{"id":"vidhyamitra:city-day:vrindavan:1867-12-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/1867-12-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1867-12-16","date_display":"December 16, 1867 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":1867,"month":12,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2403316.770833,"kali_year":4969,"ahargana":1814851.2708,"sun":{"sidereal_longitude":241.6009,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":121.2237,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":239.6228,"elapsed_within_tithi_degrees":11.6228},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":121.2237,"elapsed_within_degrees":1.2237},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":2.8246},"karana":{"half_tithi_index":39,"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":1867,"month":12,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2403316.770833,"ahargana":1814851.2708,"kali_year":4969,"ayanamsa_lahiri":22.0085,"grahas":{"sun":{"sidereal_longitude":241.65148299999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":124.65128300000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false,"latitude":-1.4802},"mars":{"sidereal_longitude":247.88628300000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":223.44478300000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":312.229383,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":263.736583,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":218.736083,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":140.446,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":320.446,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","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":1867,"month":12,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2403316.770833,"kali_year":4969,"ahargana":1814851.2708,"sun":{"sidereal_longitude":241.6009,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":121.2237,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":239.6228,"elapsed_within_tithi_degrees":11.6228},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":121.2237,"elapsed_within_degrees":1.2237},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":2.8246},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.48,"elongation":120.377},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.48,"opposition_distance":59.623}},"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":"07:03","sunsetLocal":"17:28","solarNoonLocal":"12:16","dayLengthHours":10.408730572242861,"dayLengthDisplay":"10 Hours 24 Mins 31 Secs","nightLengthDisplay":"13 Hours 35 Mins 29 Secs","moonriseLocal":"21:58","moonsetLocal":"10:57","rahuKala":{"name":"Rāhu Kāla","start":"08:21","end":"09:40","startHours":8.357490754956052,"endHours":9.65858207648641,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:58","end":"12:16","startHours":10.959673398016768,"endHours":12.260764719547126,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:34","end":"14:52","startHours":13.561856041077483,"endHours":14.86294736260784,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:29","end":"09:50","startHours":9.485103233615696,"endHours":9.832060919357124,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:29","end":"07:46","startHours":7.49009654060248,"endHours":7.767662689195624,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:36","startHours":11.913807033805696,"endHours":12.607722405288555,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:40","end":"06:22","startHours":5.6685686904599795,"endHours":6.362484061942837,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:11","end":"07:03","startHours":6.189005219072122,"endHours":7.056399433425694,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:00","end":"14:41","startHours":13.995553148254269,"endHours":14.689468519737126,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:16","end":"17:40","startHours":17.265130005668556,"endHours":17.665130005668555,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:28","end":"17:54","startHours":17.465130005668556,"endHours":17.898827112845343,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:13","end":"18:58","startHours":17.215130005668556,"endHours":18.965130005668556,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:36","startHours":23.913807033805696,"endHours":24.607722405288555,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:03","end":"08:21","startHours":7.056399433425694,"endHours":8.357490754956052,"quality":"auspicious"},{"name":"Kāla","start":"08:21","end":"09:40","startHours":8.357490754956052,"endHours":9.65858207648641,"quality":"inauspicious"},{"name":"Śubha","start":"09:40","end":"10:58","startHours":9.65858207648641,"endHours":10.959673398016768,"quality":"auspicious"},{"name":"Roga","start":"10:58","end":"12:16","startHours":10.959673398016768,"endHours":12.260764719547126,"quality":"inauspicious"},{"name":"Udveg","start":"12:16","end":"13:34","startHours":12.260764719547126,"endHours":13.561856041077483,"quality":"inauspicious"},{"name":"Chala","start":"13:34","end":"14:52","startHours":13.561856041077483,"endHours":14.86294736260784,"quality":"neutral"},{"name":"Labha","start":"14:52","end":"16:10","startHours":14.86294736260784,"endHours":16.164038684138198,"quality":"auspicious"},{"name":"Amṛta","start":"16:10","end":"17:28","startHours":16.164038684138198,"endHours":17.465130005668556,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:28","end":"19:10","startHours":17.465130005668556,"endHours":19.164038684138198,"quality":"neutral"},{"name":"Labha","start":"19:10","end":"20:52","startHours":19.164038684138198,"endHours":20.86294736260784,"quality":"auspicious"},{"name":"Amṛta","start":"20:52","end":"22:34","startHours":20.86294736260784,"endHours":22.561856041077483,"quality":"auspicious"},{"name":"Kāla","start":"22:34","end":"00:16","startHours":22.561856041077483,"endHours":24.260764719547126,"quality":"inauspicious"},{"name":"Śubha","start":"00:16","end":"01:58","startHours":24.260764719547126,"endHours":25.95967339801677,"quality":"auspicious"},{"name":"Roga","start":"01:58","end":"03:40","startHours":25.95967339801677,"endHours":27.65858207648641,"quality":"inauspicious"},{"name":"Udveg","start":"03:40","end":"05:21","startHours":27.65858207648641,"endHours":29.357490754956054,"quality":"inauspicious"},{"name":"Chala","start":"05:21","end":"07:03","startHours":29.357490754956054,"endHours":31.056399433425696,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:03","end":"08:03","startHours":7.056399433425694,"endHours":8.056399433425694,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:03","end":"09:03","startHours":8.056399433425694,"endHours":9.056399433425694,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:03","end":"10:03","startHours":9.056399433425694,"endHours":10.056399433425694,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:03","end":"11:03","startHours":10.056399433425694,"endHours":11.056399433425694,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:03","end":"12:03","startHours":11.056399433425694,"endHours":12.056399433425694,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:03","end":"13:03","startHours":12.056399433425694,"endHours":13.056399433425694,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:03","end":"14:03","startHours":13.056399433425694,"endHours":14.056399433425694,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:03","end":"15:03","startHours":14.056399433425694,"endHours":15.056399433425694,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:03","end":"16:03","startHours":15.056399433425694,"endHours":16.056399433425696,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:03","end":"17:03","startHours":16.056399433425696,"endHours":17.056399433425696,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:03","end":"18:03","startHours":17.056399433425696,"endHours":18.056399433425696,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:03","end":"19:03","startHours":18.056399433425696,"endHours":19.056399433425696,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:03","end":"20:03","startHours":19.056399433425696,"endHours":20.056399433425696,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:03","end":"21:03","startHours":20.056399433425696,"endHours":21.056399433425696,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:03","end":"22:03","startHours":21.056399433425696,"endHours":22.056399433425696,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:03","end":"23:03","startHours":22.056399433425696,"endHours":23.056399433425696,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:03","end":"00:03","startHours":23.056399433425696,"endHours":24.056399433425696,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:03","end":"01:03","startHours":24.056399433425696,"endHours":25.056399433425696,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:03","end":"02:03","startHours":25.056399433425696,"endHours":26.056399433425696,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:03","end":"03:03","startHours":26.056399433425696,"endHours":27.056399433425696,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:03","end":"04:03","startHours":27.056399433425696,"endHours":28.056399433425696,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:03","end":"05:03","startHours":28.056399433425696,"endHours":29.056399433425696,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:03","end":"06:03","startHours":29.056399433425696,"endHours":30.056399433425696,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:03","end":"07:03","startHours":30.056399433425696,"endHours":31.056399433425696,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"West","rahuVasa":"North-East","anandadiYoga":{"name":"Padma","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.284682975824527,"eotMinutes":3.716916827172506,"ayanamsa":22.0085}},"calendars":{"vikram_samvat":1924,"vikram_samvatsara":"Vikrama","saka_samvat":1789,"saka_samvatsara":"Prabhava","bengali_samvat":1274,"malayalam_era":1043,"nanakshahi_year":398,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Pañcamī · Vikram 1924 Vikrama · Śaka 1789 Prabhava"},"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 December 16, 1867 CE · Vṛndāvana · Vidhyamitra","description":"December 16, 1867 CE for Vṛndāvana: Kṛṣṇa Pañcamī, sūryodaya 07:03, sūryāsta 17:28.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/1867-12-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/1867-12-16","sa":"https://sa.vidhyamitra.com/city/vrindavan/1867-12-16","hi":"https://hi.vidhyamitra.com/city/vrindavan/1867-12-16","x-default":"https://vidhyamitra.com/city/vrindavan/1867-12-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T09:43:33.065Z","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":"2026-06-03T09:43:33.065Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T09:43:33.065Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}