{"id":"vidhyamitra:city-day:mathura:2046-01-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2046-01-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2046-01-29","date_display":"January 29, 2046 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":2046,"month":1,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468374.770833,"kali_year":5147,"ahargana":1879909.2708,"sun":{"sidereal_longitude":284.6682,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":189.7585,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":265.0902,"elapsed_within_tithi_degrees":1.0902},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":189.7585,"elapsed_within_degrees":3.0918},"yoga":{"number":9,"name":"Śūla","sum_longitude":114.4267},"karana":{"half_tithi_index":44,"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":2046,"month":1,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468374.770833,"ahargana":1879909.2708,"kali_year":5147,"ayanamsa_lahiri":24.4967,"grahas":{"sun":{"sidereal_longitude":284.781789,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"moon":{"sidereal_longitude":193.074789,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false,"latitude":-4.3735},"mars":{"sidereal_longitude":182.71148900000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":292.936789,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":320.03468899999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":249.37248899999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":234.781789,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":293.3601,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":113.3601,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":2046,"month":1,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468374.770833,"kali_year":5147,"ahargana":1879909.2708,"sun":{"sidereal_longitude":284.6682,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":189.7585,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":265.0902,"elapsed_within_tithi_degrees":1.0902},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":189.7585,"elapsed_within_degrees":3.0918},"yoga":{"number":9,"name":"Śūla","sum_longitude":114.4267},"karana":{"half_tithi_index":44,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.374,"elongation":94.91},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.374,"opposition_distance":85.09}},"eclipse_window_40days":[{"offset_days":8,"type":"solar","occurs":true,"moon_latitude":0.166,"elongation":2.206}]},"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":10.84068419234763,"dayLengthDisplay":"10 Hours 50 Mins 26 Secs","nightLengthDisplay":"13 Hours 09 Mins 34 Secs","moonriseLocal":"00:53","moonsetLocal":"11:58","rahuKala":{"name":"Rāhu Kāla","start":"08:29","end":"09:50","startHours":8.476032127414875,"endHours":9.831117651458328,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:11","end":"12:32","startHours":11.186203175501783,"endHours":12.541288699545238,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:54","end":"15:15","startHours":13.89637422358869,"endHours":15.251459747632143,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:01","startHours":9.650439581585868,"endHours":10.01179572133079,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:34","end":"07:52","startHours":7.5726417780525725,"endHours":7.861726689848509,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:11","end":"12:54","startHours":12.179932559800317,"endHours":12.902644839290158,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:41","end":"06:24","startHours":5.675522044391737,"endHours":6.398234323881579,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:13","end":"07:07","startHours":6.217556254009119,"endHours":7.120946603371421,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:21","end":"15:04","startHours":14.348069398269843,"endHours":15.070781677759685,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:46","end":"18:10","startHours":17.761630795719054,"endHours":18.161630795719052,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:58","end":"18:25","startHours":17.961630795719053,"endHours":18.413325970400205,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:43","end":"19:28","startHours":17.711630795719053,"endHours":19.461630795719053,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:11","end":"00:54","startHours":24.179932559800317,"endHours":24.902644839290158,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:07","end":"08:29","startHours":7.120946603371421,"endHours":8.476032127414875,"quality":"auspicious"},{"name":"Kāla","start":"08:29","end":"09:50","startHours":8.476032127414875,"endHours":9.831117651458328,"quality":"inauspicious"},{"name":"Śubha","start":"09:50","end":"11:11","startHours":9.831117651458328,"endHours":11.186203175501783,"quality":"auspicious"},{"name":"Roga","start":"11:11","end":"12:32","startHours":11.186203175501783,"endHours":12.541288699545238,"quality":"inauspicious"},{"name":"Udveg","start":"12:32","end":"13:54","startHours":12.541288699545238,"endHours":13.89637422358869,"quality":"inauspicious"},{"name":"Chala","start":"13:54","end":"15:15","startHours":13.89637422358869,"endHours":15.251459747632143,"quality":"neutral"},{"name":"Labha","start":"15:15","end":"16:36","startHours":15.251459747632143,"endHours":16.6065452716756,"quality":"auspicious"},{"name":"Amṛta","start":"16:36","end":"17:58","startHours":16.6065452716756,"endHours":17.961630795719053,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:58","end":"19:36","startHours":17.961630795719053,"endHours":19.6065452716