{"id":"vidhyamitra:city-day:mathura:2072-01-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2072-01-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2072-01-04","date_display":"January 4, 2072 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":2072,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2477845.770833,"kali_year":5173,"ahargana":1889380.2708,"sun":{"sidereal_longitude":258.2627,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":54.4829,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":156.2202,"elapsed_within_tithi_degrees":0.2202},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":54.4829,"elapsed_within_degrees":1.1495},"yoga":{"number":24,"name":"Śukla","sum_longitude":312.7455},"karana":{"half_tithi_index":26,"name":"Gara"},"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":2072,"month":1,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2477845.770833,"ahargana":1889380.2708,"kali_year":5173,"ayanamsa_lahiri":24.8589,"grahas":{"sun":{"sidereal_longitude":258.64942799999994,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":54.725228000000016,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false,"latitude":-4.4658},"mars":{"sidereal_longitude":87.48392799999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":246.59832800000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":30.684827999999982,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":223.95682799999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":196.141028,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":151.5409,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":331.5409,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"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":2072,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2477845.770833,"kali_year":5173,"ahargana":1889380.2708,"sun":{"sidereal_longitude":258.2627,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":54.4829,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":156.2202,"elapsed_within_tithi_degrees":0.2202},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":54.4829,"elapsed_within_degrees":1.1495},"yoga":{"number":24,"name":"Śukla","sum_longitude":312.7455},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.466,"elongation":156.22},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.466,"opposition_distance":23.78}},"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":"07:11","sunsetLocal":"17:38","solarNoonLocal":"12:24","dayLengthHours":10.458136765727176,"dayLengthDisplay":"10 Hours 27 Mins 29 Secs","nightLengthDisplay":"13 Hours 32 Mins 31 Secs","moonriseLocal":"15:55","moonsetLocal":"05:43","rahuKala":{"name":"Rāhu Kāla","start":"08:29","end":"09:47","startHours":8.483683827274746,"endHours":9.790950922990643,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:06","end":"12:24","startHours":11.09821801870654,"endHours":12.405485114422437,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:43","end":"15:01","startHours":13.712752210138333,"endHours":15.02001930585423,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:37","end":"09:58","startHours":9.616648643561856,"endHours":9.96525320241943,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:53","startHours":7.612172430130815,"endHours":7.891056077216873,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:45","startHours":12.056880555564865,"endHours":12.754089673280008,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.781998496128558,"endHours":6.479207613843704,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:11","startHours":6.304905334414918,"endHours":7.176416731558849,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:09","end":"14:51","startHours":14.1485079087103,"endHours":14.845717026425445,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:26","end":"17:50","startHours":17.434553497286025,"endHours":17.834553497286024,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:38","end":"18:04","startHours":17.634553497286024,"endHours":18.07030919585799,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:23","end":"19:08","startHours":17.384553497286024,"endHours":19.134553497286024,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:45","startHours":24.056880555564863,"endHours":24.75408967328001,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:11","end":"08:29","startHours":7.176416731558849,"endHours":8.483683827274746,"quality":"auspicious"},{"name":"Kāla","start":"08:29","end":"09:47","startHours":8.483683827274746,"endHours":9.790950922990643,"quality":"inauspicious"},{"name":"Śubha","start":"09:47","end":"11:06","startHours":9.790950922990643,"endHours":11.09821801870654,"quality":"auspicious"},{"name":"Roga","start":"11:06","end":"12:24","startHours":11.09821801870654,"endHours":12.405485114422437,"quality":"inauspicious"},{"name":"Udveg","start":"12:24","end":"13:43","startHours":12.405485114422437,"endHours":13.712752210138333,"quality":"inauspicious"},{"name":"Chala","start":"13:43","end":"15:01","startHours":13.712752210138333,"endHours":15.02001930585423,"quality":"neutral"},{"name":"Labha","start":"15:01","end":"16:20","startHours":15.02001930585423,"endHours":16.327286401570127,"quality":"auspicious"},{"name":"Amṛta","start":"16:20","end":"17:38","startHours":16.327286401570127,"endHours":17.634553497286024,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:38","end":"19:20","startHours":17.634553497286024,"endHours":19.327286401570127,"quality":"neutral"},{"name":"Labha","start":"19:20","end":"21:01","startHours":19.327286401570127,"endHours":21.02001930585423,"quality":"auspicious"},{"name":"Amṛta","start":"21:01","end":"22:43","startHours":21.02001930585423,"endHours":22.712752210138333,"quality":"auspicious"},{"name":"Kāla","start":"22:43","end":"00:24","startHours":22.712752210138333,"endHours":24.405485114422437,"quality":"inauspicious"},{"name":"Śubha","start":"00:24","end":"02:06","startHours":24.405485114422437,"endHours":26.09821801870654,"quality":"auspicious"},{"name":"Roga","start":"02:06","end":"03:47","startHours":26.09821801870654,"endHours":27.790950922990643,"quality":"inauspicious"},{"name":"Udveg","start":"03:47","end":"05:29","startHours":27.790950922990643,"endHours":29.483683827274746,"quality":"inauspicious"},{"name":"Chala","start":"05:29","end":"07:11","startHours":29.483683827274746,"endHours":31.17641673155885,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.176416731558849,"endHours":8.176416731558849,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.176416731558849,"endHours":9.176416731558849,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.176416731558849,"endHours":10.176416731558849,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.176416731558849,"endHours":11.176416731558849,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.176416731558849,"endHours":12.176416731558849,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.176416731558849,"endHours":13.176416731558849,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.176416731558849,"endHours":14.176416731558849,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.176416731558849,"endHours":15.176416731558849,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.176416731558849,"endHours":16.17641673155885,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.17641673155885,"endHours":17.17641673155885,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.17641673155885,"endHours":18.17641673155885,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.17641673155885,"endHours":19.17641673155885,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.17641673155885,"endHours":20.17641673155885,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.17641673155885,"endHours":21.17641673155885,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.17641673155885,"endHours":22.17641673155885,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.17641673155885,"endHours":23.17641673155885,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.17641673155885,"endHours":24.17641673155885,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.17641673155885,"endHours":25.17641673155885,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.17641673155885,"endHours":26.17641673155885,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.17641673155885,"endHours":27.17641673155885,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.17641673155885,"endHours":28.17641673155885,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.17641673155885,"endHours":29.17641673155885,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.17641673155885,"endHours":30.17641673155885,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.17641673155885,"endHours":31.17641673155885,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"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":-22.751156867369925,"eotMinutes":-5.02390686534617,"ayanamsa":24.8589}},"calendars":{"vikram_samvat":2129,"vikram_samvatsara":"Viśvāvasu","saka_samvat":1994,"saka_samvatsara":"Nandana","bengali_samvat":1479,"malayalam_era":1248,"nanakshahi_year":603,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Caturdaśī · Vikram 2129 Viśvāvasu · Śaka 1994 Nandana"},"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":[]},"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, 2072 CE · Mathurā · Vidhyamitra","description":"January 4, 2072 CE for Mathurā: Śukla Caturdaśī, sūryodaya 07:11, sūryāsta 17:38.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2072-01-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2072-01-04","sa":"https://sa.vidhyamitra.com/city/mathura/2072-01-04","hi":"https://hi.vidhyamitra.com/city/mathura/2072-01-04","x-default":"https://vidhyamitra.com/city/mathura/2072-01-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T12:09:02.302Z","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":"2026-05-14T12:09:02.302Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T12:09:02.302Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}