{"id":"vidhyamitra:city-day:mathura:2015-12-23:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2015-12-23","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2015-12-23","date_display":"December 23, 2015 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":2015,"month":12,"day":23,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457379.770833,"kali_year":5117,"ahargana":1868914.2708,"sun":{"sidereal_longitude":246.4319,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":36.5798,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":150.1479,"elapsed_within_tithi_degrees":6.1479},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3,"moon_longitude":36.5798,"elapsed_within_degrees":9.9131},"yoga":{"number":22,"name":"Sādhya","sum_longitude":283.0116},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2015,"month":12,"day":23,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2457379.770833,"ahargana":1868914.2708,"kali_year":5117,"ayanamsa_lahiri":24.0762,"grahas":{"sun":{"sidereal_longitude":246.78997900000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"moon":{"sidereal_longitude":35.02607899999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false,"latitude":-3.9215},"mars":{"sidereal_longitude":179.22357899999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":265.069579,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":148.016479,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":206.933179,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":225.844879,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":155.9281,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":335.9281,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","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":2015,"month":12,"day":23,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457379.770833,"kali_year":5117,"ahargana":1868914.2708,"sun":{"sidereal_longitude":246.4319,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":36.5798,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":150.1479,"elapsed_within_tithi_degrees":6.1479},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3,"moon_longitude":36.5798,"elapsed_within_degrees":9.9131},"yoga":{"number":22,"name":"Sādhya","sum_longitude":283.0116},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.921,"elongation":150.148},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.921,"opposition_distance":29.852}},"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":10.401672569936597,"dayLengthDisplay":"10 Hours 24 Mins 06 Secs","nightLengthDisplay":"13 Hours 35 Mins 54 Secs","moonriseLocal":"15:25","moonsetLocal":"04:58","rahuKala":{"name":"Rāhu Kāla","start":"12:19","end":"13:37","startHours":12.314361805138212,"endHours":13.614570876380288,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:25","end":"09:43","startHours":8.41373459141199,"endHours":9.713943662654064,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:01","end":"12:19","startHours":11.014152733896138,"endHours":12.314361805138212,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:32","end":"09:53","startHours":9.540582453155121,"endHours":9.887304872153006,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:33","end":"07:49","startHours":7.546928543917272,"endHours":7.824306479115582,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:40","startHours":11.967639386140327,"endHours":12.6610842241361,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:44","end":"06:25","startHours":5.726635844178368,"endHours":6.420080682174142,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:15","end":"07:07","startHours":6.246719472675198,"endHours":7.113525520169914,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:03","end":"14:44","startHours":14.047973900127646,"endHours":14.74141873812342,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:19","end":"17:43","startHours":17.315198090106513,"endHours":17.71519809010651,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:31","end":"17:57","startHours":17.515198090106512,"endHours":17.948601113853872,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:16","end":"19:01","startHours":17.265198090106512,"endHours":19.015198090106512,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:40","startHours":23.967639386140327,"endHours":24.661084224136097,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:07","end":"08:25","startHours":7.113525520169914,"endHours":8.41373459141199,"quality":"auspicious"},{"name":"Amṛta","start":"08:25","end":"09:43","startHours":8.41373459141199,"endHours":9.713943662654064,"quality":"auspicious"},{"name":"Kāla","start":"09:43","end":"11:01","startHours":9.713943662654064,"endHours":11.014152733896138,"quality":"inauspicious"},{"name":"Śubha","start":"11:01","end":"12:19","startHours":11.014152733896138,"endHours":12.314361805138212,"quality":"auspicious"},{"name":"Roga","start":"12:19","end":"13:37","startHours":12.314361805138212,"endHours":13.614570876380288,"quality":"inauspicious"},{"name":"Udveg","start":"13:37","end":"14:55","startHours":13.614570876380288,"endHours":14.914779947622362,"quality":"inauspicious"},{"name":"Chala","start":"14:55","end":"16:13","startHours":14.914779947622362,"endHours":16.214989018864436,"quality":"neutral"},{"name":"Labha","start":"16:13","end":"17:31","startHours":16.214989018864436,"endHours":17.515198090106512,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:31","end":"19:13","startHours":17.515198090106512,"endHours":19.214989018864436,"quality":"inauspicious"},{"name":"Chala","start":"19:13","end