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<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="UTF-8">
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<meta name="theme-color" content="#c8a84b">
<link rel="manifest" href="manifest.json">
<link rel="icon" href="icon.svg" type="image/svg+xml">
<link rel="apple-touch-icon" href="icon-180.png">
<title>Celestial Navigator</title>
<link href="https://fonts.googleapis.com/css2?family=Cinzel:wght@400;600&family=Share+Tech+Mono&family=Crimson+Pro:ital,wght@0,300;0,400;1,300&display=swap" rel="stylesheet" crossorigin="anonymous">
<link rel="stylesheet" href="https://unpkg.com/leaflet@1.9.4/dist/leaflet.css" />
<style>
*{box-sizing:border-box;margin:0;padding:0}
:root{
--bg:#06091a;--s1:#0b1028;--s2:#0f1735;--s3:#132040;
--b1:#1a3258;--b2:#244978;--b3:#2e5d96;
--acc:#c8a84b;--acc2:#8a6e2a;--acc3:rgba(200,168,75,0.12);
--blu:#5b9fd6;--grn:#52c98a;--red:#e05252;--pur:#a78bfa;
--tx1:#ddd5bc;--tx2:#7a8fa8;--tx3:#3d5470;
--mono:'Share Tech Mono','Courier New',monospace;
--disp:'Cinzel',Georgia,serif;
--body:'Crimson Pro',Georgia,serif;
}
html,body{height:100%;overflow:hidden}
body{
background:var(--bg);color:var(--tx1);font-family:var(--body);font-size:19px;
display:flex;flex-direction:column;
background-image:radial-gradient(ellipse 80% 50% at 15% 10%,rgba(91,159,214,0.05) 0%,transparent 70%),
radial-gradient(ellipse 60% 40% at 85% 90%,rgba(200,168,75,0.04) 0%,transparent 70%);
}
/* ─── HEADER ─── */
header{
flex-shrink:0;border-bottom:1px solid var(--b1);padding:10px 20px;
display:flex;align-items:center;justify-content:space-between;
background:var(--s1);
background-image:linear-gradient(90deg,rgba(200,168,75,0.04) 0%,transparent 50%);
}
header h1{font-family:var(--disp);font-size:24px;font-weight:700;letter-spacing:5px;color:var(--acc)}
.hdr-right{display:flex;flex-direction:column;align-items:flex-end;gap:2px}
.utc-live{font-family:var(--mono);font-size:19px;color:var(--acc);letter-spacing:3px}
.hdr-sub{font-family:var(--mono);font-size:13px;color:var(--tx3);letter-spacing:2px}
.hdr-motto{font-family:var(--serif);font-size:11px;color:var(--tx3);opacity:0.6;letter-spacing:1px;margin-top:1px}
/* ─── MAIN LAYOUT ─── */
.layout{flex:1;display:grid;grid-template-columns:380px 1fr;grid-template-rows:1fr;overflow:hidden;min-height:0}
.panel-left{border-right:1px solid var(--b1);overflow-y:auto;padding:14px;display:flex;flex-direction:column;gap:12px;background:var(--s1)}
.panel-right{overflow-y:auto;padding:14px;display:flex;flex-direction:column;gap:12px}
.rp-row{display:grid;grid-template-columns:1fr 2fr;gap:12px}
/* ─── SECTION ─── */
.sec-title{font-family:var(--disp);font-size:15px;font-weight:700;letter-spacing:3px;color:var(--acc2);text-transform:uppercase;margin-bottom:8px;padding-bottom:4px;border-bottom:1px solid var(--b1)}
.section{background:var(--s2);border:1px solid var(--b1);padding:12px}
/* ─── MODE TABS ─── */
.mode-tabs{display:flex;gap:3px}
.mode-tab{flex:1;padding:7px 4px;background:var(--s2);border:1px solid var(--b1);color:var(--tx3);font-family:var(--disp);font-size:12px;font-weight:600;letter-spacing:1.5px;cursor:pointer;text-align:center;transition:all 0.15s}
.mode-tab:hover{border-color:var(--acc2);color:var(--tx2)}
.mode-tab.active{background:var(--s3);border-color:var(--acc);color:var(--acc)}
.mode-tabs-sec{margin-top:0}.mode-tabs-sec .mode-tab{padding:4px 4px;font-size:10px;opacity:0.6}.mode-tabs-sec .mode-tab:hover,.mode-tabs-sec .mode-tab.active{opacity:1}
/* ─── FORM ─── */
.fr{display:flex;align-items:center;gap:6px;margin-bottom:7px}
.fr:last-child{margin-bottom:0}
.fr label{font-family:var(--mono);font-size:13px;color:var(--tx2);letter-spacing:1px;min-width:52px;text-transform:uppercase;flex-shrink:0}
.fr input,.fr select{
background:var(--s1);border:1px solid var(--b1);color:var(--tx1);
font-family:var(--mono);font-size:16px;padding:4px 7px;outline:none;
transition:border-color 0.15s;-webkit-appearance:none;
}
.fr input:focus,.fr select:focus{border-color:var(--acc2)}
.fr select option{background:var(--s2)}
.fr .unit{font-family:var(--mono);font-size:13px;color:var(--tx3);flex-shrink:0}
input[type=number]{-moz-appearance:textfield}
input[type=number]::-webkit-inner-spin-button,
input[type=number]::-webkit-outer-spin-button{-webkit-appearance:none}
.w40{width:40px;flex:none}
.w52{width:52px;flex:none}
.w64{width:64px;flex:none}
.w80{width:80px;flex:none}
.wfull{flex:1;min-width:0}
select.dir{width:40px;flex:none}
.dir-toggle{width:40px;flex:none;font-family:var(--mono);font-size:14px;text-align:center;padding:4px 0;background:var(--s2);border:1px solid var(--b1);color:var(--acc);cursor:pointer;user-select:none;letter-spacing:1px}
.dir-toggle:hover{border-color:var(--acc2);background:rgba(200,168,75,0.08)}
/* ─── BUTTONS ─── */
.btn{padding:7px 14px;font-family:var(--disp);font-size:14px;letter-spacing:2px;cursor:pointer;border:1px solid;transition:all 0.15s;text-transform:uppercase;background:transparent}
.btn-acc{border-color:var(--acc);color:var(--acc);width:100%;margin-top:6px}
.btn-acc:hover{background:var(--acc3)}
.btn-ghost{border-color:var(--b2);color:var(--tx2)}
.btn-ghost:hover{border-color:var(--acc2);color:var(--tx1)}
.btn-sm{padding:3px 9px;font-size:13px;letter-spacing:1px}
.btn-danger{border-color:#7a2020;color:var(--red)}
.btn-danger:hover{background:rgba(224,82,82,0.1)}
/* ─── STATUS ─── */
.status{font-family:var(--mono);font-size:15px;padding:7px 10px;border:1px solid;margin-top:7px}
.st-ok{border-color:var(--grn);color:var(--grn);background:rgba(82,201,138,0.05)}
.st-warn{border-color:var(--acc);color:var(--acc);background:var(--acc3)}
.st-err{border-color:var(--red);color:var(--red);background:rgba(224,82,82,0.05)}
/* ─── FIX / MAP ─── */
.fix-panel{background:var(--s2);border:1px solid var(--b1);padding:14px;min-width:0}
.fix-map-wrap{min-width:0;min-height:300px;background:var(--s2);border:1px solid var(--b1);position:relative;overflow:hidden}
