{"id":"vidhyamitra:city-day:ranchi:1901-01-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/1901-01-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1901-01-04","date_display":"January 4, 1901 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":1901,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2415388.770833,"kali_year":5002,"ahargana":1826923.2708,"sun":{"sidereal_longitude":260.5732,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":70.2554,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":169.6823,"elapsed_within_tithi_degrees":1.6823},"nakshatra":{"number":6,"name":"Ārdrā","pada":2,"moon_longitude":70.2554,"elapsed_within_degrees":3.5888},"yoga":{"number":25,"name":"Brahma","sum_longitude":330.8286},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":1901,"month":1,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2415388.770833,"ahargana":1826923.2708,"kali_year":5002,"ayanamsa_lahiri":22.4702,"grahas":{"sun":{"sidereal_longitude":260.53924400000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":68.35384399999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false,"latitude":-2.2102},"mars":{"sidereal_longitude":140.885044,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":251.254544,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":245.65234399999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"venus":{"sidereal_longitude":233.44354399999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":256.776344,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":220.8133,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":40.8133,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","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":1901,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2415388.770833,"kali_year":5002,"ahargana":1826923.2708,"sun":{"sidereal_longitude":260.5732,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":70.2554,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":169.6823,"elapsed_within_tithi_degrees":1.6823},"nakshatra":{"number":6,"name":"Ārdrā","pada":2,"moon_longitude":70.2554,"elapsed_within_degrees":3.5888},"yoga":{"number":25,"name":"Brahma","sum_longitude":330.8286},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.21,"elongation":169.682},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.21,"opposition_distance":10.318}},"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":"17:16","solarNoonLocal":"11:54","dayLengthHours":10.739526422414047,"dayLengthDisplay":"10 Hours 44 Mins 22 Secs","nightLengthDisplay":"13 Hours 15 Mins 38 Secs","moonriseLocal":"16:19","moonsetLocal":"05:51","rahuKala":{"name":"Rāhu Kāla","start":"10:33","end":"11:54","startHours":10.553984311620678,"endHours":11.896425114422435,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:35","end":"15:55","startHours":14.581306720025946,"endHours":15.923747522827702,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:52","end":"09:13","startHours":7.869102706017166,"endHours":9.211543508818922,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:02","end":"09:23","startHours":9.032551401778688,"endHours":9.390535615859157,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:58","end":"07:16","startHours":6.974142170815996,"endHours":7.26052954208037,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:32","end":"12:15","startHours":11.538440900341966,"endHours":12.254409328502904,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:06","end":"05:49","startHours":5.094725046893538,"endHours":5.8106934750544745,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:38","end":"06:32","startHours":5.63170136801424,"endHours":6.526661903215411,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:41","end":"14:24","startHours":13.686346184824774,"endHours":14.40231461298571,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:04","end":"17:28","startHours":17.066188325629458,"endHours":17.466188325629457,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:16","end":"17:43","startHours":17.266188325629457,"endHours":17.713668593230043,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:01","end":"18:46","startHours":17.016188325629457,"endHours":18.766188325629457,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:32","end":"00:15","startHours":23.538440900341968,"endHours":24.254409328502902,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:32","end":"07:52","startHours":6.526661903215411,"endHours":7.869102706017166,"quality":"neutral"},{"name":"Labha","start":"07:52","end":"09:13","startHours":7.869102706017166,"endHours":9.211543508818922,"quality":"auspicious"},{"name":"Amṛta","start":"09:13","end":"10:33","startHours":9.211543508818922,"endHours":10.553984311620678,"quality":"auspicious"},{"name":"Kāla","start":"10:33","end":"11:54","startHours":10.553984311620678,"endHours":11.896425114422435,"quality":"inauspicious"},{"name":"Śubha","start":"11:54","end":"13:14","startHours":11.896425114422435,"endHours":13.238865917224189,"quality":"auspicious"},{"name":"Roga","start":"13:14","end":"14:35","startHours":13.238865917224189,"endHours":14.581306720025946,"quality":"inauspicious"},{"name":"Udveg","start":"14:35","end":"15:55","startHours":14.581306720025946,"endHours":15.923747522827702,"quality":"inauspicious"},{"name":"Chala","start":"15:55","end":"17:16","startHours":15.923747522827702,"endHours":17.266188325629457,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:16","end":"18:55","startHours":17.266188325629457,"endHours":18.9237475228277,"quality":"inauspicious"},{"name":"Udveg","start":"18:55","end":"20:35","startHours":18.9237475228277,"endHours":20.581306720025946,"quality":"inauspicious"},{"name":"Chala","start":"20:35","end":"22:14","startHours":20.581306720025946,"endHours":22.23886591722419,"quality":"neutral"},{"name":"Labha","start":"22:14","end":"23:54","startHours":22.23886591722419,"endHours":23.896425114422435,"quality":"auspicious"},{"name":"Amṛta","start":"23:54","end":"01:33","startHours":23.896425114422435,"endHours":25.553984311620678,"quality":"auspicious"},{"name":"Kāla","start":"01:33","end":"03:13","startHours":25.553984311620678,"endHours":27.21154350881892,"quality":"inauspicious"},{"name":"Śubha","start":"03:13","end":"04:52","startHours":27.21154350881892,"endHours":28.869102706017166,"quality":"auspicious"},{"name":"Roga","start":"04:52","end":"06:32","startHours":28.869102706017166,"endHours":30.526661903215413,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:32","end":"07:32","startHours":6.526661903215411,"endHours":7.526661903215411,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:32","end":"08:32","startHours":7.526661903215411,"endHours":8.52666190321541,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:32","end":"09:32","startHours":8.52666190321541,"endHours":9.52666190321541,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:32","end":"10:32","startHours":9.52666190321541,"endHours":10.52666190321541,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:32","end":"11:32","startHours":10.52666190321541,"endHours":11.52666190321541,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:32","end":"12:32","startHours":11.52666190321541,"endHours":12.52666190321541,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:32","end":"13:32","startHours":12.52666190321541,"endHours":13.52666190321541,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:32","end":"14:32","startHours":13.52666190321541,"endHours":14.52666190321541,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:32","end":"15:32","startHours":14.52666190321541,"endHours":15.52666190321541,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:32","end":"16:32","startHours":15.52666190321541,"endHours":16.526661903215413,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:32","end":"17:32","startHours":16.526661903215413,"endHours":17.526661903215413,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:32","end":"18:32","startHours":17.526661903215413,"endHours":18.526661903215413,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:32","end":"19:32","startHours":18.526661903215413,"endHours":19.526661903215413,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:32","end":"20:32","startHours":19.526661903215413,"endHours":20.526661903215413,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:32","end":"21:32","startHours":20.526661903215413,"endHours":21.526661903215413,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:32","end":"22:32","startHours":21.526661903215413,"endHours":22.526661903215413,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:32","end":"23:32","startHours":22.526661903215413,"endHours":23.526661903215413,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:32","end":"00:32","startHours":23.526661903215413,"endHours":24.526661903215413,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:32","end":"01:32","startHours":24.526661903215413,"endHours":25.526661903215413,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:32","end":"02:32","startHours":25.526661903215413,"endHours":26.526661903215413,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:32","end":"03:32","startHours":26.526661903215413,"endHours":27.526661903215413,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:32","end":"04:32","startHours":27.526661903215413,"endHours":28.526661903215413,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:32","end":"05:32","startHours":28.526661903215413,"endHours":29.526661903215413,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:32","end":"06:32","startHours":29.526661903215413,"endHours":30.526661903215413,"planetary_lord":"Mars"}],"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","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South","rahuVasa":"South-East","anandadiYoga":{"name":"Cara","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":-22.800513684842006,"eotMinutes":-5.02390686534617,"ayanamsa":22.4702}},"calendars":{"vikram_samvat":1958,"vikram_samvatsara":"Ānanda","saka_samvat":1823,"saka_samvatsara":"Plava","bengali_samvat":1308,"malayalam_era":1077,"nanakshahi_year":432,"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":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Pūrṇimā · Vikram 1958 Ānanda · Śaka 1823 Plava"},"festivals":[{"id":"paush-purnima","name":"Pauṣa Pūrṇimā (Śākambharī Devī Jayantī)","name_sanskrit":"पौष पूर्णिमा","tradition":"Pan-Hindu","associated_deity":"Devī Śākambharī","significance":"Manifestation of Devī Śākambharī (vegetation-mother).","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Pauṣa"},"precedence":3}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 Śukla Pūrṇimā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Śukla Pūrṇimā","url":"/day/-0562-04-11","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 4, 1901 CE · Ranchi, Jharkhand · Vidhyamitra","description":"January 4, 1901 CE for Ranchi, Jharkhand: Śukla Pūrṇimā, sūryodaya 06:32, sūryāsta 17:16.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/1901-01-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/1901-01-04","sa":"https://sa.vidhyamitra.com/city/ranchi/1901-01-04","hi":"https://hi.vidhyamitra.com/city/ranchi/1901-01-04","x-default":"https://vidhyamitra.com/city/ranchi/1901-01-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T03:48:57.371Z","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":"2026-06-02T03:48:57.371Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T03:48:57.371Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}