{"id":"vidhyamitra:city-day:mathura:2029-01-14:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2029-01-14","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2029-01-14","date_display":"January 14, 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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2029,"month":1,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2462150.770833,"kali_year":5130,"ahargana":1873685.2708,"sun":{"sidereal_longitude":269.6977,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":263.087,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":353.3893,"elapsed_within_tithi_degrees":5.3893},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3,"moon_longitude":263.087,"elapsed_within_degrees":9.7537},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":172.7848},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":14,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2462150.770833,"ahargana":1873685.2708,"kali_year":5130,"ayanamsa_lahiri":24.2586,"grahas":{"sun":{"sidereal_longitude":269.88659200000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":261.67929200000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false,"latitude":-0.004},"mars":{"sidereal_longitude":163.99719200000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":274.72409200000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":181.94899199999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":252.768692,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":10.196691999999985,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":263.1375,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":83.1375,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2029,"month":1,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2462150.770833,"kali_year":5130,"ahargana":1873685.2708,"sun":{"sidereal_longitude":269.6977,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":263.087,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":353.3893,"elapsed_within_tithi_degrees":5.3893},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3,"moon_longitude":263.087,"elapsed_within_degrees":9.7537},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":172.7848},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.004,"elongation":6.611},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.004,"opposition_distance":173.389}},"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":"17:46","solarNoonLocal":"12:28","dayLengthHours":10.577709406722327,"dayLengthDisplay":"10 Hours 34 Mins 40 Secs","nightLengthDisplay":"13 Hours 25 Mins 20 Secs","moonriseLocal":"06:42","moonsetLocal":"17:09","rahuKala":{"name":"Rāhu Kāla","start":"16:26","end":"17:46","startHours":16.438353110843344,"endHours":17.760566786683636,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:28","end":"13:48","startHours":12.471712083322473,"endHours":13.793925759162764,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:07","end":"16:26","startHours":15.116139435003054,"endHours":16.438353110843344,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:00","startHours":9.650989574863186,"endHours":10.003579888420596,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:54","startHours":7.623595271908073,"endHours":7.905667522754001,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:49","startHours":12.119121769765062,"endHours":12.824302396879883,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:46","end":"06:29","startHours":5.772496125731665,"endHours":6.477676752846487,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:11","startHours":6.301381596067782,"endHours":7.182857379961309,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:14","end":"14:56","startHours":14.234663651109528,"endHours":14.939844278224351,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:34","end":"17:58","startHours":17.560566786683637,"endHours":17.960566786683636,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:46","end":"18:12","startHours":17.760566786683636,"endHours":18.2013046786304,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:31","end":"19:16","startHours":17.510566786683636,"endHours":19.260566786683636,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:49","startHours":24.119121769765062,"endHours":24.824302396879883,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:11","end":"08:30","startHours":7.182857379961309,"endHours":8.5050710558016,"quality":"inauspicious"},{"name":"Chala","start":"08:30","end":"09:50","startHours":8.5050710558016,"endHours":9.82728473164189,"quality":"neutral"},{"name":"Labha","start":"09:50","end":"11:09","startHours":9.82728473164189,"endHours":11.14949840748218,"quality":"auspicious"},{"name":"Amṛta","start":"11:09","end":"12:28","startHours":11.14949840748218,"endHours":12.471712083322473,"quality":"auspicious"},{"name":"Kāla","start":"12:28","end":"13:48","startHours":12.471712083322473,"endHours":13.793925759162764,"quality":"inauspicious"},{"name":"Śubha","start":"13:48","end":"15:07","startHours":13.793925759162764,"endHours":15.116139435003054,"quality":"auspicious"},{"name":"Roga","start":"15:07","end":"16:26","startHours":15.116139435003054,"endHours":16.438353110843344,"quality":"inauspicious"},{"name":"Udveg","start":"16:26","end":"17:46","startHours":16.438353110843344,"endHours":17.760566786683636