{"id":"vidhyamitra:city-day:ranchi:1875-04-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/1875-04-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1875-04-01","date_display":"April 1, 1875 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":1875,"month":4,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2405979.770833,"kali_year":4976,"ahargana":1817514.2708,"sun":{"sidereal_longitude":349.2582,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":282.9905,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":293.7322,"elapsed_within_tithi_degrees":5.7322},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1,"moon_longitude":282.9905,"elapsed_within_degrees":2.9905},"yoga":{"number":21,"name":"Siddha","sum_longitude":272.2487},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":1875,"month":4,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2405979.770833,"ahargana":1817514.2708,"kali_year":4976,"ayanamsa_lahiri":22.1103,"grahas":{"sun":{"sidereal_longitude":348.804637,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":280.38703699999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false,"latitude":-4.3728},"mars":{"sidereal_longitude":242.87213700000007,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":322.9726370000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":187.98453700000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":true},"venus":{"sidereal_longitude":307.779037,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":301.727937,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":359.3474,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":179.3474,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","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":1875,"month":4,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2405979.770833,"kali_year":4976,"ahargana":1817514.2708,"sun":{"sidereal_longitude":349.2582,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":282.9905,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":293.7322,"elapsed_within_tithi_degrees":5.7322},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1,"moon_longitude":282.9905,"elapsed_within_degrees":2.9905},"yoga":{"number":21,"name":"Siddha","sum_longitude":272.2487},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.373,"elongation":66.268},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.373,"opposition_distance":113.732}},"eclipse_window_40days":[{"offset_days":-10,"type":"lunar","occurs":true,"moon_latitude":1.425,"opposition_distance":2.018}]},"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":"05:42","sunsetLocal":"18:04","solarNoonLocal":"11:53","dayLengthHours":12.370465242264567,"dayLengthDisplay":"12 Hours 22 Mins 14 Secs","nightLengthDisplay":"11 Hours 37 Mins 46 Secs","moonriseLocal":"01:52","moonsetLocal":"12:47","rahuKala":{"name":"Rāhu Kāla","start":"13:26","end":"14:59","startHours":13.431406423635595,"endHours":14.977714578918667,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:42","end":"07:15","startHours":5.699865647220241,"endHours":7.246173802503312,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:48","end":"10:20","startHours":8.792481957786382,"endHours":10.338790113069454,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:35","end":"09:00","startHours":8.586307537081973,"endHours":8.998656378490793,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:13","end":"06:33","startHours":6.215301698981264,"endHours":6.545180772108319,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:28","end":"12:18","startHours":11.472749426943704,"endHours":12.297447109761343,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:03","end":"04:53","startHours":4.050470281584966,"endHours":4.875167964402603,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:40","end":"05:42","startHours":4.6689935436981935,"endHours":5.699865647220241,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:57","end":"14:46","startHours":13.946842475396618,"endHours":14.771540158214256,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:52","end":"18:16","startHours":17.87033088948481,"endHours":18.270330889484807,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:04","end":"18:35","startHours":18.070330889484808,"endHours":18.585766941245833,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:49","end":"19:34","startHours":17.820330889484808,"endHours":19.570330889484808,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:28","end":"00:18","startHours":23.472749426943704,"endHours":24.29744710976134,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:42","end":"07:15","startHours":5.699865647220241,"endHours":7.246173802503312,"quality":"auspicious"},{"name":"Roga","start":"07:15","end":"08:48","startHours":7.246173802503312,"endHours":8.792481957786382,"quality":"inauspicious"},{"name":"Udveg","start":"08:48","end":"10:20","startHours":8.792481957786382,"endHours":10.338790113069454,"quality":"inauspicious"},{"name":"Chala","start":"10:20","end":"11:53","startHours":10.338790113069454,"endHours":11.885098268352525,"quality":"neutral"},{"name":"Labha","start":"11:53","end":"13:26","startHours":11.885098268352525,"endHours":13.431406423635595,"quality":"auspicious"},{"name":"Amṛta","start":"13:26","end":"14:59","startHours":13.431406423635595,"endHours":14.977714578918667,"quality":"auspicious"},{"name":"Kāla","start":"14:59","end":"16:31","startHours":14.977714578918667,"endHours":16.524022734201736,"quality":"inauspicious"},{"name":"Śubha","start":"16:31","end":"18:04","startHours":16.524022734201736,"endHours":18.070330889484808,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