{"id":"vidhyamitra:city-day:mathura:2049-01-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2049-01-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2049-01-18","date_display":"January 18, 2049 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":2049,"month":1,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469459.770833,"kali_year":5150,"ahargana":1880994.2708,"sun":{"sidereal_longitude":273.6247,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":82.0465,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":168.4219,"elapsed_within_tithi_degrees":0.4219},"nakshatra":{"number":7,"name":"Punarvasu","pada":1,"moon_longitude":82.0465,"elapsed_within_degrees":2.0465},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":355.6712},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"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":2049,"month":1,"day":18,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2469459.770833,"ahargana":1880994.2708,"kali_year":5150,"ayanamsa_lahiri":24.5382,"grahas":{"sun":{"sidereal_longitude":273.8288339999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":82.24373400000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false,"latitude":-1.9834},"mars":{"sidereal_longitude":331.472434,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":260.044634,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":57.27063399999997,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":319.46733399999994,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":264.20363399999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":235.8716,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":55.8716,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","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":2049,"month":1,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469459.770833,"kali_year":5150,"ahargana":1880994.2708,"sun":{"sidereal_longitude":273.6247,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":82.0465,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":168.4219,"elapsed_within_tithi_degrees":0.4219},"nakshatra":{"number":7,"name":"Punarvasu","pada":1,"moon_longitude":82.0465,"elapsed_within_degrees":2.0465},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":355.6712},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.983,"elongation":168.422},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.983,"opposition_distance":11.578}},"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":"17:49","solarNoonLocal":"12:30","dayLengthHours":10.64123419485393,"dayLengthDisplay":"10 Hours 38 Mins 28 Secs","nightLengthDisplay":"13 Hours 21 Mins 32 Secs","moonriseLocal":"16:51","moonsetLocal":"06:36","rahuKala":{"name":"Rāhu Kāla","start":"08:30","end":"09:50","startHours":8.503777669957937,"endHours":9.833931944314678,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:10","end":"12:30","startHours":11.16408621867142,"endHours":12.494240493028162,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:49","end":"15:09","startHours":13.824394767384902,"endHours":15.154549041741642,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:01","startHours":9.656578041067114,"endHours":10.011285847562243,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:54","startHours":7.61700815372011,"endHours":7.900774398916215,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:08","end":"12:51","startHours":12.13953268653303,"endHours":12.848948299523293,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:45","end":"06:28","startHours":5.754792169620672,"endHours":6.464207782610934,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:17","end":"07:10","startHours":6.286853879363369,"endHours":7.173623395601196,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:16","end":"14:59","startHours":14.267779525503816,"endHours":14.977195138494077,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:37","end":"18:01","startHours":17.614857590455127,"endHours":18.014857590455126,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:49","end":"18:15","startHours":17.814857590455127,"endHours":18.25824234857404,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:34","end":"19:19","startHours":17.564857590455127,"endHours":19.314857590455127,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:08","end":"00:51","startHours":24.13953268653303,"endHours":24.848948299523293,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:10","end":"08:30","startHours":7.173623395601196,"endHours":8.503777669957937,"quality":"auspicious"},{"name":"Kāla","start":"08:30","end":"09:50","startHours":8.503777669957937,"endHours":9.833931944314678,"quality":"inauspicious"},{"name":"Śubha","start":"09:50","end":"11:10","startHours":9.833931944314678,"endHours":11.16408621867142,"quality":"auspicious"},{"name":"Roga","start":"11:10","end":"12:30","startHours":11.16408621867142,"endHours":12.494240493028162,"quality":"inauspicious"},{"name":"Udveg","start":"12:30","end":"13:49","startHours":12.494240493028162,"endHours":13.824394767384902,"quality":"inauspicious"},{"name":"Chala","start":"13:49","end":"15:09","startHours":13.824394767384902,"endHours":15.154549041741642,"quality":"neutral"},{"name":"Labha","start":"15:09","end":"16:29","startHours":15.154549041741642,"endHours":16.484703316098386,"quality":"auspicious"},{"name":"Amṛta","start":"16:29","end":"17:49","startHours":16.484703316098386,"endHours":17.814857590455127,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:49","end":"19:29","startHours":17.814857590455127,"endHours":19.484703316098386,"quality":"neutral"},{"name":"Labha","start":"19:29","end":"21:09","startHours":19.484703316098386,"endHours":21.154549041741646,"quality":"auspicious"},{"name":"Amṛta","start":"21:09","end":"22:49","startHours":21.154549