{"id":"vidhyamitra:city-day:mathura:2091-12-24:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2091-12-24","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2091-12-24","date_display":"December 24, 2091 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":2091,"month":12,"day":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2485139.770833,"kali_year":5193,"ahargana":1896674.2708,"sun":{"sidereal_longitude":246.7755,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":44.8346,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":158.0591,"elapsed_within_tithi_degrees":2.0591},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2,"moon_longitude":44.8346,"elapsed_within_degrees":4.8346},"yoga":{"number":22,"name":"Sādhya","sum_longitude":291.6102},"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":2091,"month":12,"day":24,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2485139.770833,"ahargana":1896674.2708,"kali_year":5193,"ayanamsa_lahiri":25.1379,"grahas":{"sun":{"sidereal_longitude":247.309843,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"moon":{"sidereal_longitude":46.292242999999985,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false,"latitude":-4.4347},"mars":{"sidereal_longitude":272.872743,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":232.31154300000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":270.97004300000003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":283.472443,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":70.476043,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":125.0697,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":305.0697,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","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":2091,"month":12,"day":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2485139.770833,"kali_year":5193,"ahargana":1896674.2708,"sun":{"sidereal_longitude":246.7755,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":44.8346,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":158.0591,"elapsed_within_tithi_degrees":2.0591},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2,"moon_longitude":44.8346,"elapsed_within_degrees":4.8346},"yoga":{"number":22,"name":"Sādhya","sum_longitude":291.6102},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.435,"elongation":158.059},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.435,"opposition_distance":21.941}},"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":"07:07","sunsetLocal":"17:31","solarNoonLocal":"12:19","dayLengthHours":10.403321552524275,"dayLengthDisplay":"10 Hours 24 Mins 12 Secs","nightLengthDisplay":"13 Hours 35 Mins 48 Secs","moonriseLocal":"16:03","moonsetLocal":"05:47","rahuKala":{"name":"Rāhu Kāla","start":"08:25","end":"09:43","startHours":8.420932354536987,"endHours":9.72134754860252,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:01","end":"12:19","startHours":11.021762742668056,"endHours":12.322177936733588,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:37","end":"14:55","startHours":13.622593130799125,"endHours":14.923008324864657,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:33","end":"09:54","startHours":9.547958856060449,"endHours":9.894736241144592,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:33","end":"07:50","startHours":7.55398889182663,"endHours":7.831410799893944,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:59","end":"12:40","startHours":11.975400551649447,"endHours":12.66895532181773,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:44","end":"06:26","startHours":5.733407620134882,"endHours":6.426962390303166,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:15","end":"07:07","startHours":6.253573697761095,"endHours":7.120517160471452,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:03","end":"14:45","startHours":14.056064862154301,"endHours":14.749619632322586,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:19","end":"17:43","startHours":17.323838712995727,"endHours":17.723838712995725,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:31","end":"17:57","startHours":17.523838712995726,"endHours":17.957310444350902,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:16","end":"19:01","startHours":17.273838712995726,"endHours":19.023838712995726,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:59","end":"00:40","startHours":23.975400551649447,"endHours":24.66895532181773,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:07","end":"08:25","startHours":7.120517160471452,"endHours":8.420932354536987,"quality":"auspicious"},{"name":"Kāla","start":"08:25","end":"09:43","startHours":8.420932354536987,"endHours":9.72134754860252,"quality":"inauspicious"},{"name":"Śubha","start":"09:43","end":"11:01","startHours":9.72134754860252,"endHours":11.021762742668056,"quality":"auspicious"},{"name":"Roga","start":"11:01","end":"12:19","startHours":11.021762742668056,"endHours":12.322177936733588,"quality":"inauspicious"},{"name":"Udveg","start":"12:19","end":"13:37","startHours":12.322177936733588,"endHours":13.622593130799125,"quality":"inauspicious"},{"name":"Chala","start":"13:37","end":"14:55","startHours":13.622593130799125,"endHours":14.923008324864657,"quality":"neutral"},{"name":"Labha","start":"14:55","end":"16:13","startHours":14.923008324864657,"endHours":16.223423518930193,"quality":"auspicious"},{"name":"Amṛta","start":"16:13","end":"17:31","startHours":16.223423518930193,"endHours":17.523838712995726,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:31","end":"19:13","startHours":