{"id":"vidhyamitra:city-day:mathura:1940-01-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1940-01-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1940-01-13","date_display":"January 13, 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":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2429641.770833,"kali_year":5041,"ahargana":1841176.2708,"sun":{"sidereal_longitude":268.7007,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":310.3988,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":41.6981,"elapsed_within_tithi_degrees":5.6981},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2,"moon_longitude":310.3988,"elapsed_within_degrees":3.7322},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":219.0996},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"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":1940,"month":1,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2429641.770833,"ahargana":1841176.2708,"kali_year":5041,"ayanamsa_lahiri":23.0153,"grahas":{"sun":{"sidereal_longitude":268.690075,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":307.422375,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false,"latitude":3.6949},"mars":{"sidereal_longitude":343.945875,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":258.04887499999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":340.433675,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":301.013775,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":2.039874999999995,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":185.6208,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":5.6208,"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":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2429641.770833,"kali_year":5041,"ahargana":1841176.2708,"sun":{"sidereal_longitude":268.7007,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":310.3988,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":41.6981,"elapsed_within_tithi_degrees":5.6981},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2,"moon_longitude":310.3988,"elapsed_within_degrees":3.7322},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":219.0996},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.695,"elongation":41.698},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.695,"opposition_distance":138.302}},"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":10.544955391076781,"dayLengthDisplay":"10 Hours 32 Mins 42 Secs","nightLengthDisplay":"13 Hours 27 Mins 18 Secs","moonriseLocal":"09:24","moonsetLocal":"20:42","rahuKala":{"name":"Rāhu Kāla","start":"09:50","end":"11:09","startHours":9.829446677087033,"endHours":11.14756610097163,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:47","end":"15:06","startHours":13.783804948740826,"endHours":15.101924372625422,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:12","end":"08:31","startHours":7.193207829317837,"endHours":8.511327253202435,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:00","startHours":9.653697420569085,"endHours":10.005195933604979,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:38","end":"07:55","startHours":7.632580970612703,"endHours":7.913779781041417,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:49","startHours":12.114187011820334,"endHours":12.817184037892119,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.787213777174266,"endHours":6.490210803246051,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:19","end":"07:12","startHours":6.314461546728105,"endHours":7.193207829317837,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:13","end":"14:56","startHours":14.223178090035692,"endHours":14.926175116107476,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:32","end":"17:56","startHours":17.53816322039462,"endHours":17.938163220394618,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:44","end":"18:11","startHours":17.73816322039462,"endHours":18.177536361689484,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:29","end":"19:14","startHours":17.48816322039462,"endHours":19.23816322039462,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:49","startHours":24.114187011820334,"endHours":24.81718403789212,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:12","end":"08:31","startHours":7.193207829317837,"endHours":8.511327253202435,"quality":"inauspicious"},{"name":"Śubha","start":"08:31","end":"09:50","startHours":8.511327253202435,"endHours":9.829446677087033,"quality":"auspicious"},{"name":"Roga","start":"09:50","end":"11:09","startHours":9.829446677087033,"endHours":11.14756610097163,"quality":"inauspicious"},{"name":"Udveg","start":"11:09","end":"12:28","startHours":11.14756610097163,"endHours":12.465685524856227,"quality":"inauspicious"},{"name":"Chala","start":"12:28","end":"13:47","startHours":12.465685524856227,"endHours":13.783804948740826,"quality":"neutral"},{"name":"Labha","start":"13:47","end":"15:06","startHours":13.783804948740826,"endHours":15.101924372625422,"quality":"auspicious"},{"name":"Amṛta","start":"15:06","end":"16:25","startHours":15.101924372625422,"endHours":16.420043796510022,"quality":"auspicious"},{"name":"Kāla","start":"16:25","end":"17:44","startHours":16.420043796510022,"endHours":17.73816322039462,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:44","end":"19:25","startHours":17.73816322039462,"endHours":19.420043