{"id":"vidhyamitra:city-day:mathura:2049-01-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2049-01-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2049-01-04","date_display":"January 4, 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":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469445.770833,"kali_year":5150,"ahargana":1880980.2708,"sun":{"sidereal_longitude":259.2408,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":258.3743,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":359.1335,"elapsed_within_tithi_degrees":11.1335},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2,"moon_longitude":258.3743,"elapsed_within_degrees":5.041},"yoga":{"number":12,"name":"Dhruva","sum_longitude":157.6151},"karana":{"half_tithi_index":59,"name":"Nāga"},"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":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2469445.770833,"ahargana":1880980.2708,"kali_year":5150,"ayanamsa_lahiri":24.5376,"grahas":{"sun":{"sidereal_longitude":259.565069,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":258.74606900000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false,"latitude":1.6668},"mars":{"sidereal_longitude":321.08976899999993,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":274.254869,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":58.74536899999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":306.09066899999993,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":262.547869,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":236.6133,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":56.6133,"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":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469445.770833,"kali_year":5150,"ahargana":1880980.2708,"sun":{"sidereal_longitude":259.2408,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":258.3743,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":359.1335,"elapsed_within_tithi_degrees":11.1335},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2,"moon_longitude":258.3743,"elapsed_within_degrees":5.041},"yoga":{"number":12,"name":"Dhruva","sum_longitude":157.6151},"karana":{"half_tithi_index":59,"name":"Nāga"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.667,"elongation":0.867},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.667,"opposition_distance":179.133}},"eclipse_window_40days":[{"offset_days":-15,"type":"lunar","occurs":true,"moon_latitude":-0.379,"opposition_distance":1.575}]},"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":"17:38","solarNoonLocal":"12:24","dayLengthHours":10.46316509251647,"dayLengthDisplay":"10 Hours 27 Mins 47 Secs","nightLengthDisplay":"13 Hours 32 Mins 13 Secs","moonriseLocal":"07:09","moonsetLocal":"17:33","rahuKala":{"name":"Rāhu Kāla","start":"08:29","end":"09:47","startHours":8.481798204728761,"endHours":9.789693841293321,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:06","end":"12:24","startHours":11.097589477857879,"endHours":12.405485114422437,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:43","end":"15:01","startHours":13.713380750986996,"endHours":15.021276387551556,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:37","end":"09:58","startHours":9.615307756418046,"endHours":9.964079926168594,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:53","startHours":7.609867780352389,"endHours":7.888885516152828,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:45","startHours":12.056712944671888,"endHours":12.754257284172985,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.778813889162007,"endHours":6.476358228663105,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:10","startHours":6.301972143787831,"endHours":7.173902568164203,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:09","end":"14:51","startHours":14.149345963175183,"endHours":14.84689030267628,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:26","end":"17:50","startHours":17.437067660680672,"endHours":17.83706766068067,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:38","end":"18:04","startHours":17.63706766068067,"endHours":18.073032872868858,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:23","end":"19:08","startHours":17.38706766068067,"endHours":19.13706766068067,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:45","startHours":24.056712944671887,"endHours":24.754257284172986,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:10","end":"08:29","startHours":7.173902568164203,"endHours":8.481798204728761,"quality":"auspicious"},{"name":"Kāla","start":"08:29","end":"09:47","startHours":8.481798204728761,"endHours":9.789693841293321,"quality":"inauspicious"},{"name":"Śubha","start":"09:47","end":"11:06","startHours":9.789693841293321,"endHours":11.097589477857879,"quality":"auspicious"},{"name":"Roga","start":"11:06","end":"12:24","startHours":11.097589477857879,"endHours":12.405485114422437,"quality":"inauspicious"},{"name":"Udveg","start":"12:24","end":"13:43","startHours":12.405485114422437,"endHours":13.713380750986996,"quality":"inauspicious"},{"name":"Chala","start":"13:43","end":"15:01","startHours":13.713380750986996,"endHours":15.021276387551556,"quality":"neutral"},{"name":"Labha","start":"15:01","end":"16:20","startHours":15.021276387551556,"endHours":16.32917202411611,"quality":"auspicious"},{"name":"Amṛta","start":"16:20","end":"17:38","startHours":16.32917202411611,"endHours":17.63706766068067,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:38","end":"19:20","startHours":17.63706766068067,"endHours":19.32917