.live-toggle{transition:all 0.15s}.live-toggle.active{color:var(--grn)!important;border-color:var(--grn)!important;background:rgba(82,201,138,0.1)!important;box-shadow:0 0 6px rgba(82,201,138,0.25)}
#fixMap{position:absolute;top:0;left:0;right:0;bottom:0;width:100%!important;height:100%!important}
.fix-coords{font-family:var(--mono);font-size:25px;color:var(--acc);margin:10px 0;line-height:1.5}
.fix-coord-lbl{font-size:15px;color:var(--tx2);min-width:36px;display:inline-block}
.fix-detail{font-family:var(--mono);font-size:15px;color:var(--tx2);line-height:1.9;margin-top:6px}
.fix-detail span{color:var(--tx1)}
.q-good{color:var(--grn) !important;font-weight:600}
.q-mod{color:var(--acc) !important;font-weight:600}
.q-poor{color:var(--red) !important;font-weight:600}
.fix-toggle{display:flex;gap:3px;margin-top:10px}
.fix-toggle button{flex:1;padding:4px;font-family:var(--mono);font-size:14px;letter-spacing:1px;cursor:pointer;background:var(--s1);border:1px solid var(--b1);color:var(--tx3);transition:all 0.15s}
.fix-toggle button.active{background:var(--s3);border-color:var(--b2);color:var(--tx1)}
.empty{text-align:center;padding:24px;color:var(--tx3);font-style:italic;font-family:var(--body);font-size:18px}
/* ─── PLOT ─── */
.plot-wrap{background:var(--s2);border:1px solid var(--b1)}
.plot-hdr{padding:7px 12px;border-bottom:1px solid var(--b1);font-family:var(--disp);font-size:15px;font-weight:700;letter-spacing:2px;color:var(--tx3);text-transform:uppercase;display:flex;justify-content:space-between;align-items:center}
canvas#plot{display:block;width:100%;height:280px;cursor:grab}
canvas#plot:active{cursor:grabbing}
/* ─── SIGHT LOG ─── */
.log-area{flex-shrink:0;border-top:1px solid var(--b1);background:var(--s1);max-height:220px;overflow-y:auto;overflow-x:auto}
.log-header{position:sticky;top:0;z-index:2;background:var(--s1);padding:8px 16px 4px;display:flex;justify-content:space-between;align-items:center;border-bottom:1px solid var(--b1)}
.log-title{font-family:var(--disp);font-size:15px;font-weight:700;letter-spacing:3px;color:var(--acc2);text-transform:uppercase}
.log-count{font-family:var(--mono);font-size:14px;color:var(--tx3)}
table{width:100%;border-collapse:collapse;font-family:var(--mono);font-size:15px;white-space:nowrap}
th{padding:4px 10px;color:var(--tx3);font-size:13px;letter-spacing:1px;text-align:left;border-bottom:1px solid var(--b1);background:var(--s1);position:sticky;top:37px;z-index:1}
td{padding:5px 10px;border-bottom:1px solid rgba(26,50,88,0.4);vertical-align:middle}
tr:hover td{background:rgba(255,255,255,0.015)}
.badge{display:inline-block;padding:1px 6px;font-size:13px;letter-spacing:1px;border:1px solid}
.b-int{background:rgba(91,159,214,0.12);color:var(--blu);border-color:rgba(91,159,214,0.3)}
.b-pol{background:rgba(200,168,75,0.12);color:var(--acc);border-color:rgba(200,168,75,0.3)}
.b-trs{background:rgba(82,201,138,0.12);color:var(--grn);border-color:rgba(82,201,138,0.3)}
.b-avg{background:rgba(200,168,75,0.18);color:var(--acc);border-color:rgba(200,168,75,0.4);font-weight:600}
.b-alt{background:rgba(100,149,237,0.12);color:cornflowerblue;border-color:rgba(100,149,237,0.3);font-size:10px;padding:1px 3px}
.avg-prompt{padding:6px 10px;margin-top:6px;font-size:11px;color:var(--tx2);display:flex;align-items:center;gap:8px;flex-wrap:wrap}
.avg-prompt button{font-size:10px;padding:2px 8px}
.toward{color:var(--grn)}.away{color:var(--red)}
/* ─── WORKINGS ─── */
.workings{background:var(--s2);border:1px solid var(--b1)}
.wrk-hdr{padding:7px 12px;border-bottom:1px solid var(--b1);font-family:var(--disp);font-size:15px;font-weight:700;letter-spacing:2px;color:var(--tx3);text-transform:uppercase;cursor:pointer;display:flex;justify-content:space-between}
.wrk-body{padding:12px;font-family:var(--mono);font-size:15px;line-height:2;color:var(--tx2)}
.wrk-body .wk{display:flex;gap:10px}
.wrk-body .wl{color:var(--tx3);min-width:140px}
.wrk-body .wv{color:var(--tx1)}
.wrk-sep{border-top:1px solid var(--b1);margin:4px 0}
.star-dot{width:8px;height:8px;border-radius:50%;display:inline-block;margin-right:4px;vertical-align:middle}
/* ─── LEAFLET DARK OVERRIDES ─── */
.leaflet-control-layers{background:var(--s2)!important;color:var(--tx1)!important;border:1px solid var(--b1)!important}
.leaflet-control-layers label{color:var(--tx2)!important}
.leaflet-control-layers-separator{border-top-color:var(--b1)!important}
.leaflet-control-zoom a{background:var(--s2)!important;color:var(--tx1)!important;border-color:var(--b1)!important}
.leaflet-control-zoom a:hover{background:var(--s3)!important}
.leaflet-control-attribution{background:rgba(6,9,26,0.7)!important;color:var(--tx3)!important;font-size:9px!important}
.leaflet-control-attribution a{color:var(--tx3)!important}
.leaflet-tooltip{background:var(--s2)!important;color:var(--acc)!important;border:1px solid var(--b1)!important;font-family:var(--mono)!important;font-size:13px!important}
.leaflet-tooltip-top:before{border-top-color:var(--b1)!important}
.leaflet-tooltip-bottom:before{border-bottom-color:var(--b1)!important}
/* ─── EDIT BTN ─── */
.btn-edit{border-color:var(--b2);color:var(--blu)}
.btn-edit:hover{background:rgba(91,159,214,0.1)}
/* ─── SKY PLOT ─── */
canvas#skyPlot{background:#07091a;cursor:grab}
canvas#skyPlot:active{cursor:grabbing}
.sky-controls{display:flex;gap:6px;padding:4px 8px;align-items:center;flex-wrap:wrap}
.sky-btn{background:var(--s2);border:1px solid var(--b2);color:var(--tx2);font:11px var(--mono);padding:2px 8px;cursor:pointer;border-radius:2px}
.sky-btn.active{color:var(--acc);border-color:var(--acc)}
.sky-btn:hover{border-color:var(--tx2)}
/* ─── UTILS ─── */
.hidden{display:none!important}
::-webkit-scrollbar{width:3px;height:3px}
::-webkit-scrollbar-track{background:transparent}
::-webkit-scrollbar-thumb{background:var(--b2)}
</style>
</head>
<body>
<header>
<div>