":"20:55","startHours":19.214989018864436,"endHours":20.914779947622364,"quality":"neutral"},{"name":"Labha","start":"20:55","end":"22:37","startHours":20.914779947622364,"endHours":22.614570876380288,"quality":"auspicious"},{"name":"Amṛta","start":"22:37","end":"00:19","startHours":22.614570876380288,"endHours":24.314361805138212,"quality":"auspicious"},{"name":"Kāla","start":"00:19","end":"02:01","startHours":24.314361805138212,"endHours":26.01415273389614,"quality":"inauspicious"},{"name":"Śubha","start":"02:01","end":"03:43","startHours":26.01415273389614,"endHours":27.713943662654064,"quality":"auspicious"},{"name":"Roga","start":"03:43","end":"05:25","startHours":27.713943662654064,"endHours":29.413734591411988,"quality":"inauspicious"},{"name":"Udveg","start":"05:25","end":"07:07","startHours":29.413734591411988,"endHours":31.113525520169915,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:07","end":"08:07","startHours":7.113525520169914,"endHours":8.113525520169915,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:07","end":"09:07","startHours":8.113525520169915,"endHours":9.113525520169915,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:07","end":"10:07","startHours":9.113525520169915,"endHours":10.113525520169915,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:07","end":"11:07","startHours":10.113525520169915,"endHours":11.113525520169915,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:07","end":"12:07","startHours":11.113525520169915,"endHours":12.113525520169915,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:07","end":"13:07","startHours":12.113525520169915,"endHours":13.113525520169915,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:07","end":"14:07","startHours":13.113525520169915,"endHours":14.113525520169915,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:07","end":"15:07","startHours":14.113525520169915,"endHours":15.113525520169915,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:07","end":"16:07","startHours":15.113525520169915,"endHours":16.113525520169915,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:07","end":"17:07","startHours":16.113525520169915,"endHours":17.113525520169915,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:07","end":"18:07","startHours":17.113525520169915,"endHours":18.113525520169915,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:07","end":"19:07","startHours":18.113525520169915,"endHours":19.113525520169915,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:07","end":"20:07","startHours":19.113525520169915,"endHours":20.113525520169915,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:07","end":"21:07","startHours":20.113525520169915,"endHours":21.113525520169915,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:07","end":"22:07","startHours":21.113525520169915,"endHours":22.113525520169915,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:07","end":"23:07","startHours":22.113525520169915,"endHours":23.113525520169915,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:07","end":"00:07","startHours":23.113525520169915,"endHours":24.113525520169915,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:07","end":"01:07","startHours":24.113525520169915,"endHours":25.113525520169915,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:07","end":"02:07","startHours":25.113525520169915,"endHours":26.113525520169915,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:07","end":"03:07","startHours":26.113525520169915,"endHours":27.113525520169915,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:07","end":"04:07","startHours":27.113525520169915,"endHours":28.113525520169915,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:07","end":"05:07","startHours":28.113525520169915,"endHours":29.113525520169915,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:07","end":"06:07","startHours":29.113525520169915,"endHours":30.113525520169915,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:07","end":"07:07","startHours":30.113525520169915,"endHours":31.113525520169915,"planetary_lord":"Sun"}],"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":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"South-West","anandadiYoga":{"name":"Lumba","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":-23.433661858641205,"eotMinutes":0.4434916917071845,"ayanamsa":24.0762}},"calendars":{"vikram_samvat":2072,"vikram_samvatsara":"Kīlaka","saka_samvat":1937,"saka_samvatsara":"Manmatha","bengali_samvat":1422,"malayalam_era":1191,"nanakshahi_year":546,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Trayodaśī · Vikram 2072 Kīlaka · Śaka 1937 Manmatha"},"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},{"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":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","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 23, 2015 CE · Mathurā · Vidhyamitra","description":"December 23, 2015 CE for Mathurā: Śukla Trayodaśī, sūryodaya 07:07, sūryāsta 17:31.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2015-12-23","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2015-12-23","sa":"https://sa.vidhyamitra.com/city/mathura/2015-12-23","hi":"https://hi.vidhyamitra.com/city/mathura/2015-12-23","x-default":"https://vidhyamitra.com/city/mathura/2015-12-23"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T12:43:42.946Z","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":"2026-05-14T12:43:42.946Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T12:43:42.946Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}