{"id":"vidhyamitra:city-day:ranchi:1876-01-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/1876-01-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1876-01-07","date_display":"January 7, 1876 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":1876,"month":1,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2406260.770833,"kali_year":4977,"ahargana":1817795.2708,"sun":{"sidereal_longitude":264.139,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":28.3382,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":124.1992,"elapsed_within_tithi_degrees":4.1992},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":28.3382,"elapsed_within_degrees":1.6715},"yoga":{"number":22,"name":"Sādhya","sum_longitude":292.4771},"karana":{"half_tithi_index":20,"name":"Vaṇija"},"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":1876,"month":1,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2406260.770833,"ahargana":1817795.2708,"kali_year":4977,"ayanamsa_lahiri":22.121,"grahas":{"sun":{"sidereal_longitude":264.01660100000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":24.967601000000002,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false,"latitude":3.1175},"mars":{"sidereal_longitude":332.636701,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":272.885401,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":214.49880099999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":291.580101,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":302.70080099999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":344.4587,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":164.4587,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"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":1876,"month":1,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2406260.770833,"kali_year":4977,"ahargana":1817795.2708,"sun":{"sidereal_longitude":264.139,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":28.3382,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":124.1992,"elapsed_within_tithi_degrees":4.1992},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":28.3382,"elapsed_within_degrees":1.6715},"yoga":{"number":22,"name":"Sādhya","sum_longitude":292.4771},"karana":{"half_tithi_index":20,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.117,"elongation":124.199},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.117,"opposition_distance":55.801}},"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":"17:18","solarNoonLocal":"11:55","dayLengthHours":10.762415334225508,"dayLengthDisplay":"10 Hours 45 Mins 45 Secs","nightLengthDisplay":"13 Hours 14 Mins 15 Secs","moonriseLocal":"13:26","moonsetLocal":"02:32","rahuKala":{"name":"Rāhu Kāla","start":"10:34","end":"11:55","startHours":10.572259321678807,"endHours":11.917561238456994,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:36","end":"15:57","startHours":14.608165072013371,"endHours":15.953466988791561,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:53","end":"09:14","startHours":7.881655488122429,"endHours":9.226957404900617,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:03","end":"09:24","startHours":9.047583815996859,"endHours":9.406330993804376,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:59","end":"07:16","startHours":6.984787543603637,"endHours":7.27178528584965,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:34","end":"12:17","startHours":11.558814060649476,"endHours":12.276308416264511,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:06","end":"05:49","startHours":5.101364860114172,"endHours":5.818859215729207,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:38","end":"06:32","startHours":5.639485626825448,"endHours":6.53635357134424,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:43","end":"14:26","startHours":13.711297127494579,"endHours":14.428791483109613,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:06","end":"17:30","startHours":17.09876890556975,"endHours":17.498768905569747,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:18","end":"17:45","startHours":17.298768905569748,"endHours":17.747202877829146,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:03","end":"18:48","startHours":17.048768905569748,"endHours":18.798768905569748,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:34","end":"00:17","startHours":23.55881406064948,"endHours":24.27630841626451,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:32","end":"07:53","startHours":6.53635357134424,"endHours":7.881655488122429,"quality":"neutral"},{"name":"Labha","start":"07:53","end":"09:14","startHours":7.881655488122429,"endHours":9.226957404900617,"quality":"auspicious"},{"name":"Amṛta","start":"09:14","end":"10:34","startHours":9.226957404900617,"endHours":10.572259321678807,"quality":"auspicious"},{"name":"Kāla","start":"10:34","end":"11:55","startHours":10.572259321678807,"endHours":11.917561238456994,"quality":"inauspicious"},{"name":"Śubha","start":"11:55","end":"13:16","startHours":11.917561238456994,"endHours":13.262863155235184,"quality":"auspicious"},{"name":"Roga","start":"13:16","end":"14:36","startHours":13.262863155235184,"endHours":14.608165072013371,"quality":"inauspicious"},{"name":"Udveg","start":"14:36","end":"15:57","startHours":14.608165072013371,"endHours":15.953466988791561,"quality":"inauspicious"},{"name":"Chala","start":"15:57","end":"17:18","startHours":15.953466988791561,"endHours":17.298768905569748,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:18","end":"18:57","startHours":17.298768905569748,"endHours":18.95346698879156,"quality":"inauspicious"},{"name":"Udveg","start":"18:57","end":"20:36","startHours":18