{"id":"vidhyamitra:city-day:ranchi:2115-12-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2115-12-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2115-12-01","date_display":"December 1, 2115 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":2115,"month":12,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493881.770833,"kali_year":5217,"ahargana":1905416.2708,"sun":{"sidereal_longitude":221.9744,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":29.5882,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":167.6138,"elapsed_within_tithi_degrees":11.6138},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":29.5882,"elapsed_within_degrees":2.9215},"yoga":{"number":19,"name":"Parigha","sum_longitude":251.5626},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2115,"month":12,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2493881.770833,"ahargana":1905416.2708,"kali_year":5217,"ayanamsa_lahiri":25.4722,"grahas":{"sun":{"sidereal_longitude":222.770534,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":31.20603399999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false,"latitude":0.6032},"mars":{"sidereal_longitude":199.62463400000001,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":241.40803400000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":272.799434,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":255.29113399999994,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":351.845334,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":21.8765,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":201.8765,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"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":2115,"month":12,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493881.770833,"kali_year":5217,"ahargana":1905416.2708,"sun":{"sidereal_longitude":221.9744,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":29.5882,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":167.6138,"elapsed_within_tithi_degrees":11.6138},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":29.5882,"elapsed_within_degrees":2.9215},"yoga":{"number":19,"name":"Parigha","sum_longitude":251.5626},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.603,"elongation":167.614},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.603,"opposition_distance":12.386}},"eclipse_window_40days":[{"offset_days":-15,"type":"solar","occurs":true,"moon_latitude":-0.1,"elongation":2.779}]},"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":"06:14","sunsetLocal":"17:03","solarNoonLocal":"11:39","dayLengthHours":10.814802670650238,"dayLengthDisplay":"10 Hours 48 Mins 53 Secs","nightLengthDisplay":"13 Hours 11 Mins 07 Secs","moonriseLocal":"16:15","moonsetLocal":"05:30","rahuKala":{"name":"Rāhu Kāla","start":"15:42","end":"17:03","startHours":15.699393491487164,"endHours":17.051243825318444,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:39","end":"13:00","startHours":11.643842489993325,"endHours":12.995692823824605,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:21","end":"15:42","startHours":14.347543157655885,"endHours":15.699393491487164,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:46","end":"09:07","startHours":8.759895111153263,"endHours":9.12038853350827,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:41","end":"06:59","startHours":6.6870579326119675,"endHours":6.975452670495974,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:17","end":"12:00","startHours":11.283349067638317,"endHours":12.004335912348333,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:48","end":"05:31","startHours":4.794467465248175,"endHours":5.515454309958192,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:20","end":"06:14","startHours":5.335207598780688,"endHours":6.236441154668207,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:27","end":"14:10","startHours":13.446309601768366,"endHours":14.167296446478382,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:51","end":"17:15","startHours":16.851243825318445,"endHours":17.251243825318443,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:03","end":"17:30","startHours":17.051243825318444,"endHours":17.501860603262205,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:48","end":"18:33","startHours":16.801243825318444,"endHours":18.551243825318444,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:17","end":"00:00","startHours":23.283349067638316,"endHours":24.004335912348335,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:14","end":"07:35","startHours":6.236441154668207,"endHours":7.588291488499487,"quality":"inauspicious"},{"name":"Chala","start":"07:35","end":"08:56","startHours":7.588291488499487,"endHours":8.940141822330766,"quality":"neutral"},{"name":"Labha","start":"08:56","end":"10:18","startHours":8.940141822330766,"endHours":10.291992156162046,"quality":"auspicious"},{"name":"Amṛta","start":"10:18","end":"11:39","startHours":10.291992156162046,"endHours":11.643842489993325,"quality":"auspicious"},{"name":"Kāla","start":"11:39","end":"13:00","startHours":11.643842489993325,"endHours":12.995692823824605,"quality":"inauspicious"},{"name":"Śubha","start":"13:00","end":"14:21","startHours":12.995692823824605,"endHours":14.347543157655885,"quality":"auspicious"},{"name":"Roga","start":"14:21","end":"15:42","startHours":14.347543157655885,"endHours":15.699393491487164,"quality":"inauspicious"},{"name":"Udveg","start":"15:42","end":"17:03","startHours":15.699393491487164,"endHours":17.051243825318444,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