{"id":"vidhyamitra:city-day:varanasi:2012-12-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/2012-12-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2012-12-04","date_display":"December 4, 2012 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":2012,"month":12,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456265.770833,"kali_year":5114,"ahargana":1867800.2708,"sun":{"sidereal_longitude":227.747,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":111.2159,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":243.4689,"elapsed_within_tithi_degrees":3.4689},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2,"moon_longitude":111.2159,"elapsed_within_degrees":4.5492},"yoga":{"number":26,"name":"Indra","sum_longitude":338.9629},"karana":{"half_tithi_index":40,"name":"Gara"},"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":2012,"month":12,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2456265.770833,"ahargana":1867800.2708,"kali_year":5114,"ayanamsa_lahiri":24.0336,"grahas":{"sun":{"sidereal_longitude":228.25384199999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":107.76084200000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false,"latitude":-4.371},"mars":{"sidereal_longitude":258.753642,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":207.57424200000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":46.74094200000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":true},"venus":{"sidereal_longitude":200.65924199999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":192.63944200000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":214.9532,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":34.9532,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"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":2012,"month":12,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456265.770833,"kali_year":5114,"ahargana":1867800.2708,"sun":{"sidereal_longitude":227.747,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":111.2159,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":243.4689,"elapsed_within_tithi_degrees":3.4689},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2,"moon_longitude":111.2159,"elapsed_within_degrees":4.5492},"yoga":{"number":26,"name":"Indra","sum_longitude":338.9629},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.371,"elongation":116.531},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.371,"opposition_distance":63.469}},"eclipse_window_40days":[{"offset_days":-20,"type":"solar","occurs":true,"moon_latitude":-0.609,"elongation":0.833}]},"city":{"slug":"varanasi","name":"Vārāṇasī (Kāśī)","lat":25.3176,"lon":82.9739,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"varanasi","name":"Vārāṇasī (Kāśī)","lat":25.3176,"lon":82.9739,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"06:30","sunsetLocal":"17:09","solarNoonLocal":"11:49","dayLengthHours":10.64610674738668,"dayLengthDisplay":"10 Hours 38 Mins 46 Secs","nightLengthDisplay":"13 Hours 21 Mins 14 Secs","moonriseLocal":"21:11","moonsetLocal":"10:24","rahuKala":{"name":"Rāhu Kāla","start":"14:29","end":"15:49","startHours":14.480586277944951,"endHours":15.811349621368286,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:09","end":"10:29","startHours":9.157532904251612,"endHours":10.488296247674946,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:49","end":"13:09","startHours":11.81905959109828,"endHours":13.149822934521616,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:59","end":"09:20","startHours":8.980097791795167,"endHours":9.334968016708057,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:56","end":"07:13","startHours":6.939593998546053,"endHours":7.223490178476364,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:28","end":"12:10","startHours":11.46418936618539,"endHours":12.17392981601117,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:05","end":"05:47","startHours":5.076525317753385,"endHours":5.786265767579163,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:37","end":"06:30","startHours":5.608830655122718,"endHours":6.4960062174049416,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:36","end":"14:18","startHours":13.593410715662728,"endHours":14.303151165488506,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:57","end":"17:21","startHours":16.942112964791622,"endHours":17.34211296479162,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:09","end":"17:35","startHours":17.14211296479162,"endHours":17.585700745932733,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:54","end":"18:39","startHours":16.89211296479162,"endHours":18.64211296479162,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:28","end":"00:10","startHours":23.46418936618539,"endHours":24.17392981601117,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:30","end":"07:50","startHours":6.4960062174049416,"endHours":7.826769560828277,"quality":"inauspicious"},{"name":"Udveg","start":"07:50","end":"09:09","startHours":7.826769560828277,"endHours":9.157532904251612,"quality":"inauspicious"},{"name":"Chala","start":"09:09","end":"10:29","startHours":9.157532904251612,"endHours":10.488296247674946,"quality":"neutral"},{"name":"Labha","start":"10:29","end":"11:49","startHours":10.488296247674946,"endHours":11.81905959109828,"quality":"auspicious"},{"name":"Amṛta","start":"11:49","end":"13:09","startHours":11.81905959109828,"endHours":13.149822934521616,"quality":"auspicious"},{"name":"Kāla","start":"13:09","end":"14:29","startHours":13.149822934521616,"endHours":14.480586277944951,"quality":"inauspicious"},{"name":"Śubha","start":"14:29","end":"15:49","startHours":14.480586277944951,"endHours":15.811349621368286,"quality":"auspicious"},{"name":"Roga","start":"15:49","end":"17:09","startHours":15.811349621368286,"endHours":17.14211296479162,