{"id":"vidhyamitra:city-day:vrindavan:1845-05-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/1845-05-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1845-05-31","date_display":"May 31, 1845 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":1845,"month":5,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2395082.770833,"kali_year":4947,"ahargana":1806617.2708,"sun":{"sidereal_longitude":47.9295,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":349.4571,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":301.5276,"elapsed_within_tithi_degrees":1.5276},"nakshatra":{"number":27,"name":"Revatī","pada":1,"moon_longitude":349.4571,"elapsed_within_degrees":2.7904},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":37.3866},"karana":{"half_tithi_index":50,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":1845,"month":5,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2395082.770833,"ahargana":1806617.2708,"kali_year":4947,"ayanamsa_lahiri":21.6935,"grahas":{"sun":{"sidereal_longitude":47.69848300000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":351.398183,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false,"latitude":3.3037},"mars":{"sidereal_longitude":297.825383,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":26.47588300000001,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":9.966482999999982,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":53.83628299999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":299.31958299999997,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":216.7229,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":36.7229,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"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":1845,"month":5,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2395082.770833,"kali_year":4947,"ahargana":1806617.2708,"sun":{"sidereal_longitude":47.9295,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":349.4571,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":301.5276,"elapsed_within_tithi_degrees":1.5276},"nakshatra":{"number":27,"name":"Revatī","pada":1,"moon_longitude":349.4571,"elapsed_within_degrees":2.7904},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":37.3866},"karana":{"half_tithi_index":50,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.304,"elongation":58.472},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.304,"opposition_distance":121.528}},"eclipse_window_40days":[{"offset_days":5,"type":"solar","occurs":true,"moon_latitude":-1.35,"elongation":1.25}]},"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"05:24","sunsetLocal":"19:09","solarNoonLocal":"12:17","dayLengthHours":13.749834121116066,"dayLengthDisplay":"13 Hours 44 Mins 59 Secs","nightLengthDisplay":"10 Hours 15 Mins 01 Secs","moonriseLocal":"02:18","moonsetLocal":"14:45","rahuKala":{"name":"Rāhu Kāla","start":"08:51","end":"10:34","startHours":8.84359535708532,"endHours":10.562324622224828,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:00","end":"15:43","startHours":13.999783152503845,"endHours":15.718512417643353,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:24","end":"07:07","startHours":5.406136826806304,"endHours":7.124866091945813,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:37","end":"09:04","startHours":8.61443145506672,"endHours":9.072759259103922,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:59","end":"06:21","startHours":5.979046581852807,"endHours":6.345708825082569,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:44","startHours":11.822726083327135,"endHours":12.739381691401539,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:34","end":"04:29","startHours":3.5728256106574956,"endHours":4.4894812187319,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:16","end":"05:24","startHours":4.260317316713299,"endHours":5.406136826806304,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:34","end":"15:29","startHours":14.572692907550348,"endHours":15.489348515624751,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:57","end":"19:21","startHours":18.95597094792237,"endHours":19.35597094792237,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:09","end":"19:44","startHours":19.15597094792237,"endHours":19.728880702968873,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:54","end":"20:39","startHours":18.90597094792237,"endHours":20.65597094792237,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:44","startHours":23.822726083327133,"endHours":24.73938169140154,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:24","end":"07:07","startHours":5.406136826806304,"endHours":7.124866091945813,"quality":"inauspicious"},{"name":"Śubha","start":"07:07","end":"08:51","startHours":7.124866091945813,"endHours":8.84359535708532,"quality":"auspicious"},{"name":"Roga","start":"08:51","end":"10:34","startHours":8.84359535708532,"endHours":10.562324622224828,"quality":"inauspicious"},{"name":"Udveg","start":"10:34","end":"12:17","startHours":10.562324622224828,"endHours":12.281053887364337,"quality":"inauspicious"},{"name":"Chala","start":"12:17","end":"14:00","startHours":12.281053887364337,"endHours":13.999783152503845,"quality":"neutral"},{"name":"Labha","start":"14:00","end":"15:43","startHours":13.999783152503845,"endHours":15.718512417643353,"quality":"auspicious"},{"name":"Amṛta","start":"15:43","end":"17:26","startHours":15.718512417643353,"endHours":17.43724168278286,"quality":"auspicious"},{"name":"Kāla","start":"17:26","end":"19:09","startHours":17.43724168278286,"endHours":19.15597094792237,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:09","end":"20:26","startHours":19.15597094792237,"endHours":20.43724168278286,"quality":"auspicious"},{"name":"Amṛta","start