{"id":"vidhyamitra:city-day:vrindavan:1872-10-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/1872-10-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1872-10-18","date_display":"October 18, 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":10,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2405084.770833,"kali_year":4974,"ahargana":1816619.2708,"sun":{"sidereal_longitude":182.4918,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":21.6812,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":199.1894,"elapsed_within_tithi_degrees":7.1894},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":21.6812,"elapsed_within_degrees":8.3479},"yoga":{"number":16,"name":"Siddhi","sum_longitude":204.173},"karana":{"half_tithi_index":33,"name":"Gara"},"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":10,"day":18,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2405084.770833,"ahargana":1816619.2708,"kali_year":4974,"ayanamsa_lahiri":22.0761,"grahas":{"sun":{"sidereal_longitude":182.90783299999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":20.482233000000008,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false,"latitude":-1.9064},"mars":{"sidereal_longitude":137.282733,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":187.84973300000001,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":125.35413299999999,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":209.56113299999993,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":264.37723299999993,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":46.7688,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":226.7688,"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":10,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2405084.770833,"kali_year":4974,"ahargana":1816619.2708,"sun":{"sidereal_longitude":182.4918,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":21.6812,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":199.1894,"elapsed_within_tithi_degrees":7.1894},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":21.6812,"elapsed_within_degrees":8.3479},"yoga":{"number":16,"name":"Siddhi","sum_longitude":204.173},"karana":{"half_tithi_index":33,"name":"Gara"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.906,"elongation":160.811},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.906,"opposition_distance":19.189}},"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":"06:21","sunsetLocal":"17:47","solarNoonLocal":"12:04","dayLengthHours":11.447037777749964,"dayLengthDisplay":"11 Hours 26 Mins 49 Secs","nightLengthDisplay":"12 Hours 33 Mins 11 Secs","moonriseLocal":"18:38","moonsetLocal":"07:51","rahuKala":{"name":"Rāhu Kāla","start":"10:38","end":"12:04","startHours":10.635239307727614,"endHours":12.06611902994636,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:56","end":"16:22","startHours":14.927878474383851,"endHours":16.358758196602594,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:46","end":"09:12","startHours":7.773479863290123,"endHours":9.204359585508868,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:01","end":"09:24","startHours":9.01357562254637,"endHours":9.395143548471367,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:49","end":"07:07","startHours":6.819560048477626,"endHours":7.124814389217626,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:27","startHours":11.684551104021361,"endHours":12.44768695587136,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:49","end":"05:35","startHours":4.816328437371382,"endHours":5.57946428922138,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:23","end":"06:21","startHours":5.38868032625888,"endHours":6.342600141071378,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:58","end":"14:44","startHours":13.973958659571354,"endHours":14.73709451142135,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:35","end":"17:59","startHours":17.589637918821342,"endHours":17.98963791882134,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:47","end":"18:16","startHours":17.78963791882134,"endHours":18.26659782622759,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:32","end":"19:17","startHours":17.53963791882134,"endHours":19.28963791882134,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:27","startHours":23.684551104021363,"endHours":24.447686955871358,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:21","end":"07:46","startHours":6.342600141071378,"endHours":7.773479863290123,"quality":"neutral"},{"name":"Labha","start":"07:46","end":"09:12","startHours":7.773479863290123,"endHours":9.204359585508868,"quality":"auspicious"},{"name":"Amṛta","start":"09:12","end":"10:38","startHours":9.204359585508868,"endHours":10.635239307727614,"quality":"auspicious"},{"name":"Kāla","start":"10:38","end":"12:04","startHours":10.635239307727614,"endHours":12.06611902994636,"quality":"inauspicious"},{"name":"Śubha","start":"12:04","end":"13:30","startHours":12.06611902994636,"endHours":13.496998752165105,"quality":"auspicious"},{"name":"Roga","start":"13:30","end":"14:56","startHours":13.496998752165105,"endHours":14.927878474383851,"quality":"inauspicious"},{"name":"Udveg","start":"14:56","end":"16:22","startHours":14.927878474383851,"endHours":16.358758196602594,"quality":"inauspicious"},{"name":"Chala","start":"16:22","end":"17:47","startHours":16.358758196602594,"endHours":17.78963791882134,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