{"id":"vidhyamitra:city-day:mathura:1920-01-14:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1920-01-14","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1920-01-14","date_display":"January 14, 1920 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":1920,"month":1,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2422337.770833,"kali_year":5021,"ahargana":1833872.2708,"sun":{"sidereal_longitude":269.9077,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":189.0912,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":279.1835,"elapsed_within_tithi_degrees":3.1835},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":189.0912,"elapsed_within_degrees":2.4245},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":98.9989},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":1920,"month":1,"day":14,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2422337.770833,"ahargana":1833872.2708,"kali_year":5021,"ayanamsa_lahiri":22.7359,"grahas":{"sun":{"sidereal_longitude":269.840241,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":191.314841,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false,"latitude":-1.795},"mars":{"sidereal_longitude":180.97624099999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":257.028641,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":113.32704100000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":229.77784099999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":138.95924100000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":212.6219,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":32.6219,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","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":1920,"month":1,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2422337.770833,"kali_year":5021,"ahargana":1833872.2708,"sun":{"sidereal_longitude":269.9077,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":189.0912,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":279.1835,"elapsed_within_tithi_degrees":3.1835},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":189.0912,"elapsed_within_degrees":2.4245},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":98.9989},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.795,"elongation":80.817},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.795,"opposition_distance":99.183}},"eclipse_window_40days":[]},"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"07:12","sunsetLocal":"17:45","solarNoonLocal":"12:28","dayLengthHours":10.556299737791933,"dayLengthDisplay":"10 Hours 33 Mins 23 Secs","nightLengthDisplay":"13 Hours 26 Mins 37 Secs","moonriseLocal":"01:39","moonsetLocal":"12:50","rahuKala":{"name":"Rāhu Kāla","start":"12:28","end":"13:47","startHours":12.471712083322473,"endHours":13.791249550546464,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:31","end":"09:50","startHours":8.513099681650496,"endHours":9.832637148874488,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:09","end":"12:28","startHours":11.152174616098481,"endHours":12.471712083322473,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:01","startHours":9.65669881991129,"endHours":10.008575477837688,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:38","end":"07:55","startHours":7.633408036834502,"endHours":7.91490936317562,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:49","startHours":12.119835425396074,"endHours":12.823588741248871,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.786055582720914,"endHours":6.48980889857371,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:19","end":"07:12","startHours":6.31387056961051,"endHours":7.193562214426505,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:14","end":"14:56","startHours":14.23109537295446,"endHours":14.934848688807255,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:33","end":"17:57","startHours":17.54986195221844,"endHours":17.949861952218438,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:45","end":"18:11","startHours":17.74986195221844,"endHours":18.189707774626434,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:30","end":"19:15","startHours":17.49986195221844,"endHours":19.24986195221844,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:49","startHours":24.119835425396076,"endHours":24.82358874124887,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:12","end":"08:31","startHours":7.193562214426505,"endHours":8.513099681650496,"quality":"auspicious"},{"name":"Amṛta","start":"08:31","end":"09:50","startHours":8.513099681650496,"endHours":9.832637148874488,"quality":"auspicious"},{"name":"Kāla","start":"09:50","end":"11:09","startHours":9.832637148874488,"endHours":11.152174616098481,"quality":"inauspicious"},{"name":"Śubha","start":"11:09","end":"12:28","startHours":11.152174616098481,"endHours":12.471712083322473,"quality":"auspicious"},{"name":"Roga","start":"12:28","end":"13:47","startHours":12.471712083322473,"endHours":13.791249550546464,"quality":"inauspicious"},{"name":"Udveg","start":"13:47","end":"15:07","startHours":13.791249550546464,"endHours":15.110787017770456,"quality":"inauspicious"},{"name":"Chala","start":"15:07","end":"16:26","startHours":15.110787017770456,"endHours":16.430324484994447,"quality":"neutral"},{"name":"Labha","start":"16:26","end":"17:45","startHours":16.430324484994447,"endHours":17.74986195221844,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:45","end":"19:26","startHours":17.74986195221844,"endHours":19.430324484994447,"quality":"inauspicious"},{"name":"Chala","