{"id":"vidhyamitra:city-day:mathura:1929-01-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1929-01-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1929-01-03","date_display":"January 3, 1929 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":1929,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2425614.770833,"kali_year":5030,"ahargana":1837149.2708,"sun":{"sidereal_longitude":259.293,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":169.4898,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":270.1968,"elapsed_within_tithi_degrees":6.1968},"nakshatra":{"number":13,"name":"Hasta","pada":3,"moon_longitude":169.4898,"elapsed_within_degrees":9.4898},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":68.7828},"karana":{"half_tithi_index":45,"name":"Kaulava"},"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":1929,"month":1,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2425614.770833,"ahargana":1837149.2708,"kali_year":5030,"ayanamsa_lahiri":22.8613,"grahas":{"sun":{"sidereal_longitude":259.335336,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":172.384236,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false,"latitude":3.4204},"mars":{"sidereal_longitude":63.116736,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":269.52033600000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":8.938436000000024,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":304.135136,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":241.345636,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":38.9906,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":218.9906,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","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":1929,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2425614.770833,"kali_year":5030,"ahargana":1837149.2708,"sun":{"sidereal_longitude":259.293,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":169.4898,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":270.1968,"elapsed_within_tithi_degrees":6.1968},"nakshatra":{"number":13,"name":"Hasta","pada":3,"moon_longitude":169.4898,"elapsed_within_degrees":9.4898},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":68.7828},"karana":{"half_tithi_index":45,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.42,"elongation":89.803},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.42,"opposition_distance":90.197}},"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":"07:10","sunsetLocal":"17:37","solarNoonLocal":"12:24","dayLengthHours":10.44776934116495,"dayLengthDisplay":"10 Hours 26 Mins 52 Secs","nightLengthDisplay":"13 Hours 33 Mins 08 Secs","moonriseLocal":"00:46","moonsetLocal":"12:26","rahuKala":{"name":"Rāhu Kāla","start":"13:42","end":"15:01","startHours":13.704214848156587,"endHours":15.010186015802205,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:10","end":"08:29","startHours":7.1743590099284935,"endHours":8.480330177574112,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:47","end":"11:06","startHours":9.78630134521973,"endHours":11.09227251286535,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:37","end":"09:58","startHours":9.612171856200316,"endHours":9.960430834239148,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:53","startHours":7.609682732477033,"endHours":7.888289914908098,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:45","startHours":12.049984702472138,"endHours":12.746502658549801,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.781323097773167,"endHours":6.47784105385083,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:10","startHours":6.303711564831414,"endHours":7.1743590099284935,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:08","end":"14:50","startHours":14.139538570705128,"endHours":14.83605652678279,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:25","end":"17:49","startHours":17.422128351093445,"endHours":17.822128351093443,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:37","end":"18:03","startHours":17.622128351093444,"endHours":18.057452073641983,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:22","end":"19:07","startHours":17.372128351093444,"endHours":19.122128351093444,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:45","startHours":24.049984702472138,"endHours":24.7465026585498,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:10","end":"08:29","startHours":7.1743590099284935,"endHours":8.480330177574112,"quality":"auspicious"},{"name":"Roga","start":"08:29","end":"09:47","startHours":8.480330177574112,"endHours":9.78630134521973,"quality":"inauspicious"},{"name":"Udveg","start":"09:47","end":"11:06","startHours":9.78630134521973,"endHours":11.09227251286535,"quality":"inauspicious"},{"name":"Chala","start":"11:06","end":"12:24","startHours":11.09227251286535,"endHours":12.39824368051097,"quality":"neutral"},{"name":"Labha","start":"12:24","end":"13:42","startHours":12.39824368051097,"endHours":13.704214848156587,"quality":"auspicious"},{"name":"Amṛta","start":"13:42","end":"15:01","startHours":13.704214848156587,"endHours":15.010186015802205,"quality":"auspicious"},{"name":"Kāla","start":"15:01","end":"16:19","startHours":15.010186015802205,"endHours":16.316157183447825,"quality":"inauspicious"},{"name":"Śubha","start":"16:19","end":"17:37","startHours":16.316157183447825,"endHours":17.622128351093444,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:37","end":"19:19","startHours":17.622128351093444,"endHours":19.316157183447825,"quality":"auspicious"},{"name":"Kāla","start":"19