:03","end":"18:42","startHours":17.051243825318444,"endHours":18.699393491487164,"quality":"auspicious"},{"name":"Roga","start":"18:42","end":"20:21","startHours":18.699393491487164,"endHours":20.347543157655885,"quality":"inauspicious"},{"name":"Udveg","start":"20:21","end":"22:00","startHours":20.347543157655885,"endHours":21.995692823824605,"quality":"inauspicious"},{"name":"Chala","start":"22:00","end":"23:39","startHours":21.995692823824605,"endHours":23.643842489993325,"quality":"neutral"},{"name":"Labha","start":"23:39","end":"01:18","startHours":23.643842489993325,"endHours":25.291992156162046,"quality":"auspicious"},{"name":"Amṛta","start":"01:18","end":"02:56","startHours":25.291992156162046,"endHours":26.940141822330766,"quality":"auspicious"},{"name":"Kāla","start":"02:56","end":"04:35","startHours":26.940141822330766,"endHours":28.588291488499486,"quality":"inauspicious"},{"name":"Śubha","start":"04:35","end":"06:14","startHours":28.588291488499486,"endHours":30.236441154668206,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:14","end":"07:14","startHours":6.236441154668207,"endHours":7.236441154668207,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:14","end":"08:14","startHours":7.236441154668207,"endHours":8.236441154668206,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:14","end":"09:14","startHours":8.236441154668206,"endHours":9.236441154668206,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:14","end":"10:14","startHours":9.236441154668206,"endHours":10.236441154668206,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:14","end":"11:14","startHours":10.236441154668206,"endHours":11.236441154668206,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:14","end":"12:14","startHours":11.236441154668206,"endHours":12.236441154668206,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:14","end":"13:14","startHours":12.236441154668206,"endHours":13.236441154668206,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:14","end":"14:14","startHours":13.236441154668206,"endHours":14.236441154668206,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:14","end":"15:14","startHours":14.236441154668206,"endHours":15.236441154668206,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:14","end":"16:14","startHours":15.236441154668206,"endHours":16.236441154668206,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:14","end":"17:14","startHours":16.236441154668206,"endHours":17.236441154668206,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:14","end":"18:14","startHours":17.236441154668206,"endHours":18.236441154668206,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:14","end":"19:14","startHours":18.236441154668206,"endHours":19.236441154668206,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:14","end":"20:14","startHours":19.236441154668206,"endHours":20.236441154668206,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:14","end":"21:14","startHours":20.236441154668206,"endHours":21.236441154668206,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:14","end":"22:14","startHours":21.236441154668206,"endHours":22.236441154668206,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:14","end":"23:14","startHours":22.236441154668206,"endHours":23.236441154668206,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:14","end":"00:14","startHours":23.236441154668206,"endHours":24.236441154668206,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:14","end":"01:14","startHours":24.236441154668206,"endHours":25.236441154668206,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:14","end":"02:14","startHours":25.236441154668206,"endHours":26.236441154668206,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:14","end":"03:14","startHours":26.236441154668206,"endHours":27.236441154668206,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:14","end":"04:14","startHours":27.236441154668206,"endHours":28.236441154668206,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:14","end":"05:14","startHours":28.236441154668206,"endHours":29.236441154668206,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:14","end":"06:14","startHours":29.236441154668206,"endHours":30.236441154668206,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Dhūmra","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":-21.678557824823827,"eotMinutes":10.131050600400467,"ayanamsa":25.4722}},"calendars":{"vikram_samvat":2172,"vikram_samvatsara":"Sarvadhāri","saka_samvat":2037,"saka_samvatsara":"Yuva","bengali_samvat":1522,"malayalam_era":1291,"nanakshahi_year":646,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Caturdaśī · Vikram 2172 Sarvadhāri · Śaka 2037 Yuva"},"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":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","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 1, 2115 CE · Ranchi, Jharkhand · Vidhyamitra","description":"December 1, 2115 CE for Ranchi, Jharkhand: Śukla Caturdaśī, sūryodaya 06:14, sūryāsta 17:03.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2115-12-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2115-12-01","sa":"https://sa.vidhyamitra.com/city/ranchi/2115-12-01","hi":"https://hi.vidhyamitra.com/city/ranchi/2115-12-01","x-default":"https://vidhyamitra.com/city/ranchi/2115-12-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-22T19:50:00.820Z","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":"2026-05-22T19:50:00.821Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-22T19:50:00.821Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}