756,"quality":"neutral"},{"name":"Labha","start":"19:36","end":"21:15","startHours":19.6065452716756,"endHours":21.251459747632147,"quality":"auspicious"},{"name":"Amṛta","start":"21:15","end":"22:54","startHours":21.251459747632147,"endHours":22.89637422358869,"quality":"auspicious"},{"name":"Kāla","start":"22:54","end":"00:32","startHours":22.89637422358869,"endHours":24.541288699545238,"quality":"inauspicious"},{"name":"Śubha","start":"00:32","end":"02:11","startHours":24.541288699545238,"endHours":26.186203175501785,"quality":"auspicious"},{"name":"Roga","start":"02:11","end":"03:50","startHours":26.186203175501785,"endHours":27.831117651458328,"quality":"inauspicious"},{"name":"Udveg","start":"03:50","end":"05:29","startHours":27.831117651458328,"endHours":29.476032127414875,"quality":"inauspicious"},{"name":"Chala","start":"05:29","end":"07:07","startHours":29.476032127414875,"endHours":31.120946603371422,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:07","end":"08:07","startHours":7.120946603371421,"endHours":8.120946603371422,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:07","end":"09:07","startHours":8.120946603371422,"endHours":9.120946603371422,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:07","end":"10:07","startHours":9.120946603371422,"endHours":10.120946603371422,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:07","end":"11:07","startHours":10.120946603371422,"endHours":11.120946603371422,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:07","end":"12:07","startHours":11.120946603371422,"endHours":12.120946603371422,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:07","end":"13:07","startHours":12.120946603371422,"endHours":13.120946603371422,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:07","end":"14:07","startHours":13.120946603371422,"endHours":14.120946603371422,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:07","end":"15:07","startHours":14.120946603371422,"endHours":15.120946603371422,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:07","end":"16:07","startHours":15.120946603371422,"endHours":16.120946603371422,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:07","end":"17:07","startHours":16.120946603371422,"endHours":17.120946603371422,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:07","end":"18:07","startHours":17.120946603371422,"endHours":18.120946603371422,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:07","end":"19:07","startHours":18.120946603371422,"endHours":19.120946603371422,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:07","end":"20:07","startHours":19.120946603371422,"endHours":20.120946603371422,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:07","end":"21:07","startHours":20.120946603371422,"endHours":21.120946603371422,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:07","end":"22:07","startHours":21.120946603371422,"endHours":22.120946603371422,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:07","end":"23:07","startHours":22.120946603371422,"endHours":23.120946603371422,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:07","end":"00:07","startHours":23.120946603371422,"endHours":24.120946603371422,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:07","end":"01:07","startHours":24.120946603371422,"endHours":25.120946603371422,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:07","end":"02:07","startHours":25.120946603371422,"endHours":26.120946603371422,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:07","end":"03:07","startHours":26.120946603371422,"endHours":27.120946603371422,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:07","end":"04:07","startHours":27.120946603371422,"endHours":28.120946603371422,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:07","end":"05:07","startHours":28.120946603371422,"endHours":29.120946603371422,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:07","end":"06:07","startHours":29.120946603371422,"endHours":30.120946603371422,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:07","end":"07:07","startHours":30.120946603371422,"endHours":31.120946603371422,"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","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"North","rahuVasa":"North-East","anandadiYoga":{"name":"Siddhi","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":-17.931270596213167,"eotMinutes":-13.172121972714217,"ayanamsa":24.4967}},"calendars":{"vikram_samvat":2103,"vikram_samvatsara":"Pramāthi","saka_samvat":1968,"saka_samvatsara":"Akṣaya","bengali_samvat":1453,"malayalam_era":1222,"nanakshahi_year":577,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Aṣṭamī · Vikram 2103 Pramāthi · Śaka 1968 Akṣaya"},"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}],"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":[{"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 29, 2046 CE · Mathurā · Vidhyamitra","description":"January 29, 2046 CE for Mathurā: Kṛṣṇa Aṣṭamī, sūryodaya 07:07, sūryāsta 17:58.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2046-01-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2046-01-29","sa":"https://sa.vidhyamitra.com/city/mathura/2046-01-29","hi":"https://hi.vidhyamitra.com/city/mathura/2046-01-29","x-default":"https://vidhyamitra.com/city/mathura/2046-01-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T18:28:34.945Z","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":"2026-05-14T18:28:34.945Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T18:28:34.945Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}