{"id":"vidhyamitra:city-day:mathura:2046-01-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2046-01-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2046-01-03","date_display":"January 3, 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":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468348.770833,"kali_year":5147,"ahargana":1879883.2708,"sun":{"sidereal_longitude":257.9827,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":208.4538,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":310.4711,"elapsed_within_tithi_degrees":10.4711},"nakshatra":{"number":16,"name":"Viśākhā","pada":3,"moon_longitude":208.4538,"elapsed_within_degrees":8.4538},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":106.4365},"karana":{"half_tithi_index":51,"name":"Bālava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468348.770833,"ahargana":1879883.2708,"kali_year":5147,"ayanamsa_lahiri":24.4957,"grahas":{"sun":{"sidereal_longitude":258.31018300000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":209.57548299999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false,"latitude":-4.4905},"mars":{"sidereal_longitude":171.85198300000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":249.86008300000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":314.76938300000006,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":255.16938300000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":true},"saturn":{"sidereal_longitude":232.13908300000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":294.7377,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":114.7377,"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":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468348.770833,"kali_year":5147,"ahargana":1879883.2708,"sun":{"sidereal_longitude":257.9827,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":208.4538,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":310.4711,"elapsed_within_tithi_degrees":10.4711},"nakshatra":{"number":16,"name":"Viśākhā","pada":3,"moon_longitude":208.4538,"elapsed_within_degrees":8.4538},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":106.4365},"karana":{"half_tithi_index":51,"name":"Bālava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.491,"elongation":49.529},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.491,"opposition_distance":130.471}},"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":10.45245919120213,"dayLengthDisplay":"10 Hours 27 Mins 09 Secs","nightLengthDisplay":"13 Hours 32 Mins 51 Secs","moonriseLocal":"03:47","moonsetLocal":"14:31","rahuKala":{"name":"Rāhu Kāla","start":"12:24","end":"13:42","startHours":12.39824368051097,"endHours":13.704801079411235,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:29","end":"09:47","startHours":8.47857148381017,"endHours":9.785128882710435,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:06","end":"12:24","startHours":11.091686281610702,"endHours":12.39824368051097,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:37","end":"09:58","startHours":9.610921229523733,"endHours":9.959336535897137,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:36","end":"07:53","startHours":7.607533217876658,"endHours":7.8862654629753814,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:45","startHours":12.049828374137565,"endHours":12.746658986884373,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.778352859416286,"endHours":6.475183472163094,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:10","startHours":6.300975818976392,"endHours":7.172014084909903,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:08","end":"14:50","startHours":14.14032021237799,"endHours":14.837150825124798,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:25","end":"17:49","startHours":17.424473276112035,"endHours":17.824473276112034,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:37","end":"18:04","startHours":17.624473276112035,"endHours":18.05999240907879,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:22","end":"19:07","startHours":17.374473276112035,"endHours":19.124473276112035,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:45","startHours":24.049828374137565,"endHours":24.746658986884373,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:10","end":"08:29","startHours":7.172014084909903,"endHours":8.47857148381017,"quality":"auspicious"},{"name":"Amṛta","start":"08:29","end":"09:47","startHours":8.47857148381017,"endHours":9.785128882710435,"quality":"auspicious"},{"name":"Kāla","start":"09:47","end":"11:06","startHours":9.785128882710435,"endHours":11.091686281610702,"quality":"inauspicious"},{"name":"Śubha","start":"11:06","end":"12:24","startHours":11.091686281610702,"endHours":12.39824368051097,"quality":"auspicious"},{"name":"Roga","start":"12:24","end":"13:42","startHours":12.39824368051097,"endHours":13.704801079411235,"quality":"inauspicious"},{"name":"Udveg","start":"13:42","end":"15:01","startHours":13.704801079411235,"endHours":15.0113584783115,"quality":"inauspicious"},{"name":"Chala","start":"15:01","end":"16:19","startHours":15.0113584783115,"endHours":16.317915877211767,"quality":"neutral"},{"name":"Labha","start":"16:19","end":"17:37","startHours":16.317915877211767,"endHours":17.624473276112035,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:37","end":"19:19","startHours":17.624473276112035,"endHours":19.317915877211767,"quality":"inauspicious"},{"name":"Chala","start":"19:19","end":"21:01","startHours":19.317915877211767,"endHours":21.0113584783115,"quality":"neutral"},{"name":"Labha