{"id":"vidhyamitra:city-day:mathura:2031-12-26:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2031-12-26","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2031-12-26","date_display":"December 26, 2031 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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2031,"month":12,"day":26,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463226.770833,"kali_year":5133,"ahargana":1874761.2708,"sun":{"sidereal_longitude":249.3706,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":38.9179,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":149.5473,"elapsed_within_tithi_degrees":5.5473},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4,"moon_longitude":38.9179,"elapsed_within_degrees":12.2512},"yoga":{"number":22,"name":"Sādhya","sum_longitude":288.2885},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2031,"month":12,"day":26,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2463226.770833,"ahargana":1874761.2708,"kali_year":5133,"ayanamsa_lahiri":24.2998,"grahas":{"sun":{"sidereal_longitude":249.740681,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"moon":{"sidereal_longitude":39.687681,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false,"latitude":-0.9954},"mars":{"sidereal_longitude":302.47648100000004,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":229.11048099999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":254.59778099999994,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":211.17348100000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":53.87218100000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":206.1259,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":26.1259,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2031,"month":12,"day":26,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463226.770833,"kali_year":5133,"ahargana":1874761.2708,"sun":{"sidereal_longitude":249.3706,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":38.9179,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":149.5473,"elapsed_within_tithi_degrees":5.5473},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4,"moon_longitude":38.9179,"elapsed_within_degrees":12.2512},"yoga":{"number":22,"name":"Sādhya","sum_longitude":288.2885},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.995,"elongation":149.547},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.995,"opposition_distance":30.453}},"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":"07:08","sunsetLocal":"17:32","solarNoonLocal":"12:20","dayLengthHours":10.406569228408099,"dayLengthDisplay":"10 Hours 24 Mins 24 Secs","nightLengthDisplay":"13 Hours 35 Mins 36 Secs","moonriseLocal":"15:31","moonsetLocal":"05:09","rahuKala":{"name":"Rāhu Kāla","start":"11:02","end":"12:20","startHours":11.036932385289393,"endHours":12.337753538840406,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:56","end":"16:14","startHours":14.93939584594243,"endHours":16.24021699949344,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:26","end":"09:44","startHours":8.435290078187368,"endHours":9.73611123173838,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:34","end":"09:55","startHours":9.562668411264912,"endHours":9.909554052211849,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:34","end":"07:51","startHours":7.568075975820027,"endHours":7.845584488577576,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:59","end":"12:41","startHours":11.990867897893468,"endHours":12.684639179787341,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:45","end":"06:26","startHours":5.74692636084861,"endHours":6.4406976427424825,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:16","end":"07:08","startHours":6.267254822269014,"endHours":7.134468924636356,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:04","end":"14:46","startHours":14.07218174357509,"endHours":14.765953025468963,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:20","end":"17:44","startHours":17.341038153044455,"endHours":17.741038153044453,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:32","end":"17:58","startHours":17.541038153044454,"endHours":17.974645204228125,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:17","end":"19:02","startHours":17.291038153044454,"endHours":19.041038153044454,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:59","end":"00:41","startHours":23.990867897893466,"endHours":24.68463917978734,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"07:08","end":"08:26","startHours":7.134468924636356,"endHours":8.435290078187368,"quality":"neutral"},{"name":"Labha","start":"08:26","end":"09:44","startHours":8.435290078187368,"endHours":9.73611123173838,"quality":"auspicious"},{"name":"Amṛta","start":"09:44","end":"11:02","startHours":9.73611123173838,"endHours":11.036932385289393,"quality":"auspicious"},{"name":"Kāla","start":"11:02","end":"12:20","startHours":11.036932385289393,"endHours":12.337753538840406,"quality":"inauspicious"},{"name":"Śubha","start":"12:20","end":"13:38","startHours":12.337753538840406,"endHours":13.638574692391419,"quality":"auspicious"},{"name":"Roga","start":"13:38","end":"14:56","startHours":13.638574692391419,"endHours":14.93939584594243,"quality":"inauspicious"},{"name":"Udveg","start":"14:56","end":"16:14","startHours":14.93939584594243,"endHours":16.24021699949344,"quality":"inauspicious"},{"name":"Chala","start":"16:14","end":"17:32","startHours":16.24021699949344,"endHours":17.541038153044454,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:32","end":"19:14","startHours":17.541038153044454,"endHours":19.24021699949344,"quality":"inauspicious"},{