{"id":"vidhyamitra:city-day:ranchi:1872-01-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/1872-01-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1872-01-20","date_display":"January 20, 1872 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":1872,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2404812.770833,"kali_year":4973,"ahargana":1816347.2708,"sun":{"sidereal_longitude":277.5227,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":33.2808,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":115.7581,"elapsed_within_tithi_degrees":7.7581},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2,"moon_longitude":33.2808,"elapsed_within_degrees":6.6141},"yoga":{"number":24,"name":"Śukla","sum_longitude":310.8034},"karana":{"half_tithi_index":19,"name":"Gara"},"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":1872,"month":1,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2404812.770833,"ahargana":1816347.2708,"kali_year":4973,"ayanamsa_lahiri":22.0657,"grahas":{"sun":{"sidereal_longitude":277.28442500000006,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":35.78592500000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false,"latitude":-2.104},"mars":{"sidereal_longitude":306.89262499999995,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":254.89772500000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":93.42312500000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":true},"venus":{"sidereal_longitude":236.52542500000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":263.20062499999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":61.1807,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":241.1807,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":1872,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2404812.770833,"kali_year":4973,"ahargana":1816347.2708,"sun":{"sidereal_longitude":277.5227,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":33.2808,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":115.7581,"elapsed_within_tithi_degrees":7.7581},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2,"moon_longitude":33.2808,"elapsed_within_degrees":6.6141},"yoga":{"number":24,"name":"Śukla","sum_longitude":310.8034},"karana":{"half_tithi_index":19,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.104,"elongation":115.758},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.104,"opposition_distance":64.242}},"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":"17:27","solarNoonLocal":"12:00","dayLengthHours":10.906645885350054,"dayLengthDisplay":"10 Hours 54 Mins 24 Secs","nightLengthDisplay":"13 Hours 05 Mins 36 Secs","moonriseLocal":"13:15","moonsetLocal":"02:32","rahuKala":{"name":"Rāhu Kāla","start":"09:16","end":"10:38","startHours":9.26877025094964,"endHours":10.632100986618397,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:22","end":"14:43","startHours":13.35876245795591,"endHours":14.722093193624668,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:33","end":"07:54","startHours":6.542108779612127,"endHours":7.905439515280883,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:05","end":"09:27","startHours":9.08699281952714,"endHours":9.450547682372141,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:00","end":"07:17","startHours":6.996552358168379,"endHours":7.28739624844438,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:38","end":"12:22","startHours":11.631876859442153,"endHours":12.358986585132156,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:05","end":"05:49","startHours":5.087889328232119,"endHours":5.814999053922123,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:38","end":"06:33","startHours":5.633221622499622,"endHours":6.542108779612127,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:49","end":"14:32","startHours":13.813206036512163,"endHours":14.540315762202166,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:15","end":"17:39","startHours":17.24875466496218,"endHours":17.64875466496218,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:27","end":"17:54","startHours":17.44875466496218,"endHours":17.903198243518432,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:12","end":"18:57","startHours":17.19875466496218,"endHours":18.94875466496218,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:38","end":"00:22","startHours":23.63187685944215,"endHours":24.358986585132158,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:33","end":"07:54","startHours":6.542108779612127,"endHours":7.905439515280883,"quality":"inauspicious"},{"name":"Śubha","start":"07:54","end":"09:16","startHours":7.905439515280883,"endHours":9.26877025094964,"quality":"auspicious"},{"name":"Roga","start":"09:16","end":"10:38","startHours":9.26877025094964,"endHours":10.632100986618397,"quality":"inauspicious"},{"name":"Udveg","start":"10:38","end":"12:00","startHours":10.632100986618397,"endHours":11.995431722287154,"quality":"inauspicious"},{"name":"Chala","start":"12:00","end":"13:22","startHours":11.995431722287154,"endHours":13.35876245795591,"quality":"neutral"},{"name":"Labha","start":"13:22","end":"14:43","startHours":13.35876245795591,"endHours":14.722093193624668,"quality":"auspicious"},{"name":"Amṛta","start":"14:43","end":"16:05","startHours":14.722093193624668,"endHours":16.085423929293423,"quality":"auspicious"},{"name":"Kāla","start":"16:05","end":"17:27","startHours":16.085423929293423,"endHours":17.44875466496218,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:27","end":"19:05","startHours":17.44875466496218,