{"id":"vidhyamitra:city-day:vrindavan:2166-01-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2166-01-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2166-01-16","date_display":"January 16, 2166 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":2166,"month":1,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2512190.770833,"kali_year":5267,"ahargana":1923725.2708,"sun":{"sidereal_longitude":269.2359,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":87.6583,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":178.4224,"elapsed_within_tithi_degrees":10.4224},"nakshatra":{"number":7,"name":"Punarvasu","pada":3,"moon_longitude":87.6583,"elapsed_within_degrees":7.6583},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":356.8942},"karana":{"half_tithi_index":29,"name":"Bava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2166,"month":1,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2512190.770833,"ahargana":1923725.2708,"kali_year":5267,"ayanamsa_lahiri":26.1725,"grahas":{"sun":{"sidereal_longitude":269.749196,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":86.55159600000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false,"latitude":-3.131},"mars":{"sidereal_longitude":64.45869600000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":285.40599599999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":358.140896,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":222.383196,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":254.60899599999993,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":131.7775,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":311.7775,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"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":2166,"month":1,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2512190.770833,"kali_year":5267,"ahargana":1923725.2708,"sun":{"sidereal_longitude":269.2359,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":87.6583,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":178.4224,"elapsed_within_tithi_degrees":10.4224},"nakshatra":{"number":7,"name":"Punarvasu","pada":3,"moon_longitude":87.6583,"elapsed_within_degrees":7.6583},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":356.8942},"karana":{"half_tithi_index":29,"name":"Bava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.131,"elongation":178.422},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.131,"opposition_distance":1.578}},"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":"07:11","sunsetLocal":"17:47","solarNoonLocal":"12:29","dayLengthHours":10.598706947907406,"dayLengthDisplay":"10 Hours 35 Mins 55 Secs","nightLengthDisplay":"13 Hours 24 Mins 05 Secs","moonriseLocal":"17:26","moonsetLocal":"07:07","rahuKala":{"name":"Rāhu Kāla","start":"13:49","end":"15:08","startHours":13.809100060851389,"endHours":15.133938429339814,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:11","end":"08:31","startHours":7.18490821840926,"endHours":8.509746586897686,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:50","end":"11:10","startHours":9.834584955386111,"endHours":11.159423323874536,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:01","startHours":9.657939839587655,"endHours":10.011230071184567,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:38","end":"07:55","startHours":7.626521007905401,"endHours":7.909153193182932,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:08","end":"12:50","startHours":12.130971460766048,"endHours":12.837551923959875,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:46","end":"06:29","startHours":5.7717472920216055,"endHours":6.478327755215433,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:11","startHours":6.301682639416976,"endHours":7.18490821840926,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:15","end":"14:57","startHours":14.25071285034753,"endHours":14.957293313541356,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:35","end":"17:59","startHours":17.583615166316665,"endHours":17.983615166316664,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:47","end":"18:14","startHours":17.783615166316665,"endHours":18.225227955812805,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:32","end":"19:17","startHours":17.533615166316665,"endHours":19.283615166316665,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:08","end":"00:50","startHours":24.130971460766048,"endHours":24.83755192395988,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:11","end":"08:31","startHours":7.18490821840926,"endHours":8.509746586897686,"quality":"auspicious"},{"name":"Roga","start":"08:31","end":"09:50","startHours":8.509746586897686,"endHours":9.834584955386111,"quality":"inauspicious"},{"name":"Udveg","start":"09:50","end":"11:10","startHours":9.834584955386111,"endHours":11.159423323874536,"quality":"inauspicious"},{"name":"Chala","start":"11:10","end":"12:29","startHours":11.159423323874536,"endHours":12.484261692362963,"quality":"neutral"},{"name":"Labha","start":"12:29","end":"13:49","startHours":12.484261692362963,"endHours":13.809100060851389,"quality":"auspicious"},{"name":"Amṛta","start":"13:49","end":"15:08","startHours":13.809100060851389,"endHours":15.133938429339814,"quality":"auspicious"},{"name":"Kāla","start":"15:08","end":"16:28","startHours":15.133938429339814,"endHours":16.45877679782824,"quality":"inauspicious"},{"name":"Śubha","start":"16:28","end":"17:47","startHours":16.45877679782824,"endHours":17.783615166316665,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:47","end":"19:28","startHours":17.783615166316665,"endHours":19.45877679782824,"quality":"auspicious"},{"name":"Kāla","start":"19:28","end":"21:08","startHours":19.45877679782824,"endHours":21.133938429339814,"quality":"inauspicious"},{"name":"Śubha","start":"21:08","end":"22:49","startHours":21.133938429339814,"endHours":22.809100060851385,"quality":"auspicious"},{"name":"Roga","start":"22:49","end":"00:29","startHours":22.809100060851385,"endHours":24.484261692362963,"quality":"inauspicious"},{"name":"Udveg","start":"00:29","end":"02:10","startHours":24.484261692362963,"endHours":26.159423323874535,"quality":"inauspicious"},{"name":"Chala","start":"02:10","end":"03:50","startHours":26.159423323874535,"endHours":27.83458495538611,"quality":"neutral"},{"name":"Labha","start":"03:50","end":"05:31","startHours":27.83458495538611,"endHours":29.509746586897684,"quality":"auspicious"},{"name":"Amṛta","start":"05:31","end":"07:11","startHours":29.509746586897684,"endHours":31.18490821840926,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.18490821840926,"endHours":8.184908218409259,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.184908218409259,"endHours":9.184908218409259,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.184908218409259,"endHours":10.184908218409259,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.184908218409259,"endHours":11.184908218409259,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.184908218409259,"endHours":12.184908218409259,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.184908218409259,"endHours":13.184908218409259,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.184908218409259,"endHours":14.184908218409259,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.184908218409259,"endHours":15.184908218409259,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.184908218409259,"endHours":16.18490821840926,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.18490821840926,"endHours":17.18490821840926,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.18490821840926,"endHours":18.18490821840926,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.18490821840926,"endHours":19.18490821840926,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.18490821840926,"endHours":20.18490821840926,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.18490821840926,"endHours":21.18490821840926,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.18490821840926,"endHours":22.18490821840926,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.18490821840926,"endHours":23.18490821840926,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.18490821840926,"endHours":24.18490821840926,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.18490821840926,"endHours":25.18490821840926,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.18490821840926,"endHours":26.18490821840926,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.18490821840926,"endHours":27.18490821840926,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.18490821840926,"endHours":28.18490821840926,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.18490821840926,"endHours":29.18490821840926,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.18490821840926,"endHours":30.18490821840926,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.18490821840926,"endHours":31.18490821840926,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Gada","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-20.960086984656396,"eotMinutes":-9.692901541777706,"ayanamsa":26.1725}},"calendars":{"vikram_samvat":2223,"vikram_samvatsara":"Pramāthi","saka_samvat":2088,"saka_samvatsara":"Akṣaya","bengali_samvat":1573,"malayalam_era":1342,"nanakshahi_year":697,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","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 Śukla Pūrṇimā · Vikram 2223 Pramāthi · Śaka 2088 Akṣaya"},"festivals":[{"id":"paush-purnima","name":"Pauṣa Pūrṇimā (Śākambharī Devī Jayantī)","name_sanskrit":"पौष पूर्णिमा","tradition":"Pan-Hindu","associated_deity":"Devī Śākambharī","significance":"Manifestation of Devī Śākambharī (vegetation-mother).","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Pauṣa"},"precedence":3},{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti.","vrata":false,"detection":{"sun_rashi_eve_of_ingress":"Makara"},"precedence":4}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Śukla Pūrṇimā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Punarvasu","url":"/day/-1626101-04-03","relevance":0.5},{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Śukla Pūrṇimā","url":"/day/-0562-04-11","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 January 16, 2166 CE · Vṛndāvana · Vidhyamitra","description":"January 16, 2166 CE for Vṛndāvana: Śukla Pūrṇimā, sūryodaya 07:11, sūryāsta 17:47.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2166-01-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2166-01-16","sa":"https://sa.vidhyamitra.com/city/vrindavan/2166-01-16","hi":"https://hi.vidhyamitra.com/city/vrindavan/2166-01-16","x-default":"https://vidhyamitra.com/city/vrindavan/2166-01-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T19:17:19.181Z","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":"2026-06-01T19:17:19.181Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T19:17:19.181Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}