{"id":"vidhyamitra:city-day:mathura:1941-01-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1941-01-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1941-01-16","date_display":"January 16, 1941 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":1941,"month":1,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2430010.770833,"kali_year":5042,"ahargana":1841545.2708,"sun":{"sidereal_longitude":272.5425,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":124.0639,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":211.5214,"elapsed_within_tithi_degrees":7.5214},"nakshatra":{"number":10,"name":"Maghā","pada":2,"moon_longitude":124.0639,"elapsed_within_degrees":4.0639},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":36.6065},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"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":1941,"month":1,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2430010.770833,"ahargana":1841545.2708,"kali_year":5042,"ayanamsa_lahiri":23.0294,"grahas":{"sun":{"sidereal_longitude":272.50307599999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":125.31357600000001,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false,"latitude":-3.0097},"mars":{"sidereal_longitude":225.360776,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":276.3331760000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":13.755176000000006,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":250.49087600000007,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":15.28297600000002,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":166.0694,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":346.0694,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","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":1941,"month":1,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2430010.770833,"kali_year":5042,"ahargana":1841545.2708,"sun":{"sidereal_longitude":272.5425,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":124.0639,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":211.5214,"elapsed_within_tithi_degrees":7.5214},"nakshatra":{"number":10,"name":"Maghā","pada":2,"moon_longitude":124.0639,"elapsed_within_degrees":4.0639},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":36.6065},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.01,"elongation":148.479},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.01,"opposition_distance":31.521}},"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":"07:11","sunsetLocal":"17:47","solarNoonLocal":"12:29","dayLengthHours":10.597650798571243,"dayLengthDisplay":"10 Hours 35 Mins 52 Secs","nightLengthDisplay":"13 Hours 24 Mins 08 Secs","moonriseLocal":"20:12","moonsetLocal":"09:08","rahuKala":{"name":"Rāhu Kāla","start":"13:48","end":"15:08","startHours":13.808008042184367,"endHours":15.132714392005772,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:11","end":"08:31","startHours":7.18447629307734,"endHours":8.509182642898745,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:50","end":"11:10","startHours":9.833888992720151,"endHours":11.158595342541556,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:01","startHours":9.65726147941063,"endHours":10.01051650602967,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:38","end":"07:55","startHours":7.626045076351142,"endHours":7.908649097646375,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:08","end":"12:50","startHours":12.130046665743919,"endHours":12.836556718982003,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:46","end":"06:29","startHours":5.771456186601174,"endHours":6.477966239839257,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:11","startHours":6.301338726529737,"endHours":7.18447629307734,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:15","end":"14:57","startHours":14.249576825458169,"endHours":14.95608687869625,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:35","end":"17:59","startHours":17.582127091648584,"endHours":17.982127091648582,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:47","end":"18:13","startHours":17.782127091648583,"endHours":18.223695874922385,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:32","end":"19:17","startHours":17.532127091648583,"endHours":19.282127091648583,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:08","end":"00:50","startHours":24.13004666574392,"endHours":24.836556718982003,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:11","end":"08:31","startHours":7.18447629307734,"endHours":8.509182642898745,"quality":"auspicious"},{"name":"Roga","start":"08:31","end":"09:50","startHours":8.509182642898745,"endHours":9.833888992720151,"quality":"inauspicious"},{"name":"Udveg","start":"09:50","end":"11:10","startHours":9.833888992720151,"endHours":11.158595342541556,"quality":"inauspicious"},{"name":"Chala","start":"11:10","end":"12:29","startHours":11.158595342541556,"endHours":12.48330169236296,"quality":"neutral"},{"name":"Labha","start":"12:29","end":"13:48","startHours":12.48330169236296,"endHours":13.808008042184367,"quality":"auspicious"},{"name":"Amṛta","start":"13:48","end":"15:08","startHours":13.808008042184367,"endHours":15.132714392