{"id":"vidhyamitra:city-day:ranchi:2015-12-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2015-12-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2015-12-03","date_display":"December 3, 2015 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":2015,"month":12,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457359.770833,"kali_year":5117,"ahargana":1868894.2708,"sun":{"sidereal_longitude":225.9314,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":131.9435,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":266.0121,"elapsed_within_tithi_degrees":2.0121},"nakshatra":{"number":10,"name":"Maghā","pada":4,"moon_longitude":131.9435,"elapsed_within_degrees":11.9435},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":357.8749},"karana":{"half_tithi_index":44,"name":"Bālava"},"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":2015,"month":12,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2457359.770833,"ahargana":1868894.2708,"kali_year":5117,"ayanamsa_lahiri":24.0754,"grahas":{"sun":{"sidereal_longitude":226.45904300000007,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":133.482143,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false,"latitude":-1.9033},"mars":{"sidereal_longitude":167.68294300000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":234.78184299999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":146.427843,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":183.22394299999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":223.51064299999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":156.9878,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":336.9878,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"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":2015,"month":12,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457359.770833,"kali_year":5117,"ahargana":1868894.2708,"sun":{"sidereal_longitude":225.9314,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":131.9435,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":266.0121,"elapsed_within_tithi_degrees":2.0121},"nakshatra":{"number":10,"name":"Maghā","pada":4,"moon_longitude":131.9435,"elapsed_within_degrees":11.9435},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":357.8749},"karana":{"half_tithi_index":44,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.903,"elongation":93.988},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.903,"opposition_distance":86.012}},"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":"06:16","sunsetLocal":"17:03","solarNoonLocal":"11:39","dayLengthHours":10.791744549487564,"dayLengthDisplay":"10 Hours 47 Mins 30 Secs","nightLengthDisplay":"13 Hours 12 Mins 30 Secs","moonriseLocal":"23:10","moonsetLocal":"11:45","rahuKala":{"name":"Rāhu Kāla","start":"13:00","end":"14:21","startHours":13.005680953174977,"endHours":14.354649021860926,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:16","end":"07:37","startHours":6.260840609745251,"endHours":7.609808678431197,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:58","end":"10:18","startHours":8.958776747117142,"endHours":10.307744815803087,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:47","end":"09:08","startHours":8.778914337959016,"endHours":9.138639156275268,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:43","end":"07:00","startHours":6.710496632640566,"endHours":6.998276487293568,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:18","end":"12:01","startHours":11.296988066172782,"endHours":12.016437702805286,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:49","end":"05:32","startHours":4.821941336480242,"endHours":5.541390973112747,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:22","end":"06:16","startHours":5.361528563954621,"endHours":6.260840609745251,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:27","end":"14:10","startHours":13.455336976070292,"endHours":14.174786612702796,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:51","end":"17:15","startHours":16.852585159232817,"endHours":17.252585159232815,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:03","end":"17:30","startHours":17.052585159232816,"endHours":17.50224118212813,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:48","end":"18:33","startHours":16.802585159232816,"endHours":18.552585159232816,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:18","end":"00:01","startHours":23.29698806617278,"endHours":24.016437702805284,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:16","end":"07:37","startHours":6.260840609745251,"endHours":7.609808678431197,"quality":"auspicious"},{"name":"Roga","start":"07:37","end":"08:58","startHours":7.609808678431197,"endHours":8.958776747117142,"quality":"inauspicious"},{"name":"Udveg","start":"08:58","end":"10:18","startHours":8.958776747117142,"endHours":10.307744815803087,"quality":"inauspicious"},{"name":"Chala","start":"10:18","end":"11:39","startHours":10.307744815803087,"endHours":11.656712884489032,"quality":"neutral"},{"name":"Labha","start":"11:39","end":"13:00","startHours":11.656712884489032,"endHours":13.005680953174977,"quality":"auspicious"},{"name":"Amṛta","start":"13:00","end":"14:21","startHours":13.005680953174977,"endHours":14.354649021860926,"quality":"auspicious"},{"name":"Kāla","start":"14:21","end":"15:42","startHours":14.354649021860926,"endHours":15.70361709054687,"quality":"inauspicious"},{"name":"Śubha","start":"15:42","end":"17:03","startHours":15.70361709054687,"endHours":17.052585159232816,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:03","end":"18:42","startHours":17.052585159232816,"endHours":18.70361709054687,"quality":"auspicious"},{"name":"Kāla","start":"18:42","end":"20:21","startHours":18.70361709054687,"endHours":20.354649021860926