.95346698879156,"endHours":20.60816507201337,"quality":"inauspicious"},{"name":"Chala","start":"20:36","end":"22:16","startHours":20.60816507201337,"endHours":22.26286315523518,"quality":"neutral"},{"name":"Labha","start":"22:16","end":"23:55","startHours":22.26286315523518,"endHours":23.917561238456994,"quality":"auspicious"},{"name":"Amṛta","start":"23:55","end":"01:34","startHours":23.917561238456994,"endHours":25.572259321678807,"quality":"auspicious"},{"name":"Kāla","start":"01:34","end":"03:14","startHours":25.572259321678807,"endHours":27.226957404900617,"quality":"inauspicious"},{"name":"Śubha","start":"03:14","end":"04:53","startHours":27.226957404900617,"endHours":28.881655488122426,"quality":"auspicious"},{"name":"Roga","start":"04:53","end":"06:32","startHours":28.881655488122426,"endHours":30.53635357134424,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:32","end":"07:32","startHours":6.53635357134424,"endHours":7.53635357134424,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:32","end":"08:32","startHours":7.53635357134424,"endHours":8.53635357134424,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:32","end":"09:32","startHours":8.53635357134424,"endHours":9.53635357134424,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:32","end":"10:32","startHours":9.53635357134424,"endHours":10.53635357134424,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:32","end":"11:32","startHours":10.53635357134424,"endHours":11.53635357134424,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:32","end":"12:32","startHours":11.53635357134424,"endHours":12.53635357134424,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:32","end":"13:32","startHours":12.53635357134424,"endHours":13.53635357134424,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:32","end":"14:32","startHours":13.53635357134424,"endHours":14.53635357134424,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:32","end":"15:32","startHours":14.53635357134424,"endHours":15.53635357134424,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:32","end":"16:32","startHours":15.53635357134424,"endHours":16.53635357134424,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:32","end":"17:32","startHours":16.53635357134424,"endHours":17.53635357134424,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:32","end":"18:32","startHours":17.53635357134424,"endHours":18.53635357134424,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:32","end":"19:32","startHours":18.53635357134424,"endHours":19.53635357134424,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:32","end":"20:32","startHours":19.53635357134424,"endHours":20.53635357134424,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:32","end":"21:32","startHours":20.53635357134424,"endHours":21.53635357134424,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:32","end":"22:32","startHours":21.53635357134424,"endHours":22.53635357134424,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:32","end":"23:32","startHours":22.53635357134424,"endHours":23.53635357134424,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:32","end":"00:32","startHours":23.53635357134424,"endHours":24.53635357134424,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:32","end":"01:32","startHours":24.53635357134424,"endHours":25.53635357134424,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:32","end":"02:32","startHours":25.53635357134424,"endHours":26.53635357134424,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:32","end":"03:32","startHours":26.53635357134424,"endHours":27.53635357134424,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:32","end":"04:32","startHours":27.53635357134424,"endHours":28.53635357134424,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:32","end":"05:32","startHours":28.53635357134424,"endHours":29.53635357134424,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:32","end":"06:32","startHours":29.53635357134424,"endHours":30.53635357134424,"planetary_lord":"Mars"}],"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"South-East","anandadiYoga":{"name":"Gada","quality":"Inauspicious"},"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":-22.46137898534589,"eotMinutes":-6.292074307419696,"ayanamsa":22.121}},"calendars":{"vikram_samvat":1933,"vikram_samvatsara":"Virodhi","saka_samvat":1798,"saka_samvatsara":"Dhātṛ","bengali_samvat":1283,"malayalam_era":1052,"nanakshahi_year":407,"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 Ekādaśī · Vikram 1933 Virodhi · Śaka 1798 Dhātṛ"},"festivals":[{"id":"putrada-ekadashi","name":"Pauṣa Putradā Ekādaśī","name_sanskrit":"पौष पुत्रदा एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Ekādaśī granting putra-prāpti.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Pauṣa"},"precedence":4},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5}],"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 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 7, 1876 CE · Ranchi, Jharkhand · Vidhyamitra","description":"January 7, 1876 CE for Ranchi, Jharkhand: Śukla Ekādaśī, sūryodaya 06:32, sūryāsta 17:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/1876-01-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/1876-01-07","sa":"https://sa.vidhyamitra.com/city/ranchi/1876-01-07","hi":"https://hi.vidhyamitra.com/city/ranchi/1876-01-07","x-default":"https://vidhyamitra.com/city/ranchi/1876-01-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T23:08:15.972Z","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":"2026-06-01T23:08:15.972Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T23:08:15.972Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}