{"id":"vidhyamitra:city-day:varanasi:2018-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/2018-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2018-12-13","date_display":"December 13, 2018 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":2018,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458465.770833,"kali_year":5120,"ahargana":1870000.2708,"sun":{"sidereal_longitude":236.397,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":303.0821,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":66.6851,"elapsed_within_tithi_degrees":6.6851},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3,"moon_longitude":303.0821,"elapsed_within_degrees":9.7488},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":179.4792},"karana":{"half_tithi_index":11,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2018,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2458465.770833,"ahargana":1870000.2708,"kali_year":5120,"ayanamsa_lahiri":24.1177,"grahas":{"sun":{"sidereal_longitude":236.84778600000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":300.125186,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false,"latitude":-1.8785},"mars":{"sidereal_longitude":322.90568600000006,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":215.54298599999993,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":223.509586,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":192.359286,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":254.942586,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":98.3866,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":278.3866,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","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":2018,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458465.770833,"kali_year":5120,"ahargana":1870000.2708,"sun":{"sidereal_longitude":236.397,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":303.0821,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":66.6851,"elapsed_within_tithi_degrees":6.6851},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3,"moon_longitude":303.0821,"elapsed_within_degrees":9.7488},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":179.4792},"karana":{"half_tithi_index":11,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.878,"elongation":66.685},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.878,"opposition_distance":113.315}},"eclipse_window_40days":[]},"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":"06:36","sunsetLocal":"17:10","solarNoonLocal":"11:53","dayLengthHours":10.581819870583935,"dayLengthDisplay":"10 Hours 34 Mins 55 Secs","nightLengthDisplay":"13 Hours 25 Mins 05 Secs","moonriseLocal":"10:29","moonsetLocal":"21:43","rahuKala":{"name":"Rāhu Kāla","start":"13:12","end":"14:32","startHours":13.206289979666021,"endHours":14.529017463489012,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:36","end":"07:55","startHours":6.592652560551062,"endHours":7.915380044374054,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:14","end":"10:34","startHours":9.238107528197045,"endHours":10.560835012020037,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:04","end":"09:25","startHours":9.061743863687314,"endHours":9.414471192706777,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:02","end":"07:19","startHours":7.033561721825392,"endHours":7.315743585040964,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:32","end":"12:14","startHours":11.530835166823566,"endHours":12.236289824862494,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:11","end":"05:53","startHours":5.1817432444732034,"endHours":5.887197902512133,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:43","end":"06:36","startHours":5.7108342380024,"endHours":6.592652560551062,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:39","end":"14:21","startHours":13.647199140940351,"endHours":14.352653798979281,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:58","end":"17:22","startHours":16.974472431135,"endHours":17.374472431134997,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:10","end":"17:37","startHours":17.174472431134998,"endHours":17.615381592409328,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:55","end":"18:40","startHours":16.924472431134998,"endHours":18.674472431134998,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:32","end":"00:14","startHours":23.530835166823564,"endHours":24.236289824862496,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:36","end":"07:55","startHours":6.592652560551062,"endHours":7.915380044374054,"quality":"auspicious"},{"name":"Roga","start":"07:55","end":"09:14","startHours":7.915380044374054,"endHours":9.238107528197045,"quality":"inauspicious"},{"name":"Udveg","start":"09:14","end":"10:34","startHours":9.238107528197045,"endHours":10.560835012020037,"quality":"inauspicious"},{"name":"Chala","start":"10:34","end":"11:53","startHours":10.560835012020037,"endHours":11.88356249584303,"quality":"neutral"},{"name":"Labha","start":"11:53","end":"13:12","startHours":11.88356249584303,"endHours":13.206289979666021,"quality":"auspicious"},{"name":"Amṛta","start":"13:12","end":"14:32","startHours":13.206289979666021,"endHours":14.529017463489012,"quality":"auspicious"},{"name":"Kāla","start":"14:32","end":"15:51","startHours":14.529017463489012,"endHours":15.851744947312007,"quality":"inauspicious"},{"name":"Śubha","start":"15:51","end":"17:10","startHours":15.851744947312007,"endHours":17.174472431134998,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:10","end":"18:51","startHours":17.174472431134998,"endHours":18.851744