{"id":"vidhyamitra:city-day:mathura:1933-01-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1933-01-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1933-01-13","date_display":"January 13, 1933 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":1933,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2427085.770833,"kali_year":5034,"ahargana":1838620.2708,"sun":{"sidereal_longitude":269.534,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":103.319,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":193.785,"elapsed_within_tithi_degrees":1.785},"nakshatra":{"number":8,"name":"Puṣya","pada":3,"moon_longitude":103.319,"elapsed_within_degrees":9.9857},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":12.8531},"karana":{"half_tithi_index":32,"name":"Taitila"},"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":1933,"month":1,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2427085.770833,"ahargana":1838620.2708,"kali_year":5034,"ayanamsa_lahiri":22.9175,"grahas":{"sun":{"sidereal_longitude":269.500233,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":103.18393300000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false,"latitude":2.752},"mars":{"sidereal_longitude":147.84943299999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":254.76503300000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":150.73573299999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":true},"venus":{"sidereal_longitude":246.304033,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":282.953033,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":321.05,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":141.05,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"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":1933,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2427085.770833,"kali_year":5034,"ahargana":1838620.2708,"sun":{"sidereal_longitude":269.534,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":103.319,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":193.785,"elapsed_within_tithi_degrees":1.785},"nakshatra":{"number":8,"name":"Puṣya","pada":3,"moon_longitude":103.319,"elapsed_within_degrees":9.9857},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":12.8531},"karana":{"half_tithi_index":32,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.752,"elongation":166.215},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.752,"opposition_distance":13.785}},"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":"17:45","solarNoonLocal":"12:28","dayLengthHours":10.55420715381235,"dayLengthDisplay":"10 Hours 33 Mins 15 Secs","nightLengthDisplay":"13 Hours 26 Mins 45 Secs","moonriseLocal":"18:39","moonsetLocal":"08:06","rahuKala":{"name":"Rāhu Kāla","start":"11:09","end":"12:28","startHours":11.146409630629684,"endHours":12.465685524856227,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:06","end":"16:25","startHours":15.104237313309314,"endHours":16.42351320753586,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:30","end":"09:50","startHours":8.507857842176595,"endHours":9.82713373640314,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:00","startHours":9.651230283839599,"endHours":10.003037188966678,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:38","end":"07:55","startHours":7.6283405793589,"endHours":7.909786103460562,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:49","startHours":12.113878619729148,"endHours":12.817492429983306,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.781354327441739,"endHours":6.484968137695895,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:19","end":"07:11","startHours":6.309064685132356,"endHours":7.188581947950052,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:13","end":"14:56","startHours":14.224720050491618,"endHours":14.928333860745774,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:33","end":"17:57","startHours":17.542789101762402,"endHours":17.9427891017624,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:45","end":"18:11","startHours":17.7427891017624,"endHours":18.182547733171248,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:30","end":"19:15","startHours":17.4927891017624,"endHours":19.2427891017624,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:49","startHours":24.11387861972915,"endHours":24.817492429983304,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"07:11","end":"08:30","startHours":7.188581947950052,"endHours":8.507857842176595,"quality":"neutral"},{"name":"Labha","start":"08:30","end":"09:50","startHours":8.507857842176595,"endHours":9.82713373640314,"quality":"auspicious"},{"name":"Amṛta","start":"09:50","end":"11:09","startHours":9.82713373640314,"endHours":11.146409630629684,"quality":"auspicious"},{"name":"Kāla","start":"11:09","end":"12:28","startHours":11.146409630629684,"endHours":12.465685524856227,"quality":"inauspicious"},{"name":"Śubha","start":"12:28","end":"13:47","startHours":12.465685524856227,"endHours":13.78496141908277,"quality":"auspicious"},{"name":"Roga","start":"13:47","end":"15:06","startHours":13.78496141908277,"endHours":15.104237313309314,"quality":"inauspicious"},{"name":"Udveg","start":"15:06","end":"16:25","startHours":15.104237313309314,"endHours":