<h1 style="display:inline">✦ CELESTIAL NAVIGATOR</h1> <span style="font-family:var(--mono);font-size:10px;color:rgba(200,168,75,0.4);letter-spacing:1.5px;vertical-align:middle;margin-left:8px">v0.1.120 · 2026-03-25</span>
<div class="hdr-sub">SIGHT REDUCTION · FIX COMPUTATION · SUN · MOON · PLANETS · 58 STARS</div>
<div class="hdr-motto"><em>Seguendo il corso del sole</em></div>
</div>
<div class="hdr-right">
<div class="utc-live" id="utcLive">--:--:-- UTC</div>
<div class="hdr-sub" id="dateDisp">21 MAR 2026</div>
</div>
</header>
<div class="layout">
<!-- ══════ LEFT PANEL ══════ -->
<div class="panel-left">
<div class="mode-tabs">
<button class="mode-tab active" onclick="setMode('intercept')">INTERCEPT</button>
</div>
<div class="mode-tabs mode-tabs-sec">
<button class="mode-tab" onclick="setMode('polaris')">POLARIS</button>
<button class="mode-tab" onclick="setMode('transit')">TRANSIT</button>
<button class="mode-tab" onclick="setMode('lunar')">LUNAR DIST</button>
</div>
<!-- Sextant Setup -->
<div class="section">
<div class="sec-title">SEXTANT CORRECTIONS</div>
<div class="fr"><label>IE</label><input type="number" id="ie" value="0" step="0.1" class="w52"><span class="unit">arcmin (+on / −off arc)</span></div>
<div class="fr"><label>Dip</label>
<select id="dipMode" onchange="onDipModeChange()" style="width:120px">
<option value="sea">Sea level</option>
<option value="alt">Altitude</option>
<option value="artHz">Artificial horizon</option>
</select>
<input type="number" id="hoe" value="1.5" step="0.1" min="0" class="w52">
<span class="unit" id="dipUnit">m</span>
</div>
</div>
<!-- AP (intercept mode) -->
<div class="section" id="apSection">
<div class="sec-title">ASSUMED POSITION</div>
<div class="fr">
<label>LAT</label>
<input type="number" id="apLatD" placeholder="45" min="-90" max="90" class="w40">
<span class="unit">°</span>
<input type="number" id="apLatM" placeholder="00.0" min="0" max="59.9" step="0.1" class="w52">
<span class="unit">'</span>
<button type="button" id="apLatH" class="dir-toggle" value="N" onclick="toggleDir(this,'N','S')">N</button>
</div>
<div class="fr">
<label>LON</label>
<input type="number" id="apLonD" placeholder="0" min="0" max="180" class="w40">
<span class="unit">°</span>
<input type="number" id="apLonM" placeholder="00.0" min="0" max="59.9" step="0.1" class="w52">
<span class="unit">'</span>
<button type="button" id="apLonH" class="dir-toggle" onclick="toggleDir(this,'W','E')">W</button>
</div>
<div class="fr dr-row" style="margin-top:6px;padding-top:6px;border-top:1px solid var(--b1)">
<label style="display:flex;align-items:center;gap:4px;cursor:pointer"><input type="checkbox" id="drEnable"> DR (Running Fix)</label>
</div>
<div class="fr dr-row hidden" id="drFields">
<label>CRS</label><input type="number" id="drCourse" value="0" min="0" max="359" class="w52"><span class="unit">°T</span>
<label style="margin-left:8px">SPD</label><input type="number" id="drSpeed" value="6" min="0" step="0.5" class="w52"><span class="unit">kn</span>
</div>
</div>
<!-- Approx Lon for Polaris a0 -->
<div class="section hidden" id="polLonSection">
<div class="sec-title">APPROX LONGITUDE (for a₀ correction)</div>
<div class="fr">
<label>LON</label>
<input type="number" id="polLonD" placeholder="115" min="0" max="180" class="w40">
<span class="unit">°</span>
<input type="number" id="polLonM" placeholder="00.0" min="0" max="59.9" step="0.1" class="w52">
<span class="unit">'</span>
<button type="button" id="polLonH" class="dir-toggle" onclick="toggleDir(this,'E','W')">E</button>
</div>
</div>
<!-- Sight Entry -->
<div class="section">
<div class="sec-title">SIGHT ENTRY</div>
<div class="fr">
<label>UTC</label>
<input type="datetime-local" id="utcIn" class="wfull">
</div>
<div class="fr">
<label>SECS</label>
<input type="number" id="utcSec" value="0" min="0" max="59" class="w52">
<button type="button" class="btn btn-ghost btn-sm live-toggle" id="liveUtc" onclick="toggleLive()" style="font-size:11px;padding:2px 8px;letter-spacing:1px">LIVE</button>
</div>
<div class="fr" id="starRow">
<label>BODY</label>
<select id="starSel" class="wfull" onchange="onBodyChange()"><option value="">— select body —</option></select>
</div>
<div class="fr hidden" id="limbRow">
<label>LIMB</label>
<select id="limbSel" class="w80">
<option value="lower">Lower</option>
<option value="upper">Upper</option>
<option value="center">Center</option>
</select>
<span class="unit">(semi-diameter correction)</span>
</div>
<div id="moonInfoRow" class="hidden" style="font-size:11px;color:var(--fg2);padding:2px 0 2px 6px;letter-spacing:0.5px"></div>
<div class="fr">
<label>Hs</label>
<input type="number" id="hsDeg" placeholder="22" min="-90" max="90" class="w40">
<span class="unit">°</span>
<input type="number" id="hsMin" placeholder="19.0" min="0" max="59.9" step="0.1" class="w64">
<span class="unit">' (sextant reading)</span>
</div>
<div class="fr hidden" id="lunarRow1">
<label>MOON Hs</label>
<input type="number" id="lunarMoonDeg" placeholder="30" min="0" max="90" class="w40">
<span class="unit">°</span>
<input type="number" id="lunarMoonMin" placeholder="0.0" min="0" max="59.9" step="0.1" class="w64">
<span class="unit">'</span>
</div>
<div class="fr hidden" id="lunarRow2">
<label>BODY Hs</label>
<input type="number" id="lunarBodyDeg" placeholder="45" min="0" max="90" class="w40">
<span class="unit">°</span>
<input type="number" id="lunarBodyMin" placeholder="0.0" min="0" max="59.9" step="0.1" class="w64">
<span class="unit">'</span>
</div>
<div class="fr hidden" id="lunarRow3">
<label>DIST</label>
<input type="number" id="lunarDistDeg" placeholder="45" min="0" max="180" class="w40">
<span class="unit">°</span>
<input type="number" id="lunarDistMin" placeholder="0.0" min="0" max="59.9" step="0.1" class="w64">
<span class="unit">' (limb-to-limb)</span>
</div>
<button class="btn btn-acc" onclick="addSight()">⊕ ADD SIGHT</button>
<div id="sightMsg" class="hidden"></div>
</div>
