{"id":"vidhyamitra:city-day:vrindavan:1845-08-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/1845-08-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1845-08-20","date_display":"August 20, 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":8,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2395163.770833,"kali_year":4947,"ahargana":1806698.2708,"sun":{"sidereal_longitude":124.8546,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":338.3541,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":213.4996,"elapsed_within_tithi_degrees":9.4996},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2,"moon_longitude":338.3541,"elapsed_within_degrees":5.0208},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":103.2087},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":8,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2395163.770833,"ahargana":1806698.2708,"kali_year":4947,"ayanamsa_lahiri":21.6966,"grahas":{"sun":{"sidereal_longitude":125.12838799999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":338.530588,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false,"latitude":3.6428},"mars":{"sidereal_longitude":305.52758800000004,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":true},"mercury":{"sidereal_longitude":154.268188,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":21.031488000000024,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":153.085288,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":295.14888799999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":212.4312,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":32.4312,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","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":1845,"month":8,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2395163.770833,"kali_year":4947,"ahargana":1806698.2708,"sun":{"sidereal_longitude":124.8546,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":338.3541,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":213.4996,"elapsed_within_tithi_degrees":9.4996},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2,"moon_longitude":338.3541,"elapsed_within_degrees":5.0208},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":103.2087},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.643,"elongation":146.5},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.643,"opposition_distance":33.5}},"eclipse_window_40days":[]},"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":"05:52","sunsetLocal":"18:53","solarNoonLocal":"12:22","dayLengthHours":13.020621910195764,"dayLengthDisplay":"13 Hours 01 Mins 14 Secs","nightLengthDisplay":"10 Hours 58 Mins 46 Secs","moonriseLocal":"20:33","moonsetLocal":"08:39","rahuKala":{"name":"Rāhu Kāla","start":"12:22","end":"14:00","startHours":12.373546848508838,"endHours":14.001124587283307,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:29","end":"09:07","startHours":7.490813632185426,"endHours":9.118391370959896,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:45","end":"12:22","startHours":10.745969109734368,"endHours":12.373546848508838,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:54","end":"09:20","startHours":8.901381005789968,"endHours":9.335401736129826,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:24","end":"06:45","startHours":6.405761806335779,"endHours":6.752978390607666,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:48","startHours":11.93952611816898,"endHours":12.807567578848696,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:08","end":"05:00","startHours":4.12715297205152,"endHours":4.995194432731238,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:47","end":"05:52","startHours":4.778184067561308,"endHours":5.863235893410955,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:33","end":"15:25","startHours":14.543650500208132,"endHours":15.41169196088785,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:41","end":"19:05","startHours":18.68385780360672,"endHours":19.08385780360672,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:53","end":"19:26","startHours":18.88385780360672,"endHours":19.426383716531543,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:38","end":"20:23","startHours":18.63385780360672,"endHours":20.38385780360672,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:48","startHours":23.939526118168978,"endHours":24.807567578848698,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:52","end":"07:29","startHours":5.863235893410955,"endHours":7.490813632185426,"quality":"auspicious"},{"name":"Amṛta","start":"07:29","end":"09:07","startHours":7.490813632185426,"endHours":9.118391370959896,"quality":"auspicious"},{"name":"Kāla","start":"09:07","end":"10:45","startHours":9.118391370959896,"endHours":10.745969109734368,"quality":"inauspicious"},{"name":"Śubha","start":"10:45","end":"12:22","startHours":10.745969109734368,"endHours":12.373546848508838,"quality":"auspicious"},{"name":"Roga","start":"12:22","end":"14:00","startHours":12.373546848508838,"endHours":14.001124587283307,"quality":"inauspicious"},{"name":"Udveg","start":"14:00","end":"15:38","startHours":14.001124587283307,"endHours":15.628702326057779,"quality":"inauspicious"},{"name":"Chala","start":"15:38","end":"17:15","startHours":15.628702326057779,"endHours":17.25628006483225,"quality":"neutral"},{"name":"Labha","start":"17:15","end":"18:53","startHours":17.25628006483225,"endHours":18.88385780360672,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:53","end":"20:15","startHours