,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:46","end":"19:26","startHours":17.760566786683636,"endHours":19.438353110843344,"quality":"auspicious"},{"name":"Roga","start":"19:26","end":"21:07","startHours":19.438353110843344,"endHours":21.116139435003056,"quality":"inauspicious"},{"name":"Udveg","start":"21:07","end":"22:48","startHours":21.116139435003056,"endHours":22.793925759162764,"quality":"inauspicious"},{"name":"Chala","start":"22:48","end":"00:28","startHours":22.793925759162764,"endHours":24.471712083322473,"quality":"neutral"},{"name":"Labha","start":"00:28","end":"02:09","startHours":24.471712083322473,"endHours":26.14949840748218,"quality":"auspicious"},{"name":"Amṛta","start":"02:09","end":"03:50","startHours":26.14949840748218,"endHours":27.82728473164189,"quality":"auspicious"},{"name":"Kāla","start":"03:50","end":"05:30","startHours":27.82728473164189,"endHours":29.5050710558016,"quality":"inauspicious"},{"name":"Śubha","start":"05:30","end":"07:11","startHours":29.5050710558016,"endHours":31.18285737996131,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.182857379961309,"endHours":8.182857379961309,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.182857379961309,"endHours":9.182857379961309,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.182857379961309,"endHours":10.182857379961309,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.182857379961309,"endHours":11.182857379961309,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.182857379961309,"endHours":12.182857379961309,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.182857379961309,"endHours":13.182857379961309,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.182857379961309,"endHours":14.182857379961309,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.182857379961309,"endHours":15.182857379961309,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.182857379961309,"endHours":16.18285737996131,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.18285737996131,"endHours":17.18285737996131,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.18285737996131,"endHours":18.18285737996131,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.18285737996131,"endHours":19.18285737996131,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.18285737996131,"endHours":20.18285737996131,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.18285737996131,"endHours":21.18285737996131,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.18285737996131,"endHours":22.18285737996131,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.18285737996131,"endHours":23.18285737996131,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.18285737996131,"endHours":24.18285737996131,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.18285737996131,"endHours":25.18285737996131,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.18285737996131,"endHours":26.18285737996131,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.18285737996131,"endHours":27.18285737996131,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.18285737996131,"endHours":28.18285737996131,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.18285737996131,"endHours":29.18285737996131,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.18285737996131,"endHours":30.18285737996131,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.18285737996131,"endHours":31.18285737996131,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Śubha","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-21.280589454137175,"eotMinutes":-8.99752499934842,"ayanamsa":24.2586}},"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","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Amāvasyā · Vikram 2086 Dundubhi · Śaka 1951 Saumya"},"festivals":[{"id":"makara-sankranti","name":"Makara Saṅkrānti (Uttarāyaṇa)","name_sanskrit":"मकर सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Capricorn; Uttarāyaṇa (north-going) begins. Bhīṣma's chosen mahaprasthāna time.","vrata":true,"detection":{"sun_rashi_ingress":"Makara"},"precedence":1,"sources":["Mahābhārata Bhīṣma-Stuti","Sūrya-Siddhānta"]},{"id":"pongal","name":"Pongal / Thai Pongal","name_sanskrit":"पोङ्गल","tradition":"Regional","associated_deity":"Sūrya Bhagavān","significance":"Tamil 4-day harvest festival; coincides with Makara Saṅkrānti.","vrata":false,"detection":{"sun_rashi_ingress":"Makara"},"precedence":2}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Dedicated festival walk for Makara Saṅkrānti (Uttarāyaṇa) · Pongal / Thai Pongal is not live yet; Ravivāra (Sunday) — 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 14, 2029 CE · Mathurā · Vidhyamitra","description":"January 14, 2029 CE for Mathurā: Kṛṣṇa Amāvasyā, sūryodaya 07:11, sūryāsta 17:46.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2029-01-14","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2029-01-14","sa":"https://sa.vidhyamitra.com/city/mathura/2029-01-14","hi":"https://hi.vidhyamitra.com/city/mathura/2029-01-14","x-default":"https://vidhyamitra.com/city/mathura/2029-01-14"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-11T20:12:23.189Z","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":"2026-09-11T20:12:23.189Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-11T20:12:23.189Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}