,"quality":"inauspicious"},{"name":"Śubha","start":"20:21","end":"22:00","startHours":20.354649021860926,"endHours":22.00568095317498,"quality":"auspicious"},{"name":"Roga","start":"22:00","end":"23:39","startHours":22.00568095317498,"endHours":23.656712884489032,"quality":"inauspicious"},{"name":"Udveg","start":"23:39","end":"01:18","startHours":23.656712884489032,"endHours":25.30774481580309,"quality":"inauspicious"},{"name":"Chala","start":"01:18","end":"02:58","startHours":25.30774481580309,"endHours":26.958776747117142,"quality":"neutral"},{"name":"Labha","start":"02:58","end":"04:37","startHours":26.958776747117142,"endHours":28.609808678431197,"quality":"auspicious"},{"name":"Amṛta","start":"04:37","end":"06:16","startHours":28.609808678431197,"endHours":30.26084060974525,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:16","end":"07:16","startHours":6.260840609745251,"endHours":7.260840609745251,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:16","end":"08:16","startHours":7.260840609745251,"endHours":8.260840609745252,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:16","end":"09:16","startHours":8.260840609745252,"endHours":9.260840609745252,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:16","end":"10:16","startHours":9.260840609745252,"endHours":10.260840609745252,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:16","end":"11:16","startHours":10.260840609745252,"endHours":11.260840609745252,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:16","end":"12:16","startHours":11.260840609745252,"endHours":12.260840609745252,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:16","end":"13:16","startHours":12.260840609745252,"endHours":13.260840609745252,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:16","end":"14:16","startHours":13.260840609745252,"endHours":14.260840609745252,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:16","end":"15:16","startHours":14.260840609745252,"endHours":15.260840609745252,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:16","end":"16:16","startHours":15.260840609745252,"endHours":16.26084060974525,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:16","end":"17:16","startHours":16.26084060974525,"endHours":17.26084060974525,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:16","end":"18:16","startHours":17.26084060974525,"endHours":18.26084060974525,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:16","end":"19:16","startHours":18.26084060974525,"endHours":19.26084060974525,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:16","end":"20:16","startHours":19.26084060974525,"endHours":20.26084060974525,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:16","end":"21:16","startHours":20.26084060974525,"endHours":21.26084060974525,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:16","end":"22:16","startHours":21.26084060974525,"endHours":22.26084060974525,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:16","end":"23:16","startHours":22.26084060974525,"endHours":23.26084060974525,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:16","end":"00:16","startHours":23.26084060974525,"endHours":24.26084060974525,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:16","end":"01:16","startHours":24.26084060974525,"endHours":25.26084060974525,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:16","end":"02:16","startHours":25.26084060974525,"endHours":26.26084060974525,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:16","end":"03:16","startHours":26.26084060974525,"endHours":27.26084060974525,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:16","end":"04:16","startHours":27.26084060974525,"endHours":28.26084060974525,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:16","end":"05:16","startHours":28.26084060974525,"endHours":29.26084060974525,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:16","end":"06:16","startHours":29.26084060974525,"endHours":30.26084060974525,"planetary_lord":"Moon"}],"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":"South (Dakṣiṇa)","chandraVasa":"West","rahuVasa":"North-West","anandadiYoga":{"name":"Cara","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":-22.02424261593045,"eotMinutes":9.35882693065794,"ayanamsa":24.0754}},"calendars":{"vikram_samvat":2072,"vikram_samvatsara":"Kīlaka","saka_samvat":1937,"saka_samvatsara":"Manmatha","bengali_samvat":1422,"malayalam_era":1191,"nanakshahi_year":546,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Aṣṭamī · Vikram 2072 Kīlaka · Śaka 1937 Manmatha"},"festivals":[{"id":"kalabhairava-ashtami","name":"Kālabhairava Aṣṭamī","name_sanskrit":"कालभैरव अष्टमी","tradition":"Shaiva","associated_deity":"Kālabhairava (fierce Śiva)","significance":"Kālabhairava's manifestation; Kāśī-kṣetrapāla.","vrata":true,"detection":{"tithi_number":23,"tithi_paksha":"Kṛṣṇa","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":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Kṛṣṇa Aṣṭamī","url":"/day/-3226-07-09","relevance":0.5}]},"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 3, 2015 CE · Ranchi, Jharkhand · Vidhyamitra","description":"December 3, 2015 CE for Ranchi, Jharkhand: Kṛṣṇa Aṣṭamī, sūryodaya 06:16, sūryāsta 17:03.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2015-12-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2015-12-03","sa":"https://sa.vidhyamitra.com/city/ranchi/2015-12-03","hi":"https://hi.vidhyamitra.com/city/ranchi/2015-12-03","x-default":"https://vidhyamitra.com/city/ranchi/2015-12-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T12:49:59.991Z","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":"2026-05-15T12:49:59.991Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T12:49:59.991Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}