:04","end":"19:31","startHours":18.070330889484808,"endHours":19.524022734201736,"quality":"auspicious"},{"name":"Kāla","start":"19:31","end":"20:59","startHours":19.524022734201736,"endHours":20.977714578918665,"quality":"inauspicious"},{"name":"Śubha","start":"20:59","end":"22:26","startHours":20.977714578918665,"endHours":22.431406423635593,"quality":"auspicious"},{"name":"Roga","start":"22:26","end":"23:53","startHours":22.431406423635593,"endHours":23.885098268352525,"quality":"inauspicious"},{"name":"Udveg","start":"23:53","end":"01:20","startHours":23.885098268352525,"endHours":25.338790113069454,"quality":"inauspicious"},{"name":"Chala","start":"01:20","end":"02:48","startHours":25.338790113069454,"endHours":26.792481957786382,"quality":"neutral"},{"name":"Labha","start":"02:48","end":"04:15","startHours":26.792481957786382,"endHours":28.246173802503314,"quality":"auspicious"},{"name":"Amṛta","start":"04:15","end":"05:42","startHours":28.246173802503314,"endHours":29.699865647220243,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:42","end":"06:42","startHours":5.699865647220241,"endHours":6.699865647220241,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:42","end":"07:42","startHours":6.699865647220241,"endHours":7.699865647220241,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:42","end":"08:42","startHours":7.699865647220241,"endHours":8.699865647220241,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:42","end":"09:42","startHours":8.699865647220241,"endHours":9.699865647220241,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:42","end":"10:42","startHours":9.699865647220241,"endHours":10.699865647220241,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:42","end":"11:42","startHours":10.699865647220241,"endHours":11.699865647220241,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:42","end":"12:42","startHours":11.699865647220241,"endHours":12.699865647220241,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:42","end":"13:42","startHours":12.699865647220241,"endHours":13.699865647220241,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:42","end":"14:42","startHours":13.699865647220241,"endHours":14.699865647220241,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:42","end":"15:42","startHours":14.699865647220241,"endHours":15.699865647220241,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:42","end":"16:42","startHours":15.699865647220241,"endHours":16.699865647220243,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:42","end":"17:42","startHours":16.699865647220243,"endHours":17.699865647220243,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:42","end":"18:42","startHours":17.699865647220243,"endHours":18.699865647220243,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:42","end":"19:42","startHours":18.699865647220243,"endHours":19.699865647220243,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:42","end":"20:42","startHours":19.699865647220243,"endHours":20.699865647220243,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:42","end":"21:42","startHours":20.699865647220243,"endHours":21.699865647220243,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:42","end":"22:42","startHours":21.699865647220243,"endHours":22.699865647220243,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:42","end":"23:42","startHours":22.699865647220243,"endHours":23.699865647220243,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:42","end":"00:42","startHours":23.699865647220243,"endHours":24.699865647220243,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:42","end":"01:42","startHours":24.699865647220243,"endHours":25.699865647220243,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:42","end":"02:42","startHours":25.699865647220243,"endHours":26.699865647220243,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:42","end":"03:42","startHours":26.699865647220243,"endHours":27.699865647220243,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:42","end":"04:42","startHours":27.699865647220243,"endHours":28.699865647220243,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:42","end":"05:42","startHours":28.699865647220243,"endHours":29.699865647220243,"planetary_lord":"Moon"}],"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":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":4.319103981995265,"eotMinutes":-4.344296101151456,"ayanamsa":22.1103}},"calendars":{"vikram_samvat":1932,"vikram_samvatsara":"Sarvadhāri","saka_samvat":1797,"saka_samvatsara":"Yuva","bengali_samvat":1282,"malayalam_era":1051,"nanakshahi_year":406,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Caitra","lunar_month_amanta":"Phālguna","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mīna (Paṅkuṇi)","ritu":"Vasanta (Spring)","display_summary":"Caitra Kṛṣṇa Daśamī · Vikram 1932 Sarvadhāri · Śaka 1797 Yuva"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 April 1, 1875 CE · Ranchi, Jharkhand · Vidhyamitra","description":"April 1, 1875 CE for Ranchi, Jharkhand: Kṛṣṇa Daśamī, sūryodaya 05:42, sūryāsta 18:04.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/1875-04-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/1875-04-01","sa":"https://sa.vidhyamitra.com/city/ranchi/1875-04-01","hi":"https://hi.vidhyamitra.com/city/ranchi/1875-04-01","x-default":"https://vidhyamitra.com/city/ranchi/1875-04-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T04:53:26.102Z","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":"2026-06-02T04:53:26.102Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T04:53:26.102Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}