{"id":"vidhyamitra:city-day:mathura:2029-01-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2029-01-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2029-01-01","date_display":"January 1, 2029 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":2029,"month":1,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2462137.770833,"kali_year":5130,"ahargana":1873672.2708,"sun":{"sidereal_longitude":256.3365,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":79.3664,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":183.0298,"elapsed_within_tithi_degrees":3.0298},"nakshatra":{"number":6,"name":"Ārdrā","pada":4,"moon_longitude":79.3664,"elapsed_within_degrees":12.6997},"yoga":{"number":26,"name":"Indra","sum_longitude":335.7029},"karana":{"half_tithi_index":30,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2029,"month":1,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2462137.770833,"ahargana":1873672.2708,"kali_year":5130,"ayanamsa_lahiri":24.2581,"grahas":{"sun":{"sidereal_longitude":256.6387890000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":80.950489,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false,"latitude":0.3496},"mars":{"sidereal_longitude":159.56318899999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":275.83738900000003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":180.65078900000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":236.47678900000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":10.144289000000015,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":263.8263,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":83.8263,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","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":2029,"month":1,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2462137.770833,"kali_year":5130,"ahargana":1873672.2708,"sun":{"sidereal_longitude":256.3365,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":79.3664,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":183.0298,"elapsed_within_tithi_degrees":3.0298},"nakshatra":{"number":6,"name":"Ārdrā","pada":4,"moon_longitude":79.3664,"elapsed_within_degrees":12.6997},"yoga":{"number":26,"name":"Indra","sum_longitude":335.7029},"karana":{"half_tithi_index":30,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.35,"elongation":176.97},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.35,"opposition_distance":3.03}},"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":"17:36","solarNoonLocal":"12:23","dayLengthHours":10.43849875899368,"dayLengthDisplay":"10 Hours 26 Mins 19 Secs","nightLengthDisplay":"13 Hours 33 Mins 41 Secs","moonriseLocal":"17:47","moonsetLocal":"07:33","rahuKala":{"name":"Rāhu Kāla","start":"08:28","end":"09:46","startHours":8.469069270767303,"endHours":9.773881615641514,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:05","end":"12:23","startHours":11.078693960515723,"endHours":12.383506305389933,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:41","end":"15:00","startHours":13.688318650264144,"endHours":14.993130995138353,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:36","end":"09:57","startHours":9.599906636324953,"endHours":9.947856594958076,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:36","end":"07:53","startHours":7.599194374184497,"endHours":7.877554341090995,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:02","end":"12:44","startHours":12.035556346756811,"endHours":12.731456264023057,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:46","end":"06:28","startHours":5.772457091360603,"endHours":6.468357008626849,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:10","startHours":6.294382029310287,"endHours":7.164256925893094,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:07","end":"14:49","startHours":14.123256098555547,"endHours":14.819156015821793,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:24","end":"17:48","startHours":17.402755684886774,"endHours":17.802755684886773,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:36","end":"18:02","startHours":17.602755684886773,"endHours":18.037693133178177,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:21","end":"19:06","startHours":17.352755684886773,"endHours":19.102755684886773,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:02","end":"00:44","startHours":24.035556346756813,"endHours":24.73145626402306,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:10","end":"08:28","startHours":7.164256925893094,"endHours":8.469069270767303,"quality":"auspicious"},{"name":"Kāla","start":"08:28","end":"09:46","startHours":8.469069270767303,"endHours":9.773881615641514,"quality":"inauspicious"},{"name":"Śubha","start":"09:46","end":"11:05","startHours":9.773881615641514,"endHours":11.078693960515723,"quality":"auspicious"},{"name":"Roga","start":"11:05","end":"12:23","startHours":11.078693960515723,"endHours":12.383506305389933,"quality":"inauspicious"},{"name":"Udveg","start":"12:23","end":"13:41","startHours":12.383506305389933,"endHours":13.688318650264144,"quality":"inauspicious"},{"name":"Chala","start":"13:41","end":"15:00","startHours":13.688318650264144,"endHours":14.993130995138353,"quality":"neutral"},{"name":"Labha","start":"15:00","end":"16:18","startHours":14.993130995138353,"endHours":16.297943340012566,"quality":"auspicious"},{"name":"Amṛta","start":"16:18","end":"17:36","startHours":16.297943340012566,"endHours":17.602755684886773,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:36","end":"19:18","startHours":