{"id":"vidhyamitra:city-day:vrindavan:2166-01-11:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2166-01-11","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2166-01-11","date_display":"January 11, 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":11,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2512185.770833,"kali_year":5267,"ahargana":1923720.2708,"sun":{"sidereal_longitude":264.0985,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":18.7955,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":114.697,"elapsed_within_tithi_degrees":6.697},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2,"moon_longitude":18.7955,"elapsed_within_degrees":5.4622},"yoga":{"number":22,"name":"Sādhya","sum_longitude":282.894},"karana":{"half_tithi_index":19,"name":"Gara"},"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":2166,"month":1,"day":11,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2512185.770833,"ahargana":1923720.2708,"kali_year":5267,"ayanamsa_lahiri":26.1723,"grahas":{"sun":{"sidereal_longitude":264.655487,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":19.864687000000004,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false,"latitude":-4.134},"mars":{"sidereal_longitude":65.951187,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":278.063887,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":357.731987,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":218.51528699999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":254.025887,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":132.0425,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":312.0425,"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":11,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2512185.770833,"kali_year":5267,"ahargana":1923720.2708,"sun":{"sidereal_longitude":264.0985,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":18.7955,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":114.697,"elapsed_within_tithi_degrees":6.697},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2,"moon_longitude":18.7955,"elapsed_within_degrees":5.4622},"yoga":{"number":22,"name":"Sādhya","sum_longitude":282.894},"karana":{"half_tithi_index":19,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.134,"elongation":114.697},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.134,"opposition_distance":65.303}},"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":"17:43","solarNoonLocal":"12:27","dayLengthHours":10.528987154280301,"dayLengthDisplay":"10 Hours 31 Mins 44 Secs","nightLengthDisplay":"13 Hours 28 Mins 16 Secs","moonriseLocal":"13:29","moonsetLocal":"02:47","rahuKala":{"name":"Rāhu Kāla","start":"09:49","end":"11:08","startHours":9.821908248679367,"endHours":11.138031642964403,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:46","end":"15:05","startHours":13.770278431534479,"endHours":15.086401825819518,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:11","end":"08:30","startHours":7.189661460109291,"endHours":8.505784854394328,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:00","startHours":9.646425129441361,"endHours":9.997391367917372,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:38","end":"07:55","startHours":7.6283692582043034,"endHours":7.909142248985112,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:06","end":"12:48","startHours":12.103188798773433,"endHours":12.805121275725453,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.785796506205251,"endHours":6.487728983157271,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:19","end":"07:11","startHours":6.312245863919266,"endHours":7.189661460109291,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:13","end":"14:55","startHours":14.208986229629492,"endHours":14.910918706581512,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:31","end":"17:55","startHours":17.518648614389594,"endHours":17.918648614389593,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:43","end":"18:09","startHours":17.718648614389593,"endHours":18.157356412484607,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:28","end":"19:13","startHours":17.468648614389593,"endHours":19.218648614389593,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:06","end":"00:48","startHours":24.103188798773434,"endHours":24.80512127572545,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:11","end":"08:30","startHours":7.189661460109291,"endHours":8.505784854394328,"quality":"inauspicious"},{"name":"Śubha","start":"08:30","end":"09:49","startHours":8.505784854394328,"endHours":9.821908248679367,"quality":"auspicious"},{"name":"Roga","start":"09:49","end":"11:08","startHours":9.821908248679367,"endHours":11.138031642964403,"quality":"inauspicious"},{"name":"Udveg","start":"11:08","end":"12:27","startHours":11.138031642964403,"endHours":12.454155037249443,"quality":"inauspicious"},{"name":"Chala","start":"12:27","end":"13:46","startHours":12.454155037249443,"endHours":13.770278431534479,"quality":"neutral"},{"name":"Labha","start":"13:46","end":"15:05","startHours":13.770278431534479,"endHours":15.086401825819518,"quality":"auspicious"},{"name":"Amṛta","start":"15:05","end":"16:24","startHours":15.086401825819518,"endHours":16.402525220104554,"quality":"auspicious"},{"name":"Kāla","start":"16:24","end":"17:43","startHours":16.402525220104554,"endHours":17.718648614389593,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:43","end":"19:24","startHours":17.718648614389593,"endHours":19.402525220104557,"quality":"auspicious"},{"name":"Amṛta","start":"19:24","end":"21:05","startHours":19.402525220104557,"endHours":21.086401825819518,"quality":"auspicious"},{"name":"Kāla","start":"21:05","end":"22:46","startHours":21.086401825819518,"endHours":22.77027843153448,"quality":"inauspicious"},{"name":"Śubha","start":"22:46","end":"00:27","startHours":22.77027843153448,"endHours":24.454155037249443,"quality":"auspicious"},{"name":"Roga","start":"00:27","end":"02:08","startHours":24.454155037249443,"endHours":26.138031642964407,"quality":"inauspicious"},{"name":"Udveg","start":"02:08","end":"03:49","startHours":26.138031642964407,"endHours":27.821908248679367,"quality":"inauspicious"},{"name":"Chala","start":"03:49","end":"05:30","startHours":27.821908248679367,"endHours":29.505784854394328,"quality":"neutral"},{"name":"Labha","start":"05:30","end":"07:11","startHours":29.505784854394328,"endHours":31.189661460109292,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.189661460109291,"endHours":8.189661460109292,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.189661460109292,"endHours":9.189661460109292,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.189661460109292,"endHours":10.189661460109292,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.189661460109292,"endHours":11.189661460109292,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.189661460109292,"endHours":12.189661460109292,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.189661460109292,"endHours":13.189661460109292,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.189661460109292,"endHours":14.189661460109292,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.189661460109292,"endHours":15.189661460109292,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.189661460109292,"endHours":16.189661460109292,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.189661460109292,"endHours":17.189661460109292,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.189661460109292,"endHours":18.189661460109292,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.189661460109292,"endHours":19.189661460109292,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.189661460109292,"endHours":20.189661460109292,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.189661460109292,"endHours":21.189661460109292,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.189661460109292,"endHours":22.189661460109292,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.189661460109292,"endHours":23.189661460109292,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.189661460109292,"endHours":24.189661460109292,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.189661460109292,"endHours":25.189661460109292,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.189661460109292,"endHours":26.189661460109292,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.189661460109292,"endHours":27.189661460109292,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.189661460109292,"endHours":28.189661460109292,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.189661460109292,"endHours":29.189661460109292,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.189661460109292,"endHours":30.189661460109292,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.189661460109292,"endHours":31.189661460109292,"planetary_lord":"Mercury"}],"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":"East (Pūrva)","chandraVasa":"East","rahuVasa":"East","anandadiYoga":{"name":"Cara","quality":"Auspicious"},"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":-21.82308967472702,"eotMinutes":-7.886502234966622,"ayanamsa":26.1723}},"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 Daśamī · Vikram 2223 Pramāthi · Śaka 2088 Akṣaya"},"festivals":[],"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":[]},"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 11, 2166 CE · Vṛndāvana · Vidhyamitra","description":"January 11, 2166 CE for Vṛndāvana: Śukla Daśamī, sūryodaya 07:11, sūryāsta 17:43.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2166-01-11","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2166-01-11","sa":"https://sa.vidhyamitra.com/city/vrindavan/2166-01-11","hi":"https://hi.vidhyamitra.com/city/vrindavan/2166-01-11","x-default":"https://vidhyamitra.com/city/vrindavan/2166-01-11"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T20:06:16.277Z","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":"2026-06-02T20:06:16.277Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T20:06:16.277Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}