202411611,"quality":"neutral"},{"name":"Labha","start":"19:20","end":"21:01","startHours":19.32917202411611,"endHours":21.021276387551552,"quality":"auspicious"},{"name":"Amṛta","start":"21:01","end":"22:43","startHours":21.021276387551552,"endHours":22.713380750986996,"quality":"auspicious"},{"name":"Kāla","start":"22:43","end":"00:24","startHours":22.713380750986996,"endHours":24.405485114422437,"quality":"inauspicious"},{"name":"Śubha","start":"00:24","end":"02:06","startHours":24.405485114422437,"endHours":26.097589477857877,"quality":"auspicious"},{"name":"Roga","start":"02:06","end":"03:47","startHours":26.097589477857877,"endHours":27.78969384129332,"quality":"inauspicious"},{"name":"Udveg","start":"03:47","end":"05:29","startHours":27.78969384129332,"endHours":29.48179820472876,"quality":"inauspicious"},{"name":"Chala","start":"05:29","end":"07:10","startHours":29.48179820472876,"endHours":31.173902568164202,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:10","end":"08:10","startHours":7.173902568164203,"endHours":8.173902568164202,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:10","end":"09:10","startHours":8.173902568164202,"endHours":9.173902568164202,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:10","end":"10:10","startHours":9.173902568164202,"endHours":10.173902568164202,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:10","end":"11:10","startHours":10.173902568164202,"endHours":11.173902568164202,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:10","end":"12:10","startHours":11.173902568164202,"endHours":12.173902568164202,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:10","end":"13:10","startHours":12.173902568164202,"endHours":13.173902568164202,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:10","end":"14:10","startHours":13.173902568164202,"endHours":14.173902568164202,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:10","end":"15:10","startHours":14.173902568164202,"endHours":15.173902568164202,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:10","end":"16:10","startHours":15.173902568164202,"endHours":16.173902568164202,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:10","end":"17:10","startHours":16.173902568164202,"endHours":17.173902568164202,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:10","end":"18:10","startHours":17.173902568164202,"endHours":18.173902568164202,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:10","end":"19:10","startHours":18.173902568164202,"endHours":19.173902568164202,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:10","end":"20:10","startHours":19.173902568164202,"endHours":20.173902568164202,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:10","end":"21:10","startHours":20.173902568164202,"endHours":21.173902568164202,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:10","end":"22:10","startHours":21.173902568164202,"endHours":22.173902568164202,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:10","end":"23:10","startHours":22.173902568164202,"endHours":23.173902568164202,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:10","end":"00:10","startHours":23.173902568164202,"endHours":24.173902568164202,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:10","end":"01:10","startHours":24.173902568164202,"endHours":25.173902568164202,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:10","end":"02:10","startHours":25.173902568164202,"endHours":26.173902568164202,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:10","end":"03:10","startHours":26.173902568164202,"endHours":27.173902568164202,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:10","end":"04:10","startHours":27.173902568164202,"endHours":28.173902568164202,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:10","end":"05:10","startHours":28.173902568164202,"endHours":29.173902568164202,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:10","end":"06:10","startHours":29.173902568164202,"endHours":30.173902568164202,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:10","end":"07:10","startHours":30.173902568164202,"endHours":31.173902568164202,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Mātaṇga","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":-22.69000288665877,"eotMinutes":-5.02390686534617,"ayanamsa":24.5376}},"calendars":{"vikram_samvat":2106,"vikram_samvatsara":"Citrabhānu","saka_samvat":1971,"saka_samvatsara":"Śukla","bengali_samvat":1456,"malayalam_era":1225,"nanakshahi_year":580,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Amāvasyā · Vikram 2106 Citrabhānu · Śaka 1971 Śukla"},"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":"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":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Kṛṣṇa Amāvasyā","url":"/day/-3137-10-20","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 4, 2049 CE · Mathurā · Vidhyamitra","description":"January 4, 2049 CE for Mathurā: Kṛṣṇa Amāvasyā, sūryodaya 07:10, sūryāsta 17:38.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2049-01-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2049-01-04","sa":"https://sa.vidhyamitra.com/city/mathura/2049-01-04","hi":"https://hi.vidhyamitra.com/city/mathura/2049-01-04","x-default":"https://vidhyamitra.com/city/mathura/2049-01-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:41:27.914Z","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":"2026-05-14T14:41:27.914Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:41:27.914Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}