{"id":"vidhyamitra:city-day:perth:2168-12-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/perth/2168-12-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2168-12-20","date_display":"December 20, 2168 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2168,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513259.770833,"kali_year":5270,"ahargana":1924794.2708,"sun":{"sidereal_longitude":241.7182,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":129.0075,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":247.2893,"elapsed_within_tithi_degrees":7.2893},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":129.0075,"elapsed_within_degrees":9.0075},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":10.7257},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":2168,"month":12,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2513259.770833,"ahargana":1924794.2708,"kali_year":5270,"ayanamsa_lahiri":26.2134,"grahas":{"sun":{"sidereal_longitude":242.478652,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":133.17985199999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false,"latitude":3.6333},"mars":{"sidereal_longitude":253.0426520000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":236.1721520000001,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":109.23815200000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":285.39515200000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":282.099152,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":75.1368,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":255.1368,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2168,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513259.770833,"kali_year":5270,"ahargana":1924794.2708,"sun":{"sidereal_longitude":241.7182,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":129.0075,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":247.2893,"elapsed_within_tithi_degrees":7.2893},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":129.0075,"elapsed_within_degrees":9.0075},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":10.7257},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.633,"elongation":112.711},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.633,"opposition_distance":67.289}},"eclipse_window_40days":[{"offset_days":-5,"type":"lunar","occurs":true,"moon_latitude":-1.424,"opposition_distance":0.344},{"offset_days":9,"type":"solar","occurs":true,"moon_latitude":0.456,"elongation":2.131}]},"city":{"slug":"perth","name":"Perth, Australia","lat":-31.9505,"lon":115.8605,"tz_offset_hours":8,"country":"AU","tier":"diaspora"},"tier2":{"city":{"slug":"perth","name":"Perth, Australia","lat":-31.9505,"lon":115.8605,"tz_offset_hours":8,"country":"AU","tier":"diaspora"},"sunriseLocal":"05:08","sunsetLocal":"19:22","solarNoonLocal":"12:15","dayLengthHours":14.239324624432065,"dayLengthDisplay":"14 Hours 14 Mins 22 Secs","nightLengthDisplay":"9 Hours 45 Mins 38 Secs","moonriseLocal":"23:15","moonsetLocal":"10:40","rahuKala":{"name":"Rāhu Kāla","start":"15:48","end":"17:35","startHours":15.804932530733534,"endHours":17.584848108787543,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:41","end":"10:28","startHours":8.685270218517502,"endHours":10.465185796571511,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:15","end":"14:02","startHours":12.24510137462552,"endHours":14.025016952679529,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:27","end":"08:55","startHours":8.447948141443636,"endHours":8.92259229559137,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:43","end":"06:06","startHours":5.718744255094156,"endHours":6.098459578412344,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:43","startHours":11.770457220477784,"endHours":12.719745528773256,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:14","end":"04:11","startHours":3.2268624458185444,"endHours":4.1761507541140155,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:56","end":"05:08","startHours":3.938828677040148,"endHours":5.1254390624094865,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:37","end":"15:34","startHours":14.618322145364196,"endHours":15.567610453659666,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:10","end":"19:34","startHours":19.164763686841553,"endHours":19.56476368684155,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:22","end":"19:57","startHours":19.364763686841552,"endHours":19.958068879526223,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:07","end":"20:52","startHours":19.114763686841552,"endHours":20.864763686841552,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:43","startHours":23.770457220477784,"endHours":24.719745528773256,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:08","end":"06:54","startHours":5.1254390624094865,"endHours":6.905354640463495,"quality":"inauspicious"},{"name":"Udveg","start":"06:54","end":"08:41","startHours":6.905354640463495,"endHours":8.685270218517502,"quality":"inauspicious"},{"name":"Chala","start":"08:41","end":"10:28","startHours":8.685270218517502,"endHours":10.465185796571511,"quality":"neutral"},{"name":"Labha","start":"10:28","end":"12:15","startHours":10.465185796571511,"endHours":12.24510137462552,"quality":"auspicious"},{"name":"Amṛta","start":"12:15","end":"14:02","startHours":12.24510137462552,"endHours":14.025016952679529,"quality":"auspicious"},{"name":"Kāla","start":"14:02","end":"15:48","startHours":14.025016952679529,"endHours":15.804932530733534,"quality":"inauspicious"},{"name":"Śubha","start":"15:48","end":"17:35","startHours":15.804932530733534,"endHours":17.584848108787543,"quality":"auspicious"},{"name":"Roga