" "-6.677908134" "-8.313212302" "352.64401092" "344" "345.26015978" "-6.294095145" "-7.828310642" "353.08847042" "345" "346.18814574" "-5.908641922" "-7.342623202" "353.53076894" "346" "347.11483786" "-5.521651866" "-6.856211111" "353.97104897" "347" "348.04031842" "-5.133228218" "-6.369133157" "354.40945158" "348" "348.96467054" "-4.743474071" "-5.881445949" "354.84611649" "349" "349.88797812" "-4.352492373" "-5.393204078" "355.2811822" "350" "350.81032574" "-3.960385933" "-4.904460275" "355.71478602" "351" "351.73179866" "-3.567257434" "-4.415265565" "356.14706423" "352" "352.65248271" "-3.173209437" "-3.925669428" "356.57815214" "353" "353.57246424" "-2.778344397" "-3.435719955" "357.00818419" "354" "354.49183005" "-2.382764666" "-2.945464005" "357.43729406" "355" "355.41066738" "-1.98657251" "-2.454947357" "357.86561473" "356" "356.32906377" "-1.589870118" "-1.964214869" "358.29327864" "357" "357.24710708" "-1.192759616" "-1.473310629" "358.7204177" "358" "358.16488537" "-0.795343078" "-0.982278112" "359.14716348" "359" "359.08248689" "-0.397722536" "-0.491160333" "359.57364722" Quote Sat Feb 18, 2012 11:49 am
17 by zoidsoft If you're going to use tables like this for primary directions at least make sure you are doing interpolation and stay away from extreme latitudes so that your results are at least within a year of being correct. Better yet use the formula: oblique ascension = Right ascension - c sin(c) = tan(geo.latitude) x tan(declination) C is the "correction factor". If we remember the rules for sides of an equation in trig, the Sin(C) becomes ArcSin as below: c = arcsin(tan(geo.latitude) x (tan(declination)) This works for directions of the ascendant, but Ptolemy said that it is not an accurate representation mathematically for planet to planet directions (unless one of them happens to be on the ascendant). Planets to the MC simply subtract their right ascensions for the difference applied to the key in years which is the simplest kind of direction. Planet to planet directions are another formula entirely (if you are following Placidus/Alchabitius method). The formula is much longer than these and involves many steps. Rumen Kolev did a nice mathematical simplification of Zoller's Alchabitius method in a paper back in 2003. Beware that primary directions are not simply a matter of getting the oblique ascensions of planets in most cases. Curtis Manwaring Zoidiasoft Technologies, LLC Quote Sat Feb 18, 2012 1:14 pm
18 by Hareton I live at 51'06, so it shouldn't be a problem. About planet to planet directions, I have seen one method that calculated somewhat middle value between RA and OA, is this correct? Quote Sat Feb 18, 2012 5:47 pm
19 by Ninneveh Does anyone known of an online source for generating Oblique Ascension tables? All the ones that were mentioned in previous posts seem to have disappeared. In addition, are there any in print books that have a complete set of Oblique Ascensions with all latitudes in them for handy reference? Quote Wed Oct 29, 2014 11:39 pm