005772,"quality":"auspicious"},{"name":"Kāla","start":"15:08","end":"16:27","startHours":15.132714392005772,"endHours":16.45742074182718,"quality":"inauspicious"},{"name":"Śubha","start":"16:27","end":"17:47","startHours":16.45742074182718,"endHours":17.782127091648583,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:47","end":"19:27","startHours":17.782127091648583,"endHours":19.45742074182718,"quality":"auspicious"},{"name":"Kāla","start":"19:27","end":"21:08","startHours":19.45742074182718,"endHours":21.132714392005774,"quality":"inauspicious"},{"name":"Śubha","start":"21:08","end":"22:48","startHours":21.132714392005774,"endHours":22.80800804218437,"quality":"auspicious"},{"name":"Roga","start":"22:48","end":"00:29","startHours":22.80800804218437,"endHours":24.48330169236296,"quality":"inauspicious"},{"name":"Udveg","start":"00:29","end":"02:10","startHours":24.48330169236296,"endHours":26.158595342541556,"quality":"inauspicious"},{"name":"Chala","start":"02:10","end":"03:50","startHours":26.158595342541556,"endHours":27.83388899272015,"quality":"neutral"},{"name":"Labha","start":"03:50","end":"05:31","startHours":27.83388899272015,"endHours":29.509182642898743,"quality":"auspicious"},{"name":"Amṛta","start":"05:31","end":"07:11","startHours":29.509182642898743,"endHours":31.18447629307734,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.18447629307734,"endHours":8.18447629307734,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.18447629307734,"endHours":9.18447629307734,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.18447629307734,"endHours":10.18447629307734,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.18447629307734,"endHours":11.18447629307734,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.18447629307734,"endHours":12.18447629307734,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.18447629307734,"endHours":13.18447629307734,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.18447629307734,"endHours":14.18447629307734,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.18447629307734,"endHours":15.18447629307734,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.18447629307734,"endHours":16.18447629307734,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.18447629307734,"endHours":17.18447629307734,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.18447629307734,"endHours":18.18447629307734,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.18447629307734,"endHours":19.18447629307734,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.18447629307734,"endHours":20.18447629307734,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.18447629307734,"endHours":21.18447629307734,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.18447629307734,"endHours":22.18447629307734,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.18447629307734,"endHours":23.18447629307734,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.18447629307734,"endHours":24.18447629307734,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.18447629307734,"endHours":25.18447629307734,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.18447629307734,"endHours":26.18447629307734,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.18447629307734,"endHours":27.18447629307734,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.18447629307734,"endHours":28.18447629307734,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.18447629307734,"endHours":29.18447629307734,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.18447629307734,"endHours":30.18447629307734,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.18447629307734,"endHours":31.18447629307734,"planetary_lord":"Moon"}],"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","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"West","rahuVasa":"North-West","anandadiYoga":{"name":"Cara","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-21.03206452718611,"eotMinutes":-9.692901541777706,"ayanamsa":23.0294}},"calendars":{"vikram_samvat":1998,"vikram_samvatsara":"Jaya","saka_samvat":1863,"saka_samvatsara":"Vṛṣa","bengali_samvat":1348,"malayalam_era":1117,"nanakshahi_year":472,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Tṛtīyā · Vikram 1998 Jaya · Śaka 1863 Vṛṣa"},"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":"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":"Makara"},"precedence":2}],"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":"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 16, 1941 CE · Mathurā · Vidhyamitra","description":"January 16, 1941 CE for Mathurā: Kṛṣṇa Tṛtīyā, sūryodaya 07:11, sūryāsta 17:47.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1941-01-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1941-01-16","sa":"https://sa.vidhyamitra.com/city/mathura/1941-01-16","hi":"https://hi.vidhyamitra.com/city/mathura/1941-01-16","x-default":"https://vidhyamitra.com/city/mathura/1941-01-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T15:48:03.292Z","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":"2026-05-14T15:48:03.292Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T15:48:03.292Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}