"endHours":19.085423929293423,"quality":"auspicious"},{"name":"Amṛta","start":"19:05","end":"20:43","startHours":19.085423929293423,"endHours":20.722093193624666,"quality":"auspicious"},{"name":"Kāla","start":"20:43","end":"22:22","startHours":20.722093193624666,"endHours":22.358762457955912,"quality":"inauspicious"},{"name":"Śubha","start":"22:22","end":"00:00","startHours":22.358762457955912,"endHours":23.995431722287154,"quality":"auspicious"},{"name":"Roga","start":"00:00","end":"01:38","startHours":23.995431722287154,"endHours":25.632100986618397,"quality":"inauspicious"},{"name":"Udveg","start":"01:38","end":"03:16","startHours":25.632100986618397,"endHours":27.26877025094964,"quality":"inauspicious"},{"name":"Chala","start":"03:16","end":"04:54","startHours":27.26877025094964,"endHours":28.905439515280882,"quality":"neutral"},{"name":"Labha","start":"04:54","end":"06:33","startHours":28.905439515280882,"endHours":30.54210877961213,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:33","end":"07:33","startHours":6.542108779612127,"endHours":7.542108779612127,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:33","end":"08:33","startHours":7.542108779612127,"endHours":8.542108779612127,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:33","end":"09:33","startHours":8.542108779612127,"endHours":9.542108779612127,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:33","end":"10:33","startHours":9.542108779612127,"endHours":10.542108779612127,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:33","end":"11:33","startHours":10.542108779612127,"endHours":11.542108779612127,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:33","end":"12:33","startHours":11.542108779612127,"endHours":12.542108779612127,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:33","end":"13:33","startHours":12.542108779612127,"endHours":13.542108779612127,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:33","end":"14:33","startHours":13.542108779612127,"endHours":14.542108779612127,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:33","end":"15:33","startHours":14.542108779612127,"endHours":15.542108779612127,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:33","end":"16:33","startHours":15.542108779612127,"endHours":16.54210877961213,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:33","end":"17:33","startHours":16.54210877961213,"endHours":17.54210877961213,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:33","end":"18:33","startHours":17.54210877961213,"endHours":18.54210877961213,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:33","end":"19:33","startHours":18.54210877961213,"endHours":19.54210877961213,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:33","end":"20:33","startHours":19.54210877961213,"endHours":20.54210877961213,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:33","end":"21:33","startHours":20.54210877961213,"endHours":21.54210877961213,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:33","end":"22:33","startHours":21.54210877961213,"endHours":22.54210877961213,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:33","end":"23:33","startHours":22.54210877961213,"endHours":23.54210877961213,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:33","end":"00:33","startHours":23.54210877961213,"endHours":24.54210877961213,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:33","end":"01:33","startHours":24.54210877961213,"endHours":25.54210877961213,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:33","end":"02:33","startHours":25.54210877961213,"endHours":26.54210877961213,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:33","end":"03:33","startHours":26.54210877961213,"endHours":27.54210877961213,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:33","end":"04:33","startHours":27.54210877961213,"endHours":28.54210877961213,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:33","end":"05:33","startHours":28.54210877961213,"endHours":29.54210877961213,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:33","end":"06:33","startHours":29.54210877961213,"endHours":30.54210877961213,"planetary_lord":"Mercury"}],"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":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"East","anandadiYoga":{"name":"Sushira","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-20.28437336412988,"eotMinutes":-10.9643033372293,"ayanamsa":22.0657}},"calendars":{"vikram_samvat":1929,"vikram_samvatsara":"Pārthiva","saka_samvat":1794,"saka_samvatsara":"Aṅgirasa","bengali_samvat":1279,"malayalam_era":1048,"nanakshahi_year":403,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Daśamī · Vikram 1929 Pārthiva · Śaka 1794 Aṅgirasa"},"festivals":[],"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":[{"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 January 20, 1872 CE · Ranchi, Jharkhand · Vidhyamitra","description":"January 20, 1872 CE for Ranchi, Jharkhand: Śukla Daśamī, sūryodaya 06:33, sūryāsta 17:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/1872-01-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/1872-01-20","sa":"https://sa.vidhyamitra.com/city/ranchi/1872-01-20","hi":"https://hi.vidhyamitra.com/city/ranchi/1872-01-20","x-default":"https://vidhyamitra.com/city/ranchi/1872-01-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T02:22:43.890Z","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":"2026-06-03T02:22:43.890Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T02:22:43.890Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}