"name":"Udveg","start":"19:14","end":"20:56","startHours":19.24021699949344,"endHours":20.93939584594243,"quality":"inauspicious"},{"name":"Chala","start":"20:56","end":"22:38","startHours":20.93939584594243,"endHours":22.638574692391416,"quality":"neutral"},{"name":"Labha","start":"22:38","end":"00:20","startHours":22.638574692391416,"endHours":24.337753538840403,"quality":"auspicious"},{"name":"Amṛta","start":"00:20","end":"02:02","startHours":24.337753538840403,"endHours":26.03693238528939,"quality":"auspicious"},{"name":"Kāla","start":"02:02","end":"03:44","startHours":26.03693238528939,"endHours":27.73611123173838,"quality":"inauspicious"},{"name":"Śubha","start":"03:44","end":"05:26","startHours":27.73611123173838,"endHours":29.435290078187368,"quality":"auspicious"},{"name":"Roga","start":"05:26","end":"07:08","startHours":29.435290078187368,"endHours":31.134468924636355,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:08","end":"08:08","startHours":7.134468924636356,"endHours":8.134468924636355,"planetary_lord":"Venus"},{"name":"Hora 2","start":"08:08","end":"09:08","startHours":8.134468924636355,"endHours":9.134468924636355,"planetary_lord":"Sun"},{"name":"Hora 3","start":"09:08","end":"10:08","startHours":9.134468924636355,"endHours":10.134468924636355,"planetary_lord":"Mars"},{"name":"Hora 4","start":"10:08","end":"11:08","startHours":10.134468924636355,"endHours":11.134468924636355,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"11:08","end":"12:08","startHours":11.134468924636355,"endHours":12.134468924636355,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"12:08","end":"13:08","startHours":12.134468924636355,"endHours":13.134468924636355,"planetary_lord":"Moon"},{"name":"Hora 7","start":"13:08","end":"14:08","startHours":13.134468924636355,"endHours":14.134468924636355,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"14:08","end":"15:08","startHours":14.134468924636355,"endHours":15.134468924636355,"planetary_lord":"Venus"},{"name":"Hora 9","start":"15:08","end":"16:08","startHours":15.134468924636355,"endHours":16.134468924636355,"planetary_lord":"Sun"},{"name":"Hora 10","start":"16:08","end":"17:08","startHours":16.134468924636355,"endHours":17.134468924636355,"planetary_lord":"Mars"},{"name":"Hora 11","start":"17:08","end":"18:08","startHours":17.134468924636355,"endHours":18.134468924636355,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"18:08","end":"19:08","startHours":18.134468924636355,"endHours":19.134468924636355,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"19:08","end":"20:08","startHours":19.134468924636355,"endHours":20.134468924636355,"planetary_lord":"Moon"},{"name":"Hora 14","start":"20:08","end":"21:08","startHours":20.134468924636355,"endHours":21.134468924636355,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"21:08","end":"22:08","startHours":21.134468924636355,"endHours":22.134468924636355,"planetary_lord":"Venus"},{"name":"Hora 16","start":"22:08","end":"23:08","startHours":22.134468924636355,"endHours":23.134468924636355,"planetary_lord":"Sun"},{"name":"Hora 17","start":"23:08","end":"00:08","startHours":23.134468924636355,"endHours":24.134468924636355,"planetary_lord":"Mars"},{"name":"Hora 18","start":"00:08","end":"01:08","startHours":24.134468924636355,"endHours":25.134468924636355,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"01:08","end":"02:08","startHours":25.134468924636355,"endHours":26.134468924636355,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"02:08","end":"03:08","startHours":26.134468924636355,"endHours":27.134468924636355,"planetary_lord":"Moon"},{"name":"Hora 21","start":"03:08","end":"04:08","startHours":27.134468924636355,"endHours":28.134468924636355,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"04:08","end":"05:08","startHours":28.134468924636355,"endHours":29.134468924636355,"planetary_lord":"Venus"},{"name":"Hora 23","start":"05:08","end":"06:08","startHours":29.134468924636355,"endHours":30.134468924636355,"planetary_lord":"Sun"},{"name":"Hora 24","start":"06:08","end":"07:08","startHours":30.134468924636355,"endHours":31.134468924636355,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"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":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"South-East","anandadiYoga":{"name":"Gada","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.374781337871113,"eotMinutes":-0.9600123304242594,"ayanamsa":24.2998}},"calendars":{"vikram_samvat":2088,"vikram_samvatsara":"Raktākṣī","saka_samvat":1953,"saka_samvatsara":"Virodhakṛt","bengali_samvat":1438,"malayalam_era":1207,"nanakshahi_year":562,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Trayodaśī · Vikram 2088 Raktākṣī · Śaka 1953 Virodhakṛt"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Dedicated festival walk for Pradoṣa Vrata is not live yet; Śukravāra (Friday) — 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 December 26, 2031 CE · Mathurā · Vidhyamitra","description":"December 26, 2031 CE for Mathurā: Śukla Trayodaśī, sūryodaya 07:08, sūryāsta 17:32.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2031-12-26","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2031-12-26","sa":"https://sa.vidhyamitra.com/city/mathura/2031-12-26","hi":"https://hi.vidhyamitra.com/city/mathura/2031-12-26","x-default":"https://vidhyamitra.com/city/mathura/2031-12-26"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-24T12:42:06.258Z","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":"2026-08-24T12:42:06.258Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-24T12:42:06.258Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}