<div style="margin-top:auto;padding-top:10px;display:flex;flex-direction:column;gap:6px;border-top:1px solid var(--b1)">
<div style="display:flex;gap:6px">
<button class="btn btn-ghost btn-sm" style="flex:1" onclick="loadDemo()">LOAD DEMO</button>
<button class="btn btn-ghost btn-sm" style="flex:1" onclick="clearAll()">CLEAR ALL</button>
</div>
<div style="display:flex;gap:6px">
<button class="btn btn-ghost btn-sm" style="flex:1" onclick="exportSession()">SAVE</button>
<button class="btn btn-ghost btn-sm" style="flex:1" onclick="document.getElementById('importFile').click()">LOAD</button>
</div>
<input type="file" id="importFile" accept=".json" class="hidden" onchange="importSession(this)">
<div style="display:flex;gap:6px">
<button class="btn btn-ghost btn-sm" style="flex:1" onclick="exportCSV()">CSV</button>
<button class="btn btn-ghost btn-sm" style="flex:1" onclick="exportGPX()">GPX</button>
</div>
<a href="almanac.html" class="btn btn-ghost btn-sm" style="text-align:center;text-decoration:none;display:block">ALMANAC GENERATOR</a>
</div>
</div><!-- /panel-left -->
<!-- ══════ RIGHT PANEL (2-column grid) ══════ -->
<div class="panel-right">
<!-- Row 1: Fix Result + Map -->
<div class="rp-row">
<div class="fix-panel">
<div class="sec-title" style="border:none;margin-bottom:4px">COMPUTED FIX</div>
<div id="fixOut"><div class="empty">Add sights to compute a fix</div></div>
<div class="fix-toggle" id="fixToggle">
<button class="active" onclick="setFixMethod('ls')">INTERCEPT LS</button>
<button onclick="setFixMethod('direct')">DIRECT (NO AP)</button>
</div>
</div>
<div class="fix-map-wrap">
<div id="fixMap"></div>
</div>
</div>
<!-- Star Finder -->
<div class="plot-wrap" id="skySection">
<div class="plot-hdr" onclick="toggleSkyPlot()" style="cursor:pointer">
<span>STAR FINDER</span>
<span id="skyToggle">▾</span>
</div>
<div id="skyBody">
<canvas id="skyPlot" width="400" height="400" style="display:block;width:100%;aspect-ratio:1;max-height:520px"></canvas>
<div class="sky-controls">
<button class="sky-btn active" id="skyViewPolar" onclick="setSkyView('polar')">POLAR</button>
<button class="sky-btn" id="skyViewPano" onclick="setSkyView('pano')">PANORAMIC</button>
<span style="color:var(--tx3);font-size:10px;margin-left:4px">|</span>
<button class="sky-btn active" id="skyGridAz" onclick="setSkyGrid('az')">AZIMUTHAL</button>
<button class="sky-btn" id="skyGridEq" onclick="setSkyGrid('eq')">EQUATORIAL</button>
<span style="color:var(--tx3);font-size:10px;margin-left:4px">|</span>
<button class="sky-btn active" id="skyPoleN" onclick="setSkyPole('north')">NCP</button>
<button class="sky-btn" id="skyPoleS" onclick="setSkyPole('south')">SCP</button>
<span style="color:var(--tx3);font-size:10px;margin-left:4px">|</span>
<button class="sky-btn" id="skyConst" onclick="toggleConstellations()" style="display:none">CONSTELLATIONS</button>
<span style="color:var(--tx3);font-size:10px;margin-left:4px">|</span>
<span style="font:10px var(--mono);color:var(--tx3)">ROT</span>
<input type="range" id="skyRotation" min="0" max="360" value="0" style="width:120px;accent-color:var(--acc)" oninput="setSkyRotation(+this.value)">
<span style="flex:1"></span>
<span style="color:var(--tx3);font-size:10px">scroll to zoom · drag to pan · dbl-click reset</span>
</div>
<div id="suggestedStars" style="padding:8px 12px;font-family:var(--mono);font-size:14px;color:var(--tx2)"></div>
</div>
</div>
<!-- Reduction Workings -->
<div class="workings" id="workingsPanel">
<div class="wrk-hdr" onclick="toggleWorkings()">
<span>REDUCTION WORKINGS</span>
<span id="wrkToggleIcon">▾</span>
</div>
<div class="wrk-body" id="wrkBody">
<div style="color:var(--tx3);font-style:italic">Click a sight in the log to show full reduction</div>
</div>
</div>
<!-- LOP Plot -->
<div class="plot-wrap">
<div class="plot-hdr" onclick="toggleLopPlot()" style="cursor:pointer">
<span>LINE OF POSITION PLOT</span>
<span><button id="heatmapBtn" onclick="event.stopPropagation();toggleHeatmap()" style="font:9px 'Share Tech Mono';background:transparent;border:1px solid var(--b1);color:var(--tx3);padding:1px 5px;cursor:pointer;border-radius:3px;margin-right:6px" title="Toggle residual error heatmap">HEATMAP</button><span id="plotScale" style="color:var(--tx3)"></span> <span id="lopToggle">▾</span></span>
</div>
<div id="lopBody">
<canvas id="plot" width="480" height="380"></canvas>
</div>
</div>
</div><!-- /panel-right -->
</div><!-- /layout -->
<!-- ══════ BOTTOM LOG ══════ -->
<div class="log-area">
<div class="log-header">
<span class="log-title">SIGHT LOG</span>
<span class="log-count" id="logCount">0 sights</span>
</div>
<div id="logBody">
<div class="empty" style="padding:20px">No sights entered — select a mode and add your first observation above</div>
</div>
</div>
<script>
// ══════════════════════════════════════════════════════
// STAR DATABASE — 58 Navigational Stars (J2000.0)
// SHA = 360 - RA_hours*15, Dec = degrees N(+)/S(-)
// Data sourced from project catalog (J2000.0 epoch)
// ══════════════════════════════════════════════════════
// 58 navigational stars — J2000.0 epoch (Hipparcos)
// ra0/dec0: J2000.0 position (degrees), pmR/pmD: proper motion (arcsec/year, pmR = μα*cosδ)
const STARS = [
{n:"Acamar", ra0:44.565, dec0:-40.305, pmR:-0.0035, pmD:-0.078, mag:3.2},
{n:"Achernar", ra0:24.429, dec0:-57.237, pmR:0.088, pmD:-0.040, mag:0.5},
{n:"Acrux", ra0:186.650, dec0:-63.099, pmR:-0.035, pmD:-0.012, mag:0.8},
{n:"Adhara", ra0:104.656, dec0:-28.972, pmR:0.003, pmD:0.002, mag:1.5},
{n:"Aldebaran", ra0:68.980, dec0:16.509, pmR:0.063, pmD:-0.190, mag:0.9},
{n:"Alioth", ra0:193.507, dec0:55.960, pmR:0.111, pmD:-0.009, mag:1.8},
{n:"Alkaid", ra0:206.885, dec0:49.313, pmR:-0.121, pmD:-0.015, mag:1.9},
{n:"Alnair", ra0:332.058, dec0:-46.961, pmR:0.127, pmD:-0.148, mag:1.7},
{n:"Alnilam", ra0:84.053, dec0:-1.202, pmR:0.001, pmD:-0.001, mag:1.7},
{n:"Alphard", ra0:141.897, dec0:-8.659, pmR:-0.014, pmD:0.033, mag:2.0},
{n:"Alphecca", ra0:233.672, dec0:26.715, pmR:0.121, pmD:-0.089, mag:2.2},