17.523838712995726,"endHours":19.22342351893019,"quality":"neutral"},{"name":"Labha","start":"19:13","end":"20:55","startHours":19.22342351893019,"endHours":20.923008324864657,"quality":"auspicious"},{"name":"Amṛta","start":"20:55","end":"22:37","startHours":20.923008324864657,"endHours":22.622593130799125,"quality":"auspicious"},{"name":"Kāla","start":"22:37","end":"00:19","startHours":22.622593130799125,"endHours":24.32217793673359,"quality":"inauspicious"},{"name":"Śubha","start":"00:19","end":"02:01","startHours":24.32217793673359,"endHours":26.021762742668052,"quality":"auspicious"},{"name":"Roga","start":"02:01","end":"03:43","startHours":26.021762742668052,"endHours":27.72134754860252,"quality":"inauspicious"},{"name":"Udveg","start":"03:43","end":"05:25","startHours":27.72134754860252,"endHours":29.420932354536987,"quality":"inauspicious"},{"name":"Chala","start":"05:25","end":"07:07","startHours":29.420932354536987,"endHours":31.12051716047145,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:07","end":"08:07","startHours":7.120517160471452,"endHours":8.12051716047145,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:07","end":"09:07","startHours":8.12051716047145,"endHours":9.12051716047145,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:07","end":"10:07","startHours":9.12051716047145,"endHours":10.12051716047145,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:07","end":"11:07","startHours":10.12051716047145,"endHours":11.12051716047145,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:07","end":"12:07","startHours":11.12051716047145,"endHours":12.12051716047145,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:07","end":"13:07","startHours":12.12051716047145,"endHours":13.12051716047145,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:07","end":"14:07","startHours":13.12051716047145,"endHours":14.12051716047145,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:07","end":"15:07","startHours":14.12051716047145,"endHours":15.12051716047145,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:07","end":"16:07","startHours":15.12051716047145,"endHours":16.12051716047145,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:07","end":"17:07","startHours":16.12051716047145,"endHours":17.12051716047145,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:07","end":"18:07","startHours":17.12051716047145,"endHours":18.12051716047145,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:07","end":"19:07","startHours":18.12051716047145,"endHours":19.12051716047145,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:07","end":"20:07","startHours":19.12051716047145,"endHours":20.12051716047145,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:07","end":"21:07","startHours":20.12051716047145,"endHours":21.12051716047145,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:07","end":"22:07","startHours":21.12051716047145,"endHours":22.12051716047145,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:07","end":"23:07","startHours":22.12051716047145,"endHours":23.12051716047145,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:07","end":"00:07","startHours":23.12051716047145,"endHours":24.12051716047145,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:07","end":"01:07","startHours":24.12051716047145,"endHours":25.12051716047145,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:07","end":"02:07","startHours":25.12051716047145,"endHours":26.12051716047145,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:07","end":"03:07","startHours":26.12051716047145,"endHours":27.12051716047145,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:07","end":"04:07","startHours":27.12051716047145,"endHours":28.12051716047145,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:07","end":"05:07","startHours":28.12051716047145,"endHours":29.12051716047145,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:07","end":"06:07","startHours":29.12051716047145,"endHours":30.12051716047145,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:07","end":"07:07","startHours":30.12051716047145,"endHours":31.12051716047145,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"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":"Śrīvatsa","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":-23.413839993966416,"eotMinutes":-0.025476204015291604,"ayanamsa":25.1379}},"calendars":{"vikram_samvat":2148,"vikram_samvatsara":"Raktākṣī","saka_samvat":2013,"saka_samvatsara":"Virodhakṛt","bengali_samvat":1498,"malayalam_era":1267,"nanakshahi_year":622,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Caturdaśī · Vikram 2148 Raktākṣī · Śaka 2013 Virodhakṛt"},"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":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Rohiṇī","url":"/day/-3226-07-09","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 December 24, 2091 CE · Mathurā · Vidhyamitra","description":"December 24, 2091 CE for Mathurā: Śukla Caturdaśī, sūryodaya 07:07, sūryāsta 17:31.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2091-12-24","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2091-12-24","sa":"https://sa.vidhyamitra.com/city/mathura/2091-12-24","hi":"https://hi.vidhyamitra.com/city/mathura/2091-12-24","x-default":"https://vidhyamitra.com/city/mathura/2091-12-24"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T13:35:26.051Z","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":"2026-05-14T13:35:26.051Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T13:35:26.051Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}