{"id":"vidhyamitra:city-day:vrindavan:1864-10-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/1864-10-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1864-10-03","date_display":"October 3, 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":10,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2402147.770833,"kali_year":4966,"ahargana":1813682.2708,"sun":{"sidereal_longitude":167.6909,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":192.6358,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":24.9449,"elapsed_within_tithi_degrees":0.9449},"nakshatra":{"number":15,"name":"Svātī","pada":2,"moon_longitude":192.6358,"elapsed_within_degrees":5.9692},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":0.3267},"karana":{"half_tithi_index":4,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":10,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2402147.770833,"ahargana":1813682.2708,"kali_year":4966,"ayanamsa_lahiri":21.9637,"grahas":{"sun":{"sidereal_longitude":168.108748,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"moon":{"sidereal_longitude":191.42554800000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false,"latitude":-0.7613},"mars":{"sidereal_longitude":55.89294799999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":true},"mercury":{"sidereal_longitude":155.19514800000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":216.47214800000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":190.60164800000007,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":178.637248,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":202.3852,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":22.3852,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"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":10,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2402147.770833,"kali_year":4966,"ahargana":1813682.2708,"sun":{"sidereal_longitude":167.6909,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":192.6358,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":24.9449,"elapsed_within_tithi_degrees":0.9449},"nakshatra":{"number":15,"name":"Svātī","pada":2,"moon_longitude":192.6358,"elapsed_within_degrees":5.9692},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":0.3267},"karana":{"half_tithi_index":4,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.761,"elongation":24.945},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.761,"opposition_distance":155.055}},"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":"06:12","sunsetLocal":"18:03","solarNoonLocal":"12:08","dayLengthHours":11.847506172913604,"dayLengthDisplay":"11 Hours 50 Mins 51 Secs","nightLengthDisplay":"12 Hours 09 Mins 09 Secs","moonriseLocal":"08:05","moonsetLocal":"19:17","rahuKala":{"name":"Rāhu Kāla","start":"07:41","end":"09:10","startHours":7.683326367131475,"endHours":9.164264638745674,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:39","end":"12:08","startHours":10.645202910359876,"endHours":12.126141181974077,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:36","end":"15:05","startHours":13.607079453588277,"endHours":15.088017725202477,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:58","end":"09:22","startHours":8.96680620253045,"endHours":9.361723074960903,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:42","end":"07:01","startHours":6.696034186055341,"endHours":7.011967683999703,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:44","end":"12:31","startHours":11.731224309543624,"endHours":12.52105805440453,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:37","end":"05:25","startHours":4.62272060579546,"endHours":5.412554350656367,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:13","end":"06:12","startHours":5.21509591444114,"endHours":6.202388095517274,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:06","end":"14:53","startHours":14.100725544126345,"endHours":14.890559288987252,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:51","end":"18:15","startHours":17.84989426843088,"endHours":18.24989426843088,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:03","end":"18:33","startHours":18.04989426843088,"endHours":18.543540358968947,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:48","end":"19:33","startHours":17.79989426843088,"endHours":19.54989426843088,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:44","end":"00:31","startHours":23.731224309543624,"endHours":24.52105805440453,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:12","end":"07:41","startHours":6.202388095517274,"endHours":7.683326367131475,"quality":"auspicious"},{"name":"Kāla","start":"07:41","end":"09:10","startHours":7.683326367131475,"endHours":9.164264638745674,"quality":"inauspicious"},{"name":"Śubha","start":"09:10","end":"10:39","startHours":9.164264638745674,"endHours":10.645202910359876,"quality":"auspicious"},{"name":"Roga","start":"10:39","end":"12:08","startHours":10.645202910359876,"endHours":12.126141181974077,"quality":"inauspicious"},{"name":"Udveg","start":"12:08","end":"13:36","startHours":12.126141181974077,"endHours":13.607079453588277,"quality":"inauspicious"},{"name":"Chala","start":"13:36","end":"15:05","startHours":13.607079453588277,"endHours":15.088017725202477,"quality":"neutral"},{"name":"Labha","start":"15:05","end":"16:34","startHours":15.088017725202477,"endHours":16.56895599681668,"quality":"auspicious"},{"name":"Amṛta","start":"16:34","end":"18:03","startHours":16.56895599681668,"endHours":18.04989426843088,