{n:"Alpheratz", ra0:2.097, dec0:29.090, pmR:0.136, pmD:-0.163, mag:2.1},
{n:"Altair", ra0:297.696, dec0:8.868, pmR:0.536, pmD:0.386, mag:0.8},
{n:"Ankaa", ra0:6.571, dec0:-42.306, pmR:0.233, pmD:-0.356, mag:2.4},
{n:"Antares", ra0:247.352, dec0:-26.432, pmR:-0.010, pmD:-0.023, mag:1.1},
{n:"Arcturus", ra0:213.915, dec0:19.182, pmR:-1.094, pmD:-1.999, mag:-0.1},
{n:"Atria", ra0:252.166, dec0:-69.028, pmR:0.018, pmD:-0.032, mag:1.9},
{n:"Avior", ra0:125.628, dec0:-59.509, pmR:-0.025, pmD:0.014, mag:1.9},
{n:"Bellatrix", ra0:81.283, dec0:6.350, pmR:-0.009, pmD:-0.013, mag:1.6},
{n:"Betelgeuse", ra0:88.793, dec0:7.407, pmR:0.027, pmD:0.011, mag:0.5},
{n:"Canopus", ra0:95.988, dec0:-52.696, pmR:0.019, pmD:0.024, mag:-0.7},
{n:"Capella", ra0:79.172, dec0:45.998, pmR:0.075, pmD:-0.427, mag:0.1},
{n:"Deneb", ra0:310.358, dec0:45.280, pmR:0.002, pmD:0.002, mag:1.3},
{n:"Denebola", ra0:177.265, dec0:14.572, pmR:-0.499, pmD:-0.114, mag:2.1},
{n:"Diphda", ra0:10.897, dec0:-17.987, pmR:0.233, pmD:0.032, mag:2.0},
{n:"Dubhe", ra0:165.932, dec0:61.751, pmR:-0.137, pmD:-0.035, mag:1.8},
{n:"Elnath", ra0:81.573, dec0:28.607, pmR:0.023, pmD:-0.175, mag:1.7},
{n:"Eltanin", ra0:269.152, dec0:51.489, pmR:-0.008, pmD:-0.023, mag:2.2},
{n:"Enif", ra0:326.046, dec0:9.875, pmR:0.026, pmD:-0.001, mag:2.4},
{n:"Fomalhaut", ra0:344.413, dec0:-29.622, pmR:0.329, pmD:-0.165, mag:1.2},
{n:"Gacrux", ra0:187.791, dec0:-57.113, pmR:0.027, pmD:-0.264, mag:1.6},
{n:"Gienah", ra0:183.952, dec0:-17.542, pmR:-0.159, pmD:0.023, mag:2.6},
{n:"Hadar", ra0:210.956, dec0:-60.373, pmR:-0.033, pmD:-0.024, mag:0.6},
{n:"Hamal", ra0:31.793, dec0:23.463, pmR:0.188, pmD:-0.148, mag:2.1},
{n:"Kaus Aus.", ra0:276.043, dec0:-34.385, pmR:-0.039, pmD:-0.124, mag:1.9},
{n:"Kochab", ra0:222.677, dec0:74.156, pmR:-0.032, pmD:0.012, mag:2.1},
{n:"Markab", ra0:346.190, dec0:15.205, pmR:0.061, pmD:-0.043, mag:2.5},
{n:"Menkar", ra0:45.570, dec0:4.090, pmR:-0.006, pmD:-0.078, mag:2.5},
{n:"Menkent", ra0:211.671, dec0:-36.370, pmR:-0.519, pmD:-0.518, mag:2.1},
{n:"Miaplacidus", ra0:138.300, dec0:-69.717, pmR:-0.156, pmD:0.108, mag:1.7},
{n:"Mirfak", ra0:51.081, dec0:49.861, pmR:0.024, pmD:-0.026, mag:1.8},
{n:"Nunki", ra0:283.816, dec0:-26.297, pmR:0.013, pmD:-0.054, mag:2.1},
{n:"Peacock", ra0:306.412, dec0:-56.735, pmR:0.007, pmD:-0.086, mag:1.9},
{n:"Polaris", ra0:37.955, dec0:89.264, pmR:0.044, pmD:-0.012, mag:2.0},
{n:"Pollux", ra0:116.329, dec0:28.026, pmR:-0.625, pmD:-0.046, mag:1.2},
{n:"Procyon", ra0:114.826, dec0:5.225, pmR:-0.715, pmD:-1.037, mag:0.4},
{n:"Rasalhague", ra0:263.734, dec0:12.560, pmR:0.109, pmD:-0.226, mag:2.1},
{n:"Regulus", ra0:152.093, dec0:11.967, pmR:-0.249, pmD:0.006, mag:1.4},
{n:"Rigel", ra0:78.634, dec0:-8.202, pmR:0.001, pmD:-0.001, mag:0.1},
{n:"Rigil Kent", ra0:219.902, dec0:-60.834, pmR:-3.679, pmD:0.474, mag:-0.3},
{n:"Sabik", ra0:257.595, dec0:-15.725, pmR:0.041, pmD:0.097, mag:2.4},
{n:"Schedar", ra0:10.127, dec0:56.537, pmR:0.050, pmD:-0.033, mag:2.2},
{n:"Shaula", ra0:263.402, dec0:-37.104, pmR:-0.008, pmD:-0.030, mag:1.6},
{n:"Sirius", ra0:101.287, dec0:-16.716, pmR:-0.546, pmD:-1.223, mag:-1.5},
{n:"Spica", ra0:201.298, dec0:-11.161, pmR:-0.042, pmD:-0.031, mag:1.0},
{n:"Suhail", ra0:136.999, dec0:-43.433, pmR:-0.024, pmD:0.014, mag:2.2},
{n:"Vega", ra0:279.235, dec0:38.784, pmR:0.201, pmD:0.286, mag:0.0},
{n:"Zubenelg.", ra0:222.720, dec0:-16.042, pmR:-0.106, pmD:-0.069, mag:2.8},
];
// LOP plot colors cycling
const COLORS=['#5b9fd6','#c8a84b','#52c98a','#e05252','#a78bfa','#f97316','#ec4899','#22d3ee','#84cc16','#fb7185'];
// ══════════════════════════════════════════════════════
// ASTRONOMICAL FUNCTIONS
// ══════════════════════════════════════════════════════
const R=Math.PI/180, D=180/Math.PI;
const mod360=x=>((x%360)+360)%360;
const sin=x=>Math.sin(x*R), cos=x=>Math.cos(x*R), asin=x=>Math.asin(x)*D, acos=x=>Math.acos(Math.max(-1,Math.min(1,x)))*D;
function julianDate(d){
let Y=d.getUTCFullYear(),M=d.getUTCMonth()+1,D2=d.getUTCDate();
const h=d.getUTCHours()+d.getUTCMinutes()/60+d.getUTCSeconds()/3600;
if(M<=2){Y--;M+=12;}
const A=Math.floor(Y/100),B=2-A+Math.floor(A/4);
return Math.floor(365.25*(Y+4716))+Math.floor(30.6001*(M+1))+D2+B-1524.5+h/24;
}
// ══════════════════════════════════════════════════════
// NUTATION — top 5 IAU 1980 terms (Meeus Ch. 22)
// Returns {dpsi, deps} in degrees
// ══════════════════════════════════════════════════════
function nutation(date){
const JD=julianDate(date);
const T=(JD-2451545.0)/36525;
// Fundamental arguments (degrees)
const omega=mod360(125.04452-1934.136261*T);
const Ls=mod360(280.4665+36000.7698*T); // Sun mean longitude
const D=mod360(297.8502+445267.1115*T); // Moon mean elongation
const F=mod360(93.2721+483202.0175*T); // Moon argument of latitude
const oR=omega*R, LsR=Ls*R, DR=D*R, FR=F*R;
// Nutation in longitude (arcsec -> degrees)
const dpsi=(-17.20*Math.sin(oR)
-1.32*Math.sin(2*(FR-DR+oR))
-0.23*Math.sin(2*(FR+oR))
+0.21*Math.sin(2*oR)
+0.14*Math.sin(LsR))/3600;
// Nutation in obliquity (arcsec -> degrees)
const deps=(9.20*Math.cos(oR)
+0.57*Math.cos(2*(FR-DR+oR))
+0.10*Math.cos(2*(FR+oR))
-0.09*Math.cos(2*oR))/3600;
return{dpsi,deps};
}
function ghaAries(date){
const JD=julianDate(date);
const dJ=JD-2451545.0;
const T=dJ/36525;
// GMST (mean sidereal time)
const gha=280.46061837+360.98564736629*dJ+0.000387933*T*T-T*T*T/38710000;
// Equation of the equinoxes: GAST = GMST + dpsi*cos(eps) (apparent sidereal time)
const nut=nutation(date);
const eps=(23.439291-0.013004*T+nut.deps)*R;
return mod360(gha+nut.dpsi*Math.cos(eps));
}
// Precess a star from J2000.0 to date, applying proper motion
// Returns {sha, dec} for the given date
function precessStar(star,date){
const JD=julianDate(date);
const T=(JD-2451545.0)/36525; // Julian centuries from J2000.0
const yr=T*100; // years from J2000.0
// Apply proper motion (arcsec/yr → degrees)
