{"id":"vidhyamitra:city-day:ranchi:2016-12-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2016-12-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2016-12-15","date_display":"December 15, 2016 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":2016,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457737.770833,"kali_year":5118,"ahargana":1869272.2708,"sun":{"sidereal_longitude":238.9791,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":73.4198,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":194.4407,"elapsed_within_tithi_degrees":2.4407},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":73.4198,"elapsed_within_degrees":6.7531},"yoga":{"number":24,"name":"Śukla","sum_longitude":312.3989},"karana":{"half_tithi_index":32,"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":2016,"month":12,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2457737.770833,"ahargana":1869272.2708,"kali_year":5118,"ayanamsa_lahiri":24.0899,"grahas":{"sun":{"sidereal_longitude":239.403501,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":73.83430099999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false,"latitude":-4.0278},"mars":{"sidereal_longitude":302.3851010000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":259.391801,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":174.41140099999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":284.238701,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":235.11490100000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":136.9595,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":316.9595,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","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":2016,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457737.770833,"kali_year":5118,"ahargana":1869272.2708,"sun":{"sidereal_longitude":238.9791,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":73.4198,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":194.4407,"elapsed_within_tithi_degrees":2.4407},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":73.4198,"elapsed_within_degrees":6.7531},"yoga":{"number":24,"name":"Śukla","sum_longitude":312.3989},"karana":{"half_tithi_index":32,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.028,"elongation":165.559},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.028,"opposition_distance":14.441}},"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":"06:23","sunsetLocal":"17:06","solarNoonLocal":"11:45","dayLengthHours":10.707188569572857,"dayLengthDisplay":"10 Hours 42 Mins 26 Secs","nightLengthDisplay":"13 Hours 17 Mins 34 Secs","moonriseLocal":"17:57","moonsetLocal":"07:28","rahuKala":{"name":"Rāhu Kāla","start":"13:05","end":"14:25","startHours":13.081459653970402,"endHours":14.419858225167008,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:23","end":"07:44","startHours":6.3894667979873665,"endHours":7.727865369183974,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:04","end":"10:24","startHours":9.06626394038058,"endHours":10.404662511577188,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:53","end":"09:15","startHours":8.887810797554366,"endHours":9.244717083206794,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:50","end":"07:07","startHours":6.835599655052902,"endHours":7.121124683574845,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:23","end":"12:06","startHours":11.386154797121367,"endHours":12.099967368426224,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:58","end":"05:41","startHours":4.961841655377652,"endHours":5.675654226682509,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:30","end":"06:23","startHours":5.497201083856295,"endHours":6.3894667979873665,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:32","end":"14:14","startHours":13.527592511035937,"endHours":14.241405082340794,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:54","end":"17:18","startHours":16.896655367560225,"endHours":17.296655367560223,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:06","end":"17:33","startHours":17.096655367560224,"endHours":17.54278822462576,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:51","end":"18:36","startHours":16.846655367560224,"endHours":18.596655367560224,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:23","end":"00:06","startHours":23.386154797121367,"endHours":24.099967368426224,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:23","end":"07:44","startHours":6.3894667979873665,"endHours":7.727865369183974,"quality":"auspicious"},{"name":"Roga","start":"07:44","end":"09:04","startHours":7.727865369183974,"endHours":9.06626394038058,"quality":"inauspicious"},{"name":"Udveg","start":"09:04","end":"10:24","startHours":9.06626394038058,"endHours":10.404662511577188,"quality":"inauspicious"},{"name":"Chala","start":"10:24","end":"11:45","startHours":10.404662511577188,"endHours":11.743061082773796,"quality":"neutral"},{"name":"Labha","start":"11:45","end":"13:05","startHours":11.743061082773796,"endHours":13.081459653970402,"quality":"auspicious"},{"name":"Amṛta","start":"13:05","end":"14:25","startHours":13.081459653970402,"endHours":14.419858225167008,"quality":"auspicious"},{"name":"Kāla","start":"14:25","end":"15:45","startHours":14.419858225167008,"endHours":15.758256796363618,"quality":"inauspicious"},{"name":"Śubha","start":"15:45","end":"17:06","startHours":15.758256796363618,"endHours":17.096655367560224,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:06","end":"18:45","startHours":17.096655367560224,"endHours":18.758256