16.42351320753586,"quality":"inauspicious"},{"name":"Chala","start":"16:25","end":"17:45","startHours":16.42351320753586,"endHours":17.7427891017624,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:45","end":"19:25","startHours":17.7427891017624,"endHours":19.42351320753586,"quality":"inauspicious"},{"name":"Udveg","start":"19:25","end":"21:06","startHours":19.42351320753586,"endHours":21.104237313309312,"quality":"inauspicious"},{"name":"Chala","start":"21:06","end":"22:47","startHours":21.104237313309312,"endHours":22.78496141908277,"quality":"neutral"},{"name":"Labha","start":"22:47","end":"00:28","startHours":22.78496141908277,"endHours":24.465685524856227,"quality":"auspicious"},{"name":"Amṛta","start":"00:28","end":"02:09","startHours":24.465685524856227,"endHours":26.146409630629684,"quality":"auspicious"},{"name":"Kāla","start":"02:09","end":"03:50","startHours":26.146409630629684,"endHours":27.82713373640314,"quality":"inauspicious"},{"name":"Śubha","start":"03:50","end":"05:30","startHours":27.82713373640314,"endHours":29.507857842176595,"quality":"auspicious"},{"name":"Roga","start":"05:30","end":"07:11","startHours":29.507857842176595,"endHours":31.188581947950052,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.188581947950052,"endHours":8.188581947950052,"planetary_lord":"Venus"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.188581947950052,"endHours":9.188581947950052,"planetary_lord":"Sun"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.188581947950052,"endHours":10.188581947950052,"planetary_lord":"Mars"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.188581947950052,"endHours":11.188581947950052,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.188581947950052,"endHours":12.188581947950052,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.188581947950052,"endHours":13.188581947950052,"planetary_lord":"Moon"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.188581947950052,"endHours":14.188581947950052,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.188581947950052,"endHours":15.188581947950052,"planetary_lord":"Venus"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.188581947950052,"endHours":16.188581947950052,"planetary_lord":"Sun"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.188581947950052,"endHours":17.188581947950052,"planetary_lord":"Mars"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.188581947950052,"endHours":18.188581947950052,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.188581947950052,"endHours":19.188581947950052,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.188581947950052,"endHours":20.188581947950052,"planetary_lord":"Moon"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.188581947950052,"endHours":21.188581947950052,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.188581947950052,"endHours":22.188581947950052,"planetary_lord":"Venus"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.188581947950052,"endHours":23.188581947950052,"planetary_lord":"Sun"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.188581947950052,"endHours":24.188581947950052,"planetary_lord":"Mars"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.188581947950052,"endHours":25.188581947950052,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.188581947950052,"endHours":26.188581947950052,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.188581947950052,"endHours":27.188581947950052,"planetary_lord":"Moon"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.188581947950052,"endHours":28.188581947950052,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.188581947950052,"endHours":29.188581947950052,"planetary_lord":"Venus"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.188581947950052,"endHours":30.188581947950052,"planetary_lord":"Sun"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.188581947950052,"endHours":31.188581947950052,"planetary_lord":"Mars"}],"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":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"South-East","anandadiYoga":{"name":"Dhātṛ","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":-21.572302425442004,"eotMinutes":-8.635931491373626,"ayanamsa":22.9175}},"calendars":{"vikram_samvat":1990,"vikram_samvatsara":"Vyaya","saka_samvat":1855,"saka_samvatsara":"Śrīmukha","bengali_samvat":1340,"malayalam_era":1109,"nanakshahi_year":464,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Dvitīyā · Vikram 1990 Vyaya · Śaka 1855 Śrīmukha"},"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 13, 1933 CE · Mathurā · Vidhyamitra","description":"January 13, 1933 CE for Mathurā: Kṛṣṇa Dvitīyā, sūryodaya 07:11, sūryāsta 17:45.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1933-01-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1933-01-13","sa":"https://sa.vidhyamitra.com/city/mathura/1933-01-13","hi":"https://hi.vidhyamitra.com/city/mathura/1933-01-13","x-default":"https://vidhyamitra.com/city/mathura/1933-01-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T11:42:07.383Z","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":"2026-05-14T11:42:07.383Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T11:42:07.383Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}