Planetary Ruler Calculator

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Planetary Ruler Calculator

Find the planetary ruler for a given date/time (planetary hour), day of the week, or zodiac sign using classical Chaldean order and modern astrology.

Calculation Mode

Day Ruler Planetary Hour Ruler Zodiac Sign Ruler

Date

Local Time (HH:MM)

Latitude (°, for sunrise calc)

Longitude (°, negative = West)

Zodiac Sign

Aries Taurus Gemini Cancer Leo Virgo Libra Scorpio Sagittarius Capricorn Aquarius Pisces

Calculate

(function(){

// ── Constants ──────────────────────────────────────────────────────────────

// Chaldean order (slowest to fastest): Saturn, Jupiter, Mars, Sun, Venus, Mercury, Moon const CHALDEAN = ["Saturn","Jupiter","Mars","Sun","Venus","Mercury","Moon"]; const CHALDEAN_SYMBOL = { Saturn:"♄", Jupiter:"♃", Mars:"♂", Sun:"☉", Venus:"♀", Mercury:"☿", Moon:"☽" }; const CHALDEAN_COLOR = { Saturn:"#607d8b", Jupiter:"#7b1fa2", Mars:"#c62828", Sun:"#f9a825", Venus:"#2e7d32", Mercury:"#00838f", Moon:"#455a64" };

// Day rulers (Sunday=0 … Saturday=6) — derived from Chaldean order // Each day is ruled by the planet whose hour 1 falls on that day. // Sunday→Sun(3), Monday→Moon(6), Tuesday→Mars(2), Wednesday→Mercury(5), // Thursday→Jupiter(1), Friday→Venus(4), Saturday→Saturn(0) const DAY_RULER_IDX = [3, 6, 2, 5, 1, 4, 0]; // index into CHALDEAN

// Classical sign rulers (traditional) const SIGN_RULER_CLASSICAL = [ "Mars","Venus","Mercury","Moon","Sun","Mercury", "Venus","Mars","Jupiter","Saturn","Saturn","Jupiter" ]; // Modern sign rulers const SIGN_RULER_MODERN = [ "Mars","Venus","Mercury","Moon","Sun","Mercury", "Venus","Pluto","Jupiter","Saturn","Uranus","Neptune" ]; const SIGN_NAMES = [ "Aries","Taurus","Gemini","Cancer","Leo","Virgo", "Libra","Scorpio","Sagittarius","Capricorn","Aquarius","Pisces" ]; const SIGN_SYMBOL = ["♈","♉","♊","♋","♌","♍","♎","♏","♐","♑","♒","♓"];

// ── UI toggle ────────────────────────────────────────────────────────────── window.plaToggleMode = function(){ const mode = document.getElementById("pla-mode").value; document.getElementById("pla-datetime-group").style.display = (mode === "day" || mode === "hour") ? "" : "none"; document.getElementById("pla-time-group").style.display = mode === "hour" ? "" : "none"; document.getElementById("pla-lat-group").style.display = mode === "hour" ? "" : "none"; document.getElementById("pla-lng-group").style.display = mode === "hour" ? "" : "none"; document.getElementById("pla-sign-group").style.display = mode === "sign" ? "" : "none"; document.getElementById("pla-result").style.display = "none"; };

// Set today's date as default const today = new Date(); const yyyy = today.getFullYear(); const mm = String(today.getMonth()+1).padStart(2,"0"); const dd = String(today.getDate()).padStart(2,"0"); document.getElementById("pla-date").value = yyyy+"-"+mm+"-"+dd;

// ── Sunrise calculation (NOAA simplified) ───────────────────────────────── // Returns sunrise hour (decimal, local solar time offset from midnight) function calcSunrise(year, month, day, lat, lng){ // Julian Day Number const JD = 367year - Math.floor(7(year+Math.floor((month+9)/12))/4) + Math.floor(275*month/9) + day + 1721013.5; const n = JD - 2451545.0; // days since J2000.0

// Mean longitude & anomaly (degrees) const L = (280.460 + 0.9856474n) % 360; const g = ((357.528 + 0.9856003n) % 360) * Math.PI/180;

// Ecliptic longitude const lambda = (L + 1.915Math.sin(g) + 0.020Math.sin(2*g)) * Math.PI/180;

// Obliquity & declination const eps = 23.439 * Math.PI/180; const sinDec = Math.sin(eps)*Math.sin(lambda); const dec = Math.asin(sinDec);