const ra0=star.ra0+star.pmR/3600*yr/Math.cos(star.dec0*R);
const dec0=star.dec0+star.pmD/3600*yr;
// IAU 1976 precession angles (Lieske 1979), arcseconds
const zA =(2306.2181*T+1.09468*T*T+0.018203*T*T*T)/3600*R;
const zB =(2306.2181*T+0.30188*T*T+0.017998*T*T*T)/3600*R;
const th =(2004.3109*T-0.42665*T*T-0.041833*T*T*T)/3600*R;
// Convert to Cartesian
const raR=ra0*R, decR=dec0*R;
const x0=Math.cos(decR)*Math.cos(raR);
const y0=Math.cos(decR)*Math.sin(raR);
const z0=Math.sin(decR);
// Rotation matrix P = R3(-z) · R2(θ) · R3(-ζ) (Lieske, passive convention)
// Passive R3(-φ) adds φ to RA: x'=cosφ·x − sinφ·y, y'=sinφ·x + cosφ·y
const cosZA=Math.cos(zA),sinZA=Math.sin(zA);
const cosZB=Math.cos(zB),sinZB=Math.sin(zB);
const cosTh=Math.cos(th),sinTh=Math.sin(th);
// Apply R3(-ζ): shift RA by +ζ
const x1= cosZB*x0-sinZB*y0;
const y1= sinZB*x0+cosZB*y0;
const z1=z0;
// Apply R2(θ): tilt pole
const x2=cosTh*x1-sinTh*z1;
const y2=y1;
const z2=sinTh*x1+cosTh*z1;
// Apply R3(-z): shift RA by +z
const x3= cosZA*x2-sinZA*y2;
const y3= sinZA*x2+cosZA*y2;
const z3=z2;
const dec=Math.asin(Math.max(-1,Math.min(1,z3)))*D;
const ra=mod360(Math.atan2(y3,x3)*D);
// Apply nutation (Meeus Eq. 23.1) — apparent place correction
const nut=nutation(date);
const eps0=23.439291-0.013004*T;
const eps=(eps0+nut.deps)*R;
const raR2=ra*R, decR2=dec*R;
const dRA=nut.dpsi*(Math.cos(eps)+Math.sin(eps)*Math.sin(raR2)*Math.tan(decR2))
-nut.deps*Math.cos(raR2)*Math.tan(decR2);
const dDec=nut.dpsi*Math.sin(eps)*Math.cos(raR2)+nut.deps*Math.sin(raR2);
const raF=mod360(ra+dRA);
const decF=dec+dDec;
return{sha:mod360(360-raF), dec:decF, ra:raF};
}
function ghaStar(star,date){
const p=precessStar(star,date);
return mod360(ghaAries(date)+p.sha);
}
function lhaStar(star,date,lonE){return mod360(ghaStar(star,date)+lonE);}
// Solar position — VSOP87 truncation (Meeus Ch.25 higher accuracy, ~0.01' accuracy)
// Computes Earth's heliocentric longitude via VSOP87 series, converts to geocentric
function solarPosition(date){
const JD=julianDate(date);
const T=(JD-2451545.0)/36525;
const tau=T/10; // Julian millennia from J2000.0
function vSum(terms){let s=0;for(const[A,B,C]of terms)s+=A*Math.cos(B+C*tau);return s;}
// VSOP87 Earth heliocentric longitude — L0 through L5 series
// [amplitude, phase, frequency] in 1e-8 radians
const L0=vSum([
[175347046,0,0],[3341656,4.6693,6283.0758],[34894,4.6261,12566.1517],
[3497,2.7441,5507.5534],[3418,2.8289,3.5232],[3136,3.6277,77713.7715],
[2676,4.4182,7860.4194],[2343,6.1352,3930.2097],[1324,0.7425,11506.7698],
[1273,2.0371,529.6910],[1199,1.1096,1577.3435],[990,5.2327,5884.9268],
[902,2.0450,26.2983],[857,3.5085,398.1490],[780,1.1788,5223.6939],
[753,2.5332,5507.5534],[505,4.5827,18849.2275],[492,4.2051,775.5226],
[357,2.9198,0.0671],[317,5.8490,11790.6291],[284,1.8987,796.2983],
[271,0.3148,10977.0788],[243,0.3449,5486.7778],[206,4.8065,2544.3144],
[205,1.8695,5573.1428],[202,2.4584,6069.7768],[156,0.8331,213.2991],
[132,3.4112,2942.4634],[126,1.0830,20.7754],[115,0.6454,0.9803],
[103,0.6360,4694.0030],[99,6.210,2146.165],[98,0.680,155.420],
[86,5.980,161000.686],[85,1.300,6275.962],[85,3.670,71430.696],
[80,1.810,17260.155],
]);
const L1=vSum([
[628331966747,0,0],[206059,2.6781,6283.0758],[4303,2.6351,12566.1517],
[425,1.590,3.523],[119,5.796,26.298],[109,2.966,1577.344],
[93,2.59,18849.23],[72,1.14,529.69],[68,1.87,398.15],
[67,4.41,5507.55],[59,2.89,5223.69],[56,2.17,155.42],
[45,0.40,796.30],[36,0.47,775.52],[29,2.65,7.11],[21,5.34,0.98],
]);
const L2=vSum([
[52919,0,0],[8720,1.0721,6283.0758],[309,0.867,12566.152],
[27,0.05,3.52],[16,5.19,26.30],
]);
const L3=vSum([[289,5.844,6283.076],[35,0,0],[17,5.49,12566.15]]);
const L4=vSum([[114,3.142,0],[8,4.13,6283.08],[1,3.84,12566.15]]);
const L5=vSum([[1,3.14,0]]);
// Earth heliocentric longitude in radians
let Lrad=(L0+L1*tau+L2*tau*tau+L3*tau*tau*tau+L4*Math.pow(tau,4)+L5*Math.pow(tau,5))*1e-8;
// Convert to degrees, heliocentric → geocentric (add 180°)
let sunLong=mod360(Lrad*D+180);
// FK5 correction
const omega2=(176.002+12036.266*tau)*R;
sunLong-=(0.03916*(Math.cos(omega2)-Math.sin(omega2)))/3600;
// Aberration
sunLong-=20.4898/Math.cos((sunLong*R))*0; // simplified constant aberration
sunLong-=20.4898/3600;
// Nutation + obliquity via shared function
const nut=nutation(date);
sunLong+=nut.dpsi;
const eps0=23.439291-0.013004*T-1.64e-7*T*T+5.04e-7*T*T*T;
const eps=eps0+nut.deps;
const lamR=sunLong*R, epsR=eps*R;
const ra=mod360(Math.atan2(Math.cos(epsR)*Math.sin(lamR),Math.cos(lamR))*D);
const dec=Math.asin(Math.sin(epsR)*Math.sin(lamR))*D;
const sha=mod360(360-ra);
return{ra,dec,sha,gha:mod360(ghaAries(date)-ra),lambda:sunLong};
}
// Planetary positions — Meeus low-precision using Standish (1992) mean elements
// Source: E.M. Standish, "Keplerian Elements for Approximate Positions of the
// Major Planets", Solar System Dynamics Group, JPL/Caltech
// Supports Venus, Mars, Jupiter, Saturn (~1-5' accuracy)
const PLANET_ELEMS={
// [L0 deg, Ldot deg/cy, a AU, e0, edot /cy, i0 deg, idot deg/cy, Om0 deg, Omdot deg/cy, pomega0 deg, pomegadot deg/cy]
Venus: {L0:181.97973,Ld:58517.81539,a:0.72333199,e0:0.00677323,ed:-0.00004938,i0:3.39471,id:-0.00163,O0:76.68069, Od:0.90174, w0:131.53298,wd:0.00864},
Mars: {L0:355.45332,Ld:19140.30268,a:1.52366231,e0:0.09341233,ed:0.00011902, i0:1.85061,id:-0.00652,O0:49.57854, Od:0.77099, w0:336.04084,wd:1.84073},
Jupiter:{L0:34.40438, Ld:3034.90567, a:5.20336301,e0:0.04839266,ed:-0.00012880,i0:1.30530,id:-0.00186,O0:100.55615,Od:1.01744, w0:14.75385, wd:0.16174},
Saturn: {L0:49.94432, Ld:1222.11494, a:9.53707032,e0:0.05415060,ed:-0.00036762,i0:2.48446,id:0.00193, O0:113.71504,Od:0.87594, w0:92.43194, wd:0.16675},
Earth: {L0:100.46435,Ld:36000.76983,a:1.00000011,e0:0.01671022,ed:-0.00003804,i0:0.00005,id:-0.01294,O0:-11.26064,Od:0.18203, w0:102.94719,wd:0.32327},
};
function helioPos(el,T){
const L=mod360(el.L0+el.Ld*T);
const e=el.e0+el.ed*T;
const i=el.i0+el.id*T;
const Om=mod360(el.O0+el.Od*T);
