{"id":"vidhyamitra:city-day:vrindavan:2116-01-09:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2116-01-09","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2116-01-09","date_display":"January 9, 2116 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":2116,"month":1,"day":9,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493920.770833,"kali_year":5217,"ahargana":1905455.2708,"sun":{"sidereal_longitude":261.9788,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":193.5712,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":291.5923,"elapsed_within_tithi_degrees":3.5923},"nakshatra":{"number":15,"name":"Svātī","pada":3,"moon_longitude":193.5712,"elapsed_within_degrees":6.9045},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":95.55},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"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":2116,"month":1,"day":9,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2493920.770833,"ahargana":1905455.2708,"kali_year":5217,"ayanamsa_lahiri":25.4737,"grahas":{"sun":{"sidereal_longitude":262.436144,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":196.72914400000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false,"latitude":0.4885},"mars":{"sidereal_longitude":226.570744,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":238.406744,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":281.0533439999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"venus":{"sidereal_longitude":302.404044,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":351.840844,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":19.8101,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":199.8101,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"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":2116,"month":1,"day":9,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493920.770833,"kali_year":5217,"ahargana":1905455.2708,"sun":{"sidereal_longitude":261.9788,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":193.5712,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":291.5923,"elapsed_within_tithi_degrees":3.5923},"nakshatra":{"number":15,"name":"Svātī","pada":3,"moon_longitude":193.5712,"elapsed_within_degrees":6.9045},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":95.55},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.489,"elongation":68.408},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.489,"opposition_distance":111.592}},"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":"07:12","sunsetLocal":"17:41","solarNoonLocal":"12:26","dayLengthHours":10.49511475706203,"dayLengthDisplay":"10 Hours 29 Mins 42 Secs","nightLengthDisplay":"13 Hours 30 Mins 18 Secs","moonriseLocal":"02:34","moonsetLocal":"13:33","rahuKala":{"name":"Rāhu Kāla","start":"13:45","end":"15:04","startHours":13.753007516605727,"endHours":15.064896861238482,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:12","end":"08:30","startHours":7.19356079344196,"endHours":8.505450138074714,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:49","end":"11:08","startHours":9.817339482707467,"endHours":11.12922882734022,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:00","startHours":9.642420903423101,"endHours":9.992258061991834,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:38","end":"07:55","startHours":7.630857241652878,"endHours":7.910726968507865,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:05","end":"12:47","startHours":12.091281013404242,"endHours":12.79095533054171,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:48","end":"06:30","startHours":5.794212159167023,"endHours":6.493886476304491,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:19","end":"07:12","startHours":6.318967897020124,"endHours":7.19356079344196,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:11","end":"14:53","startHours":14.190303964816646,"endHours":14.889978281954114,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:29","end":"17:53","startHours":17.48867555050399,"endHours":17.88867555050399,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:41","end":"18:08","startHours":17.68867555050399,"endHours":18.12597199871491,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:26","end":"19:11","startHours":17.43867555050399,"endHours":19.18867555050399,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:05","end":"00:47","startHours":24.091281013404238,"endHours":24.79095533054171,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:12","end":"08:30","startHours":7.19356079344196,"endHours":8.505450138074714,"quality":"auspicious"},{"name":"Roga","start":"08:30","end":"09:49","startHours":8.505450138074714,"endHours":9.817339482707467,"quality":"inauspicious"},{"name":"Udveg","start":"09:49","end":"11:08","startHours":9.817339482707467,"endHours":11.12922882734022,"quality":"inauspicious"},{"name":"Chala","start":"11:08","end":"12:26","startHours":11.12922882734022,"endHours":12.441118171972974,"quality":"neutral"},{"name":"Labha","start":"12:26","end":"13:45","startHours":12.441118171972974,"endHours":13.753007516605727,"quality":"auspicious"},{"name":"Amṛta","start":"13:45","end":"15:04","startHours":13.753007516605727,"endHours":15.064896861238482,"quality":"auspicious"},{"name":"Kāla","start":"15:04","end":"16:23","startHours":15.064896861238482,"endHours":16.376786205871237,"quality":"inauspicious"},{"name":"Śubha","start":"16:23","end":"17:41","startHours":16.376786205871237,"endHours":17.68867555050399,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:41","end":"19