// Hour angle at sunrise (zenith = 90.833°) const cosH = (Math.cos(90.833Math.PI/180) - Math.sin(latMath.PI/180)sinDec) / (Math.cos(latMath.PI/180)*Math.cos(dec));

if(cosH 1) return 12; // polar night — noon fallback

const H = Math.acos(cosH) * 180/Math.PI; // degrees

// Equation of time (minutes) const B = (360/365)(n-81)Math.PI/180; const EoT = 9.87Math.sin(2B) - 7.53Math.cos(B) - 1.5Math.sin(B);

// Longitude correction (minutes) const lngCorr = 4*(lng % 15); // minutes per degree × remainder

// Sunrise in local clock hours (approximate) const sunriseUTC = 12 - H/15 - EoT/60; const sunriseLocal = sunriseUTC + lng/15; // rough local solar time return ((sunriseLocal % 24) + 24) % 24; }

// ── Planetary Hour calculation ───────────────────────────────────────────── // Planetary hours: 12 day hours + 12 night hours, each 1/12 of their period. // Hour 1 of the day is ruled by the day ruler. // Subsequent hours follow Chaldean order cyclically. function getPlanetaryHour(date, timeH, lat, lng){ const dow = date.getDay(); // 0=Sun const dayRulerIdx = DAY_RULER_IDX[dow];

const year = date.getFullYear(); const month = date.getMonth()+1; const day = date.getDate();

const sunrise = calcSunrise(year, month, day, lat, lng);

// Approximate sunset: sunrise + 12h (simplified; accurate within ~30 min) // Better: use negative lat for sunset hour angle const cosH_set = (Math.cos(90.833Math.PI/180) - Math.sin(latMath.PI/180)Math.sin(Math.asin( Math.sin(23.439Math.PI/180)Math.sin( (280.460+0.9856474( 367year-Math.floor(7(year+Math.floor((month+9)/12))/4) +Math.floor(275month/9)+day+1721013.5-2451545)Math.PI/180 ) ) ))) / (Math.cos(latMath.PI/180)Math.cos(Math.asin( Math.sin(23.439Math.PI/180)Math.sin( (280.460+0.9856474( 367year-Math.floor(7(year+Math.floor((month+9)/12))/4) +Math.floor(275month/9)+day+1721013.5-2451545)Math.PI/180 ) ) )))); let sunsetH; if(cosH_set 1) sunsetH = 12; else { const H_set = Math.acos(cosH_set)180/Math.PI; const n2 = 367year-Math.floor(7(year+Math.floor((month+9)/12))/4) +Math.floor(275month/9)+day+1721013.5-2451545; const B2 = (360/365)(n2-81)Math.PI/180; const EoT2 = 9.87Math.sin(2B2)-7.53Math.cos(B2)-1.5*Math.sin(B2); sunsetH = ((12 + H_set/15 - EoT2/60 + lng/15) % 24 + 24) % 24; }

const dayLen = ((sunsetH - sunrise) + 24) % 24; // hours of daylight const nightLen = 24 - dayLen; const dayHourLen = dayLen / 12; const nightHourLen = nightLen / 12;

let hourNumber; // 1-based, 1-24 let periodLabel; if(timeH >= sunrise && timeH = sunsetH) elapsed = timeH - sunsetH; else elapsed = (timeH + 24) - sunsetH; hourNumber = Math.floor(elapsed / nightHourLen) + 13; // 13–24 periodLabel = "Night"; }

// Planet for this hour: (dayRulerIdx + hourNumber - 1) mod 7 const planetIdx = (dayRulerIdx + hourNumber - 1) % 7; const planet = CHALDEAN[planetIdx];

return { planet, hourNumber, periodLabel, sunrise: sunrise.toFixed(2), sunset: sunsetH.toFixed(2), dayHourLen: (dayHourLen60).toFixed(1), nightHourLen: (nightHourLen60).toFixed(1) }; }

// ── Main calculation ─────────────────────────────────────────────────────── window.plaCalc = function(){ const mode = document.getElementById("pla-mode").value; const resultDiv = document.getElementById("pla-result"); let html = "";

try { if(mode === "day"){ const dateStr = document.getElementById("pla-date").value; if(!dateStr){ throw new Error("Please select a date."); } const parts = dateStr.split("-"); const date = new Date(+parts[0], +parts[1]-1, +parts[2]); const dow = date.getDay(); const idx = DAY_RULER_IDX[dow]; const planet = CHALDEAN[idx]; const dayNames = ["Sunday","Monday","Tuesday","Wednesday","Thursday","Friday","Saturday"]; html = buildPlanetCard(planet, "Day: "+dayNames[dow]+""+ "Date: "+dateStr, "Day Ruler" );