":"20:26","end":"21:43","startHours":20.43724168278286,"endHours":21.718512417643353,"quality":"auspicious"},{"name":"Kāla","start":"21:43","end":"23:00","startHours":21.718512417643353,"endHours":22.999783152503845,"quality":"inauspicious"},{"name":"Śubha","start":"23:00","end":"00:17","startHours":22.999783152503845,"endHours":24.281053887364337,"quality":"auspicious"},{"name":"Roga","start":"00:17","end":"01:34","startHours":24.281053887364337,"endHours":25.56232462222483,"quality":"inauspicious"},{"name":"Udveg","start":"01:34","end":"02:51","startHours":25.56232462222483,"endHours":26.84359535708532,"quality":"inauspicious"},{"name":"Chala","start":"02:51","end":"04:07","startHours":26.84359535708532,"endHours":28.12486609194581,"quality":"neutral"},{"name":"Labha","start":"04:07","end":"05:24","startHours":28.12486609194581,"endHours":29.406136826806303,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:24","end":"06:24","startHours":5.406136826806304,"endHours":6.406136826806304,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:24","end":"07:24","startHours":6.406136826806304,"endHours":7.406136826806304,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:24","end":"08:24","startHours":7.406136826806304,"endHours":8.406136826806303,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:24","end":"09:24","startHours":8.406136826806303,"endHours":9.406136826806303,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:24","end":"10:24","startHours":9.406136826806303,"endHours":10.406136826806303,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:24","end":"11:24","startHours":10.406136826806303,"endHours":11.406136826806303,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:24","end":"12:24","startHours":11.406136826806303,"endHours":12.406136826806303,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:24","end":"13:24","startHours":12.406136826806303,"endHours":13.406136826806303,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:24","end":"14:24","startHours":13.406136826806303,"endHours":14.406136826806303,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:24","end":"15:24","startHours":14.406136826806303,"endHours":15.406136826806303,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:24","end":"16:24","startHours":15.406136826806303,"endHours":16.406136826806303,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:24","end":"17:24","startHours":16.406136826806303,"endHours":17.406136826806303,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:24","end":"18:24","startHours":17.406136826806303,"endHours":18.406136826806303,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:24","end":"19:24","startHours":18.406136826806303,"endHours":19.406136826806303,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:24","end":"20:24","startHours":19.406136826806303,"endHours":20.406136826806303,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:24","end":"21:24","startHours":20.406136826806303,"endHours":21.406136826806303,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:24","end":"22:24","startHours":21.406136826806303,"endHours":22.406136826806303,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:24","end":"23:24","startHours":22.406136826806303,"endHours":23.406136826806303,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:24","end":"00:24","startHours":23.406136826806303,"endHours":24.406136826806303,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:24","end":"01:24","startHours":24.406136826806303,"endHours":25.406136826806303,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:24","end":"02:24","startHours":25.406136826806303,"endHours":26.406136826806303,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:24","end":"03:24","startHours":26.406136826806303,"endHours":27.406136826806303,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:24","end":"04:24","startHours":27.406136826806303,"endHours":28.406136826806303,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:24","end":"05:24","startHours":28.406136826806303,"endHours":29.406136826806303,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"East","anandadiYoga":{"name":"Gada","quality":"Inauspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":21.856403306146003,"eotMinutes":2.4995667581397525,"ayanamsa":21.6935}},"calendars":{"vikram_samvat":1902,"vikram_samvatsara":"Kālayukta","saka_samvat":1767,"saka_samvatsara":"Viśvāvasu","bengali_samvat":1252,"malayalam_era":1021,"nanakshahi_year":376,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Ekādaśī · Vikram 1902 Kālayukta · Śaka 1767 Viśvāvasu"},"festivals":[{"id":"apara-ekadashi","name":"Aparā Ekādaśī","name_sanskrit":"अपरा एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Boundless (aparā) merit; removes brahma-hatyā even.","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","lunar_month":"Jyeṣṭha"},"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":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"vrindavan"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga May 31, 1845 CE · Vṛndāvana · Vidhyamitra","description":"May 31, 1845 CE for Vṛndāvana: Kṛṣṇa Ekādaśī, sūryodaya 05:24, sūryāsta 19:09.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/1845-05-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/1845-05-31","sa":"https://sa.vidhyamitra.com/city/vrindavan/1845-05-31","hi":"https://hi.vidhyamitra.com/city/vrindavan/1845-05-31","x-default":"https://vidhyamitra.com/city/vrindavan/1845-05-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T09:43:16.022Z","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":"2026-06-03T09:43:16.022Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T09:43:16.022Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}