:47","end":"19:22","startHours":17.78963791882134,"endHours":19.358758196602597,"quality":"inauspicious"},{"name":"Udveg","start":"19:22","end":"20:56","startHours":19.358758196602597,"endHours":20.92787847438385,"quality":"inauspicious"},{"name":"Chala","start":"20:56","end":"22:30","startHours":20.92787847438385,"endHours":22.496998752165105,"quality":"neutral"},{"name":"Labha","start":"22:30","end":"00:04","startHours":22.496998752165105,"endHours":24.06611902994636,"quality":"auspicious"},{"name":"Amṛta","start":"00:04","end":"01:38","startHours":24.06611902994636,"endHours":25.635239307727616,"quality":"auspicious"},{"name":"Kāla","start":"01:38","end":"03:12","startHours":25.635239307727616,"endHours":27.20435958550887,"quality":"inauspicious"},{"name":"Śubha","start":"03:12","end":"04:46","startHours":27.20435958550887,"endHours":28.773479863290124,"quality":"auspicious"},{"name":"Roga","start":"04:46","end":"06:21","startHours":28.773479863290124,"endHours":30.34260014107138,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:21","end":"07:21","startHours":6.342600141071378,"endHours":7.342600141071378,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:21","end":"08:21","startHours":7.342600141071378,"endHours":8.342600141071378,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:21","end":"09:21","startHours":8.342600141071378,"endHours":9.342600141071378,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:21","end":"10:21","startHours":9.342600141071378,"endHours":10.342600141071378,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:21","end":"11:21","startHours":10.342600141071378,"endHours":11.342600141071378,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:21","end":"12:21","startHours":11.342600141071378,"endHours":12.342600141071378,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:21","end":"13:21","startHours":12.342600141071378,"endHours":13.342600141071378,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:21","end":"14:21","startHours":13.342600141071378,"endHours":14.342600141071378,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:21","end":"15:21","startHours":14.342600141071378,"endHours":15.342600141071378,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:21","end":"16:21","startHours":15.342600141071378,"endHours":16.34260014107138,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:21","end":"17:21","startHours":16.34260014107138,"endHours":17.34260014107138,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:21","end":"18:21","startHours":17.34260014107138,"endHours":18.34260014107138,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:21","end":"19:21","startHours":18.34260014107138,"endHours":19.34260014107138,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:21","end":"20:21","startHours":19.34260014107138,"endHours":20.34260014107138,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:21","end":"21:21","startHours":20.34260014107138,"endHours":21.34260014107138,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:21","end":"22:21","startHours":21.34260014107138,"endHours":22.34260014107138,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:21","end":"23:21","startHours":22.34260014107138,"endHours":23.34260014107138,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:21","end":"00:21","startHours":23.34260014107138,"endHours":24.34260014107138,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:21","end":"01:21","startHours":24.34260014107138,"endHours":25.34260014107138,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:21","end":"02:21","startHours":25.34260014107138,"endHours":26.34260014107138,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:21","end":"03:21","startHours":26.34260014107138,"endHours":27.34260014107138,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:21","end":"04:21","startHours":27.34260014107138,"endHours":28.34260014107138,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:21","end":"05:21","startHours":28.34260014107138,"endHours":29.34260014107138,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:21","end":"06:21","startHours":29.34260014107138,"endHours":30.34260014107138,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"South-East","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-9.670852541580023,"eotMinutes":15.395658203218455,"ayanamsa":22.0761}},"calendars":{"vikram_samvat":1929,"vikram_samvatsara":"Pārthiva","saka_samvat":1794,"saka_samvatsara":"Aṅgirasa","bengali_samvat":1279,"malayalam_era":1048,"nanakshahi_year":403,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Dvitīyā · Vikram 1929 Pārthiva · Śaka 1794 Aṅgirasa"},"festivals":[],"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 October 18, 1872 CE · Vṛndāvana · Vidhyamitra","description":"October 18, 1872 CE for Vṛndāvana: Kṛṣṇa Dvitīyā, sūryodaya 06:21, sūryāsta 17:47.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/1872-10-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/1872-10-18","sa":"https://sa.vidhyamitra.com/city/vrindavan/1872-10-18","hi":"https://hi.vidhyamitra.com/city/vrindavan/1872-10-18","x-default":"https://vidhyamitra.com/city/vrindavan/1872-10-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T10:41:24.200Z","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":"2026-06-01T10:41:24.200Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T10:41:24.200Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}