{"id":"vidhyamitra:city-day:ranchi:2175-03-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2175-03-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2175-03-31","date_display":"March 31, 2175 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":2175,"month":3,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2515551.770833,"kali_year":5276,"ahargana":1927086.2708,"sun":{"sidereal_longitude":343.7102,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":91.2434,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":107.5331,"elapsed_within_tithi_degrees":11.5331},"nakshatra":{"number":7,"name":"Punarvasu","pada":4,"moon_longitude":91.2434,"elapsed_within_degrees":11.2434},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":74.9536},"karana":{"half_tithi_index":17,"name":"Kaulava"},"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":2175,"month":3,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2515551.770833,"ahargana":1927086.2708,"kali_year":5276,"ayanamsa_lahiri":26.301,"grahas":{"sun":{"sidereal_longitude":343.945381,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":94.40588100000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false,"latitude":3.0357},"mars":{"sidereal_longitude":18.131080999999995,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":0.24498099999999567,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":290.058681,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"venus":{"sidereal_longitude":25.917980999999997,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":359.583281,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":313.6956,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":133.6956,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","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":2175,"month":3,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2515551.770833,"kali_year":5276,"ahargana":1927086.2708,"sun":{"sidereal_longitude":343.7102,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":91.2434,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":107.5331,"elapsed_within_tithi_degrees":11.5331},"nakshatra":{"number":7,"name":"Punarvasu","pada":4,"moon_longitude":91.2434,"elapsed_within_degrees":11.2434},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":74.9536},"karana":{"half_tithi_index":17,"name":"Kaulava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.036,"elongation":107.533},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.036,"opposition_distance":72.467}},"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":12.35524517092798,"dayLengthDisplay":"12 Hours 21 Mins 19 Secs","nightLengthDisplay":"11 Hours 38 Mins 41 Secs","moonriseLocal":"12:36","moonsetLocal":"01:54","rahuKala":{"name":"Rāhu Kāla","start":"10:21","end":"11:53","startHours":10.345982710568778,"endHours":11.890388356934775,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:59","end":"16:31","startHours":14.979199649666771,"endHours":16.523605296032766,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:15","end":"08:48","startHours":7.257171417836783,"endHours":8.801577064202782,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:36","end":"09:00","startHours":8.59565631135398,"endHours":9.007497817051581,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:14","end":"06:33","startHours":6.227567653592785,"endHours":6.557040858150865,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:29","end":"12:18","startHours":11.478546851237175,"endHours":12.302229862632375,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:04","end":"04:53","startHours":4.065399748680389,"endHours":4.8890827600755875,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:41","end":"05:43","startHours":4.683162007226787,"endHours":5.712765771470786,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:57","end":"14:46","startHours":13.949595885422774,"endHours":14.773278896817972,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:52","end":"18:16","startHours":17.868010942398765,"endHours":18.268010942398764,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:04","end":"18:35","startHours":18.068010942398764,"endHours":18.582812824520765,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:49","end":"19:34","startHours":17.818010942398764,"endHours":19.568010942398764,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:29","end":"00:18","startHours":23.478546851237176,"endHours":24.302229862632373,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:43","end":"07:15","startHours":5.712765771470786,"endHours":7.257171417836783,"quality":"neutral"},{"name":"Labha","start":"07:15","end":"08:48","startHours":7.257171417836783,"endHours":8.801577064202782,"quality":"auspicious"},{"name":"Amṛta","start":"08:48","end":"10:21","startHours":8.801577064202782,"endHours":10.345982710568778,"quality":"auspicious"},{"name":"Kāla","start":"10:21","end":"11:53","startHours":10.345982710568778,"endHours":11.890388356934775,"quality":"inauspicious"},{"name":"Śubha","start":"11:53","end":"13:26","startHours":11.890388356934775,"endHours":13.434794003300773,"quality":"auspicious"},{"name":"Roga","start":"13:26","end":"14:59","startHours":13.434794003300773,"endHours":14.979199649666771,"quality":"inauspicious"},{"name":"Udveg","start":"14:59","end":"16:31","startHours":14.979199649666771,"endHours":16.523605296032766,"quality":"inauspicious"},{"name":"Chala","start":"16:31","end":"18:04","startHours":16.523605296032766,"endHours":18.068010942398764,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:04","end":"19:31","startHours":18.068010942398764,"endHours":19.523605296032766,"quality":"inauspicious"},{"name":"Udveg","start":"19:31","end":"20:59","startHours":19.523605296032766,"endHours":20.979199649666768,"quality":"inauspicious"},{"name":"Chala","start":"20:59","end":"22:26","startHours":20.979199649666768,"endHours":22.434794003300773,"quality":"neutral"},{"name":"Labha","start":"22:26","end":"23:53","startHours":22.434794003300773,"endHours":23.890388356934775,"quality":"auspicious"},