{"id":"vidhyamitra:city-day:ranchi:2175-12-19:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2175-12-19","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2175-12-19","date_display":"December 19, 2175 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":2175,"month":12,"day":19,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2515814.770833,"kali_year":5277,"ahargana":1927349.2708,"sun":{"sidereal_longitude":239.8592,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":308.6728,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":68.8136,"elapsed_within_tithi_degrees":8.8136},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1,"moon_longitude":308.6728,"elapsed_within_degrees":2.0061},"yoga":{"number":15,"name":"Vajra","sum_longitude":188.5319},"karana":{"half_tithi_index":11,"name":"Taitila"},"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":2175,"month":12,"day":19,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2515814.770833,"ahargana":1927349.2708,"kali_year":5277,"ayanamsa_lahiri":26.3111,"grahas":{"sun":{"sidereal_longitude":240.652833,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":306.914533,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false,"latitude":0.6964},"mars":{"sidereal_longitude":189.32093299999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":224.15123300000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":294.843033,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":207.997933,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":5.719333000000006,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":299.7606,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":119.7606,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4},"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":2175,"month":12,"day":19,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2515814.770833,"kali_year":5277,"ahargana":1927349.2708,"sun":{"sidereal_longitude":239.8592,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":308.6728,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":68.8136,"elapsed_within_tithi_degrees":8.8136},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1,"moon_longitude":308.6728,"elapsed_within_degrees":2.0061},"yoga":{"number":15,"name":"Vajra","sum_longitude":188.5319},"karana":{"half_tithi_index":11,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.696,"elongation":68.814},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.696,"opposition_distance":111.186}},"eclipse_window_40days":[]},"city":{"slug":"ranchi","name":"Ranchi, Jharkhand","lat":23.3441,"lon":85.3096,"tz_offset_hours":5.5,"state":"Jharkhand","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"ranchi","name":"Ranchi, Jharkhand","lat":23.3441,"lon":85.3096,"tz_offset_hours":5.5,"state":"Jharkhand","country":"IN","tier":"tier-1"},"sunriseLocal":"06:25","sunsetLocal":"17:07","solarNoonLocal":"11:46","dayLengthHours":10.69865579339953,"dayLengthDisplay":"10 Hours 41 Mins 55 Secs","nightLengthDisplay":"13 Hours 18 Mins 05 Secs","moonriseLocal":"10:27","moonsetLocal":"21:56","rahuKala":{"name":"Rāhu Kāla","start":"14:27","end":"15:47","startHours":14.448683442281071,"endHours":15.786015416456014,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:06","end":"10:26","startHours":9.099355545581307,"endHours":10.436687519756248,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:46","end":"13:07","startHours":11.774019493931188,"endHours":13.11135146810613,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:55","end":"09:17","startHours":8.921044615691315,"endHours":9.2776664754713,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:52","end":"07:09","startHours":6.870468921956405,"endHours":7.155766409780393,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:25","end":"12:08","startHours":11.417397634151204,"endHours":12.130641353711173,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:00","end":"05:43","startHours":4.998204158111487,"endHours":5.711447877671456,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:32","end":"06:25","startHours":5.533136947781464,"endHours":6.4246915972314245,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:33","end":"14:16","startHours":13.557128792831111,"endHours":14.27037251239108,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:55","end":"17:19","startHours":16.923347390630955,"endHours":17.323347390630953,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:07","end":"17:34","startHours":17.123347390630954,"endHours":17.569124715355933,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:52","end":"18:37","startHours":16.873347390630954,"endHours":18.623347390630954,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:25","end":"00:08","startHours":23.417397634151204,"endHours":24.130641353711173,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:25","end":"07:46","startHours":6.4246915972314245,"endHours":7.762023571406366,"quality":"inauspicious"},{"name":"Udveg","start":"07:46","end":"09:06","startHours":7.762023571406366,"endHours":9.099355545581307,"quality":"inauspicious"},{"name":"Chala","start":"09:06","end":"10:26","startHours":9.099355545581307,"endHours":10.436687519756248,"quality":"neutral"},{"name":"Labha","start":"10:26","end":"11:46","startHours":10.436687519756248,"endHours":11.774019493931188,"quality":"auspicious"},{"name":"Amṛta","start":"11:46","end":"13:07","startHours":11.774019493931188,"endHours":13.11135146810613,"quality":"auspicious"},{"name":"Kāla","start":"13:07","end":"14:27","startHours":13.11135146810613,"endHours":14.448683442281071,"quality":"inauspicious"},{"name":"Śubha","start":"14:27","end":"15:47","startHours":14.448683442281071,"endHours":15.786015416456014,"quality":"auspicious"},{"name":"Roga","start":"15:47","end":"17:07","startHours":15.786015416456014,"endHours":17.123347390630954,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:07","end":"18:47","startHours":17.123347390630954,"endHours":18