796510022,"quality":"auspicious"},{"name":"Amṛta","start":"19:25","end":"21:06","startHours":19.420043796510022,"endHours":21.101924372625422,"quality":"auspicious"},{"name":"Kāla","start":"21:06","end":"22:47","startHours":21.101924372625422,"endHours":22.783804948740826,"quality":"inauspicious"},{"name":"Śubha","start":"22:47","end":"00:28","startHours":22.783804948740826,"endHours":24.465685524856227,"quality":"auspicious"},{"name":"Roga","start":"00:28","end":"02:09","startHours":24.465685524856227,"endHours":26.14756610097163,"quality":"inauspicious"},{"name":"Udveg","start":"02:09","end":"03:50","startHours":26.14756610097163,"endHours":27.829446677087034,"quality":"inauspicious"},{"name":"Chala","start":"03:50","end":"05:31","startHours":27.829446677087034,"endHours":29.511327253202435,"quality":"neutral"},{"name":"Labha","start":"05:31","end":"07:12","startHours":29.511327253202435,"endHours":31.193207829317835,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:12","end":"08:12","startHours":7.193207829317837,"endHours":8.193207829317837,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:12","end":"09:12","startHours":8.193207829317837,"endHours":9.193207829317837,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:12","end":"10:12","startHours":9.193207829317837,"endHours":10.193207829317837,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:12","end":"11:12","startHours":10.193207829317837,"endHours":11.193207829317837,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:12","end":"12:12","startHours":11.193207829317837,"endHours":12.193207829317837,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:12","end":"13:12","startHours":12.193207829317837,"endHours":13.193207829317837,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:12","end":"14:12","startHours":13.193207829317837,"endHours":14.193207829317837,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:12","end":"15:12","startHours":14.193207829317837,"endHours":15.193207829317837,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:12","end":"16:12","startHours":15.193207829317837,"endHours":16.193207829317835,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:12","end":"17:12","startHours":16.193207829317835,"endHours":17.193207829317835,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:12","end":"18:12","startHours":17.193207829317835,"endHours":18.193207829317835,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:12","end":"19:12","startHours":18.193207829317835,"endHours":19.193207829317835,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:12","end":"20:12","startHours":19.193207829317835,"endHours":20.193207829317835,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:12","end":"21:12","startHours":20.193207829317835,"endHours":21.193207829317835,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:12","end":"22:12","startHours":21.193207829317835,"endHours":22.193207829317835,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:12","end":"23:12","startHours":22.193207829317835,"endHours":23.193207829317835,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:12","end":"00:12","startHours":23.193207829317835,"endHours":24.193207829317835,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:12","end":"01:12","startHours":24.193207829317835,"endHours":25.193207829317835,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:12","end":"02:12","startHours":25.193207829317835,"endHours":26.193207829317835,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:12","end":"03:12","startHours":26.193207829317835,"endHours":27.193207829317835,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:12","end":"04:12","startHours":27.193207829317835,"endHours":28.193207829317835,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:12","end":"05:12","startHours":28.193207829317835,"endHours":29.193207829317835,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:12","end":"06:12","startHours":29.193207829317835,"endHours":30.193207829317835,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:12","end":"07:12","startHours":30.193207829317835,"endHours":31.193207829317835,"planetary_lord":"Mercury"}],"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","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"East","anandadiYoga":{"name":"Śubha","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":-21.686781266160747,"eotMinutes":-8.635931491373626,"ayanamsa":23.0153}},"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 Caturthī · 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},{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"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 13, 1940 CE · Mathurā · Vidhyamitra","description":"January 13, 1940 CE for Mathurā: Śukla Caturthī, sūryodaya 07:12, sūryāsta 17:44.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1940-01-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1940-01-13","sa":"https://sa.vidhyamitra.com/city/mathura/1940-01-13","hi":"https://hi.vidhyamitra.com/city/mathura/1940-01-13","x-default":"https://vidhyamitra.com/city/mathura/1940-01-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T19:59:10.216Z","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":"2026-05-14T19:59:10.216Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T19:59:10.216Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}