{"id":"vidhyamitra:city-day:ranchi:2075-03-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2075-03-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2075-03-31","date_display":"March 31, 2075 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":2075,"month":3,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479027.770833,"kali_year":5176,"ahargana":1890562.2708,"sun":{"sidereal_longitude":345.5621,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":147.7854,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":162.2234,"elapsed_within_tithi_degrees":6.2234},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1,"moon_longitude":147.7854,"elapsed_within_degrees":1.1188},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":133.3475},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2075,"month":3,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2479027.770833,"ahargana":1890562.2708,"kali_year":5176,"ayanamsa_lahiri":24.9041,"grahas":{"sun":{"sidereal_longitude":345.566866,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":148.66036599999995,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false,"latitude":3.851},"mars":{"sidereal_longitude":339.858466,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":347.661266,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":129.71486600000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":313.30666599999995,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":232.78956599999992,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":88.9129,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":268.9129,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","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":2075,"month":3,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479027.770833,"kali_year":5176,"ahargana":1890562.2708,"sun":{"sidereal_longitude":345.5621,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":147.7854,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":162.2234,"elapsed_within_tithi_degrees":6.2234},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1,"moon_longitude":147.7854,"elapsed_within_degrees":1.1188},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":133.3475},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.851,"elongation":162.223},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.851,"opposition_distance":17.777}},"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":"05:43","sunsetLocal":"18:04","solarNoonLocal":"11:53","dayLengthHours":12.360359524001716,"dayLengthDisplay":"12 Hours 21 Mins 37 Secs","nightLengthDisplay":"11 Hours 38 Mins 23 Secs","moonriseLocal":"16:39","moonsetLocal":"04:53","rahuKala":{"name":"Rāhu Kāla","start":"16:32","end":"18:04","startHours":16.525523178435417,"endHours":18.070568118935633,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:53","end":"13:26","startHours":11.890388356934775,"endHours":13.43543329743499,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:59","end":"16:32","startHours":14.980478237935205,"endHours":16.525523178435417,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:36","end":"09:00","startHours":8.594292483867651,"endHours":9.006304468001042,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:14","end":"06:33","startHours":6.225223575100656,"endHours":6.554833162407368,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:29","end":"12:18","startHours":11.478376372801383,"endHours":12.302400341068166,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:04","end":"04:53","startHours":4.062160658400356,"endHours":4.886184626667137,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:41","end":"05:43","startHours":4.680178634600441,"endHours":5.710208594933918,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:57","end":"14:46","startHours":13.95044827760173,"endHours":14.77447224586851,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:52","end":"18:16","startHours":17.870568118935633,"endHours":18.270568118935632,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:04","end":"18:35","startHours":18.070568118935633,"endHours":18.585583099102372,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:49","end":"19:34","startHours":17.820568118935633,"endHours":19.570568118935633,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:29","end":"00:18","startHours":23.478376372801385,"endHours":24.302400341068164,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:43","end":"07:15","startHours":5.710208594933918,"endHours":7.255253535434132,"quality":"inauspicious"},{"name":"Chala","start":"07:15","end":"08:48","startHours":7.255253535434132,"endHours":8.800298475934348,"quality":"neutral"},{"name":"Labha","start":"08:48","end":"10:21","startHours":8.800298475934348,"endHours":10.345343416434561,"quality":"auspicious"},{"name":"Amṛta","start":"10:21","end":"11:53","startHours":10.345343416434561,"endHours":11.890388356934775,"quality":"auspicious"},{"name":"Kāla","start":"11:53","end":"13:26","startHours":11.890388356934775,"endHours":13.43543329743499,"quality":"inauspicious"},{"name":"Śubha","start":"13:26","end":"14:59","startHours":13.43543329743499,"endHours":14.980478237935205,"quality":"auspicious"},{"name":"Roga","start":"14:59","end":"16:32","startHours":14.980478237935205,"endHours":16.525523178435417,"quality":"inauspicious"},{"name":"Udveg","start":"16:32","end":"18:04","startHours":16.525523178435417,"endHours":18.070568118935633,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:04","end":"19:32","startHours":18.070568