{"id":"vidhyamitra:city-day:mathura:2047-01-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2047-01-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2047-01-03","date_display":"January 3, 2047 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":2047,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468713.770833,"kali_year":5148,"ahargana":1880248.2708,"sun":{"sidereal_longitude":257.7167,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":335.7415,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":78.0249,"elapsed_within_tithi_degrees":6.0249},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1,"moon_longitude":335.7415,"elapsed_within_degrees":2.4082},"yoga":{"number":18,"name":"Varīyān","sum_longitude":233.4582},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"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":2047,"month":1,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468713.770833,"ahargana":1880248.2708,"kali_year":5148,"ayanamsa_lahiri":24.5096,"grahas":{"sun":{"sidereal_longitude":258.0493369999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":335.120137,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false,"latitude":3.9095},"mars":{"sidereal_longitude":301.536737,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":261.529937,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":346.079837,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":276.784137,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":242.22843699999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":275.3982,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":95.3982,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","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":"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":2047,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468713.770833,"kali_year":5148,"ahargana":1880248.2708,"sun":{"sidereal_longitude":257.7167,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":335.7415,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":78.0249,"elapsed_within_tithi_degrees":6.0249},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1,"moon_longitude":335.7415,"elapsed_within_degrees":2.4082},"yoga":{"number":18,"name":"Varīyān","sum_longitude":233.4582},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.91,"elongation":78.025},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.91,"opposition_distance":101.975}},"eclipse_window_40days":[{"offset_days":9,"type":"lunar","occurs":true,"moon_latitude":0.731,"opposition_distance":1.398}]},"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":10.450531917652421,"dayLengthDisplay":"10 Hours 27 Mins 02 Secs","nightLengthDisplay":"13 Hours 32 Mins 58 Secs","moonriseLocal":"11:30","moonsetLocal":"23:35","rahuKala":{"name":"Rāhu Kāla","start":"13:42","end":"15:01","startHours":13.70456017021752,"endHours":15.010876659924074,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:10","end":"08:29","startHours":7.172977721684758,"endHours":8.479294211391311,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:47","end":"11:06","startHours":9.785610701097863,"endHours":11.091927190804416,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:37","end":"09:58","startHours":9.611435169136989,"endHours":9.959786233058736,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:53","startHours":7.6084165515869415,"endHours":7.887097402724339,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:45","startHours":12.049892616589222,"endHours":12.746594744432716,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.7795734659977684,"endHours":6.476275593841263,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:10","startHours":6.302100061880389,"endHours":7.172977721684758,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:08","end":"14:50","startHours":14.139999000119705,"endHours":14.836701127963199,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:25","end":"17:49","startHours":17.42350963933718,"endHours":17.82350963933718,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:37","end":"18:04","startHours":17.62350963933718,"endHours":18.058948469239365,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:22","end":"19:07","startHours":17.37350963933718,"endHours":19.12350963933718,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:45","startHours":24.049892616589222,"endHours":24.746594744432716,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:10","end":"08:29","startHours":7.172977721684758,"endHours":8.479294211391311,"quality":"auspicious"},{"name":"Roga","start":"08:29","end":"09:47","startHours":8.479294211391311,"endHours":9.785610701097863,"quality":"inauspicious"},{"name":"Udveg","start":"09:47","end":"11:06","startHours":9.785610701097863,"endHours":11.091927190804416,"quality":"inauspicious"},{"name":"Chala","start":"11:06","end":"12:24","startHours":11.091927190804416,"endHours":12.39824368051097,"quality":"neutral"},{"name":"Labha","start":"12:24","end":"13:42","startHours":12.39824368051097,"endHours":13.70456017021752,"quality":"auspicious"},{"name":"Amṛta","start":"13:42","end":"15:01","startHours":13.70456017021752,"endHours":15.010876659924074,"quality":"auspicious"},{"name":"Kāla","start":"15:01","end":"16:19","startHours":15.010876659924074,"endHours":16.317193149630626,"quality":"inauspicious"},{"name":"Śubha","start":"16:19","end":"17:37","startHours":16.317193149630626,"endHours":17.62350963933718,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:37","end":"19:19","startHours":17.62350963933718,"endHours":19.317193149630626,"quality":"auspicious"},{"name":"Kāla","start":"19:19","end":"21:01","startHours":19.317193149630626,"endHours":21.010876659924072,"quality":"inauspicious"},{"name":"Śubha","start":"21:01","end":"22:42","startHours":21.010876659924072,"endHours":22.70456017021752,"quality":"auspicious"},{"name":"Roga","start":"22:42","end":"00:24","startHours":22.70456017021752,"endHours":24.39824368051097,"quality":"inauspicious"},{"name":"Udveg","start":"00:24","end":"02:06","startHours":24.39824368051097,"endHours":26.091927190804416,"quality":"inauspicious"},{"name":"Chala","start":"02:06","end":"03:47","startHours":26.091927190804416,"endHours":27.785610701097863,"quality":"neutral"},{"name":"Labha","start":"03:47","end":"05:29","startHours":27.785610701097863,"endHours":29.479294211391313,"quality":"auspicious"},{"name":"Amṛta","start":"05:29","end":"07:10","startHours":29.479294211391313,"endHours":31.17297772168476,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:10","end":"08:10","startHours":7.172977721684758,"endHours":8.172977721684758,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:10","end":"09:10","startHours":8.172977721684758,"endHours":9.172977721684758,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:10","end":"10:10","startHours":9.172977721684758,"endHours":10.172977721684758,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:10","end":"11:10","startHours":10.172977721684758,"endHours":11.172977721684758,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:10","end":"12:10","startHours":11.172977721684758,"endHours":12.172977721684758,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:10","end":"13:10","startHours":12.172977721684758,"endHours":13.172977721684758,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:10","end":"14:10","startHours":13.172977721684758,"endHours":14.172977721684758,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:10","end":"15:10","startHours":14.172977721684758,"endHours":15.172977721684758,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:10","end":"16:10","startHours":15.172977721684758,"endHours":16.17297772168476,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:10","end":"17:10","startHours":16.17297772168476,"endHours":17.17297772168476,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:10","end":"18:10","startHours":17.17297772168476,"endHours":18.17297772168476,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:10","end":"19:10","startHours":18.17297772168476,"endHours":19.17297772168476,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:10","end":"20:10","startHours":19.17297772168476,"endHours":20.17297772168476,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:10","end":"21:10","startHours":20.17297772168476,"endHours":21.17297772168476,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:10","end":"22:10","startHours":21.17297772168476,"endHours":22.17297772168476,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:10","end":"23:10","startHours":22.17297772168476,"endHours":23.17297772168476,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:10","end":"00:10","startHours":23.17297772168476,"endHours":24.17297772168476,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:10","end":"01:10","startHours":24.17297772168476,"endHours":25.17297772168476,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:10","end":"02:10","startHours":25.17297772168476,"endHours":26.17297772168476,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:10","end":"03:10","startHours":26.17297772168476,"endHours":27.17297772168476,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:10","end":"04:10","startHours":27.17297772168476,"endHours":28.17297772168476,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:10","end":"05:10","startHours":28.17297772168476,"endHours":29.17297772168476,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:10","end":"06:10","startHours":29.17297772168476,"endHours":30.17297772168476,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:10","end":"07:10","startHours":30.17297772168476,"endHours":31.17297772168476,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-West","rahuVasa":"North-West","anandadiYoga":{"name":"Padma","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":-22.843530300971445,"eotMinutes":-4.589420830658165,"ayanamsa":24.5096}},"calendars":{"vikram_samvat":2104,"vikram_samvatsara":"Vikrama","saka_samvat":1969,"saka_samvatsara":"Prabhava","bengali_samvat":1454,"malayalam_era":1223,"nanakshahi_year":578,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Saptamī · Vikram 2104 Vikrama · Śaka 1969 Prabhava"},"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":"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 3, 2047 CE · Mathurā · Vidhyamitra","description":"January 3, 2047 CE for Mathurā: Śukla Saptamī, sūryodaya 07:10, sūryāsta 17:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2047-01-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2047-01-03","sa":"https://sa.vidhyamitra.com/city/mathura/2047-01-03","hi":"https://hi.vidhyamitra.com/city/mathura/2047-01-03","x-default":"https://vidhyamitra.com/city/mathura/2047-01-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:45:50.064Z","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":"2026-05-14T14:45:50.064Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:45:50.064Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}