{"id":"vidhyamitra:city-day:vrindavan:1864-08-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/1864-08-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1864-08-13","date_display":"August 13, 1864 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":1864,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2402096.770833,"kali_year":4966,"ahargana":1813631.2708,"sun":{"sidereal_longitude":118.2329,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":239.1857,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":120.9529,"elapsed_within_tithi_degrees":0.9529},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4,"moon_longitude":239.1857,"elapsed_within_degrees":12.5191},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":357.4186},"karana":{"half_tithi_index":20,"name":"Vaṇija"},"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":1864,"month":8,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2402096.770833,"ahargana":1813631.2708,"kali_year":4966,"ayanamsa_lahiri":21.9618,"grahas":{"sun":{"sidereal_longitude":118.52059600000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":236.50309600000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false,"latitude":2.521},"mars":{"sidereal_longitude":32.61919599999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":143.25599599999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":209.28429600000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":127.48459600000001,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":173.15879599999994,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":205.0875,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":25.0875,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":1864,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2402096.770833,"kali_year":4966,"ahargana":1813631.2708,"sun":{"sidereal_longitude":118.2329,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":239.1857,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":120.9529,"elapsed_within_tithi_degrees":0.9529},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4,"moon_longitude":239.1857,"elapsed_within_degrees":12.5191},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":357.4186},"karana":{"half_tithi_index":20,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.521,"elongation":120.953},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.521,"opposition_distance":59.047}},"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":"05:49","sunsetLocal":"18:59","solarNoonLocal":"12:24","dayLengthHours":13.177379029084683,"dayLengthDisplay":"13 Hours 10 Mins 39 Secs","nightLengthDisplay":"10 Hours 49 Mins 21 Secs","moonriseLocal":"15:04","moonsetLocal":"01:28","rahuKala":{"name":"Rāhu Kāla","start":"09:06","end":"10:45","startHours":9.104393921699089,"endHours":10.751566300334673,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:03","end":"15:42","startHours":14.045911057605842,"endHours":15.69308343624143,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:49","end":"07:27","startHours":5.810049164427917,"endHours":7.457221543063502,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:53","end":"09:19","startHours":8.88477093788101,"endHours":9.324016905517166,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:22","end":"06:43","startHours":6.359106623973112,"endHours":6.710503398082037,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:50","startHours":11.959492711334102,"endHours":12.837984646606413,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:03","end":"04:56","startHours":4.053065293883293,"endHours":4.9315572291556045,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:43","end":"05:49","startHours":4.711934245337527,"endHours":5.810049164427917,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:36","end":"15:28","startHours":14.594968517151038,"endHours":15.47346045242335,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:47","end":"19:11","startHours":18.7874281935126,"endHours":19.1874281935126,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:59","end":"19:32","startHours":18.9874281935126,"endHours":19.536485653057795,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:44","end":"20:29","startHours":18.7374281935126,"endHours":20.4874281935126,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:50","startHours":23.9594927113341,"endHours":24.837984646606415,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:49","end":"07:27","startHours":5.810049164427917,"endHours":7.457221543063502,"quality":"inauspicious"},{"name":"Śubha","start":"07:27","end":"09:06","startHours":7.457221543063502,"endHours":9.104393921699089,"quality":"auspicious"},{"name":"Roga","start":"09:06","end":"10:45","startHours":9.104393921699089,"endHours":10.751566300334673,"quality":"inauspicious"},{"name":"Udveg","start":"10:45","end":"12:24","startHours":10.751566300334673,"endHours":12.398738678970258,"quality":"inauspicious"},{"name":"Chala","start":"12:24","end":"14:03","startHours":12.398738678970258,"endHours":14.045911057605842,"quality":"neutral"},{"name":"Labha","start":"14:03","end":"15:42","startHours":14.045911057605842,"endHours":15.69308343624143,"quality":"auspicious"},{"name":"Amṛta","start":"15:42","end":"17:20","startHours":15.69308343624143,"endHours":17.340255814877015,"quality":"auspicious"},{"name":"Kāla","start":"17:20","end":"18:59","startHours":17.340255814877015,"endHours":18.9874281935126,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:59","end":"20:20","startHours":18.9874281935126,"endHours":20.340255814877015,"quality":"auspicious"},{"name":"Amṛta","start":"20:20","end":"21:42","startHours":20.340255814877015,"endHours":21.69308343624143,"quality":"auspicious"},{"name":"Kāla","