17.602755684886773,"endHours":19.297943340012562,"quality":"neutral"},{"name":"Labha","start":"19:18","end":"21:00","startHours":19.297943340012562,"endHours":20.993130995138355,"quality":"auspicious"},{"name":"Amṛta","start":"21:00","end":"22:41","startHours":20.993130995138355,"endHours":22.688318650264144,"quality":"auspicious"},{"name":"Kāla","start":"22:41","end":"00:23","startHours":22.688318650264144,"endHours":24.383506305389933,"quality":"inauspicious"},{"name":"Śubha","start":"00:23","end":"02:05","startHours":24.383506305389933,"endHours":26.07869396051572,"quality":"auspicious"},{"name":"Roga","start":"02:05","end":"03:46","startHours":26.07869396051572,"endHours":27.773881615641514,"quality":"inauspicious"},{"name":"Udveg","start":"03:46","end":"05:28","startHours":27.773881615641514,"endHours":29.469069270767303,"quality":"inauspicious"},{"name":"Chala","start":"05:28","end":"07:10","startHours":29.469069270767303,"endHours":31.164256925893092,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:10","end":"08:10","startHours":7.164256925893094,"endHours":8.164256925893094,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:10","end":"09:10","startHours":8.164256925893094,"endHours":9.164256925893094,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:10","end":"10:10","startHours":9.164256925893094,"endHours":10.164256925893094,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:10","end":"11:10","startHours":10.164256925893094,"endHours":11.164256925893094,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:10","end":"12:10","startHours":11.164256925893094,"endHours":12.164256925893094,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:10","end":"13:10","startHours":12.164256925893094,"endHours":13.164256925893094,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:10","end":"14:10","startHours":13.164256925893094,"endHours":14.164256925893094,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:10","end":"15:10","startHours":14.164256925893094,"endHours":15.164256925893094,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:10","end":"16:10","startHours":15.164256925893094,"endHours":16.164256925893092,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:10","end":"17:10","startHours":16.164256925893092,"endHours":17.164256925893092,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:10","end":"18:10","startHours":17.164256925893092,"endHours":18.164256925893092,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:10","end":"19:10","startHours":18.164256925893092,"endHours":19.164256925893092,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:10","end":"20:10","startHours":19.164256925893092,"endHours":20.164256925893092,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:10","end":"21:10","startHours":20.164256925893092,"endHours":21.164256925893092,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:10","end":"22:10","startHours":21.164256925893092,"endHours":22.164256925893092,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:10","end":"23:10","startHours":22.164256925893092,"endHours":23.164256925893092,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:10","end":"00:10","startHours":23.164256925893092,"endHours":24.164256925893092,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:10","end":"01:10","startHours":24.164256925893092,"endHours":25.164256925893092,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:10","end":"02:10","startHours":25.164256925893092,"endHours":26.164256925893092,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:10","end":"03:10","startHours":26.164256925893092,"endHours":27.164256925893092,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:10","end":"04:10","startHours":27.164256925893092,"endHours":28.164256925893092,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:10","end":"05:10","startHours":28.164256925893092,"endHours":29.164256925893092,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:10","end":"06:10","startHours":29.164256925893092,"endHours":30.164256925893092,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:10","end":"07:10","startHours":30.164256925893092,"endHours":31.164256925893092,"planetary_lord":"Venus"}],"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","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Mudgara","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":-22.989407142148515,"eotMinutes":-3.705178323396069,"ayanamsa":24.2581}},"calendars":{"vikram_samvat":2086,"vikram_samvatsara":"Dundubhi","saka_samvat":1951,"saka_samvatsara":"Saumya","bengali_samvat":1436,"malayalam_era":1205,"nanakshahi_year":560,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Pratipada · Vikram 2086 Dundubhi · Śaka 1951 Saumya"},"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":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 1, 2029 CE · Mathurā · Vidhyamitra","description":"January 1, 2029 CE for Mathurā: Kṛṣṇa Pratipada, sūryodaya 07:10, sūryāsta 17:36.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2029-01-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2029-01-01","sa":"https://sa.vidhyamitra.com/city/mathura/2029-01-01","hi":"https://hi.vidhyamitra.com/city/mathura/2029-01-01","x-default":"https://vidhyamitra.com/city/mathura/2029-01-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T11:37:28.571Z","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":"2026-05-14T11:37:28.571Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T11:37:28.571Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}