{"id":"vidhyamitra:city-day:mathura:2075-12-22:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2075-12-22","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2075-12-22","date_display":"December 22, 2075 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":2075,"month":12,"day":22,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479293.770833,"kali_year":5177,"ahargana":1890828.2708,"sun":{"sidereal_longitude":244.8649,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":62.4186,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":177.5537,"elapsed_within_tithi_degrees":9.5537},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":62.4186,"elapsed_within_degrees":9.0853},"yoga":{"number":24,"name":"Śukla","sum_longitude":307.2835},"karana":{"half_tithi_index":29,"name":"Bava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2075,"month":12,"day":22,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2479293.770833,"ahargana":1890828.2708,"kali_year":5177,"ayanamsa_lahiri":24.9143,"grahas":{"sun":{"sidereal_longitude":245.37800300000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"moon":{"sidereal_longitude":61.796403,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false,"latitude":-0.9654},"mars":{"sidereal_longitude":151.24990300000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":262.725503,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":166.22310300000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"venus":{"sidereal_longitude":280.36830299999997,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":236.34970299999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":74.8189,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":254.8189,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":2075,"month":12,"day":22,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479293.770833,"kali_year":5177,"ahargana":1890828.2708,"sun":{"sidereal_longitude":244.8649,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":62.4186,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":177.5537,"elapsed_within_tithi_degrees":9.5537},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":62.4186,"elapsed_within_degrees":9.0853},"yoga":{"number":24,"name":"Śukla","sum_longitude":307.2835},"karana":{"half_tithi_index":29,"name":"Bava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.965,"elongation":177.554},"lunar":{"type":"lunar","occurs":true,"moon_latitude":-0.965,"opposition_distance":2.446}},"eclipse_window_40days":[{"offset_days":0,"type":"lunar","occurs":true,"moon_latitude":-0.965,"opposition_distance":2.446}]},"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":"07:06","sunsetLocal":"17:30","solarNoonLocal":"12:18","dayLengthHours":10.401463313771337,"dayLengthDisplay":"10 Hours 24 Mins 05 Secs","nightLengthDisplay":"13 Hours 35 Mins 55 Secs","moonriseLocal":"17:09","moonsetLocal":"06:59","rahuKala":{"name":"Rāhu Kāla","start":"16:12","end":"17:30","startHours":16.20708529100558,"endHours":17.507268205226996,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:18","end":"13:36","startHours":12.306536548341327,"endHours":13.606719462562745,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:54","end":"16:12","startHours":14.906902376784164,"endHours":16.20708529100558,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:32","end":"09:53","startHours":9.532812998002305,"endHours":9.879528441794683,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:32","end":"07:49","startHours":7.539199196196132,"endHours":7.816571551230035,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:39","startHours":11.959821104548949,"endHours":12.653251992133706,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:43","end":"06:25","startHours":5.718943116286148,"endHours":6.412374003870903,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:14","end":"07:06","startHours":6.239016281974715,"endHours":7.1058048914556595,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:02","end":"14:44","startHours":14.040113767303218,"endHours":14.733544654887973,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:18","end":"17:42","startHours":17.307268205226997,"endHours":17.707268205226995,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:30","end":"17:56","startHours":17.507268205226996,"endHours":17.940662509967467,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:15","end":"19:00","startHours":17.257268205226996,"endHours":19.007268205226996,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:39","startHours":23.95982110454895,"endHours":24.653251992133704,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:06","end":"08:24","startHours":7.1058048914556595,"endHours":8.405987805677077,"quality":"inauspicious"},{"name":"Chala","start":"08:24","end":"09:42","startHours":8.405987805677077,"endHours":9.706170719898495,"quality":"neutral"},{"name":"Labha","start":"09:42","end":"11:00","startHours":9.706170719898495,"endHours":11.006353634119911,"quality":"auspicious"},{"name":"Amṛta","start":"11:00","end":"12:18","startHours":11.006353634119911,"endHours":12.306536548341327