start":"21:42","end":"23:03","startHours":21.69308343624143,"endHours":23.045911057605842,"quality":"inauspicious"},{"name":"Śubha","start":"23:03","end":"00:24","startHours":23.045911057605842,"endHours":24.398738678970258,"quality":"auspicious"},{"name":"Roga","start":"00:24","end":"01:45","startHours":24.398738678970258,"endHours":25.751566300334673,"quality":"inauspicious"},{"name":"Udveg","start":"01:45","end":"03:06","startHours":25.751566300334673,"endHours":27.104393921699085,"quality":"inauspicious"},{"name":"Chala","start":"03:06","end":"04:27","startHours":27.104393921699085,"endHours":28.4572215430635,"quality":"neutral"},{"name":"Labha","start":"04:27","end":"05:49","startHours":28.4572215430635,"endHours":29.810049164427916,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:49","end":"06:49","startHours":5.810049164427917,"endHours":6.810049164427917,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:49","end":"07:49","startHours":6.810049164427917,"endHours":7.810049164427917,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:49","end":"08:49","startHours":7.810049164427917,"endHours":8.810049164427916,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:49","end":"09:49","startHours":8.810049164427916,"endHours":9.810049164427916,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:49","end":"10:49","startHours":9.810049164427916,"endHours":10.810049164427916,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:49","end":"11:49","startHours":10.810049164427916,"endHours":11.810049164427916,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:49","end":"12:49","startHours":11.810049164427916,"endHours":12.810049164427916,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:49","end":"13:49","startHours":12.810049164427916,"endHours":13.810049164427916,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:49","end":"14:49","startHours":13.810049164427916,"endHours":14.810049164427916,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:49","end":"15:49","startHours":14.810049164427916,"endHours":15.810049164427916,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:49","end":"16:49","startHours":15.810049164427916,"endHours":16.810049164427916,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:49","end":"17:49","startHours":16.810049164427916,"endHours":17.810049164427916,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:49","end":"18:49","startHours":17.810049164427916,"endHours":18.810049164427916,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:49","end":"19:49","startHours":18.810049164427916,"endHours":19.810049164427916,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:49","end":"20:49","startHours":19.810049164427916,"endHours":20.810049164427916,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:49","end":"21:49","startHours":20.810049164427916,"endHours":21.810049164427916,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:49","end":"22:49","startHours":21.810049164427916,"endHours":22.810049164427916,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:49","end":"23:49","startHours":22.810049164427916,"endHours":23.810049164427916,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:49","end":"00:49","startHours":23.810049164427916,"endHours":24.810049164427916,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:49","end":"01:49","startHours":24.810049164427916,"endHours":25.810049164427916,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:49","end":"02:49","startHours":25.810049164427916,"endHours":26.810049164427916,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:49","end":"03:49","startHours":26.810049164427916,"endHours":27.810049164427916,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:49","end":"04:49","startHours":27.810049164427916,"endHours":28.810049164427916,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:49","end":"05:49","startHours":28.810049164427916,"endHours":29.810049164427916,"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":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-East","rahuVasa":"East","anandadiYoga":{"name":"Padma","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":14.660037664361843,"eotMinutes":-4.561520738215509,"ayanamsa":21.9618}},"calendars":{"vikram_samvat":1921,"vikram_samvatsara":"Īśvara","saka_samvat":1786,"saka_samvatsara":"Raktākṣī","bengali_samvat":1271,"malayalam_era":1040,"nanakshahi_year":395,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Ekādaśī · Vikram 1921 Īśvara · Śaka 1786 Raktākṣī"},"festivals":[{"id":"pavitropana-ekadashi","name":"Pavitropanā Ekādaśī (Putradā)","name_sanskrit":"पवित्रोपना एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Confers son; pavitra (sacred thread) ceremony for Viṣṇu.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Śrāvaṇa"},"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":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Jyeṣṭhā","url":"/day/-3137-10-20","relevance":0.5}]},"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 13, 1864 CE · Vṛndāvana · Vidhyamitra","description":"August 13, 1864 CE for Vṛndāvana: Śukla Ekādaśī, sūryodaya 05:49, sūryāsta 18:59.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/1864-08-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/1864-08-13","sa":"https://sa.vidhyamitra.com/city/vrindavan/1864-08-13","hi":"https://hi.vidhyamitra.com/city/vrindavan/1864-08-13","x-default":"https://vidhyamitra.com/city/vrindavan/1864-08-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T13:52:49.735Z","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":"2026-06-01T13:52:49.735Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T13:52:49.735Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}