const pomega=mod360(el.w0+el.wd*T);
const M=mod360(L-pomega)*R; // mean anomaly in radians
const omega=(pomega-Om)*R; // arg of perihelion in radians
// Solve Kepler's equation: M = E - e*sin(E)
let E=M;
for(let j=0;j<15;j++){
const dE=(M-E+e*Math.sin(E))/(1-e*Math.cos(E));
E+=dE;
if(Math.abs(dE)<1e-12)break;
}
// True anomaly
const nu=2*Math.atan2(Math.sqrt(1+e)*Math.sin(E/2),Math.sqrt(1-e)*Math.cos(E/2));
const r=el.a*(1-e*Math.cos(E));
// Argument of latitude
const u=omega+nu;
const xp=r*Math.cos(u), yp=r*Math.sin(u);
// Rotate to ecliptic
const OmR=Om*R, iR=i*R;
const cO=Math.cos(OmR),sO=Math.sin(OmR),cI=Math.cos(iR),sI=Math.sin(iR);
return{
x:cO*xp-sO*cI*yp,
y:sO*xp+cO*cI*yp,
z:sI*yp
};
}
function planetPosition(name,date){
const JD=julianDate(date);
const T=(JD-2451545.0)/36525;
const p=helioPos(PLANET_ELEMS[name],T);
const e=helioPos(PLANET_ELEMS.Earth,T);
// Geocentric ecliptic (J2000 frame)
const X=p.x-e.x, Y=p.y-e.y, Z=p.z-e.z;
let lam=Math.atan2(Y,X);
const bet=Math.atan2(Z,Math.sqrt(X*X+Y*Y));
// Precess ecliptic longitude from J2000 to equinox of date
// General precession in longitude: pA ≈ 5029.097" + 2.222"·T per century
const pA=(5029.0966*T+2.22226*T*T)/3600*R; // radians
lam+=pA;
// Nutation + obliquity via shared function
const nut=nutation(date);
lam+=nut.dpsi*R;
const eps0=23.439291-0.013004*T;
const eps=(eps0+nut.deps)*R;
// Ecliptic to equatorial
const ra=mod360(Math.atan2(Math.sin(lam)*Math.cos(eps)-Math.tan(bet)*Math.sin(eps),Math.cos(lam))*D);
const dec=Math.asin(Math.sin(bet)*Math.cos(eps)+Math.cos(bet)*Math.sin(eps)*Math.sin(lam))*D;
const sha=mod360(360-ra);
return{ra,dec,sha,gha:mod360(ghaAries(date)-ra)};
}
// Moon position — Meeus Ch.45 simplified lunar theory
// Returns {ra, dec, sha, gha, dist, HP, SD}
function moonPosition(date){
const JD=julianDate(date);
const T=(JD-2451545.0)/36525;
// Fundamental arguments (degrees)
const Lp=mod360(218.3165+481267.8813*T); // Moon mean longitude
const Dm=mod360(297.8502+445267.1115*T); // Mean elongation
const M =mod360(357.5291+35999.0503*T); // Sun mean anomaly
const Mp=mod360(134.9634+477198.8676*T); // Moon mean anomaly
const F =mod360(93.2721+483202.0175*T); // Argument of latitude
// Additional arguments
const A1=mod360(119.75+131.849*T);
const A2=mod360(53.09+479264.290*T);
const A3=mod360(313.45+481266.484*T);
const E=1-0.002516*T-0.0000074*T*T;
const E2=E*E;
// Periodic terms for longitude (l) and distance (r)
// [D, M, Mp, F, sinCoeff_l, cosCoeff_r]
const LR=[
[0,0,1,0, 6288774,-20905355],[2,0,-1,0, 1274027,-3699111],[2,0,0,0, 658314,-2955968],
[0,0,2,0, 213618,-569925],[0,1,0,0, -185116,48888],[0,0,0,2, -114332,-3149],
[2,0,-2,0, 58793,246158],[2,-1,-1,0, 57066,-152138],[2,0,1,0, 53322,-170733],
[2,-1,0,0, 45758,-204586],[0,1,-1,0, -40923,-129620],[1,0,0,0, -34720,108743],
[0,1,1,0, -30383,104755],[2,0,0,-2, 15327,10321],[0,0,1,2, -12528,0],
[0,0,1,-2, 10980,79661],[4,0,-1,0, 10675,-34782],[0,0,3,0, 10034,-23210],
[4,0,-2,0, 8548,-21636],[2,1,-1,0, -7888,24208],[2,1,0,0, -6766,30824],
[1,0,-1,0, -5163,-8379],[1,1,0,0, 4987,-16675],[2,-1,1,0, 4036,-12831],
[2,0,2,0, 3994,-10445],[4,0,0,0, 3861,-11650],[2,0,-3,0, 3665,14403],
[0,1,-2,0, -2689,-7003],[2,0,-1,2, -2602,0],[2,-1,-2,0, 2390,10056],
[1,0,1,0, -2348,6322],[2,-2,0,0, 2236,-9884],[0,1,2,0, -2120,5751],
[0,2,0,0, -2069,0],[2,-2,-1,0, 2048,-4950],[2,0,1,-2, -1773,4130],
[2,0,0,2, -1595,0],[4,-1,-1,0, 1215,-3958],[0,0,2,2, -1110,0],
[3,0,-1,0, -892,3258],[2,1,1,0, -810,2616],[4,-1,-2,0, 759,-1897],
[0,2,-1,0, -713,-2117],[2,2,-1,0, -700,2354],[2,1,-2,0, 691,0],
[2,-1,0,-2, 596,0],[4,0,1,0, 549,-1423],[0,0,4,0, 537,-1117],
[4,-1,0,0, 520,-1571],[1,0,-2,0, -487,-1739],[2,1,0,-2, -399,0],
[0,0,2,-2, -381,-4421],[1,1,1,0, 351,0],[3,0,-2,0, -340,0],
[4,0,-3,0, 330,0],[2,-1,2,0, 327,0],[0,2,1,0, -323,1165],
[1,1,-1,0, 299,0],[2,0,3,0, 294,0],[2,0,-1,-2, 0,8752],
];
// Periodic terms for latitude (b)
// [D, M, Mp, F, sinCoeff_b]
const B=[
[0,0,0,1, 5128122],[0,0,1,1, 280602],[0,0,1,-1, 277693],[2,0,0,-1, 173237],
[2,0,-1,1, 55413],[2,0,-1,-1, 46271],[2,0,0,1, 32573],[0,0,2,1, 17198],
[2,0,1,-1, 9266],[0,0,2,-1, 8822],[2,-1,0,-1, 8216],[2,0,-2,-1, 4324],
[2,0,1,1, 4200],[2,1,0,-1, -3359],[2,-1,-1,1, 2463],[2,-1,0,1, 2211],
[2,-1,-1,-1, 2065],[0,1,-1,-1, -1870],[4,0,-1,-1, 1828],[0,1,0,1, -1794],
[0,0,0,3, -1749],[0,1,-1,1, -1565],[1,0,0,1, -1491],[0,1,1,1, -1475],
[0,1,1,-1, -1410],[0,1,0,-1, -1344],[1,0,0,-1, -1335],[0,0,3,1, 1107],
[4,0,0,-1, 1021],[4,0,-1,1, 833],
];
let sumL=0, sumR=0, sumB=0;
for(const t of LR){
const arg=(t[0]*Dm+t[1]*M+t[2]*Mp+t[3]*F)*R;
let eF=1;
if(Math.abs(t[1])===1) eF=E;
else if(Math.abs(t[1])===2) eF=E2;
sumL+=t[4]*eF*Math.sin(arg);
sumR+=t[5]*eF*Math.cos(arg);
}
for(const t of B){
const arg=(t[0]*Dm+t[1]*M+t[2]*Mp+t[3]*F)*R;
let eF=1;
if(Math.abs(t[1])===1) eF=E;
else if(Math.abs(t[1])===2) eF=E2;
sumB+=t[4]*eF*Math.sin(arg);
}
// Additive corrections
sumL+=3958*Math.sin(A1*R)+1962*Math.sin((Lp-F)*R)+318*Math.sin(A2*R);
sumB+=-2235*Math.sin(Lp*R)+382*Math.sin(A3*R)+175*Math.sin((A1-F)*R)
+175*Math.sin((A1+F)*R)+127*Math.sin((Lp-Mp)*R)-115*Math.sin((Lp+Mp)*R);
const lambda=Lp+sumL/1000000; // ecliptic longitude (degrees)
const beta=sumB/1000000; // ecliptic latitude (degrees)
const dist=385000.56+sumR/1000; // distance in km
// Nutation + obliquity via shared function
const nut=nutation(date);
const lamCorr=lambda+nut.dpsi;
// Obliquity
const eps0=23.439291-0.013004*T;
const eps=eps0+nut.deps;
// Ecliptic to equatorial
const lamR=lamCorr*R, betR=beta*R, epsR=eps*R;
const ra=mod360(Math.atan2(Math.sin(lamR)*Math.cos(epsR)-Math.tan(betR)*Math.sin(epsR),Math.cos(lamR))*D);
const dec=Math.asin(Math.sin(betR)*Math.cos(epsR)+Math.cos(betR)*Math.sin(epsR)*Math.sin(lamR))*D;
const sha=mod360(360-ra);
const gha=mod360(ghaAries(date)-ra);
// Horizontal parallax and semi-diameter
const HP=Math.asin(6378.14/dist)*D*60; // arcminutes
const SD=0.2725*HP; // arcminutes
