{"id":"vidhyamitra:city-day:ranchi:2121-04-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2121-04-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2121-04-01","date_display":"April 1, 2121 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":2121,"month":4,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495829.770833,"kali_year":5222,"ahargana":1907364.2708,"sun":{"sidereal_longitude":345.658,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":141.6958,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":156.0378,"elapsed_within_tithi_degrees":0.0378},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3,"moon_longitude":141.6958,"elapsed_within_degrees":8.3624},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":127.3537},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2121,"month":4,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2495829.770833,"ahargana":1907364.2708,"kali_year":5222,"ayanamsa_lahiri":25.5467,"grahas":{"sun":{"sidereal_longitude":345.769707,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":142.529407,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false,"latitude":-3.0692},"mars":{"sidereal_longitude":104.34510699999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":346.998607,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":82.93530699999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"venus":{"sidereal_longitude":303.99840700000004,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":61.44630699999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":278.6621,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":98.6621,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","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":2121,"month":4,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495829.770833,"kali_year":5222,"ahargana":1907364.2708,"sun":{"sidereal_longitude":345.658,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":141.6958,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":156.0378,"elapsed_within_tithi_degrees":0.0378},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3,"moon_longitude":141.6958,"elapsed_within_degrees":8.3624},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":127.3537},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.069,"elongation":156.038},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.069,"opposition_distance":23.962}},"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":"05:42","sunsetLocal":"18:04","solarNoonLocal":"11:53","dayLengthHours":12.379598061923229,"dayLengthDisplay":"12 Hours 22 Mins 47 Secs","nightLengthDisplay":"11 Hours 37 Mins 13 Secs","moonriseLocal":"16:09","moonsetLocal":"04:31","rahuKala":{"name":"Rāhu Kāla","start":"14:59","end":"16:32","startHours":14.97999778383333,"endHours":16.527447541573736,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:47","end":"10:20","startHours":8.790198752871717,"endHours":10.33764851061212,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:53","end":"13:26","startHours":11.885098268352523,"endHours":13.432548026092928,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:35","end":"09:00","startHours":8.58387211850633,"endHours":8.996525387237103,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:13","end":"06:32","startHours":6.211115823304377,"endHours":6.541238438288996,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:28","end":"12:18","startHours":11.472444999621748,"endHours":12.297751537083299,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:03","end":"04:52","startHours":4.044686162467812,"endHours":4.869992699929361,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:40","end":"05:42","startHours":4.663666065563973,"endHours":5.695299237390909,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:57","end":"14:46","startHours":13.948364612006396,"endHours":14.773671149467944,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:52","end":"18:16","startHours":17.87489729931414,"endHours":18.274897299314137,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:04","end":"18:35","startHours":18.074897299314138,"endHours":18.590713885227604,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:49","end":"19:34","startHours":17.824897299314138,"endHours":19.574897299314138,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:28","end":"00:18","startHours":23.472444999621747,"endHours":24.297751537083297,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:42","end":"07:15","startHours":5.695299237390909,"endHours":7.242748995131313,"quality":"inauspicious"},{"name":"Udveg","start":"07:15","end":"08:47","startHours":7.242748995131313,"endHours":8.790198752871717,"quality":"inauspicious"},{"name":"Chala","start":"08:47","end":"10:20","startHours":8.790198752871717,"endHours":10.33764851061212,"quality":"neutral"},{"name":"Labha","start":"10:20","end":"11:53","startHours":10.33764851061212,"endHours":11.885098268352523,"quality":"auspicious"},{"name":"Amṛta","start":"11:53","end":"13:26","startHours":11.885098268352523,"endHours":13.432548026092928,"quality":"auspicious"},{"name":"Kāla","start":"13:26","end":"14:59","startHours":13.432548026092928,"endHours":14.97999778383333,"quality":"inauspicious"},{"name":"Śubha","start":"14:59","end":"16:32","startHours":14.97999778383333,"endHours":16.527447541573736,"quality":"auspicious"},{"name":"Roga","start":"16:32","end":"18:04","startHours":16.527447541573736,"endHours":18.074897299314138,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:04","end":"19:32","startHours":18.074897299314138