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:09","end":"18:49","startHours":17.14211296479162,"endHours":18.811349621368286,"quality":"inauspicious"},{"name":"Śubha","start":"18:49","end":"20:29","startHours":18.811349621368286,"endHours":20.48058627794495,"quality":"auspicious"},{"name":"Roga","start":"20:29","end":"22:09","startHours":20.48058627794495,"endHours":22.149822934521616,"quality":"inauspicious"},{"name":"Udveg","start":"22:09","end":"23:49","startHours":22.149822934521616,"endHours":23.81905959109828,"quality":"inauspicious"},{"name":"Chala","start":"23:49","end":"01:29","startHours":23.81905959109828,"endHours":25.488296247674946,"quality":"neutral"},{"name":"Labha","start":"01:29","end":"03:09","startHours":25.488296247674946,"endHours":27.15753290425161,"quality":"auspicious"},{"name":"Amṛta","start":"03:09","end":"04:50","startHours":27.15753290425161,"endHours":28.826769560828275,"quality":"auspicious"},{"name":"Kāla","start":"04:50","end":"06:30","startHours":28.826769560828275,"endHours":30.49600621740494,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:30","end":"07:30","startHours":6.4960062174049416,"endHours":7.4960062174049416,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:30","end":"08:30","startHours":7.4960062174049416,"endHours":8.496006217404942,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:30","end":"09:30","startHours":8.496006217404942,"endHours":9.496006217404942,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:30","end":"10:30","startHours":9.496006217404942,"endHours":10.496006217404942,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:30","end":"11:30","startHours":10.496006217404942,"endHours":11.496006217404942,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:30","end":"12:30","startHours":11.496006217404942,"endHours":12.496006217404942,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:30","end":"13:30","startHours":12.496006217404942,"endHours":13.496006217404942,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:30","end":"14:30","startHours":13.496006217404942,"endHours":14.496006217404942,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:30","end":"15:30","startHours":14.496006217404942,"endHours":15.496006217404942,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:30","end":"16:30","startHours":15.496006217404942,"endHours":16.49600621740494,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:30","end":"17:30","startHours":16.49600621740494,"endHours":17.49600621740494,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:30","end":"18:30","startHours":17.49600621740494,"endHours":18.49600621740494,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:30","end":"19:30","startHours":18.49600621740494,"endHours":19.49600621740494,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:30","end":"20:30","startHours":19.49600621740494,"endHours":20.49600621740494,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:30","end":"21:30","startHours":20.49600621740494,"endHours":21.49600621740494,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:30","end":"22:30","startHours":21.49600621740494,"endHours":22.49600621740494,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:30","end":"23:30","startHours":22.49600621740494,"endHours":23.49600621740494,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:30","end":"00:30","startHours":23.49600621740494,"endHours":24.49600621740494,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:30","end":"01:30","startHours":24.49600621740494,"endHours":25.49600621740494,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:30","end":"02:30","startHours":25.49600621740494,"endHours":26.49600621740494,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:30","end":"03:30","startHours":26.49600621740494,"endHours":27.49600621740494,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:30","end":"04:30","startHours":27.49600621740494,"endHours":28.49600621740494,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:30","end":"05:30","startHours":28.49600621740494,"endHours":29.49600621740494,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:30","end":"06:30","startHours":29.49600621740494,"endHours":30.49600621740494,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"North","anandadiYoga":{"name":"Mṛtyu","quality":"Inauspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Śarad (Autumn)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-22.264193432854576,"eotMinutes":8.960824534103129,"ayanamsa":24.0336}},"calendars":{"vikram_samvat":2069,"vikram_samvatsara":"Viśvāvasu","saka_samvat":1934,"saka_samvatsara":"Nandana","bengali_samvat":1419,"malayalam_era":1188,"nanakshahi_year":543,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Ṣaṣṭhī · Vikram 2069 Viśvāvasu · Śaka 1934 Nandana"},"festivals":[{"id":"vrischika-sankranti","name":"Vṛścika Saṅkrānti","name_sanskrit":"वृश्चिक सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Scorpio.","vrata":false,"detection":{"sun_rashi":"Vṛścika"},"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":"varanasi"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 4, 2012 CE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"December 4, 2012 CE for Vārāṇasī (Kāśī): Kṛṣṇa Ṣaṣṭhī, sūryodaya 06:30, sūryāsta 17:09.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/2012-12-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/2012-12-04","sa":"https://sa.vidhyamitra.com/city/varanasi/2012-12-04","hi":"https://hi.vidhyamitra.com/city/varanasi/2012-12-04","x-default":"https://vidhyamitra.com/city/varanasi/2012-12-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T09:34:42.742Z","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":"2026-05-14T09:34:42.742Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T09:34:42.742Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}