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:03","end":"19:34","startHours":18.04989426843088,"endHours":19.56895599681668,"quality":"neutral"},{"name":"Labha","start":"19:34","end":"21:05","startHours":19.56895599681668,"endHours":21.088017725202477,"quality":"auspicious"},{"name":"Amṛta","start":"21:05","end":"22:36","startHours":21.088017725202477,"endHours":22.607079453588277,"quality":"auspicious"},{"name":"Kāla","start":"22:36","end":"00:08","startHours":22.607079453588277,"endHours":24.126141181974077,"quality":"inauspicious"},{"name":"Śubha","start":"00:08","end":"01:39","startHours":24.126141181974077,"endHours":25.645202910359878,"quality":"auspicious"},{"name":"Roga","start":"01:39","end":"03:10","startHours":25.645202910359878,"endHours":27.164264638745678,"quality":"inauspicious"},{"name":"Udveg","start":"03:10","end":"04:41","startHours":27.164264638745678,"endHours":28.683326367131475,"quality":"inauspicious"},{"name":"Chala","start":"04:41","end":"06:12","startHours":28.683326367131475,"endHours":30.202388095517275,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:12","end":"07:12","startHours":6.202388095517274,"endHours":7.202388095517274,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:12","end":"08:12","startHours":7.202388095517274,"endHours":8.202388095517275,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:12","end":"09:12","startHours":8.202388095517275,"endHours":9.202388095517275,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:12","end":"10:12","startHours":9.202388095517275,"endHours":10.202388095517275,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:12","end":"11:12","startHours":10.202388095517275,"endHours":11.202388095517275,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:12","end":"12:12","startHours":11.202388095517275,"endHours":12.202388095517275,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:12","end":"13:12","startHours":12.202388095517275,"endHours":13.202388095517275,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:12","end":"14:12","startHours":13.202388095517275,"endHours":14.202388095517275,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:12","end":"15:12","startHours":14.202388095517275,"endHours":15.202388095517275,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:12","end":"16:12","startHours":15.202388095517275,"endHours":16.202388095517275,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:12","end":"17:12","startHours":16.202388095517275,"endHours":17.202388095517275,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:12","end":"18:12","startHours":17.202388095517275,"endHours":18.202388095517275,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:12","end":"19:12","startHours":18.202388095517275,"endHours":19.202388095517275,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:12","end":"20:12","startHours":19.202388095517275,"endHours":20.202388095517275,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:12","end":"21:12","startHours":20.202388095517275,"endHours":21.202388095517275,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:12","end":"22:12","startHours":21.202388095517275,"endHours":22.202388095517275,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:12","end":"23:12","startHours":22.202388095517275,"endHours":23.202388095517275,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:12","end":"00:12","startHours":23.202388095517275,"endHours":24.202388095517275,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:12","end":"01:12","startHours":24.202388095517275,"endHours":25.202388095517275,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:12","end":"02:12","startHours":25.202388095517275,"endHours":26.202388095517275,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:12","end":"03:12","startHours":26.202388095517275,"endHours":27.202388095517275,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:12","end":"04:12","startHours":27.202388095517275,"endHours":28.202388095517275,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:12","end":"05:12","startHours":28.202388095517275,"endHours":29.202388095517275,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:12","end":"06:12","startHours":29.202388095517275,"endHours":30.202388095517275,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"North","rahuVasa":"North-East","anandadiYoga":{"name":"Siddhi","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-3.9887577776578493,"eotMinutes":11.794329081555436,"ayanamsa":21.9637}},"calendars":{"vikram_samvat":1921,"vikram_samvatsara":"Īśvara","saka_samvat":1786,"saka_samvatsara":"Raktākṣī","bengali_samvat":1271,"malayalam_era":1040,"nanakshahi_year":395,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Tṛtīyā · Vikram 1921 Īśvara · Śaka 1786 Raktākṣī"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 October 3, 1864 CE · Vṛndāvana · Vidhyamitra","description":"October 3, 1864 CE for Vṛndāvana: Śukla Tṛtīyā, sūryodaya 06:12, sūryāsta 18:03.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/1864-10-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/1864-10-03","sa":"https://sa.vidhyamitra.com/city/vrindavan/1864-10-03","hi":"https://hi.vidhyamitra.com/city/vrindavan/1864-10-03","x-default":"https://vidhyamitra.com/city/vrindavan/1864-10-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T19:06:05.452Z","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":"2026-06-02T19:06:05.452Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T19:06:05.452Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}