":18.88385780360672,"endHours":20.25628006483225,"quality":"inauspicious"},{"name":"Chala","start":"20:15","end":"21:38","startHours":20.25628006483225,"endHours":21.628702326057777,"quality":"neutral"},{"name":"Labha","start":"21:38","end":"23:00","startHours":21.628702326057777,"endHours":23.001124587283307,"quality":"auspicious"},{"name":"Amṛta","start":"23:00","end":"00:22","startHours":23.001124587283307,"endHours":24.373546848508838,"quality":"auspicious"},{"name":"Kāla","start":"00:22","end":"01:45","startHours":24.373546848508838,"endHours":25.745969109734368,"quality":"inauspicious"},{"name":"Śubha","start":"01:45","end":"03:07","startHours":25.745969109734368,"endHours":27.1183913709599,"quality":"auspicious"},{"name":"Roga","start":"03:07","end":"04:29","startHours":27.1183913709599,"endHours":28.490813632185425,"quality":"inauspicious"},{"name":"Udveg","start":"04:29","end":"05:52","startHours":28.490813632185425,"endHours":29.863235893410955,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:52","end":"06:52","startHours":5.863235893410955,"endHours":6.863235893410955,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:52","end":"07:52","startHours":6.863235893410955,"endHours":7.863235893410955,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:52","end":"08:52","startHours":7.863235893410955,"endHours":8.863235893410955,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:52","end":"09:52","startHours":8.863235893410955,"endHours":9.863235893410955,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:52","end":"10:52","startHours":9.863235893410955,"endHours":10.863235893410955,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:52","end":"11:52","startHours":10.863235893410955,"endHours":11.863235893410955,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:52","end":"12:52","startHours":11.863235893410955,"endHours":12.863235893410955,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:52","end":"13:52","startHours":12.863235893410955,"endHours":13.863235893410955,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:52","end":"14:52","startHours":13.863235893410955,"endHours":14.863235893410955,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:52","end":"15:52","startHours":14.863235893410955,"endHours":15.863235893410955,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:52","end":"16:52","startHours":15.863235893410955,"endHours":16.863235893410955,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:52","end":"17:52","startHours":16.863235893410955,"endHours":17.863235893410955,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:52","end":"18:52","startHours":17.863235893410955,"endHours":18.863235893410955,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:52","end":"19:52","startHours":18.863235893410955,"endHours":19.863235893410955,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:52","end":"20:52","startHours":19.863235893410955,"endHours":20.863235893410955,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:52","end":"21:52","startHours":20.863235893410955,"endHours":21.863235893410955,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:52","end":"22:52","startHours":21.863235893410955,"endHours":22.863235893410955,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:52","end":"23:52","startHours":22.863235893410955,"endHours":23.863235893410955,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:52","end":"00:52","startHours":23.863235893410955,"endHours":24.863235893410955,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:52","end":"01:52","startHours":24.863235893410955,"endHours":25.863235893410955,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:52","end":"02:52","startHours":25.863235893410955,"endHours":26.863235893410955,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:52","end":"03:52","startHours":26.863235893410955,"endHours":27.863235893410955,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:52","end":"04:52","startHours":27.863235893410955,"endHours":28.863235893410955,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:52","end":"05:52","startHours":28.863235893410955,"endHours":29.863235893410955,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"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":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"South-West","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":12.570368642119801,"eotMinutes":-3.0500109105302213,"ayanamsa":21.6966}},"calendars":{"vikram_samvat":1902,"vikram_samvatsara":"Kālayukta","saka_samvat":1767,"saka_samvatsara":"Viśvāvasu","bengali_samvat":1252,"malayalam_era":1021,"nanakshahi_year":376,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Tṛtīyā · Vikram 1902 Kālayukta · Śaka 1767 Viśvāvasu"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 August 20, 1845 CE · Vṛndāvana · Vidhyamitra","description":"August 20, 1845 CE for Vṛndāvana: Kṛṣṇa Tṛtīyā, sūryodaya 05:52, sūryāsta 18:53.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/1845-08-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/1845-08-20","sa":"https://sa.vidhyamitra.com/city/vrindavan/1845-08-20","hi":"https://hi.vidhyamitra.com/city/vrindavan/1845-08-20","x-default":"https://vidhyamitra.com/city/vrindavan/1845-08-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T23:27:47.480Z","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":"2026-06-02T23:27:47.480Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T23:27:47.480Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}