:19","end":"21:01","startHours":19.316157183447825,"endHours":21.010186015802205,"quality":"inauspicious"},{"name":"Śubha","start":"21:01","end":"22:42","startHours":21.010186015802205,"endHours":22.70421484815659,"quality":"auspicious"},{"name":"Roga","start":"22:42","end":"00:24","startHours":22.70421484815659,"endHours":24.39824368051097,"quality":"inauspicious"},{"name":"Udveg","start":"00:24","end":"02:06","startHours":24.39824368051097,"endHours":26.09227251286535,"quality":"inauspicious"},{"name":"Chala","start":"02:06","end":"03:47","startHours":26.09227251286535,"endHours":27.786301345219734,"quality":"neutral"},{"name":"Labha","start":"03:47","end":"05:29","startHours":27.786301345219734,"endHours":29.480330177574114,"quality":"auspicious"},{"name":"Amṛta","start":"05:29","end":"07:10","startHours":29.480330177574114,"endHours":31.174359009928494,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:10","end":"08:10","startHours":7.1743590099284935,"endHours":8.174359009928494,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:10","end":"09:10","startHours":8.174359009928494,"endHours":9.174359009928494,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:10","end":"10:10","startHours":9.174359009928494,"endHours":10.174359009928494,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:10","end":"11:10","startHours":10.174359009928494,"endHours":11.174359009928494,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:10","end":"12:10","startHours":11.174359009928494,"endHours":12.174359009928494,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:10","end":"13:10","startHours":12.174359009928494,"endHours":13.174359009928494,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:10","end":"14:10","startHours":13.174359009928494,"endHours":14.174359009928494,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:10","end":"15:10","startHours":14.174359009928494,"endHours":15.174359009928494,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:10","end":"16:10","startHours":15.174359009928494,"endHours":16.174359009928494,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:10","end":"17:10","startHours":16.174359009928494,"endHours":17.174359009928494,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:10","end":"18:10","startHours":17.174359009928494,"endHours":18.174359009928494,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:10","end":"19:10","startHours":18.174359009928494,"endHours":19.174359009928494,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:10","end":"20:10","startHours":19.174359009928494,"endHours":20.174359009928494,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:10","end":"21:10","startHours":20.174359009928494,"endHours":21.174359009928494,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:10","end":"22:10","startHours":21.174359009928494,"endHours":22.174359009928494,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:10","end":"23:10","startHours":22.174359009928494,"endHours":23.174359009928494,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:10","end":"00:10","startHours":23.174359009928494,"endHours":24.174359009928494,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:10","end":"01:10","startHours":24.174359009928494,"endHours":25.174359009928494,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:10","end":"02:10","startHours":25.174359009928494,"endHours":26.174359009928494,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:10","end":"03:10","startHours":26.174359009928494,"endHours":27.174359009928494,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:10","end":"04:10","startHours":27.174359009928494,"endHours":28.174359009928494,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:10","end":"05:10","startHours":28.174359009928494,"endHours":29.174359009928494,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:10","end":"06:10","startHours":29.174359009928494,"endHours":30.174359009928494,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:10","end":"07:10","startHours":30.174359009928494,"endHours":31.174359009928494,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"North-West","rahuVasa":"North-West","anandadiYoga":{"name":"Ānanda","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":-22.87705174808462,"eotMinutes":-4.589420830658165,"ayanamsa":22.8613}},"calendars":{"vikram_samvat":1986,"vikram_samvatsara":"Citrabhānu","saka_samvat":1851,"saka_samvatsara":"Śukla","bengali_samvat":1336,"malayalam_era":1105,"nanakshahi_year":460,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Aṣṭamī · Vikram 1986 Citrabhānu · Śaka 1851 Śukla"},"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":"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":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Kṛṣṇa Aṣṭamī","url":"/day/-3226-07-09","relevance":0.5}]},"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 3, 1929 CE · Mathurā · Vidhyamitra","description":"January 3, 1929 CE for Mathurā: Kṛṣṇa Aṣṭamī, sūryodaya 07:10, sūryāsta 17:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1929-01-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1929-01-03","sa":"https://sa.vidhyamitra.com/city/mathura/1929-01-03","hi":"https://hi.vidhyamitra.com/city/mathura/1929-01-03","x-default":"https://vidhyamitra.com/city/mathura/1929-01-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:45:57.079Z","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":"2026-05-14T14:45:57.079Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:45:57.079Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}