947312007,"quality":"auspicious"},{"name":"Kāla","start":"18:51","end":"20:32","startHours":18.851744947312007,"endHours":20.529017463489012,"quality":"inauspicious"},{"name":"Śubha","start":"20:32","end":"22:12","startHours":20.529017463489012,"endHours":22.20628997966602,"quality":"auspicious"},{"name":"Roga","start":"22:12","end":"23:53","startHours":22.20628997966602,"endHours":23.88356249584303,"quality":"inauspicious"},{"name":"Udveg","start":"23:53","end":"01:34","startHours":23.88356249584303,"endHours":25.56083501202004,"quality":"inauspicious"},{"name":"Chala","start":"01:34","end":"03:14","startHours":25.56083501202004,"endHours":27.238107528197048,"quality":"neutral"},{"name":"Labha","start":"03:14","end":"04:55","startHours":27.238107528197048,"endHours":28.915380044374054,"quality":"auspicious"},{"name":"Amṛta","start":"04:55","end":"06:36","startHours":28.915380044374054,"endHours":30.592652560551063,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:36","end":"07:36","startHours":6.592652560551062,"endHours":7.592652560551062,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:36","end":"08:36","startHours":7.592652560551062,"endHours":8.592652560551063,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:36","end":"09:36","startHours":8.592652560551063,"endHours":9.592652560551063,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:36","end":"10:36","startHours":9.592652560551063,"endHours":10.592652560551063,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:36","end":"11:36","startHours":10.592652560551063,"endHours":11.592652560551063,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:36","end":"12:36","startHours":11.592652560551063,"endHours":12.592652560551063,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:36","end":"13:36","startHours":12.592652560551063,"endHours":13.592652560551063,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:36","end":"14:36","startHours":13.592652560551063,"endHours":14.592652560551063,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:36","end":"15:36","startHours":14.592652560551063,"endHours":15.592652560551063,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:36","end":"16:36","startHours":15.592652560551063,"endHours":16.592652560551063,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:36","end":"17:36","startHours":16.592652560551063,"endHours":17.592652560551063,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:36","end":"18:36","startHours":17.592652560551063,"endHours":18.592652560551063,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:36","end":"19:36","startHours":18.592652560551063,"endHours":19.592652560551063,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:36","end":"20:36","startHours":19.592652560551063,"endHours":20.592652560551063,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:36","end":"21:36","startHours":20.592652560551063,"endHours":21.592652560551063,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:36","end":"22:36","startHours":21.592652560551063,"endHours":22.592652560551063,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:36","end":"23:36","startHours":22.592652560551063,"endHours":23.592652560551063,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:36","end":"00:36","startHours":23.592652560551063,"endHours":24.592652560551063,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:36","end":"01:36","startHours":24.592652560551063,"endHours":25.592652560551063,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:36","end":"02:36","startHours":25.592652560551063,"endHours":26.592652560551063,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:36","end":"03:36","startHours":26.592652560551063,"endHours":27.592652560551063,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:36","end":"04:36","startHours":27.592652560551063,"endHours":28.592652560551063,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:36","end":"05:36","startHours":28.592652560551063,"endHours":29.592652560551063,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:36","end":"06:36","startHours":29.592652560551063,"endHours":30.592652560551063,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"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":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Chatra","quality":"Auspicious"},"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":-23.1287217383452,"eotMinutes":5.090650249418121,"ayanamsa":24.1177}},"calendars":{"vikram_samvat":2075,"vikram_samvatsara":"Virodhakṛt","saka_samvat":1940,"saka_samvatsara":"Vilambī","bengali_samvat":1425,"malayalam_era":1194,"nanakshahi_year":549,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Ṣaṣṭhī · Vikram 2075 Virodhakṛt · Śaka 1940 Vilambī"},"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":"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":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 13, 2018 CE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"December 13, 2018 CE for Vārāṇasī (Kāśī): Śukla Ṣaṣṭhī, sūryodaya 06:36, sūryāsta 17:10.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/2018-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/2018-12-13","sa":"https://sa.vidhyamitra.com/city/varanasi/2018-12-13","hi":"https://hi.vidhyamitra.com/city/varanasi/2018-12-13","x-default":"https://vidhyamitra.com/city/varanasi/2018-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T19:38:01.394Z","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":"2026-05-14T19:38:01.394Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T19:38:01.394Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}