041741646,"endHours":22.824394767384902,"quality":"auspicious"},{"name":"Kāla","start":"22:49","end":"00:30","startHours":22.824394767384902,"endHours":24.494240493028162,"quality":"inauspicious"},{"name":"Śubha","start":"00:30","end":"02:10","startHours":24.494240493028162,"endHours":26.16408621867142,"quality":"auspicious"},{"name":"Roga","start":"02:10","end":"03:50","startHours":26.16408621867142,"endHours":27.833931944314678,"quality":"inauspicious"},{"name":"Udveg","start":"03:50","end":"05:30","startHours":27.833931944314678,"endHours":29.503777669957937,"quality":"inauspicious"},{"name":"Chala","start":"05:30","end":"07:10","startHours":29.503777669957937,"endHours":31.173623395601197,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:10","end":"08:10","startHours":7.173623395601196,"endHours":8.173623395601197,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:10","end":"09:10","startHours":8.173623395601197,"endHours":9.173623395601197,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:10","end":"10:10","startHours":9.173623395601197,"endHours":10.173623395601197,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:10","end":"11:10","startHours":10.173623395601197,"endHours":11.173623395601197,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:10","end":"12:10","startHours":11.173623395601197,"endHours":12.173623395601197,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:10","end":"13:10","startHours":12.173623395601197,"endHours":13.173623395601197,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:10","end":"14:10","startHours":13.173623395601197,"endHours":14.173623395601197,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:10","end":"15:10","startHours":14.173623395601197,"endHours":15.173623395601197,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:10","end":"16:10","startHours":15.173623395601197,"endHours":16.173623395601197,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:10","end":"17:10","startHours":16.173623395601197,"endHours":17.173623395601197,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:10","end":"18:10","startHours":17.173623395601197,"endHours":18.173623395601197,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:10","end":"19:10","startHours":18.173623395601197,"endHours":19.173623395601197,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:10","end":"20:10","startHours":19.173623395601197,"endHours":20.173623395601197,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:10","end":"21:10","startHours":20.173623395601197,"endHours":21.173623395601197,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:10","end":"22:10","startHours":21.173623395601197,"endHours":22.173623395601197,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:10","end":"23:10","startHours":22.173623395601197,"endHours":23.173623395601197,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:10","end":"00:10","startHours":23.173623395601197,"endHours":24.173623395601197,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:10","end":"01:10","startHours":24.173623395601197,"endHours":25.173623395601197,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:10","end":"02:10","startHours":25.173623395601197,"endHours":26.173623395601197,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:10","end":"03:10","startHours":26.173623395601197,"endHours":27.173623395601197,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:10","end":"04:10","startHours":27.173623395601197,"endHours":28.173623395601197,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:10","end":"05:10","startHours":28.173623395601197,"endHours":29.173623395601197,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:10","end":"06:10","startHours":29.173623395601197,"endHours":30.173623395601197,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:10","end":"07:10","startHours":30.173623395601197,"endHours":31.173623395601197,"planetary_lord":"Venus"}],"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","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Chatra","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-20.48569894179468,"eotMinutes":-10.349229581689698,"ayanamsa":24.5382}},"calendars":{"vikram_samvat":2106,"vikram_samvatsara":"Citrabhānu","saka_samvat":1971,"saka_samvatsara":"Śukla","bengali_samvat":1456,"malayalam_era":1225,"nanakshahi_year":580,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Pūrṇimā · Vikram 2106 Citrabhānu · Śaka 1971 Śukla"},"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":"magha-purnima","name":"Māghī Pūrṇimā","name_sanskrit":"माघी पूर्णिमा","tradition":"Pan-Hindu","significance":"Sacred snāna at Prayāga; Māgha-snāna culmination.","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Māgha"},"precedence":2},{"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":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Śukla Pūrṇimā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Punarvasu","url":"/day/-1626101-04-03","relevance":0.5},{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Śukla Pūrṇimā","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 18, 2049 CE · Mathurā · Vidhyamitra","description":"January 18, 2049 CE for Mathurā: Śukla Pūrṇimā, sūryodaya 07:10, sūryāsta 17:49.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2049-01-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2049-01-18","sa":"https://sa.vidhyamitra.com/city/mathura/2049-01-18","hi":"https://hi.vidhyamitra.com/city/mathura/2049-01-18","x-default":"https://vidhyamitra.com/city/mathura/2049-01-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:47:13.801Z","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":"2026-05-14T14:47:13.801Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:47:13.801Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}