:23","startHours":17.68867555050399,"endHours":19.376786205871237,"quality":"auspicious"},{"name":"Kāla","start":"19:23","end":"21:04","startHours":19.376786205871237,"endHours":21.064896861238484,"quality":"inauspicious"},{"name":"Śubha","start":"21:04","end":"22:45","startHours":21.064896861238484,"endHours":22.753007516605727,"quality":"auspicious"},{"name":"Roga","start":"22:45","end":"00:26","startHours":22.753007516605727,"endHours":24.441118171972974,"quality":"inauspicious"},{"name":"Udveg","start":"00:26","end":"02:08","startHours":24.441118171972974,"endHours":26.12922882734022,"quality":"inauspicious"},{"name":"Chala","start":"02:08","end":"03:49","startHours":26.12922882734022,"endHours":27.817339482707467,"quality":"neutral"},{"name":"Labha","start":"03:49","end":"05:30","startHours":27.817339482707467,"endHours":29.505450138074714,"quality":"auspicious"},{"name":"Amṛta","start":"05:30","end":"07:12","startHours":29.505450138074714,"endHours":31.19356079344196,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:12","end":"08:12","startHours":7.19356079344196,"endHours":8.19356079344196,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:12","end":"09:12","startHours":8.19356079344196,"endHours":9.19356079344196,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:12","end":"10:12","startHours":9.19356079344196,"endHours":10.19356079344196,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:12","end":"11:12","startHours":10.19356079344196,"endHours":11.19356079344196,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:12","end":"12:12","startHours":11.19356079344196,"endHours":12.19356079344196,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:12","end":"13:12","startHours":12.19356079344196,"endHours":13.19356079344196,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:12","end":"14:12","startHours":13.19356079344196,"endHours":14.19356079344196,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:12","end":"15:12","startHours":14.19356079344196,"endHours":15.19356079344196,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:12","end":"16:12","startHours":15.19356079344196,"endHours":16.19356079344196,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:12","end":"17:12","startHours":16.19356079344196,"endHours":17.19356079344196,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:12","end":"18:12","startHours":17.19356079344196,"endHours":18.19356079344196,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:12","end":"19:12","startHours":18.19356079344196,"endHours":19.19356079344196,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:12","end":"20:12","startHours":19.19356079344196,"endHours":20.19356079344196,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:12","end":"21:12","startHours":20.19356079344196,"endHours":21.19356079344196,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:12","end":"22:12","startHours":21.19356079344196,"endHours":22.19356079344196,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:12","end":"23:12","startHours":22.19356079344196,"endHours":23.19356079344196,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:12","end":"00:12","startHours":23.19356079344196,"endHours":24.19356079344196,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:12","end":"01:12","startHours":24.19356079344196,"endHours":25.19356079344196,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:12","end":"02:12","startHours":25.19356079344196,"endHours":26.19356079344196,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:12","end":"03:12","startHours":26.19356079344196,"endHours":27.19356079344196,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:12","end":"04:12","startHours":27.19356079344196,"endHours":28.19356079344196,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:12","end":"05:12","startHours":28.19356079344196,"endHours":29.19356079344196,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:12","end":"06:12","startHours":29.19356079344196,"endHours":30.19356079344196,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:12","end":"07:12","startHours":30.19356079344196,"endHours":31.19356079344196,"planetary_lord":"Moon"}],"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":"South (Dakṣiṇa)","chandraVasa":"North","rahuVasa":"North-West","anandadiYoga":{"name":"Dhūmra","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":-22.238260681908013,"eotMinutes":-7.10429031837854,"ayanamsa":25.4737}},"calendars":{"vikram_samvat":2173,"vikram_samvatsara":"Virodhi","saka_samvat":2038,"saka_samvatsara":"Dhātṛ","bengali_samvat":1523,"malayalam_era":1292,"nanakshahi_year":647,"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 Daśamī · Vikram 2173 Virodhi · Śaka 2038 Dhātṛ"},"festivals":[],"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":[]},"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 9, 2116 CE · Vṛndāvana · Vidhyamitra","description":"January 9, 2116 CE for Vṛndāvana: Kṛṣṇa Daśamī, sūryodaya 07:12, sūryāsta 17:41.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2116-01-09","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2116-01-09","sa":"https://sa.vidhyamitra.com/city/vrindavan/2116-01-09","hi":"https://hi.vidhyamitra.com/city/vrindavan/2116-01-09","x-default":"https://vidhyamitra.com/city/vrindavan/2116-01-09"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T03:10:15.057Z","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":"2026-06-01T03:10:15.057Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T03:10:15.057Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}