,"endHours":19.527447541573736,"quality":"inauspicious"},{"name":"Śubha","start":"19:32","end":"20:59","startHours":19.527447541573736,"endHours":20.97999778383333,"quality":"auspicious"},{"name":"Roga","start":"20:59","end":"22:26","startHours":20.97999778383333,"endHours":22.432548026092928,"quality":"inauspicious"},{"name":"Udveg","start":"22:26","end":"23:53","startHours":22.432548026092928,"endHours":23.88509826835252,"quality":"inauspicious"},{"name":"Chala","start":"23:53","end":"01:20","startHours":23.88509826835252,"endHours":25.33764851061212,"quality":"neutral"},{"name":"Labha","start":"01:20","end":"02:47","startHours":25.33764851061212,"endHours":26.790198752871717,"quality":"auspicious"},{"name":"Amṛta","start":"02:47","end":"04:15","startHours":26.790198752871717,"endHours":28.242748995131315,"quality":"auspicious"},{"name":"Kāla","start":"04:15","end":"05:42","startHours":28.242748995131315,"endHours":29.69529923739091,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:42","end":"06:42","startHours":5.695299237390909,"endHours":6.695299237390909,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:42","end":"07:42","startHours":6.695299237390909,"endHours":7.695299237390909,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:42","end":"08:42","startHours":7.695299237390909,"endHours":8.695299237390909,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:42","end":"09:42","startHours":8.695299237390909,"endHours":9.695299237390909,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:42","end":"10:42","startHours":9.695299237390909,"endHours":10.695299237390909,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:42","end":"11:42","startHours":10.695299237390909,"endHours":11.695299237390909,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:42","end":"12:42","startHours":11.695299237390909,"endHours":12.695299237390909,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:42","end":"13:42","startHours":12.695299237390909,"endHours":13.695299237390909,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:42","end":"14:42","startHours":13.695299237390909,"endHours":14.695299237390909,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:42","end":"15:42","startHours":14.695299237390909,"endHours":15.695299237390909,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:42","end":"16:42","startHours":15.695299237390909,"endHours":16.69529923739091,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:42","end":"17:42","startHours":16.69529923739091,"endHours":17.69529923739091,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:42","end":"18:42","startHours":17.69529923739091,"endHours":18.69529923739091,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:42","end":"19:42","startHours":18.69529923739091,"endHours":19.69529923739091,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:42","end":"20:42","startHours":19.69529923739091,"endHours":20.69529923739091,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:42","end":"21:42","startHours":20.69529923739091,"endHours":21.69529923739091,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:42","end":"22:42","startHours":21.69529923739091,"endHours":22.69529923739091,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:42","end":"23:42","startHours":22.69529923739091,"endHours":23.69529923739091,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:42","end":"00:42","startHours":23.69529923739091,"endHours":24.69529923739091,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:42","end":"01:42","startHours":24.69529923739091,"endHours":25.69529923739091,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:42","end":"02:42","startHours":25.69529923739091,"endHours":26.69529923739091,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:42","end":"03:42","startHours":26.69529923739091,"endHours":27.69529923739091,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:42","end":"04:42","startHours":27.69529923739091,"endHours":28.69529923739091,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:42","end":"05:42","startHours":28.69529923739091,"endHours":29.69529923739091,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"West","rahuVasa":"North","anandadiYoga":{"name":"Siddhi","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":4.476248458651066,"eotMinutes":-4.344296101151456,"ayanamsa":25.5467}},"calendars":{"vikram_samvat":2178,"vikram_samvatsara":"Jaya","saka_samvat":2043,"saka_samvatsara":"Vṛṣa","bengali_samvat":1528,"malayalam_era":1297,"nanakshahi_year":652,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Caitra","lunar_month_amanta":"Caitra","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 Śukla Caturdaśī · Vikram 2178 Jaya · Śaka 2043 Vṛṣa"},"festivals":[],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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, 2121 CE · Ranchi, Jharkhand · Vidhyamitra","description":"April 1, 2121 CE for Ranchi, Jharkhand: Śukla Caturdaśī, sūryodaya 05:42, sūryāsta 18:04.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2121-04-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2121-04-01","sa":"https://sa.vidhyamitra.com/city/ranchi/2121-04-01","hi":"https://hi.vidhyamitra.com/city/ranchi/2121-04-01","x-default":"https://vidhyamitra.com/city/ranchi/2121-04-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T12:07:11.968Z","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":"2026-05-31T12:07:11.968Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T12:07:11.968Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}