{"id":"vidhyamitra:city-day:ranchi:2091-01-14:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2091-01-14","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2091-01-14","date_display":"January 14, 2091 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":2091,"month":1,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2484795.770833,"kali_year":5192,"ahargana":1896330.2708,"sun":{"sidereal_longitude":268.6265,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":197.835,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":289.2085,"elapsed_within_tithi_degrees":1.2085},"nakshatra":{"number":15,"name":"Svātī","pada":4,"moon_longitude":197.835,"elapsed_within_degrees":11.1683},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":106.4616},"karana":{"half_tithi_index":48,"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":2091,"month":1,"day":14,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2484795.770833,"ahargana":1896330.2708,"kali_year":5192,"ayanamsa_lahiri":25.1247,"grahas":{"sun":{"sidereal_longitude":268.96868599999993,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":198.63968599999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false,"latitude":3.664},"mars":{"sidereal_longitude":148.589786,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":253.913586,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":250.31698600000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"venus":{"sidereal_longitude":223.03168600000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":53.701685999999995,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":143.2965,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":323.2965,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","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":2091,"month":1,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2484795.770833,"kali_year":5192,"ahargana":1896330.2708,"sun":{"sidereal_longitude":268.6265,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":197.835,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":289.2085,"elapsed_within_tithi_degrees":1.2085},"nakshatra":{"number":15,"name":"Svātī","pada":4,"moon_longitude":197.835,"elapsed_within_degrees":11.1683},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":106.4616},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.664,"elongation":70.792},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.664,"opposition_distance":109.208}},"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":"06:33","sunsetLocal":"17:23","solarNoonLocal":"11:58","dayLengthHours":10.840606533513363,"dayLengthDisplay":"10 Hours 50 Mins 26 Secs","nightLengthDisplay":"13 Hours 09 Mins 34 Secs","moonriseLocal":"01:42","moonsetLocal":"12:51","rahuKala":{"name":"Rāhu Kāla","start":"16:02","end":"17:23","startHours":16.027879533389985,"endHours":17.382955350079154,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:58","end":"13:19","startHours":11.962652083322473,"endHours":13.317727900011644,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:40","end":"16:02","startHours":14.672803716700813,"endHours":16.027879533389985,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:04","end":"09:26","startHours":9.071823674385577,"endHours":9.433177225502689,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:00","end":"07:17","startHours":6.994040755462182,"endHours":7.283123596355871,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:36","end":"12:19","startHours":11.60129853220536,"endHours":12.324005634439585,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:06","end":"05:49","startHours":5.096934612097343,"endHours":5.819641714331567,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:38","end":"06:33","startHours":5.638964938773011,"endHours":6.5423488165657915,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:46","end":"14:30","startHours":13.769419838908034,"endHours":14.492126941142258,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:11","end":"17:35","startHours":17.182955350079155,"endHours":17.582955350079153,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:23","end":"17:50","startHours":17.382955350079154,"endHours":17.834647288975543,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:08","end":"18:53","startHours":17.132955350079154,"endHours":18.882955350079154,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:36","end":"00:19","startHours":23.601298532205362,"endHours":24.324005634439587,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:33","end":"07:54","startHours":6.5423488165657915,"endHours":7.897424633254962,"quality":"inauspicious"},{"name":"Chala","start":"07:54","end":"09:15","startHours":7.897424633254962,"endHours":9.252500449944133,"quality":"neutral"},{"name":"Labha","start":"09:15","end":"10:36","startHours":9.252500449944133,"endHours":10.607576266633302,"quality":"auspicious"},{"name":"Amṛta","start":"10:36","end":"11:58","startHours":10.607576266633302,"endHours":11.962652083322473,"quality":"auspicious"},{"name":"Kāla","start":"11:58","end":"13:19","startHours":11.962652083322473,"endHours":13.317727900011644,"quality":"inauspicious"},{"name":"Śubha","start":"13:19","end":"14:40","startHours":13.317727900011644,"endHours":14.672803716700813,"quality":"auspicious"},{"name":"Roga","start":"14:40","end":"16:02","startHours":14.672803716700813,"endHours":16.027879533389985,"quality":"inauspicious"},{"name":"Udveg","start":"16:02","end":"17:23","startHours":16.027879533389985,"endHours":17.382955350079154,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:23","end":"19:02","startHours":17.382955350079154,"endHours":19.027879533389985,"quality":"auspicious