{"id":"vidhyamitra:city-day:mathura:2026-01-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2026-01-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2026-01-29","date_display":"January 29, 2026 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":2026,"month":1,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2461069.770833,"kali_year":5127,"ahargana":1872604.2708,"sun":{"sidereal_longitude":284.8474,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":54.675,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":129.8276,"elapsed_within_tithi_degrees":9.8276},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":54.675,"elapsed_within_degrees":1.3417},"yoga":{"number":26,"name":"Indra","sum_longitude":339.5224},"karana":{"half_tithi_index":21,"name":"Viṣṭi"},"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":2026,"month":1,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2461069.770833,"ahargana":1872604.2708,"kali_year":5127,"ayanamsa_lahiri":24.2173,"grahas":{"sun":{"sidereal_longitude":284.913894,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"moon":{"sidereal_longitude":52.651094,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false,"latitude":4.4875},"mars":{"sidereal_longitude":279.802494,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":289.72129399999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":83.32849399999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":true},"venus":{"sidereal_longitude":289.90249399999993,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":334.2249939999999,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":320.4141,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":140.4141,"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":2026,"month":1,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2461069.770833,"kali_year":5127,"ahargana":1872604.2708,"sun":{"sidereal_longitude":284.8474,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":54.675,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":129.8276,"elapsed_within_tithi_degrees":9.8276},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":54.675,"elapsed_within_degrees":1.3417},"yoga":{"number":26,"name":"Indra","sum_longitude":339.5224},"karana":{"half_tithi_index":21,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.488,"elongation":129.828},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.488,"opposition_distance":50.172}},"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":"07:07","sunsetLocal":"17:58","solarNoonLocal":"12:32","dayLengthHours":10.837694333807448,"dayLengthDisplay":"10 Hours 50 Mins 16 Secs","nightLengthDisplay":"13 Hours 09 Mins 44 Secs","moonriseLocal":"14:10","moonsetLocal":"03:57","rahuKala":{"name":"Rāhu Kāla","start":"13:54","end":"15:15","startHours":13.896000491271167,"endHours":15.2507122829971,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:07","end":"08:29","startHours":7.1224415326415125,"endHours":8.477153324367443,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:50","end":"11:11","startHours":9.831865116093375,"endHours":11.186576907819305,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:01","startHours":9.651236877196585,"endHours":10.012493354990166,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:34","end":"07:52","startHours":7.5740121298834895,"endHours":7.863017312118354,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:11","end":"12:54","startHours":12.180032221751656,"endHours":12.90254517733882,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:41","end":"06:24","startHours":5.677415621467186,"endHours":6.399928577054349,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:13","end":"07:07","startHours":6.2193003381575584,"endHours":7.1224415326415125,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:21","end":"15:04","startHours":14.347571088513146,"endHours":15.070084044100309,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:46","end":"18:10","startHours":17.760135866448962,"endHours":18.16013586644896,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:58","end":"18:25","startHours":17.96013586644896,"endHours":18.41170646369094,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:43","end":"19:28","startHours":17.71013586644896,"endHours":19.46013586644896,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:11","end":"00:54","startHours":24.180032221751656,"endHours":24.90254517733882,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:07","end":"08:29","startHours":7.1224415326415125,"endHours":8.477153324367443,"quality":"auspicious"},{"name":"Roga","start":"08:29","end":"09:50","startHours":8.477153324367443,"endHours":9.831865116093375,"quality":"inauspicious"},{"name":"Udveg","start":"09:50","end":"11:11","startHours":9.831865116093375,"endHours":11.186576907819305,"quality":"inauspicious"},{"name":"Chala","start":"11:11","end":"12:32","startHours":11.186576907819305,"endHours":12.541288699545238,"quality":"neutral"},{"name":"Labha","start":"12:32","end":"13:54","startHours":12.541288699545238,"endHours":13.896000491271167,"quality":"auspicious"},{"name":"Amṛta","start":"13:54","end":"15:15","startHours":13.896000491271167,"endHours":15.2507122829971,"quality":"auspicious"},{"name":"Kāla","start":"15:15","end":"16:36","startHours":15.2507122829971,"endHours":16.60542407472303,"quality":"inauspicious"},{"name":"Śubha","start":"16:36","end":"17:58","startHours":16.60542407472303,"endHours":17.96013586644896,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:58","end":"19:36","startHours":17.96013586644896,"endHours":19.605424074723032,"quality":"auspicious"},{"name":"Kāla","start":"19:36","end":"21:15","startHours":19.605424074723032,"endHours":21.2507122829971,"quality":"inauspicious"},{"name":"Śubha","start":"21:15","end":"22:54","startHours":21.2507122829971,"endHours":22.896000491271167,"quality":"auspicious"},{"name":"Roga","start":"22:54","end":"00:32","startHours":22.896000491271167,"endHours":24.541288699545238,"quality":"inauspicious"},{"name":"Udveg","start":"00:32","end":"02:11","startHours":24.541288699545238,"endHours":26.18657690781931,"quality":"inauspicious"},{"name":"Chala","start":"02:11","end":"03:50","startHours":26.18657690781931,"endHours":27.831865116093375,"quality":"neutral"},{"name":"Labha","start":"03:50","end":"05:29","startHours":27.831865116093375,"endHours":29.477153324367443,"quality":"auspicious"},{"name":"Amṛta","start":"05:29","end":"07:07","startHours":29.477153324367443,"endHours":31.122441532641513,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:07","end":"08:07","startHours":7.1224415326415125,"endHours":8.122441532641513,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:07","end":"09:07","startHours":8.122441532641513,"endHours":9.122441532641513,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:07","end":"10:07","startHours":9.122441532641513,"endHours":10.122441532641513,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:07","end":"11:07","startHours":10.122441532641513,"endHours":11.122441532641513,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:07","end":"12:07","startHours":11.122441532641513,"endHours":12.122441532641513,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:07","end":"13:07","startHours":12.122441532641513,"endHours":13.122441532641513,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:07","end":"14:07","startHours":13.122441532641513,"endHours":14.122441532641513,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:07","end":"15:07","startHours":14.122441532641513,"endHours":15.122441532641513,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:07","end":"16:07","startHours":15.122441532641513,"endHours":16.122441532641513,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:07","end":"17:07","startHours":16.122441532641513,"endHours":17.122441532641513,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:07","end":"18:07","startHours":17.122441532641513,"endHours":18.122441532641513,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:07","end":"19:07","startHours":18.122441532641513,"endHours":19.122441532641513,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:07","end":"20:07","startHours":19.122441532641513,"endHours":20.122441532641513,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:07","end":"21:07","startHours":20.122441532641513,"endHours":21.122441532641513,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:07","end":"22:07","startHours":21.122441532641513,"endHours":22.122441532641513,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:07","end":"23:07","startHours":22.122441532641513,"endHours":23.122441532641513,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:07","end":"00:07","startHours":23.122441532641513,"endHours":24.122441532641513,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:07","end":"01:07","startHours":24.122441532641513,"endHours":25.122441532641513,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:07","end":"02:07","startHours":25.122441532641513,"endHours":26.122441532641513,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:07","end":"03:07","startHours":26.122441532641513,"endHours":27.122441532641513,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:07","end":"04:07","startHours":27.122441532641513,"endHours":28.122441532641513,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:07","end":"05:07","startHours":28.122441532641513,"endHours":29.122441532641513,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:07","end":"06:07","startHours":29.122441532641513,"endHours":30.122441532641513,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:07","end":"07:07","startHours":30.122441532641513,"endHours":31.122441532641513,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"drikRitu":"Śiśira (Winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-17.970196047185024,"eotMinutes":-13.172121972714217,"ayanamsa":24.2173}},"calendars":{"vikram_samvat":2083,"vikram_samvatsara":"Siddhārthī","saka_samvat":1948,"saka_samvatsara":"Parābhava","bengali_samvat":1433,"malayalam_era":1202,"nanakshahi_year":557,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Ekādaśī · Vikram 2083 Siddhārthī · Śaka 1948 Parābhava"},"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":"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":"Makara"},"precedence":2},{"id":"jaya-ekadashi","name":"Jayā Ekādaśī","name_sanskrit":"जया एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Removes pretatva (ghost-state); grants victory.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Māgha"},"precedence":4},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"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":[]},"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 29, 2026 CE · Mathurā · Vidhyamitra","description":"January 29, 2026 CE for Mathurā: Śukla Ekādaśī, sūryodaya 07:07, sūryāsta 17:58.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2026-01-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2026-01-29","sa":"https://sa.vidhyamitra.com/city/mathura/2026-01-29","hi":"https://hi.vidhyamitra.com/city/mathura/2026-01-29","x-default":"https://vidhyamitra.com/city/mathura/2026-01-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T19:37:01.249Z","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":"2026-05-14T19:37:01.249Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T19:37:01.249Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}