{"id":"vidhyamitra:city-day:mathura:1940-01-12:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1940-01-12","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1940-01-12","date_display":"January 12, 1940 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":1940,"month":1,"day":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2429640.770833,"kali_year":5041,"ahargana":1841175.2708,"sun":{"sidereal_longitude":267.6734,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":298.1179,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":30.4445,"elapsed_within_tithi_degrees":6.4445},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":298.1179,"elapsed_within_degrees":4.7846},"yoga":{"number":16,"name":"Siddhi","sum_longitude":205.7913},"karana":{"half_tithi_index":5,"name":"Gara"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":1940,"month":1,"day":12,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2429640.770833,"ahargana":1841175.2708,"kali_year":5041,"ayanamsa_lahiri":23.0152,"grahas":{"sun":{"sidereal_longitude":267.6712130000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":295.394413,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false,"latitude":4.1585},"mars":{"sidereal_longitude":343.265213,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":256.500713,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":340.286413,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":299.78181300000006,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":2.0115129999999795,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":185.6738,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":5.6738,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","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":1940,"month":1,"day":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2429640.770833,"kali_year":5041,"ahargana":1841175.2708,"sun":{"sidereal_longitude":267.6734,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":298.1179,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":30.4445,"elapsed_within_tithi_degrees":6.4445},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":298.1179,"elapsed_within_degrees":4.7846},"yoga":{"number":16,"name":"Siddhi","sum_longitude":205.7913},"karana":{"half_tithi_index":5,"name":"Gara"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.159,"elongation":30.444},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.159,"opposition_distance":149.556}},"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":"17:44","solarNoonLocal":"12:28","dayLengthHours":10.532177690246964,"dayLengthDisplay":"10 Hours 31 Mins 56 Secs","nightLengthDisplay":"13 Hours 28 Mins 04 Secs","moonriseLocal":"08:48","moonsetLocal":"19:48","rahuKala":{"name":"Rāhu Kāla","start":"11:09","end":"12:28","startHours":11.142989165992097,"endHours":12.459511377272968,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:06","end":"16:25","startHours":15.092555799834708,"endHours":16.40907801111558,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:31","end":"09:50","startHours":8.509944743430355,"endHours":9.826466954711226,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:00","startHours":9.650930659873776,"endHours":10.002003249548675,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:38","end":"07:55","startHours":7.632263269243108,"endHours":7.913121340983027,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:49","startHours":12.108438787598066,"endHours":12.810583966947865,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.7891321734498895,"endHours":6.4912773527996865,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:19","end":"07:12","startHours":6.315741057962238,"endHours":7.1934225321494845,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:13","end":"14:55","startHours":14.214874325647461,"endHours":14.917019504997258,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:32","end":"17:56","startHours":17.52560022239645,"endHours":17.925600222396447,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:44","end":"18:10","startHours":17.725600222396448,"endHours":18.164440959490072,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:29","end":"19:14","startHours":17.475600222396448,"endHours":19.225600222396448,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:49","startHours":24.108438787598068,"endHours":24.810583966947867,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"07:12","end":"08:31","startHours":7.1934225321494845,"endHours":8.509944743430355,"quality":"neutral"},{"name":"Labha","start":"08:31","end":"09:50","startHours":8.509944743430355,"endHours":9.826466954711226,"quality":"auspicious"},{"name":"Amṛta","start":"09:50","end":"11:09","startHours":9.826466954711226,"endHours":11.142989165992097,"quality":"auspicious"},{"name":"Kāla","start":"11:09","end":"12:28","startHours":11.142989165992097,"endHours":12.459511377272968,"quality":"inauspicious"},{"name":"Śubha","start":"12:28","end":"13:47","startHours":12.459511377272968,"endHours":13.776033588553837,"quality":"auspicious"},{"name":"Roga","start":"13:47","end":"15:06","startHours":13.776033588553837,"endHours":15.092555799834708,"quality":"inauspicious"},{"name":"Udveg","start":"15:06","end":"16:25","startHours":15.092555799834708,"endHours":16.40907801111558,"quality":"inauspicious"},{"name":"Chala","start":"16:25","end":"17:44","startHours":16.40907801111558,"endHours":17.725600222396448,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:44","end":"19:25","startHours":17.