{"id":"vidhyamitra:city-day:badrinath:2113-01-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/2113-01-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2113-01-16","date_display":"January 16, 2113 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":2113,"month":1,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2492832.770833,"kali_year":5214,"ahargana":1904367.2708,"sun":{"sidereal_longitude":269.9693,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":247.1577,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":337.1884,"elapsed_within_tithi_degrees":1.1884},"nakshatra":{"number":19,"name":"Mūla","pada":3,"moon_longitude":247.1577,"elapsed_within_degrees":7.1577},"yoga":{"number":12,"name":"Dhruva","sum_longitude":157.1271},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"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":2113,"month":1,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2492832.770833,"ahargana":1904367.2708,"kali_year":5214,"ayanamsa_lahiri":25.4321,"grahas":{"sun":{"sidereal_longitude":270.352314,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":248.25381400000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false,"latitude":0.8038},"mars":{"sidereal_longitude":336.520214,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":283.446414,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":206.29271400000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":311.129414,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":316.77541399999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":77.4575,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":257.4575,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":2113,"month":1,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2492832.770833,"kali_year":5214,"ahargana":1904367.2708,"sun":{"sidereal_longitude":269.9693,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":247.1577,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":337.1884,"elapsed_within_tithi_degrees":1.1884},"nakshatra":{"number":19,"name":"Mūla","pada":3,"moon_longitude":247.1577,"elapsed_within_degrees":7.1577},"yoga":{"number":12,"name":"Dhruva","sum_longitude":157.1271},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.804,"elongation":22.812},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.804,"opposition_distance":157.188}},"eclipse_window_40days":[{"offset_days":-14,"type":"lunar","occurs":true,"moon_latitude":-0.199,"opposition_distance":0.082},{"offset_days":2,"type":"solar","occurs":true,"moon_latitude":-1.304,"elongation":2.19}]},"city":{"slug":"badrinath","name":"Badarīnāth","lat":30.7433,"lon":79.4938,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha","elevation_m":3133},"tier2":{"city":{"slug":"badrinath","name":"Badarīnāth","lat":30.7433,"lon":79.4938,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha","elevation_m":3133},"sunriseLocal":"07:10","sunsetLocal":"17:33","solarNoonLocal":"12:22","dayLengthHours":10.383485243152718,"dayLengthDisplay":"10 Hours 23 Mins 01 Secs","nightLengthDisplay":"13 Hours 36 Mins 59 Secs","moonriseLocal":"05:50","moonsetLocal":"15:57","rahuKala":{"name":"Rāhu Kāla","start":"08:28","end":"09:46","startHours":8.468154726180693,"endHours":9.766090381574783,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:04","end":"12:22","startHours":11.064026036968873,"endHours":12.36196169236296,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:40","end":"14:57","startHours":13.659897347757052,"endHours":14.95783300315114,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:36","end":"09:56","startHours":9.593032294188903,"endHours":9.93914846896066,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:36","end":"07:53","startHours":7.6028642892513,"endHours":7.879757229068705,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:01","end":"12:42","startHours":12.015845517591204,"endHours":12.708077867134717,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.785754371699573,"endHours":6.477986721243088,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:10","startHours":6.30492863385721,"endHours":7.170219070786603,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:06","end":"14:47","startHours":14.092542566221749,"endHours":14.784774915765263,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:21","end":"17:45","startHours":17.35370431393932,"endHours":17.75370431393932,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:33","end":"17:59","startHours":17.55370431393932,"endHours":17.986349532404017,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:18","end":"19:03","startHours":17.30370431393932,"endHours":19.05370431393932,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:01","end":"00:42","startHours":24.015845517591202,"endHours":24.70807786713472,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:10","end":"08:28","startHours":7.170219070786603,"endHours":8.468154726180693,"quality":"auspicious"},{"name":"Kāla","start":"08:28","end":"09:46","startHours":8.468154726180693,"endHours":9.766090381574783,"quality":"inauspicious"},{"name":"Śubha","start":"09:46","end":"11:04","startHours":9.766090381574783,"endHours":11.064026036968873,"quality":"auspicious"},{"name":"Roga","start":"11:04","end":"12:22","startHours":11.064026036968873,"endHours":12.36196169236296,"quality":"inauspicious"},{"name":"Udveg","start":"12:22","end":"13:40","startHours":12.36196169236296,"endHours":13.659897347757052,"quality":"inauspicious"},{"name":"Chala","start":"13:40","end":"14:57","startHours":13.659897347757052,"endHours":14.95783300315114,"quality":"neutral"},{"name":"Labha","start":"14:57","end":"16:15","startHours":14.95783300315114,"endHours":16.25576865854523,"quality":"auspicious"},{"name":"Amṛta","start":"16:15","end":"17:33","startHours":16.25576865854523,"endHours":17.55370431393932,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:33","end":"19:15","startHours":17.55370431393932,"endHours":19.255768658545232,"quality":"neutral"},{"name":"Labha","start":"19:15","end":"20:57","startHours":19.255768658545232,"endHours":20.95783300315114,"quality":"auspicious"},{"name":"Amṛta","start":"20:57","end":"22:40","startHours":20.95783300315114,"endHours":22.659897347757052,"quality":"auspicious"},{"name":"Kāla","start":"22:40","end":"00:22","startHours":22.659897347757052,"endHours":24.36196169236296,"quality":"inauspicious"},{"name":"Śubha","start":"00:22","end":"02:04","startHours":24.36196169236296,"endHours":26.064026036968873,"quality":"auspicious"},{"name":"Roga","start":"02:04","end":"03:46","startHours":26.064026036968873,"endHours":27.766090381574784,"quality":"inauspicious"},{"name":"Udveg","start":"03:46","end":"05:28","startHours":27.766090381574784,"endHours":29.468154726180693,"quality":"inauspicious"},{"name":"Chala","start":"05:28","end":"07:10","startHours":29.468154726180693,"endHours":31.1702190707866,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:10","end":"08:10","startHours":7.170219070786603,"endHours":8.170219070786603,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:10","end":"09:10","startHours":8.170219070786603,"endHours":9.170219070786603,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:10","end":"10:10","startHours":9.170219070786603,"endHours":10.170219070786603,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:10","end":"11:10","startHours":10.170219070786603,"endHours":11.170219070786603,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:10","end":"12:10","startHours":11.170219070786603,"endHours":12.170219070786603,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:10","end":"13:10","startHours":12.170219070786603,"endHours":13.170219070786603,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:10","end":"14:10","startHours":13.170219070786603,"endHours":14.170219070786603,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:10","end":"15:10","startHours":14.170219070786603,"endHours":15.170219070786603,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:10","end":"16:10","startHours":15.170219070786603,"endHours":16.1702190707866,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:10","end":"17:10","startHours":16.1702190707866,"endHours":17.1702190707866,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:10","end":"18:10","startHours":17.1702190707866,"endHours":18.1702190707866,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:10","end":"19:10","startHours":18.1702190707866,"endHours":19.1702190707866,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:10","end":"20:10","startHours":19.1702190707866,"endHours":20.1702190707866,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:10","end":"21:10","startHours":20.1702190707866,"endHours":21.1702190707866,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:10","end":"22:10","startHours":21.1702190707866,"endHours":22.1702190707866,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:10","end":"23:10","startHours":22.1702190707866,"endHours":23.1702190707866,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:10","end":"00:10","startHours":23.1702190707866,"endHours":24.1702190707866,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:10","end":"01:10","startHours":24.1702190707866,"endHours":25.1702190707866,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:10","end":"02:10","startHours":25.1702190707866,"endHours":26.1702190707866,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:10","end":"03:10","startHours":26.1702190707866,"endHours":27.1702190707866,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:10","end":"04:10","startHours":27.1702190707866,"endHours":28.1702190707866,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:10","end":"05:10","startHours":28.1702190707866,"endHours":29.1702190707866,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:10","end":"06:10","startHours":29.1702190707866,"endHours":30.1702190707866,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:10","end":"07:10","startHours":30.1702190707866,"endHours":31.1702190707866,"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","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Gada","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-20.98558607237715,"eotMinutes":-9.692901541777706,"ayanamsa":25.4321}},"calendars":{"vikram_samvat":2170,"vikram_samvatsara":"Vyaya","saka_samvat":2035,"saka_samvatsara":"Śrīmukha","bengali_samvat":1520,"malayalam_era":1289,"nanakshahi_year":644,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Caturdaśī · Vikram 2170 Vyaya · Śaka 2035 Śrīmukha"},"festivals":[{"id":"makara-sankranti","name":"Makara Saṅkrānti (Uttarāyaṇa)","name_sanskrit":"मकर सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Capricorn; Uttarāyaṇa (north-going) begins. Bhīṣma's chosen mahaprasthāna time.","vrata":true,"detection":{"sun_rashi_ingress":"Makara"},"precedence":1,"sources":["Mahābhārata Bhīṣma-Stuti","Sūrya-Siddhānta"]},{"id":"pongal","name":"Pongal / Thai Pongal","name_sanskrit":"पोङ्गल","tradition":"Regional","associated_deity":"Sūrya Bhagavān","significance":"Tamil 4-day harvest festival; coincides with Makara Saṅkrānti.","vrata":false,"detection":{"sun_rashi_ingress":"Makara"},"precedence":2},{"id":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"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":"badrinath"},"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, 2113 CE · Badarīnāth · Vidhyamitra","description":"January 16, 2113 CE for Badarīnāth: Kṛṣṇa Caturdaśī, sūryodaya 07:10, sūryāsta 17:33.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/2113-01-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/2113-01-16","sa":"https://sa.vidhyamitra.com/city/badrinath/2113-01-16","hi":"https://hi.vidhyamitra.com/city/badrinath/2113-01-16","x-default":"https://vidhyamitra.com/city/badrinath/2113-01-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T13:44:23.402Z","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":"2026-06-02T13:44:23.402Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T13:44:23.402Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}