118935633,"endHours":19.525523178435417,"quality":"auspicious"},{"name":"Roga","start":"19:32","end":"20:59","startHours":19.525523178435417,"endHours":20.980478237935202,"quality":"inauspicious"},{"name":"Udveg","start":"20:59","end":"22:26","startHours":20.980478237935202,"endHours":22.43543329743499,"quality":"inauspicious"},{"name":"Chala","start":"22:26","end":"23:53","startHours":22.43543329743499,"endHours":23.890388356934775,"quality":"neutral"},{"name":"Labha","start":"23:53","end":"01:21","startHours":23.890388356934775,"endHours":25.34534341643456,"quality":"auspicious"},{"name":"Amṛta","start":"01:21","end":"02:48","startHours":25.34534341643456,"endHours":26.800298475934348,"quality":"auspicious"},{"name":"Kāla","start":"02:48","end":"04:15","startHours":26.800298475934348,"endHours":28.255253535434132,"quality":"inauspicious"},{"name":"Śubha","start":"04:15","end":"05:43","startHours":28.255253535434132,"endHours":29.710208594933917,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:43","end":"06:43","startHours":5.710208594933918,"endHours":6.710208594933918,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:43","end":"07:43","startHours":6.710208594933918,"endHours":7.710208594933918,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:43","end":"08:43","startHours":7.710208594933918,"endHours":8.710208594933917,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:43","end":"09:43","startHours":8.710208594933917,"endHours":9.710208594933917,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:43","end":"10:43","startHours":9.710208594933917,"endHours":10.710208594933917,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:43","end":"11:43","startHours":10.710208594933917,"endHours":11.710208594933917,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:43","end":"12:43","startHours":11.710208594933917,"endHours":12.710208594933917,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:43","end":"13:43","startHours":12.710208594933917,"endHours":13.710208594933917,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:43","end":"14:43","startHours":13.710208594933917,"endHours":14.710208594933917,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:43","end":"15:43","startHours":14.710208594933917,"endHours":15.710208594933917,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:43","end":"16:43","startHours":15.710208594933917,"endHours":16.710208594933917,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:43","end":"17:43","startHours":16.710208594933917,"endHours":17.710208594933917,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:43","end":"18:43","startHours":17.710208594933917,"endHours":18.710208594933917,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:43","end":"19:43","startHours":18.710208594933917,"endHours":19.710208594933917,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:43","end":"20:43","startHours":19.710208594933917,"endHours":20.710208594933917,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:43","end":"21:43","startHours":20.710208594933917,"endHours":21.710208594933917,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:43","end":"22:43","startHours":21.710208594933917,"endHours":22.710208594933917,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:43","end":"23:43","startHours":22.710208594933917,"endHours":23.710208594933917,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:43","end":"00:43","startHours":23.710208594933917,"endHours":24.710208594933917,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:43","end":"01:43","startHours":24.710208594933917,"endHours":25.710208594933917,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:43","end":"02:43","startHours":25.710208594933917,"endHours":26.710208594933917,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:43","end":"03:43","startHours":26.710208594933917,"endHours":27.710208594933917,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:43","end":"04:43","startHours":27.710208594933917,"endHours":28.710208594933917,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:43","end":"05:43","startHours":28.710208594933917,"endHours":29.710208594933917,"planetary_lord":"Jupiter"}],"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","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"West","rahuVasa":"North-East","anandadiYoga":{"name":"Maitra","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":4.14511447939223,"eotMinutes":-4.661701416086492,"ayanamsa":24.9041}},"calendars":{"vikram_samvat":2132,"vikram_samvatsara":"Kīlaka","saka_samvat":1997,"saka_samvatsara":"Manmatha","bengali_samvat":1482,"malayalam_era":1251,"nanakshahi_year":606,"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 2132 Kīlaka · Śaka 1997 Manmatha"},"festivals":[],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 March 31, 2075 CE · Ranchi, Jharkhand · Vidhyamitra","description":"March 31, 2075 CE for Ranchi, Jharkhand: Śukla Caturdaśī, sūryodaya 05:43, sūryāsta 18:04.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2075-03-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2075-03-31","sa":"https://sa.vidhyamitra.com/city/ranchi/2075-03-31","hi":"https://hi.vidhyamitra.com/city/ranchi/2075-03-31","x-default":"https://vidhyamitra.com/city/ranchi/2075-03-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T11:14:00.246Z","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":"2026-06-02T11:14:00.246Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T11:14:00.246Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}