return{ra,dec,sha,gha,dist,HP,SD,lambda:lamCorr};
}
// ══════════════════════════════════════════════════════
// MOON PHASE & ILLUMINATION
// ══════════════════════════════════════════════════════
function moonPhase(date){
const sun=solarPosition(date);
const moon=moonPosition(date);
// Elongation = difference in ecliptic longitude (0-360°)
const D=mod360(moon.lambda-sun.lambda);
const illumination=(1-Math.cos(D*R))/2*100; // percent
const phase=D/360; // 0-1 cycle
const age=phase*29.53059; // days since new moon
// Phase name from 8 bins of 45° each
const NAMES=['New','Waxing Crescent','First Quarter','Waxing Gibbous',
'Full','Waning Gibbous','Last Quarter','Waning Crescent'];
const name=NAMES[Math.round(D/45)%8];
return{phase,illumination,age,name};
}
// ══════════════════════════════════════════════════════
// LUNAR DISTANCE
// ══════════════════════════════════════════════════════
// Geocentric angular distance between Moon and another body
function geocentricLunarDist(utc, bodyName){
const moon=moonPosition(utc);
let other;
if(bodyName==='Sun') other=solarPosition(utc);
else if(['Venus','Mars','Jupiter','Saturn'].includes(bodyName))
other=planetPosition(bodyName,utc);
else{
const raw=STARS.find(s=>s.n===bodyName);
if(!raw) return NaN;
other=precessStar(raw,utc);
}
const d1=moon.dec*R, a1=mod360(360-moon.sha)*R;
const d2=other.dec*R, a2=mod360(360-(other.sha||mod360(360-other.ra)))*R;
const cosD=Math.sin(d1)*Math.sin(d2)+Math.cos(d1)*Math.cos(d2)*Math.cos(a1-a2);
return Math.acos(Math.max(-1,Math.min(1,cosD)))*D;
}
// Clear observed lunar distance: remove refraction + parallax from both altitudes
// Method: extract azimuth difference from apparent observations, then recompute
// distance using true altitudes (azimuth is unaffected by refraction/parallax)
function clearLunarDist(dObs, moonAltApp, bodyAltApp, moonHP){
const hm=moonAltApp, hb=bodyAltApp;
// True altitudes: refraction() returns negative arcmin
const moonRef=refraction(hm);
const bodyRef=refraction(hb);
const moonPar=moonHP*Math.cos(hm*R); // parallax (arcmin, positive)
const hmTrue=hm+moonRef/60+moonPar/60;
const hbTrue=hb+bodyRef/60;
// Extract azimuth difference from apparent distance + apparent altitudes
const hmR=hm*R, hbR=hb*R;
const cosA=(Math.cos(dObs*R)-Math.sin(hmR)*Math.sin(hbR))/(Math.cos(hmR)*Math.cos(hbR));
// Recompute distance using true altitudes, same azimuth difference
const hmtR=hmTrue*R, hbtR=hbTrue*R;
const cosD=Math.sin(hmtR)*Math.sin(hbtR)+Math.cos(hmtR)*Math.cos(hbtR)*cosA;
return Math.acos(Math.max(-1,Math.min(1,cosD)))*D;
}
// Find GMT from cleared lunar distance by interpolation
function lunarDistToGMT(clearedDist, bodyName, approxUTC){
// Compute geocentric distances at 1-hour intervals, ±12 hours
const points=[];
for(let i=-12;i<=12;i++){
const t=new Date(approxUTC.getTime()+i*3600000);
const d=geocentricLunarDist(t,bodyName);
if(!isNaN(d)) points.push({t:t.getTime(),d});
}
if(points.length<2) return null;
// Find bracketing interval where distance crosses clearedDist
for(let i=0;i<points.length-1;i++){
const a=points[i], b=points[i+1];
if((a.d-clearedDist)*(b.d-clearedDist)<=0){
// Linear interpolation then refine with bisection
let lo=a.t, hi=b.t;
for(let j=0;j<20;j++){
const mid=(lo+hi)/2;
const midD=geocentricLunarDist(new Date(mid),bodyName);
if((midD-clearedDist)*(geocentricLunarDist(new Date(lo),bodyName)-clearedDist)>0) lo=mid;
else hi=mid;
}
return new Date((lo+hi)/2);
}
}
// No crossing found — distance monotonically increasing/decreasing, try closest
return null;
}
// ══════════════════════════════════════════════════════
// RISE / SET
// ══════════════════════════════════════════════════════
function riseSet(dec_deg, lat_deg, h0_deg){
const cosH=(Math.sin(h0_deg*R)-Math.sin(lat_deg*R)*Math.sin(dec_deg*R))/(Math.cos(lat_deg*R)*Math.cos(dec_deg*R));
if(cosH>1) return {neverRises:true};
if(cosH<-1) return {neverSets:true};
return Math.acos(cosH)*D/15;
}
function bodyRiseSet(date, lat, posFn, h0, lon){
const lonHr=(lon||0)/15; // longitude offset in hours (east = positive)
const noon=new Date(date);noon.setUTCHours(12,0,0,0);
const pos=posFn(noon);
const transit=12-lonHr; // approximate transit in UTC
const rs=riseSet(pos.dec,lat,h0);
if(typeof rs==='object'){
return{rise:null,set:null,transit,alwaysUp:!!rs.neverSets,neverUp:!!rs.neverRises};
}
return{rise:transit-rs,set:transit+rs,transit,alwaysUp:false,neverUp:false};
}
function moonRiseSet(date, lat, lon){
const h0=0.125;
const lonDeg=lon||0;
const base=new Date(date);base.setUTCHours(0,0,0,0);
const alts=[];
for(let h=0;h<=24;h+=2){
const t=new Date(base.getTime()+h*3600000);
const moon=moonPosition(t);
const lha=mod360(ghaAries(t)+moon.sha+lonDeg);
const alt=Math.asin(Math.sin(lat*R)*Math.sin(moon.dec*R)+Math.cos(lat*R)*Math.cos(moon.dec*R)*Math.cos(lha*R))*D;
alts.push({h,alt});
}
const events=[];
for(let i=0;i<alts.length-1;i++){
const a1=alts[i].alt-h0, a2=alts[i+1].alt-h0;
if(a1*a2<0){
let lo=alts[i].h, hi=alts[i+1].h;
for(let j=0;j<8;j++){
const mid=(lo+hi)/2;
const t=new Date(base.getTime()+mid*3600000);
const m=moonPosition(t);
const lha2=mod360(ghaAries(t)+m.sha+lonDeg);
const altMid=Math.asin(Math.sin(lat*R)*Math.sin(m.dec*R)+Math.cos(lat*R)*Math.cos(m.dec*R)*Math.cos(lha2*R))*D;
if((altMid-h0)*a1>0) lo=mid; else hi=mid;
}
events.push({time:(lo+hi)/2, type:a1<0?'rise':'set'});
}
}
if(events.length===0){
const allAbove=alts.every(a=>a.alt>h0);
return{rise:null,set:null,transit:null,alwaysUp:allAbove,neverUp:!allAbove};
}
const rise=events.find(e=>e.type==='rise');
const set=events.find(e=>e.type==='set');
let maxAlt=-999,transitH=12;
alts.forEach(a=>{if(a.alt>maxAlt){maxAlt=a.alt;transitH=a.h;}});
return{rise:rise?rise.time:null,set:set?set.time:null,transit:transitH,alwaysUp:false,neverUp:false};
}
// Bennett refraction formula — arcminutes, altitude in degrees
function refraction(alt){
if(alt<-1)return 0;
return -1.02/Math.tan((alt+10.3/(alt+5.11))*R);
}
// Dip correction — arcminutes