","start":"21:01","end":"22:42","startHours":21.0113584783115,"endHours":22.704801079411236,"quality":"auspicious"},{"name":"Amṛta","start":"22:42","end":"00:24","startHours":22.704801079411236,"endHours":24.39824368051097,"quality":"auspicious"},{"name":"Kāla","start":"00:24","end":"02:06","startHours":24.39824368051097,"endHours":26.091686281610702,"quality":"inauspicious"},{"name":"Śubha","start":"02:06","end":"03:47","startHours":26.091686281610702,"endHours":27.78512888271044,"quality":"auspicious"},{"name":"Roga","start":"03:47","end":"05:29","startHours":27.78512888271044,"endHours":29.47857148381017,"quality":"inauspicious"},{"name":"Udveg","start":"05:29","end":"07:10","startHours":29.47857148381017,"endHours":31.172014084909904,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:10","end":"08:10","startHours":7.172014084909903,"endHours":8.172014084909904,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:10","end":"09:10","startHours":8.172014084909904,"endHours":9.172014084909904,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:10","end":"10:10","startHours":9.172014084909904,"endHours":10.172014084909904,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:10","end":"11:10","startHours":10.172014084909904,"endHours":11.172014084909904,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:10","end":"12:10","startHours":11.172014084909904,"endHours":12.172014084909904,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:10","end":"13:10","startHours":12.172014084909904,"endHours":13.172014084909904,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:10","end":"14:10","startHours":13.172014084909904,"endHours":14.172014084909904,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:10","end":"15:10","startHours":14.172014084909904,"endHours":15.172014084909904,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:10","end":"16:10","startHours":15.172014084909904,"endHours":16.172014084909904,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:10","end":"17:10","startHours":16.172014084909904,"endHours":17.172014084909904,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:10","end":"18:10","startHours":17.172014084909904,"endHours":18.172014084909904,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:10","end":"19:10","startHours":18.172014084909904,"endHours":19.172014084909904,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:10","end":"20:10","startHours":19.172014084909904,"endHours":20.172014084909904,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:10","end":"21:10","startHours":20.172014084909904,"endHours":21.172014084909904,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:10","end":"22:10","startHours":21.172014084909904,"endHours":22.172014084909904,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:10","end":"23:10","startHours":22.172014084909904,"endHours":23.172014084909904,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:10","end":"00:10","startHours":23.172014084909904,"endHours":24.172014084909904,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:10","end":"01:10","startHours":24.172014084909904,"endHours":25.172014084909904,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:10","end":"02:10","startHours":25.172014084909904,"endHours":26.172014084909904,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:10","end":"03:10","startHours":26.172014084909904,"endHours":27.172014084909904,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:10","end":"04:10","startHours":27.172014084909904,"endHours":28.172014084909904,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:10","end":"05:10","startHours":28.172014084909904,"endHours":29.172014084909904,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:10","end":"06:10","startHours":29.172014084909904,"endHours":30.172014084909904,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:10","end":"07:10","startHours":30.172014084909904,"endHours":31.172014084909904,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"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":"North (Uttara)","chandraVasa":"North","rahuVasa":"South-West","anandadiYoga":{"name":"Dhātṛ","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":-22.82013359777536,"eotMinutes":-4.589420830658165,"ayanamsa":24.4957}},"calendars":{"vikram_samvat":2103,"vikram_samvatsara":"Pramāthi","saka_samvat":1968,"saka_samvatsara":"Akṣaya","bengali_samvat":1453,"malayalam_era":1222,"nanakshahi_year":577,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Ekādaśī · Vikram 2103 Pramāthi · Śaka 1968 Akṣaya"},"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":"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},{"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":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Viśākhā","url":"/day/-0562-04-11","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, 2046 CE · Mathurā · Vidhyamitra","description":"January 3, 2046 CE for Mathurā: Kṛṣṇa Ekādaśī, sūryodaya 07:10, sūryāsta 17:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2046-01-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2046-01-03","sa":"https://sa.vidhyamitra.com/city/mathura/2046-01-03","hi":"https://hi.vidhyamitra.com/city/mathura/2046-01-03","x-default":"https://vidhyamitra.com/city/mathura/2046-01-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T17:22:49.811Z","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":"2026-05-14T17:22:49.811Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T17:22:49.811Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}