{"name":"Amṛta","start":"23:53","end":"01:21","startHours":23.890388356934775,"endHours":25.345982710568776,"quality":"auspicious"},{"name":"Kāla","start":"01:21","end":"02:48","startHours":25.345982710568776,"endHours":26.80157706420278,"quality":"inauspicious"},{"name":"Śubha","start":"02:48","end":"04:15","startHours":26.80157706420278,"endHours":28.257171417836783,"quality":"auspicious"},{"name":"Roga","start":"04:15","end":"05:43","startHours":28.257171417836783,"endHours":29.712765771470785,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:43","end":"06:43","startHours":5.712765771470786,"endHours":6.712765771470786,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:43","end":"07:43","startHours":6.712765771470786,"endHours":7.712765771470786,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:43","end":"08:43","startHours":7.712765771470786,"endHours":8.712765771470785,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:43","end":"09:43","startHours":8.712765771470785,"endHours":9.712765771470785,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:43","end":"10:43","startHours":9.712765771470785,"endHours":10.712765771470785,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:43","end":"11:43","startHours":10.712765771470785,"endHours":11.712765771470785,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:43","end":"12:43","startHours":11.712765771470785,"endHours":12.712765771470785,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:43","end":"13:43","startHours":12.712765771470785,"endHours":13.712765771470785,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:43","end":"14:43","startHours":13.712765771470785,"endHours":14.712765771470785,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:43","end":"15:43","startHours":14.712765771470785,"endHours":15.712765771470785,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:43","end":"16:43","startHours":15.712765771470785,"endHours":16.712765771470785,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:43","end":"17:43","startHours":16.712765771470785,"endHours":17.712765771470785,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:43","end":"18:43","startHours":17.712765771470785,"endHours":18.712765771470785,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:43","end":"19:43","startHours":18.712765771470785,"endHours":19.712765771470785,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:43","end":"20:43","startHours":19.712765771470785,"endHours":20.712765771470785,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:43","end":"21:43","startHours":20.712765771470785,"endHours":21.712765771470785,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:43","end":"22:43","startHours":21.712765771470785,"endHours":22.712765771470785,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:43","end":"23:43","startHours":22.712765771470785,"endHours":23.712765771470785,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:43","end":"00:43","startHours":23.712765771470785,"endHours":24.712765771470785,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:43","end":"01:43","startHours":24.712765771470785,"endHours":25.712765771470785,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:43","end":"02:43","startHours":25.712765771470785,"endHours":26.712765771470785,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:43","end":"03:43","startHours":26.712765771470785,"endHours":27.712765771470785,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:43","end":"04:43","startHours":27.712765771470785,"endHours":28.712765771470785,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:43","end":"05:43","startHours":28.712765771470785,"endHours":29.712765771470785,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"South-East","anandadiYoga":{"name":"Sushira","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":4.057020078623404,"eotMinutes":-4.661701416086492,"ayanamsa":26.301}},"calendars":{"vikram_samvat":2232,"vikram_samvatsara":"Sarvadhāri","saka_samvat":2097,"saka_samvatsara":"Yuva","bengali_samvat":1582,"malayalam_era":1351,"nanakshahi_year":706,"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 Navamī · Vikram 2232 Sarvadhāri · Śaka 2097 Yuva"},"festivals":[{"id":"rama-navami","name":"Rāma Navamī","name_sanskrit":"राम नवमी","tradition":"Vaishnava","associated_deity":"Rāma (18th avatāra of Krishna)","deity_avatara_index":18,"significance":"Bhagavān Rāma's birth at Ayodhyā. Sūryavaṃśa's most exalted moment.","vrata":true,"primary_observance":"Madhyāhna (noon) abhiṣekam in Ayodhyā tradition","detection":{"tithi_number":9,"tithi_paksha":"Śukla","lunar_month":"Caitra"},"precedence":1,"related_chart":"rama","historical_anchor":{"event":"Bhagavān Rāma's birth at Ayodhyā","date_julian":"-1626101-04-03","location":"Ayodhyā"},"sources":["Vālmīki Rāmāyaṇa, Bāla-Kāṇḍa 1.18"]}],"todays_walk":{"walk":{"id":"rama-navami-walk","name":"Rāma Navamī Walk","name_sanskrit":"राम नवमी यात्रा","type":"festival","description":"Vālmīki Bāla-Kāṇḍa selections + BG 4.7-8 (avatāra principle).","step_count":9,"url":"/walk/rama-navami-walk"},"reason":"Today is Rāma Navamī — its dedicated walk."},"cosmic_resonances":[{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Śukla Navamī + Punarvasu","url":"/day/-1626101-04-03","relevance":1}]},"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, 2175 CE · Ranchi, Jharkhand · Vidhyamitra","description":"March 31, 2175 CE for Ranchi, Jharkhand: Śukla Navamī, sūryodaya 05:43, sūryāsta 18:04.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2175-03-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2175-03-31","sa":"https://sa.vidhyamitra.com/city/ranchi/2175-03-31","hi":"https://hi.vidhyamitra.com/city/ranchi/2175-03-31","x-default":"https://vidhyamitra.com/city/ranchi/2175-03-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T20:13:24.797Z","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":"2026-06-03T20:13:24.797Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T20:13:24.797Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}