","start":"17:35","end":"19:22","startHours":17.584848108787543,"endHours":19.364763686841552,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:22","end":"20:35","startHours":19.364763686841552,"endHours":20.584848108787543,"quality":"inauspicious"},{"name":"Śubha","start":"20:35","end":"21:48","startHours":20.584848108787543,"endHours":21.804932530733538,"quality":"auspicious"},{"name":"Roga","start":"21:48","end":"23:02","startHours":21.804932530733538,"endHours":23.02501695267953,"quality":"inauspicious"},{"name":"Udveg","start":"23:02","end":"00:15","startHours":23.02501695267953,"endHours":24.24510137462552,"quality":"inauspicious"},{"name":"Chala","start":"00:15","end":"01:28","startHours":24.24510137462552,"endHours":25.46518579657151,"quality":"neutral"},{"name":"Labha","start":"01:28","end":"02:41","startHours":25.46518579657151,"endHours":26.685270218517502,"quality":"auspicious"},{"name":"Amṛta","start":"02:41","end":"03:54","startHours":26.685270218517502,"endHours":27.905354640463496,"quality":"auspicious"},{"name":"Kāla","start":"03:54","end":"05:08","startHours":27.905354640463496,"endHours":29.125439062409487,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:08","end":"06:08","startHours":5.1254390624094865,"endHours":6.1254390624094865,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:08","end":"07:08","startHours":6.1254390624094865,"endHours":7.1254390624094865,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:08","end":"08:08","startHours":7.1254390624094865,"endHours":8.125439062409487,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:08","end":"09:08","startHours":8.125439062409487,"endHours":9.125439062409487,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:08","end":"10:08","startHours":9.125439062409487,"endHours":10.125439062409487,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:08","end":"11:08","startHours":10.125439062409487,"endHours":11.125439062409487,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:08","end":"12:08","startHours":11.125439062409487,"endHours":12.125439062409487,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:08","end":"13:08","startHours":12.125439062409487,"endHours":13.125439062409487,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:08","end":"14:08","startHours":13.125439062409487,"endHours":14.125439062409487,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:08","end":"15:08","startHours":14.125439062409487,"endHours":15.125439062409487,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:08","end":"16:08","startHours":15.125439062409487,"endHours":16.125439062409487,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:08","end":"17:08","startHours":16.125439062409487,"endHours":17.125439062409487,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:08","end":"18:08","startHours":17.125439062409487,"endHours":18.125439062409487,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:08","end":"19:08","startHours":18.125439062409487,"endHours":19.125439062409487,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:08","end":"20:08","startHours":19.125439062409487,"endHours":20.125439062409487,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:08","end":"21:08","startHours":20.125439062409487,"endHours":21.125439062409487,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:08","end":"22:08","startHours":21.125439062409487,"endHours":22.125439062409487,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:08","end":"23:08","startHours":22.125439062409487,"endHours":23.125439062409487,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:08","end":"00:08","startHours":23.125439062409487,"endHours":24.125439062409487,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:08","end":"01:08","startHours":24.125439062409487,"endHours":25.125439062409487,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:08","end":"02:08","startHours":25.125439062409487,"endHours":26.125439062409487,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:08","end":"03:08","startHours":26.125439062409487,"endHours":27.125439062409487,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:08","end":"04:08","startHours":27.125439062409487,"endHours":28.125439062409487,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:08","end":"05:08","startHours":28.125439062409487,"endHours":29.125439062409487,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"West","rahuVasa":"North","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.430028825343946,"eotMinutes":1.851917522468745,"ayanamsa":26.2134}},"calendars":{"vikram_samvat":2225,"vikram_samvatsara":"Vṛṣa","saka_samvat":2090,"saka_samvatsara":"Vibhava","bengali_samvat":1575,"malayalam_era":1344,"nanakshahi_year":699,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Ṣaṣṭhī · Vikram 2225 Vṛṣa · Śaka 2090 Vibhava"},"festivals":[],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"perth"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 20, 2168 CE · Perth, Australia · Vidhyamitra","description":"December 20, 2168 CE for Perth, Australia: Kṛṣṇa Ṣaṣṭhī, sūryodaya 05:08, sūryāsta 19:22.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/perth/2168-12-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/perth/2168-12-20","sa":"https://sa.vidhyamitra.com/city/perth/2168-12-20","hi":"https://hi.vidhyamitra.com/city/perth/2168-12-20","x-default":"https://vidhyamitra.com/city/perth/2168-12-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T23:11:56.839Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-06-01T23:11:56.839Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T23:11:56.839Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}