725600222396448,"endHours":19.40907801111558,"quality":"inauspicious"},{"name":"Udveg","start":"19:25","end":"21:06","startHours":19.40907801111558,"endHours":21.092555799834706,"quality":"inauspicious"},{"name":"Chala","start":"21:06","end":"22:47","startHours":21.092555799834706,"endHours":22.776033588553837,"quality":"neutral"},{"name":"Labha","start":"22:47","end":"00:28","startHours":22.776033588553837,"endHours":24.459511377272968,"quality":"auspicious"},{"name":"Amṛta","start":"00:28","end":"02:09","startHours":24.459511377272968,"endHours":26.142989165992095,"quality":"auspicious"},{"name":"Kāla","start":"02:09","end":"03:50","startHours":26.142989165992095,"endHours":27.826466954711226,"quality":"inauspicious"},{"name":"Śubha","start":"03:50","end":"05:31","startHours":27.826466954711226,"endHours":29.509944743430353,"quality":"auspicious"},{"name":"Roga","start":"05:31","end":"07:12","startHours":29.509944743430353,"endHours":31.193422532149484,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:12","end":"08:12","startHours":7.1934225321494845,"endHours":8.193422532149484,"planetary_lord":"Venus"},{"name":"Hora 2","start":"08:12","end":"09:12","startHours":8.193422532149484,"endHours":9.193422532149484,"planetary_lord":"Sun"},{"name":"Hora 3","start":"09:12","end":"10:12","startHours":9.193422532149484,"endHours":10.193422532149484,"planetary_lord":"Mars"},{"name":"Hora 4","start":"10:12","end":"11:12","startHours":10.193422532149484,"endHours":11.193422532149484,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"11:12","end":"12:12","startHours":11.193422532149484,"endHours":12.193422532149484,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"12:12","end":"13:12","startHours":12.193422532149484,"endHours":13.193422532149484,"planetary_lord":"Moon"},{"name":"Hora 7","start":"13:12","end":"14:12","startHours":13.193422532149484,"endHours":14.193422532149484,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"14:12","end":"15:12","startHours":14.193422532149484,"endHours":15.193422532149484,"planetary_lord":"Venus"},{"name":"Hora 9","start":"15:12","end":"16:12","startHours":15.193422532149484,"endHours":16.193422532149484,"planetary_lord":"Sun"},{"name":"Hora 10","start":"16:12","end":"17:12","startHours":16.193422532149484,"endHours":17.193422532149484,"planetary_lord":"Mars"},{"name":"Hora 11","start":"17:12","end":"18:12","startHours":17.193422532149484,"endHours":18.193422532149484,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"18:12","end":"19:12","startHours":18.193422532149484,"endHours":19.193422532149484,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"19:12","end":"20:12","startHours":19.193422532149484,"endHours":20.193422532149484,"planetary_lord":"Moon"},{"name":"Hora 14","start":"20:12","end":"21:12","startHours":20.193422532149484,"endHours":21.193422532149484,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"21:12","end":"22:12","startHours":21.193422532149484,"endHours":22.193422532149484,"planetary_lord":"Venus"},{"name":"Hora 16","start":"22:12","end":"23:12","startHours":22.193422532149484,"endHours":23.193422532149484,"planetary_lord":"Sun"},{"name":"Hora 17","start":"23:12","end":"00:12","startHours":23.193422532149484,"endHours":24.193422532149484,"planetary_lord":"Mars"},{"name":"Hora 18","start":"00:12","end":"01:12","startHours":24.193422532149484,"endHours":25.193422532149484,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"01:12","end":"02:12","startHours":25.193422532149484,"endHours":26.193422532149484,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"02:12","end":"03:12","startHours":26.193422532149484,"endHours":27.193422532149484,"planetary_lord":"Moon"},{"name":"Hora 21","start":"03:12","end":"04:12","startHours":27.193422532149484,"endHours":28.193422532149484,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"04:12","end":"05:12","startHours":28.193422532149484,"endHours":29.193422532149484,"planetary_lord":"Venus"},{"name":"Hora 23","start":"05:12","end":"06:12","startHours":29.193422532149484,"endHours":30.193422532149484,"planetary_lord":"Sun"},{"name":"Hora 24","start":"06:12","end":"07:12","startHours":30.193422532149484,"endHours":31.193422532149484,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"South-East","anandadiYoga":{"name":"Lumba","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":-21.844557597144487,"eotMinutes":-8.265482636377905,"ayanamsa":23.0152}},"calendars":{"vikram_samvat":1997,"vikram_samvatsara":"Vijaya","saka_samvat":1862,"saka_samvatsara":"Vikrama","bengali_samvat":1347,"malayalam_era":1116,"nanakshahi_year":471,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Tṛtīyā · Vikram 1997 Vijaya · Śaka 1862 Vikrama"},"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":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 12, 1940 CE · Mathurā · Vidhyamitra","description":"January 12, 1940 CE for Mathurā: Śukla Tṛtīyā, sūryodaya 07:12, sūryāsta 17:44.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1940-01-12","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1940-01-12","sa":"https://sa.vidhyamitra.com/city/mathura/1940-01-12","hi":"https://hi.vidhyamitra.com/city/mathura/1940-01-12","x-default":"https://vidhyamitra.com/city/mathura/1940-01-12"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:41:28.961Z","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":"2026-05-14T14:41:28.961Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:41:28.961Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}