start":"19:26","end":"21:07","startHours":19.430324484994447,"endHours":21.110787017770456,"quality":"neutral"},{"name":"Labha","start":"21:07","end":"22:47","startHours":21.110787017770456,"endHours":22.791249550546464,"quality":"auspicious"},{"name":"Amṛta","start":"22:47","end":"00:28","startHours":22.791249550546464,"endHours":24.471712083322473,"quality":"auspicious"},{"name":"Kāla","start":"00:28","end":"02:09","startHours":24.471712083322473,"endHours":26.152174616098478,"quality":"inauspicious"},{"name":"Śubha","start":"02:09","end":"03:50","startHours":26.152174616098478,"endHours":27.83263714887449,"quality":"auspicious"},{"name":"Roga","start":"03:50","end":"05:31","startHours":27.83263714887449,"endHours":29.513099681650495,"quality":"inauspicious"},{"name":"Udveg","start":"05:31","end":"07:12","startHours":29.513099681650495,"endHours":31.193562214426507,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:12","end":"08:12","startHours":7.193562214426505,"endHours":8.193562214426505,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:12","end":"09:12","startHours":8.193562214426505,"endHours":9.193562214426505,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:12","end":"10:12","startHours":9.193562214426505,"endHours":10.193562214426505,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:12","end":"11:12","startHours":10.193562214426505,"endHours":11.193562214426505,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:12","end":"12:12","startHours":11.193562214426505,"endHours":12.193562214426505,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:12","end":"13:12","startHours":12.193562214426505,"endHours":13.193562214426505,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:12","end":"14:12","startHours":13.193562214426505,"endHours":14.193562214426505,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:12","end":"15:12","startHours":14.193562214426505,"endHours":15.193562214426505,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:12","end":"16:12","startHours":15.193562214426505,"endHours":16.193562214426507,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:12","end":"17:12","startHours":16.193562214426507,"endHours":17.193562214426507,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:12","end":"18:12","startHours":17.193562214426507,"endHours":18.193562214426507,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:12","end":"19:12","startHours":18.193562214426507,"endHours":19.193562214426507,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:12","end":"20:12","startHours":19.193562214426507,"endHours":20.193562214426507,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:12","end":"21:12","startHours":20.193562214426507,"endHours":21.193562214426507,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:12","end":"22:12","startHours":21.193562214426507,"endHours":22.193562214426507,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:12","end":"23:12","startHours":22.193562214426507,"endHours":23.193562214426507,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:12","end":"00:12","startHours":23.193562214426507,"endHours":24.193562214426507,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:12","end":"01:12","startHours":24.193562214426507,"endHours":25.193562214426507,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:12","end":"02:12","startHours":25.193562214426507,"endHours":26.193562214426507,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:12","end":"03:12","startHours":26.193562214426507,"endHours":27.193562214426507,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:12","end":"04:12","startHours":27.193562214426507,"endHours":28.193562214426507,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:12","end":"05:12","startHours":28.193562214426507,"endHours":29.193562214426507,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:12","end":"06:12","startHours":29.193562214426507,"endHours":30.193562214426507,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:12","end":"07:12","startHours":30.193562214426507,"endHours":31.193562214426507,"planetary_lord":"Sun"}],"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":"North (Uttara)","chandraVasa":"North","rahuVasa":"South-West","anandadiYoga":{"name":"Sushira","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-21.546381460264133,"eotMinutes":-8.99752499934842,"ayanamsa":22.7359}},"calendars":{"vikram_samvat":1977,"vikram_samvatsara":"Śrīmukha","saka_samvat":1842,"saka_samvatsara":"Raudra","bengali_samvat":1327,"malayalam_era":1096,"nanakshahi_year":451,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Navamī · Vikram 1977 Śrīmukha · Śaka 1842 Raudra"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":5}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"mathura"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 14, 1920 CE · Mathurā · Vidhyamitra","description":"January 14, 1920 CE for Mathurā: Kṛṣṇa Navamī, sūryodaya 07:12, sūryāsta 17:45.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1920-01-14","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1920-01-14","sa":"https://sa.vidhyamitra.com/city/mathura/1920-01-14","hi":"https://hi.vidhyamitra.com/city/mathura/1920-01-14","x-default":"https://vidhyamitra.com/city/mathura/1920-01-14"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T15:47:08.895Z","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":"2026-05-14T15:47:08.895Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T15:47:08.895Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}