{"id":"vidhyamitra:city-day:vrindavan:1872-09-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/1872-09-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1872-09-13","date_display":"September 13, 1872 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":1872,"month":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2405049.770833,"kali_year":4974,"ahargana":1816584.2708,"sun":{"sidereal_longitude":148.0382,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":273.2879,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":125.2497,"elapsed_within_tithi_degrees":5.2497},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2,"moon_longitude":273.2879,"elapsed_within_degrees":6.6212},"yoga":{"number":5,"name":"Śobhana","sum_longitude":61.3261},"karana":{"half_tithi_index":20,"name":"Vaṇija"},"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":1872,"month":9,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2405049.770833,"ahargana":1816584.2708,"kali_year":4974,"ayanamsa_lahiri":22.0747,"grahas":{"sun":{"sidereal_longitude":148.45747,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":270.87597000000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false,"latitude":-3.1617},"mars":{"sidereal_longitude":115.70317,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":133.02657,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":118.96577000000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":166.27557000000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":263.71506999999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":48.6233,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":228.6233,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":1872,"month":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2405049.770833,"kali_year":4974,"ahargana":1816584.2708,"sun":{"sidereal_longitude":148.0382,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":273.2879,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":125.2497,"elapsed_within_tithi_degrees":5.2497},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2,"moon_longitude":273.2879,"elapsed_within_degrees":6.6212},"yoga":{"number":5,"name":"Śobhana","sum_longitude":61.3261},"karana":{"half_tithi_index":20,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.162,"elongation":125.25},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.162,"opposition_distance":54.75}},"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":"06:03","sunsetLocal":"18:26","solarNoonLocal":"12:15","dayLengthHours":12.387183051771396,"dayLengthDisplay":"12 Hours 23 Mins 14 Secs","nightLengthDisplay":"11 Hours 36 Mins 46 Secs","moonriseLocal":"15:09","moonsetLocal":"01:40","rahuKala":{"name":"Rāhu Kāla","start":"10:42","end":"12:15","startHours":10.695084269697476,"endHours":12.243482151168902,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:20","end":"16:53","startHours":15.34027791411175,"endHours":16.888675795583175,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:36","end":"09:09","startHours":7.598288506754627,"endHours":9.146686388226051,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:56","end":"09:21","startHours":8.940233337363196,"endHours":9.353139439088908,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:34","end":"06:54","startHours":6.566023252440344,"endHours":6.896348133820914,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:39","startHours":11.830576049443186,"endHours":12.656388252894613,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:24","end":"05:13","startHours":4.39826621838035,"endHours":5.224078421831776,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:01","end":"06:03","startHours":5.017625370968919,"endHours":6.0498906252832025,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:18","end":"15:08","startHours":14.308012659797468,"endHours":15.133824863248895,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:14","end":"18:38","startHours":18.2370736770546,"endHours":18.637073677054598,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:26","end":"18:57","startHours":18.4370736770546,"endHours":18.95320630421174,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:11","end":"19:56","startHours":18.1870736770546,"endHours":19.9370736770546,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:39","startHours":23.830576049443184,"endHours":24.65638825289461,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:03","end":"07:36","startHours":6.0498906252832025,"endHours":7.598288506754627,"quality":"neutral"},{"name":"Labha","start":"07:36","end":"09:09","startHours":7.598288506754627,"endHours":9.146686388226051,"quality":"auspicious"},{"name":"Amṛta","start":"09:09","end":"10:42","startHours":9.146686388226051,"endHours":10.695084269697476,"quality":"auspicious"},{"name":"Kāla","start":"10:42","end":"12:15","startHours":10.695084269697476,"endHours":12.243482151168902,"quality":"inauspicious"},{"name":"Śubha","start":"12:15","end":"13:48","startHours":12.243482151168902,"endHours":13.791880032640325,"quality":"auspicious"},{"name":"Roga","start":"13:48","end":"15:20","startHours":13.791880032640325,"endHours":15.34027791411175,"quality":"inauspicious"},{"name":"Udveg","start":"15:20","end":"16:53","startHours":15.34027791411175,"endHours":16.888675795583175,"quality":"inauspicious"},{"name":"Chala","start":"16:53","end":"18:26","startHours":16.888675795583175,"endHours":18.4370736770546,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:26","end":"19:53","startHours":18.4370736770546,"endHours":19.888675795583175,"quality":"inauspicious"},{"name":"Udveg","start":"19:53","end":"21:20","startHours":19.888675795583175,"endHours":21.34027791411175,"quality":"inauspicious"},{"name":"Chala","start":"21:20","end":"22:48","startHours":21.34027791411175,"endHours":22.791880032640325,"quality":"neutral"},{"name":"Labha","start":"22:48","end":"00:15","startHours":22.791880032640325,"endHours":24.2434821511689,"quality":"auspicious"},{"name":"Amṛta","start":"00:15","end":"01:42","startHours":24.2434821511689,"endHours":25.695084269697475,"quality":"auspicious"},{"name":"Kāla","start":"01:42","end":"03:09","startHours":25.695084269697475,"endHours":27.14668638822605,"quality":"inauspicious"},{"name":"Śubha","start":"03:09","end":"04:36","startHours":27.14668638822605,"endHours":28.598288506754628,"quality":"auspicious"},{"name":"Roga","start":"04:36","end":"06:03","startHours":28.598288506754628,"endHours":30.049890625283204,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:03","end":"07:03","startHours":6.0498906252832025,"endHours":7.0498906252832025,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:03","end":"08:03","startHours":7.0498906252832025,"endHours":8.049890625283203,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:03","end":"09:03","startHours":8.049890625283203,"endHours":9.049890625283203,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:03","end":"10:03","startHours":9.049890625283203,"endHours":10.049890625283203,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:03","end":"11:03","startHours":10.049890625283203,"endHours":11.049890625283203,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:03","end":"12:03","startHours":11.049890625283203,"endHours":12.049890625283203,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:03","end":"13:03","startHours":12.049890625283203,"endHours":13.049890625283203,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:03","end":"14:03","startHours":13.049890625283203,"endHours":14.049890625283203,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:03","end":"15:03","startHours":14.049890625283203,"endHours":15.049890625283203,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:03","end":"16:03","startHours":15.049890625283203,"endHours":16.049890625283204,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:03","end":"17:03","startHours":16.049890625283204,"endHours":17.049890625283204,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:03","end":"18:03","startHours":17.049890625283204,"endHours":18.049890625283204,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:03","end":"19:03","startHours":18.049890625283204,"endHours":19.049890625283204,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:03","end":"20:03","startHours":19.049890625283204,"endHours":20.049890625283204,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:03","end":"21:03","startHours":20.049890625283204,"endHours":21.049890625283204,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:03","end":"22:03","startHours":21.049890625283204,"endHours":22.049890625283204,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:03","end":"23:03","startHours":22.049890625283204,"endHours":23.049890625283204,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:03","end":"00:03","startHours":23.049890625283204,"endHours":24.049890625283204,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:03","end":"01:03","startHours":24.049890625283204,"endHours":25.049890625283204,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:03","end":"02:03","startHours":25.049890625283204,"endHours":26.049890625283204,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:03","end":"03:03","startHours":26.049890625283204,"endHours":27.049890625283204,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:03","end":"04:03","startHours":27.049890625283204,"endHours":28.049890625283204,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:03","end":"05:03","startHours":28.049890625283204,"endHours":29.049890625283204,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:03","end":"06:03","startHours":29.049890625283204,"endHours":30.049890625283204,"planetary_lord":"Mars"}],"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":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"South-East","anandadiYoga":{"name":"Mānasa","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":3.7512286326306885,"eotMinutes":4.753870929866006,"ayanamsa":22.0747}},"calendars":{"vikram_samvat":1929,"vikram_samvatsara":"Pārthiva","saka_samvat":1794,"saka_samvatsara":"Aṅgirasa","bengali_samvat":1279,"malayalam_era":1048,"nanakshahi_year":403,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Bhādrapada","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 Śukla Ekādaśī · Vikram 1929 Pārthiva · Śaka 1794 Aṅgirasa"},"festivals":[{"id":"parsva-ekadashi","name":"Pārśva (Parivartinī) Ekādaśī","name_sanskrit":"पार्श्व एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu (turning side in yoga-nidrā)","significance":"Viṣṇu turns from one side to another in yoga-nidrā (mid-Cāturmāsya).","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Bhādrapada"},"precedence":3},{"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":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 September 13, 1872 CE · Vṛndāvana · Vidhyamitra","description":"September 13, 1872 CE for Vṛndāvana: Śukla Ekādaśī, sūryodaya 06:03, sūryāsta 18:26.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/1872-09-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/1872-09-13","sa":"https://sa.vidhyamitra.com/city/vrindavan/1872-09-13","hi":"https://hi.vidhyamitra.com/city/vrindavan/1872-09-13","x-default":"https://vidhyamitra.com/city/vrindavan/1872-09-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T04:22:40.034Z","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":"2026-06-03T04:22:40.034Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T04:22:40.034Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}