} else if(mode === "hour"){ const dateStr = document.getElementById("pla-date").value; const timeStr = document.getElementById("pla-time").value; const lat = parseFloat(document.getElementById("pla-lat").value); const lng = parseFloat(document.getElementById("pla-lng").value);

if(!dateStr) throw new Error("Please select a date."); if(!timeStr) throw new Error("Please enter a time."); if(isNaN(lat)||lat90) throw new Error("Latitude must be between -90 and 90."); if(isNaN(lng)||lng180) throw new Error("Longitude must be between -180 and 180.");

const parts = dateStr.split("-"); const date = new Date(+parts[0], +parts[1]-1, +parts[2]); const timeParts = timeStr.split(":"); const timeH = +timeParts[0] + +timeParts[1]/60;

const res = getPlanetaryHour(date, timeH, lat, lng); const hourLabel = res.hourNumber "+ "Period: "+res.periodLabel+""+ "Planetary Hour: "+hourLabel+""+ "Sunrise: "+decToTime(+res.sunrise)+" local solar"+ "Sunset: "+decToTime(+res.sunset)+" local solar"+ "Day hour length: "+res.dayHourLen+" min"+ "Night hour length: "+res.nightHourLen+" min", "Planetary Hour Ruler" );

} else if(mode === "sign"){ const signIdx = parseInt(document.getElementById("pla-sign").value); const classical = SIGN_RULER_CLASSICAL[signIdx]; const modern = SIGN_RULER_MODERN[signIdx]; const signName = SIGN_NAMES[signIdx]; const signSym = SIGN_SYMBOL[signIdx];

html = ` ${signSym} ${signName}

${buildMiniCard(classical,"Classical Ruler")} ${buildMiniCard(modern,"Modern Ruler")}

`; }

} catch(e){ html = ⚠ ${e.message}; }

resultDiv.innerHTML = html; resultDiv.style.display = "block"; };

// ── Helpers ──────────────────────────────────────────────────────────────── function decToTime(h){ const hh = Math.floor(((h%24)+24)%24); const mm = Math.round((h - Math.floor(h))*60); return String(hh).padStart(2,"0")+":"+String(mm).padStart(2,"0"); }

function buildPlanetCard(planet, details, label){ const sym = CHALDEAN_SYMBOL[planet] || "★"; const col = CHALDEAN_COLOR[planet] || "#333"; return ${label} ${sym} ${planet} ${details}; }

function buildMiniCard(planet, label){ const sym = CHALDEAN_SYMBOL[planet] || "★"; const col = CHALDEAN_COLOR[planet] || "#333"; return ${label} ${sym} ${planet}; }

})();

#### Formulas Used

Day Ruler: Each weekday is assigned a planetary ruler based on the Chaldean order (Saturn→Jupiter→Mars→Sun→Venus→Mercury→Moon). The ruler of each day is the planet governing its first hour: Sun(Sunday), Moon(Monday), Mars(Tuesday), Mercury(Wednesday), Jupiter(Thursday), Venus(Friday), Saturn(Saturday).

Planetary Hour Ruler:

• Sunrise is computed via the NOAA simplified solar algorithm using Julian Day Number, solar mean longitude, mean anomaly, ecliptic longitude, solar declination, and the hour-angle formula: cos H = (cos 90.833° − sin φ · sin δ) / (cos φ · cos δ)
• Day is divided into 12 equal hours of length daylight / 12; night into 12 equal hours of length (24 − daylight) / 12.
• The ruling planet for hour n (1-based) = CHALDEAN[(dayRulerIndex + n − 1) mod 7]

Zodiac Sign Ruler: Classical rulers follow traditional Hellenistic astrology (Mars, Venus, Mercury, Moon, Sun, Mercury, Venus, Mars, Jupiter, Saturn, Saturn, Jupiter). Modern rulers substitute Pluto (Scorpio), Uranus (Aquarius), Neptune (Pisces).

#### Assumptions & References

• Time input is treated as local solar time (not timezone-adjusted clock time); for precise results, convert your clock time to local solar time using your UTC offset and longitude.
• Chaldean order source: Vettius Valens, Anthologiae (2nd century CE); Ptolemy, Tetrabiblos.
• Reference: NOAA Solar Calculator — https://gml.noaa.gov/grad/solcalc/

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