{"id":"vidhyamitra:city-day:ranchi:2091-01-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2091-01-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2091-01-20","date_display":"January 20, 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":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2484801.770833,"kali_year":5192,"ahargana":1896336.2708,"sun":{"sidereal_longitude":274.7865,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":280.7266,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":5.9401,"elapsed_within_tithi_degrees":5.9401},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1,"moon_longitude":280.7266,"elapsed_within_degrees":0.7266},"yoga":{"number":15,"name":"Vajra","sum_longitude":195.513},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2484801.770833,"ahargana":1896336.2708,"kali_year":5192,"ayanamsa_lahiri":25.1249,"grahas":{"sun":{"sidereal_longitude":275.07905700000003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":279.10245699999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false,"latitude":3.0241},"mars":{"sidereal_longitude":149.221857,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":263.20495700000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":251.648457,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"venus":{"sidereal_longitude":229.96215699999993,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":53.37035700000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":142.9786,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":322.9786,"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":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2484801.770833,"kali_year":5192,"ahargana":1896336.2708,"sun":{"sidereal_longitude":274.7865,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":280.7266,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":5.9401,"elapsed_within_tithi_degrees":5.9401},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1,"moon_longitude":280.7266,"elapsed_within_degrees":0.7266},"yoga":{"number":15,"name":"Vajra","sum_longitude":195.513},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.024,"elongation":5.94},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.024,"opposition_distance":174.06}},"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":"06:32","sunsetLocal":"17:27","solarNoonLocal":"12:00","dayLengthHours":10.918355197460592,"dayLengthDisplay":"10 Hours 55 Mins 06 Secs","nightLengthDisplay":"13 Hours 04 Mins 54 Secs","moonriseLocal":"06:48","moonsetLocal":"17:44","rahuKala":{"name":"Rāhu Kāla","start":"09:16","end":"10:38","startHours":9.265842922922008,"endHours":10.630637322604581,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:22","end":"14:44","startHours":13.36022612196973,"endHours":14.725020521652304,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:32","end":"07:54","startHours":6.536254123556859,"endHours":7.901048523239433,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:05","end":"09:27","startHours":9.083870336297664,"endHours":9.44781550954635,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:59","end":"07:17","startHours":6.991185590117717,"endHours":7.282341728716666,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:38","end":"12:22","startHours":11.631486549038469,"endHours":12.35937689553584,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:05","end":"05:49","startHours":5.0804734305621135,"endHours":5.808363777059487,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:38","end":"06:32","startHours":5.626391190435143,"endHours":6.536254123556859,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:49","end":"14:33","startHours":13.815157588530589,"endHours":14.543047935027962,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:15","end":"17:39","startHours":17.25460932101745,"endHours":17.65460932101745,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:27","end":"17:55","startHours":17.45460932101745,"endHours":17.909540787578308,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:12","end":"18:57","startHours":17.20460932101745,"endHours":18.95460932101745,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:38","end":"00:22","startHours":23.631486549038467,"endHours":24.359376895535842,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:32","end":"07:54","startHours":6.536254123556859,"endHours":7.901048523239433,"quality":"inauspicious"},{"name":"Śubha","start":"07:54","end":"09:16","startHours":7.901048523239433,"endHours":9.265842922922008,"quality":"auspicious"},{"name":"Roga","start":"09:16","end":"10:38","startHours":9.265842922922008,"endHours":10.630637322604581,"quality":"inauspicious"},{"name":"Udveg","start":"10:38","end":"12:00","startHours":10.630637322604581,"endHours":11.995431722287154,"quality":"inauspicious"},{"name":"Chala","start":"12:00","end":"13:22","startHours":11.995431722287154,"endHours":13.36022612196973,"quality":"neutral"},{"name":"Labha","start":"13:22","end":"14:44","startHours":13.36022612196973,"endHours":14.725020521652304,"quality":"auspicious"},{"name":"Amṛta","start":"14:44","end":"16:05","startHours":14.725020521652304,"endHours":16.089814921334877,"quality":"auspicious"},{"name":"Kāla","start":"16:05","end":"17:27","startHours":16.089814921334877,"endHours":17.45460932101745,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:27","end":"19:05","startHours":17.45460932101745,"endHours":19.089814921334877,"quality":"auspicious"},{"name":"Amṛta","start":"19:05","end":"20:44","startHours":19.089814921334877,"endHours":20.725020521652304,"quality":"auspicious"},{"name":"Kāla","start":"20:44","end":"22:22","startHours":20.725020521652304,"endHours":22.360226121969728,"quality":"inauspicious"},{"name":"Śubha","start":"22:22","end":"00:00","startHours":22.360226121969728,"endHours":23.995431722287154,"quality":"auspicious"},{"name":"Roga","start":"00:00","end":"01:38","startHours":23.995431722287154,"endHours":25.63063732260458,"quality":"inauspicious"},{"name":"Udveg","start":"01:38","end":"03:16","startHours":25.63063732260458,"endHours":27.265842922922005,"quality":"inauspicious"},{"name":"Chala","start":"03:16","end":"04:54","startHours":27.265842922922005,"endHours":28.90104852323943,"quality":"neutral"},{"name":"Labha","start":"04:54","end":"06:32","startHours":28.90104852323943,"endHours":30.53625412355686,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:32","end":"07:32","startHours":6.536254123556859,"endHours":7.536254123556859,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:32","end":"08:32","startHours":7.536254123556859,"endHours":8.536254123556859,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:32","end":"09:32","startHours":8.536254123556859,"endHours":9.536254123556859,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:32","end":"10:32","startHours":9.536254123556859,"endHours":10.536254123556859,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:32","end":"11:32","startHours":10.536254123556859,"endHours":11.536254123556859,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:32","end":"12:32","startHours":11.536254123556859,"endHours":12.536254123556859,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:32","end":"13:32","startHours":12.536254123556859,"endHours":13.536254123556859,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:32","end":"14:32","startHours":13.536254123556859,"endHours":14.536254123556859,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:32","end":"15:32","startHours":14.536254123556859,"endHours":15.536254123556859,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:32","end":"16:32","startHours":15.536254123556859,"endHours":16.53625412355686,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:32","end":"17:32","startHours":16.53625412355686,"endHours":17.53625412355686,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:32","end":"18:32","startHours":17.53625412355686,"endHours":18.53625412355686,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:32","end":"19:32","startHours":18.53625412355686,"endHours":19.53625412355686,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:32","end":"20:32","startHours":19.53625412355686,"endHours":20.53625412355686,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:32","end":"21:32","startHours":20.53625412355686,"endHours":21.53625412355686,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:32","end":"22:32","startHours":21.53625412355686,"endHours":22.53625412355686,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:32","end":"23:32","startHours":22.53625412355686,"endHours":23.53625412355686,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:32","end":"00:32","startHours":23.53625412355686,"endHours":24.53625412355686,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:32","end":"01:32","startHours":24.53625412355686,"endHours":25.53625412355686,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:32","end":"02:32","startHours":25.53625412355686,"endHours":26.53625412355686,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:32","end":"03:32","startHours":26.53625412355686,"endHours":27.53625412355686,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:32","end":"04:32","startHours":27.53625412355686,"endHours":28.53625412355686,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:32","end":"05:32","startHours":28.53625412355686,"endHours":29.53625412355686,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:32","end":"06:32","startHours":29.53625412355686,"endHours":30.53625412355686,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"East","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"tropicalRitu":"Śiśira (Winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-20.10467549212806,"eotMinutes":-10.9643033372293,"ayanamsa":25.1249}},"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 Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Māgha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Pratipada · Vikram 2148 Raktākṣī · Śaka 2013 Virodhakṛt"},"festivals":[{"id":"magha-gupta-navratri-start","name":"Māgha Gupta Navrātri Start","name_sanskrit":"माघ गुप्त नवरात्रि आरम्भ","tradition":"Shakta","associated_deity":"Devī (10 Mahāvidyās)","significance":"Hidden (gupta) Navrātri for advanced sādhanā of 10 Mahāvidyās.","vrata":true,"detection":{"tithi_number":1,"tithi_paksha":"Śukla","lunar_month":"Māgha"},"precedence":3}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 20, 2091 CE · Ranchi, Jharkhand · Vidhyamitra","description":"January 20, 2091 CE for Ranchi, Jharkhand: Śukla Pratipada, sūryodaya 06:32, sūryāsta 17:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2091-01-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2091-01-20","sa":"https://sa.vidhyamitra.com/city/ranchi/2091-01-20","hi":"https://hi.vidhyamitra.com/city/ranchi/2091-01-20","x-default":"https://vidhyamitra.com/city/ranchi/2091-01-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T16:23:00.587Z","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":"2026-05-31T16:23:00.587Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T16:23:00.587Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}