{"id":"vidhyamitra:city-day:mathura:1941-01-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1941-01-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1941-01-04","date_display":"January 4, 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":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2429998.770833,"kali_year":5042,"ahargana":1841533.2708,"sun":{"sidereal_longitude":260.2131,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":334.1325,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":73.9194,"elapsed_within_tithi_degrees":1.9194},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1,"moon_longitude":334.1325,"elapsed_within_degrees":0.7991},"yoga":{"number":18,"name":"Varīyān","sum_longitude":234.3455},"karana":{"half_tithi_index":12,"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":1941,"month":1,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2429998.770833,"ahargana":1841533.2708,"kali_year":5042,"ayanamsa_lahiri":23.0289,"grahas":{"sun":{"sidereal_longitude":260.27613500000007,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":333.72143499999993,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false,"latitude":0.9786},"mars":{"sidereal_longitude":217.272735,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":256.72043499999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":13.339134999999999,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":true},"venus":{"sidereal_longitude":235.51923499999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":15.275935000000004,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":166.7052,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":346.7052,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"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":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2429998.770833,"kali_year":5042,"ahargana":1841533.2708,"sun":{"sidereal_longitude":260.2131,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":334.1325,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":73.9194,"elapsed_within_tithi_degrees":1.9194},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1,"moon_longitude":334.1325,"elapsed_within_degrees":0.7991},"yoga":{"number":18,"name":"Varīyān","sum_longitude":234.3455},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.979,"elongation":73.919},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.979,"opposition_distance":106.081}},"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":"17:38","solarNoonLocal":"12:24","dayLengthHours":10.456463983288963,"dayLengthDisplay":"10 Hours 27 Mins 23 Secs","nightLengthDisplay":"13 Hours 32 Mins 37 Secs","moonriseLocal":"11:18","moonsetLocal":"23:18","rahuKala":{"name":"Rāhu Kāla","start":"09:47","end":"11:06","startHours":9.791369118600196,"endHours":11.098427116511317,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:43","end":"15:01","startHours":13.712543112333556,"endHours":15.019601110244677,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:11","end":"08:29","startHours":7.177253122777955,"endHours":8.484311120689075,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:37","end":"09:58","startHours":9.617094718878713,"endHours":9.965643518321679,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:54","startHours":7.612939122081662,"endHours":7.891778161636035,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:45","startHours":12.05693631497947,"endHours":12.754033913865403,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.783057925006093,"endHours":6.480155523892025,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:11","startHours":6.305881124170542,"endHours":7.177253122777955,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:09","end":"14:51","startHours":14.148229111637264,"endHours":14.845326710523194,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:26","end":"17:50","startHours":17.43371710606692,"endHours":17.833717106066917,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:38","end":"18:04","startHours":17.633717106066918,"endHours":18.069403105370625,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:23","end":"19:08","startHours":17.383717106066918,"endHours":19.133717106066918,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:45","startHours":24.05693631497947,"endHours":24.754033913865403,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:11","end":"08:29","startHours":7.177253122777955,"endHours":8.484311120689075,"quality":"inauspicious"},{"name":"Śubha","start":"08:29","end":"09:47","startHours":8.484311120689075,"endHours":9.791369118600196,"quality":"auspicious"},{"name":"Roga","start":"09:47","end":"11:06","startHours":9.791369118600196,"endHours":11.098427116511317,"quality":"inauspicious"},{"name":"Udveg","start":"11:06","end":"12:24","startHours":11.098427116511317,"endHours":12.405485114422437,"quality":"inauspicious"},{"name":"Chala","start":"12:24","end":"13:43","startHours":12.405485114422437,"endHours":13.712543112333556,"quality":"neutral"},{"name":"Labha","start":"13:43","end":"15:01","startHours":13.712543112333556,"endHours":15.019601110244677,"quality":"auspicious"},{"name":"Amṛta","start":"15:01","end":"16:20","startHours":15.019601110244677,"endHours":16.3266591081558,"quality":"auspicious"},{"name":"Kāla","start":"16:20","end":"17:38","startHours":16.3266591081558,"endHours":17.633717106066918,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:38","end":"19:20","startHours":17.633717106066918,"endHours":19.3266591081558,"quality":"auspicious"},{"name":"Amṛta","start":"19:20","end":"21:01","startHours":19.3266591081558,"endHours":21.01960111024468,"quality":"auspicious"},{"name":"Kāla","start":"21:01","end":"22:43","startHours":21.01960111024468,"endHours":22.712543112333556,"quality":"inauspicious"},{"name":"Śubha","start":"22:43","end":"00:24","startHours":22.712543112333556,"endHours":24.405485114422437,"quality":"auspicious"},{"name":"Roga","start":"00:24","end":"02:06","startHours":24.405485114422437,"endHours":26.098427116511317,"quality":"inauspicious"},{"name":"Udveg","start":"02:06","end":"03:47","startHours":26.098427116511317,"endHours":27.791369118600194,"quality":"inauspicious"},{"name":"Chala","start":"03:47","end":"05:29","startHours":27.791369118600194,"endHours":29.484311120689075,"quality":"neutral"},{"name":"Labha","start":"05:29","end":"07:11","startHours":29.484311120689075,"endHours":31.177253122777955,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.177253122777955,"endHours":8.177253122777955,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.177253122777955,"endHours":9.177253122777955,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.177253122777955,"endHours":10.177253122777955,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.177253122777955,"endHours":11.177253122777955,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.177253122777955,"endHours":12.177253122777955,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.177253122777955,"endHours":13.177253122777955,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.177253122777955,"endHours":14.177253122777955,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.177253122777955,"endHours":15.177253122777955,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.177253122777955,"endHours":16.177253122777955,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.177253122777955,"endHours":17.177253122777955,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.177253122777955,"endHours":18.177253122777955,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.177253122777955,"endHours":19.177253122777955,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.177253122777955,"endHours":20.177253122777955,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.177253122777955,"endHours":21.177253122777955,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.177253122777955,"endHours":22.177253122777955,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.177253122777955,"endHours":23.177253122777955,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.177253122777955,"endHours":24.177253122777955,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.177253122777955,"endHours":25.177253122777955,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.177253122777955,"endHours":26.177253122777955,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.177253122777955,"endHours":27.177253122777955,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.177253122777955,"endHours":28.177253122777955,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.177253122777955,"endHours":29.177253122777955,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.177253122777955,"endHours":30.177253122777955,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.177253122777955,"endHours":31.177253122777955,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"East","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"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":-22.771487551975724,"eotMinutes":-5.02390686534617,"ayanamsa":23.0289}},"calendars":{"vikram_samvat":1998,"vikram_samvatsara":"Jaya","saka_samvat":1863,"saka_samvatsara":"Vṛṣa","bengali_samvat":1348,"malayalam_era":1117,"nanakshahi_year":472,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Saptamī · Vikram 1998 Jaya · Śaka 1863 Vṛṣa"},"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":"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":"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 4, 1941 CE · Mathurā · Vidhyamitra","description":"January 4, 1941 CE for Mathurā: Śukla Saptamī, sūryodaya 07:11, sūryāsta 17:38.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1941-01-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1941-01-04","sa":"https://sa.vidhyamitra.com/city/mathura/1941-01-04","hi":"https://hi.vidhyamitra.com/city/mathura/1941-01-04","x-default":"https://vidhyamitra.com/city/mathura/1941-01-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T18:28:18.978Z","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":"2026-05-14T18:28:18.978Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T18:28:18.978Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}