796363618,"quality":"auspicious"},{"name":"Kāla","start":"18:45","end":"20:25","startHours":18.758256796363618,"endHours":20.41985822516701,"quality":"inauspicious"},{"name":"Śubha","start":"20:25","end":"22:05","startHours":20.41985822516701,"endHours":22.081459653970402,"quality":"auspicious"},{"name":"Roga","start":"22:05","end":"23:45","startHours":22.081459653970402,"endHours":23.743061082773796,"quality":"inauspicious"},{"name":"Udveg","start":"23:45","end":"01:24","startHours":23.743061082773796,"endHours":25.40466251157719,"quality":"inauspicious"},{"name":"Chala","start":"01:24","end":"03:04","startHours":25.40466251157719,"endHours":27.06626394038058,"quality":"neutral"},{"name":"Labha","start":"03:04","end":"04:44","startHours":27.06626394038058,"endHours":28.727865369183974,"quality":"auspicious"},{"name":"Amṛta","start":"04:44","end":"06:23","startHours":28.727865369183974,"endHours":30.389466797987367,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:23","end":"07:23","startHours":6.3894667979873665,"endHours":7.3894667979873665,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:23","end":"08:23","startHours":7.3894667979873665,"endHours":8.389466797987367,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:23","end":"09:23","startHours":8.389466797987367,"endHours":9.389466797987367,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:23","end":"10:23","startHours":9.389466797987367,"endHours":10.389466797987367,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:23","end":"11:23","startHours":10.389466797987367,"endHours":11.389466797987367,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:23","end":"12:23","startHours":11.389466797987367,"endHours":12.389466797987367,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:23","end":"13:23","startHours":12.389466797987367,"endHours":13.389466797987367,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:23","end":"14:23","startHours":13.389466797987367,"endHours":14.389466797987367,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:23","end":"15:23","startHours":14.389466797987367,"endHours":15.389466797987367,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:23","end":"16:23","startHours":15.389466797987367,"endHours":16.389466797987367,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:23","end":"17:23","startHours":16.389466797987367,"endHours":17.389466797987367,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:23","end":"18:23","startHours":17.389466797987367,"endHours":18.389466797987367,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:23","end":"19:23","startHours":18.389466797987367,"endHours":19.389466797987367,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:23","end":"20:23","startHours":19.389466797987367,"endHours":20.389466797987367,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:23","end":"21:23","startHours":20.389466797987367,"endHours":21.389466797987367,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:23","end":"22:23","startHours":21.389466797987367,"endHours":22.389466797987367,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:23","end":"23:23","startHours":22.389466797987367,"endHours":23.389466797987367,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:23","end":"00:23","startHours":23.389466797987367,"endHours":24.389466797987367,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:23","end":"01:23","startHours":24.389466797987367,"endHours":25.389466797987367,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:23","end":"02:23","startHours":25.389466797987367,"endHours":26.389466797987367,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:23","end":"03:23","startHours":26.389466797987367,"endHours":27.389466797987367,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:23","end":"04:23","startHours":27.389466797987367,"endHours":28.389466797987367,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:23","end":"05:23","startHours":28.389466797987367,"endHours":29.389466797987367,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:23","end":"06:23","startHours":29.389466797987367,"endHours":30.389466797987367,"planetary_lord":"Moon"}],"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","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Mausala","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":-23.27661382141954,"eotMinutes":4.177935033572184,"ayanamsa":24.0899}},"calendars":{"vikram_samvat":2073,"vikram_samvatsara":"Saumya","saka_samvat":1938,"saka_samvatsara":"Durmukhi","bengali_samvat":1423,"malayalam_era":1192,"nanakshahi_year":547,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Dvitīyā · Vikram 2073 Saumya · Śaka 1938 Durmukhi"},"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":"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":"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 15, 2016 CE · Ranchi, Jharkhand · Vidhyamitra","description":"December 15, 2016 CE for Ranchi, Jharkhand: Kṛṣṇa Dvitīyā, sūryodaya 06:23, sūryāsta 17:06.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2016-12-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2016-12-15","sa":"https://sa.vidhyamitra.com/city/ranchi/2016-12-15","hi":"https://hi.vidhyamitra.com/city/ranchi/2016-12-15","x-default":"https://vidhyamitra.com/city/ranchi/2016-12-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T06:55:10.722Z","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":"2026-05-15T06:55:10.722Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T06:55:10.722Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}