"},{"name":"Roga","start":"19:02","end":"20:40","startHours":19.027879533389985,"endHours":20.672803716700813,"quality":"inauspicious"},{"name":"Udveg","start":"20:40","end":"22:19","startHours":20.672803716700813,"endHours":22.317727900011644,"quality":"inauspicious"},{"name":"Chala","start":"22:19","end":"23:58","startHours":22.317727900011644,"endHours":23.962652083322475,"quality":"neutral"},{"name":"Labha","start":"23:58","end":"01:36","startHours":23.962652083322475,"endHours":25.607576266633302,"quality":"auspicious"},{"name":"Amṛta","start":"01:36","end":"03:15","startHours":25.607576266633302,"endHours":27.252500449944133,"quality":"auspicious"},{"name":"Kāla","start":"03:15","end":"04:54","startHours":27.252500449944133,"endHours":28.897424633254964,"quality":"inauspicious"},{"name":"Śubha","start":"04:54","end":"06:33","startHours":28.897424633254964,"endHours":30.54234881656579,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:33","end":"07:33","startHours":6.5423488165657915,"endHours":7.5423488165657915,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:33","end":"08:33","startHours":7.5423488165657915,"endHours":8.542348816565791,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:33","end":"09:33","startHours":8.542348816565791,"endHours":9.542348816565791,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:33","end":"10:33","startHours":9.542348816565791,"endHours":10.542348816565791,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:33","end":"11:33","startHours":10.542348816565791,"endHours":11.542348816565791,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:33","end":"12:33","startHours":11.542348816565791,"endHours":12.542348816565791,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:33","end":"13:33","startHours":12.542348816565791,"endHours":13.542348816565791,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:33","end":"14:33","startHours":13.542348816565791,"endHours":14.542348816565791,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:33","end":"15:33","startHours":14.542348816565791,"endHours":15.542348816565791,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:33","end":"16:33","startHours":15.542348816565791,"endHours":16.54234881656579,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:33","end":"17:33","startHours":16.54234881656579,"endHours":17.54234881656579,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:33","end":"18:33","startHours":17.54234881656579,"endHours":18.54234881656579,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:33","end":"19:33","startHours":18.54234881656579,"endHours":19.54234881656579,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:33","end":"20:33","startHours":19.54234881656579,"endHours":20.54234881656579,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:33","end":"21:33","startHours":20.54234881656579,"endHours":21.54234881656579,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:33","end":"22:33","startHours":21.54234881656579,"endHours":22.54234881656579,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:33","end":"23:33","startHours":22.54234881656579,"endHours":23.54234881656579,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:33","end":"00:33","startHours":23.54234881656579,"endHours":24.54234881656579,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:33","end":"01:33","startHours":24.54234881656579,"endHours":25.54234881656579,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:33","end":"02:33","startHours":25.54234881656579,"endHours":26.54234881656579,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:33","end":"03:33","startHours":26.54234881656579,"endHours":27.54234881656579,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:33","end":"04:33","startHours":27.54234881656579,"endHours":28.54234881656579,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:33","end":"05:33","startHours":28.54234881656579,"endHours":29.54234881656579,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:33","end":"06:33","startHours":29.54234881656579,"endHours":30.54234881656579,"planetary_lord":"Jupiter"}],"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","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"North","rahuVasa":"North-East","anandadiYoga":{"name":"Lumba","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-21.289625815026266,"eotMinutes":-8.99752499934842,"ayanamsa":25.1247}},"calendars":{"vikram_samvat":2148,"vikram_samvatsara":"Raktākṣī","saka_samvat":2013,"saka_samvatsara":"Virodhakṛt","bengali_samvat":1498,"malayalam_era":1267,"nanakshahi_year":622,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Daśamī · Vikram 2148 Raktākṣī · Śaka 2013 Virodhakṛt"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti.","vrata":false,"detection":{"sun_rashi_eve_of_ingress":"Makara"},"precedence":4}],"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":[]},"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 January 14, 2091 CE · Ranchi, Jharkhand · Vidhyamitra","description":"January 14, 2091 CE for Ranchi, Jharkhand: Kṛṣṇa Daśamī, sūryodaya 06:33, sūryāsta 17:23.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2091-01-14","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2091-01-14","sa":"https://sa.vidhyamitra.com/city/ranchi/2091-01-14","hi":"https://hi.vidhyamitra.com/city/ranchi/2091-01-14","x-default":"https://vidhyamitra.com/city/ranchi/2091-01-14"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T20:16:03.828Z","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":"2026-05-31T20:16:03.828Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T20:16:03.828Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}