.786015416456014,"quality":"inauspicious"},{"name":"Śubha","start":"18:47","end":"20:27","startHours":18.786015416456014,"endHours":20.448683442281073,"quality":"auspicious"},{"name":"Roga","start":"20:27","end":"22:07","startHours":20.448683442281073,"endHours":22.11135146810613,"quality":"inauspicious"},{"name":"Udveg","start":"22:07","end":"23:46","startHours":22.11135146810613,"endHours":23.77401949393119,"quality":"inauspicious"},{"name":"Chala","start":"23:46","end":"01:26","startHours":23.77401949393119,"endHours":25.436687519756248,"quality":"neutral"},{"name":"Labha","start":"01:26","end":"03:06","startHours":25.436687519756248,"endHours":27.099355545581307,"quality":"auspicious"},{"name":"Amṛta","start":"03:06","end":"04:46","startHours":27.099355545581307,"endHours":28.762023571406367,"quality":"auspicious"},{"name":"Kāla","start":"04:46","end":"06:25","startHours":28.762023571406367,"endHours":30.424691597231423,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:25","end":"07:25","startHours":6.4246915972314245,"endHours":7.4246915972314245,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:25","end":"08:25","startHours":7.4246915972314245,"endHours":8.424691597231424,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:25","end":"09:25","startHours":8.424691597231424,"endHours":9.424691597231424,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:25","end":"10:25","startHours":9.424691597231424,"endHours":10.424691597231424,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:25","end":"11:25","startHours":10.424691597231424,"endHours":11.424691597231424,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:25","end":"12:25","startHours":11.424691597231424,"endHours":12.424691597231424,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:25","end":"13:25","startHours":12.424691597231424,"endHours":13.424691597231424,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:25","end":"14:25","startHours":13.424691597231424,"endHours":14.424691597231424,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:25","end":"15:25","startHours":14.424691597231424,"endHours":15.424691597231424,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:25","end":"16:25","startHours":15.424691597231424,"endHours":16.424691597231423,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:25","end":"17:25","startHours":16.424691597231423,"endHours":17.424691597231423,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:25","end":"18:25","startHours":17.424691597231423,"endHours":18.424691597231423,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:25","end":"19:25","startHours":18.424691597231423,"endHours":19.424691597231423,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:25","end":"20:25","startHours":19.424691597231423,"endHours":20.424691597231423,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:25","end":"21:25","startHours":20.424691597231423,"endHours":21.424691597231423,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:25","end":"22:25","startHours":21.424691597231423,"endHours":22.424691597231423,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:25","end":"23:25","startHours":22.424691597231423,"endHours":23.424691597231423,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:25","end":"00:25","startHours":23.424691597231423,"endHours":24.424691597231423,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:25","end":"01:25","startHours":24.424691597231423,"endHours":25.424691597231423,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:25","end":"02:25","startHours":25.424691597231423,"endHours":26.424691597231423,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:25","end":"03:25","startHours":26.424691597231423,"endHours":27.424691597231423,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:25","end":"04:25","startHours":27.424691597231423,"endHours":28.424691597231423,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:25","end":"05:25","startHours":28.424691597231423,"endHours":29.424691597231423,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:25","end":"06:25","startHours":29.424691597231423,"endHours":30.424691597231423,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Prajāpati","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.40164255919995,"eotMinutes":2.3204303641286352,"ayanamsa":26.3111}},"calendars":{"vikram_samvat":2232,"vikram_samvatsara":"Sarvadhāri","saka_samvat":2097,"saka_samvatsara":"Yuva","bengali_samvat":1582,"malayalam_era":1351,"nanakshahi_year":706,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","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":"Mārgaśīrṣa Śukla Ṣaṣṭhī · Vikram 2232 Sarvadhāri · Śaka 2097 Yuva"},"festivals":[{"id":"skanda-shashthi","name":"Skanda Ṣaṣṭhī","name_sanskrit":"स्कन्द षष्ठी","tradition":"Shaiva","associated_deity":"Kārttikeya / Skanda / Murugan","significance":"Kārttikeya's victory over Tāraka. Important Shaiva day in Tamil tradition.","vrata":true,"detection":{"tithi_number":6,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":3},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi_ingress":"Dhanu"},"precedence":5}],"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":"ranchi"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 19, 2175 CE · Ranchi, Jharkhand · Vidhyamitra","description":"December 19, 2175 CE for Ranchi, Jharkhand: Śukla Ṣaṣṭhī, sūryodaya 06:25, sūryāsta 17:07.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2175-12-19","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2175-12-19","sa":"https://sa.vidhyamitra.com/city/ranchi/2175-12-19","hi":"https://hi.vidhyamitra.com/city/ranchi/2175-12-19","x-default":"https://vidhyamitra.com/city/ranchi/2175-12-19"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T17:02:15.877Z","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":"2026-06-03T17:02:15.877Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T17:02:15.877Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}