,"quality":"auspicious"},{"name":"Kāla","start":"12:18","end":"13:36","startHours":12.306536548341327,"endHours":13.606719462562745,"quality":"inauspicious"},{"name":"Śubha","start":"13:36","end":"14:54","startHours":13.606719462562745,"endHours":14.906902376784164,"quality":"auspicious"},{"name":"Roga","start":"14:54","end":"16:12","startHours":14.906902376784164,"endHours":16.20708529100558,"quality":"inauspicious"},{"name":"Udveg","start":"16:12","end":"17:30","startHours":16.20708529100558,"endHours":17.507268205226996,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:30","end":"19:12","startHours":17.507268205226996,"endHours":19.20708529100558,"quality":"auspicious"},{"name":"Roga","start":"19:12","end":"20:54","startHours":19.20708529100558,"endHours":20.90690237678416,"quality":"inauspicious"},{"name":"Udveg","start":"20:54","end":"22:36","startHours":20.90690237678416,"endHours":22.606719462562744,"quality":"inauspicious"},{"name":"Chala","start":"22:36","end":"00:18","startHours":22.606719462562744,"endHours":24.306536548341327,"quality":"neutral"},{"name":"Labha","start":"00:18","end":"02:00","startHours":24.306536548341327,"endHours":26.00635363411991,"quality":"auspicious"},{"name":"Amṛta","start":"02:00","end":"03:42","startHours":26.00635363411991,"endHours":27.706170719898495,"quality":"auspicious"},{"name":"Kāla","start":"03:42","end":"05:24","startHours":27.706170719898495,"endHours":29.405987805677075,"quality":"inauspicious"},{"name":"Śubha","start":"05:24","end":"07:06","startHours":29.405987805677075,"endHours":31.10580489145566,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:06","end":"08:06","startHours":7.1058048914556595,"endHours":8.105804891455659,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:06","end":"09:06","startHours":8.105804891455659,"endHours":9.105804891455659,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:06","end":"10:06","startHours":9.105804891455659,"endHours":10.105804891455659,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:06","end":"11:06","startHours":10.105804891455659,"endHours":11.105804891455659,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:06","end":"12:06","startHours":11.105804891455659,"endHours":12.105804891455659,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:06","end":"13:06","startHours":12.105804891455659,"endHours":13.105804891455659,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:06","end":"14:06","startHours":13.105804891455659,"endHours":14.105804891455659,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:06","end":"15:06","startHours":14.105804891455659,"endHours":15.105804891455659,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:06","end":"16:06","startHours":15.105804891455659,"endHours":16.10580489145566,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:06","end":"17:06","startHours":16.10580489145566,"endHours":17.10580489145566,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:06","end":"18:06","startHours":17.10580489145566,"endHours":18.10580489145566,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:06","end":"19:06","startHours":18.10580489145566,"endHours":19.10580489145566,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:06","end":"20:06","startHours":19.10580489145566,"endHours":20.10580489145566,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:06","end":"21:06","startHours":20.10580489145566,"endHours":21.10580489145566,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:06","end":"22:06","startHours":21.10580489145566,"endHours":22.10580489145566,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:06","end":"23:06","startHours":22.10580489145566,"endHours":23.10580489145566,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:06","end":"00:06","startHours":23.10580489145566,"endHours":24.10580489145566,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:06","end":"01:06","startHours":24.10580489145566,"endHours":25.10580489145566,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:06","end":"02:06","startHours":25.10580489145566,"endHours":26.10580489145566,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:06","end":"03:06","startHours":26.10580489145566,"endHours":27.10580489145566,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:06","end":"04:06","startHours":27.10580489145566,"endHours":28.10580489145566,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:06","end":"05:06","startHours":28.10580489145566,"endHours":29.10580489145566,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:06","end":"06:06","startHours":29.10580489145566,"endHours":30.10580489145566,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:06","end":"07:06","startHours":30.10580489145566,"endHours":31.10580489145566,"planetary_lord":"Jupiter"}],"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":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Saumya","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":-23.436176781114657,"eotMinutes":0.9130070995203906,"ayanamsa":24.9143}},"calendars":{"vikram_samvat":2132,"vikram_samvatsara":"Kīlaka","saka_samvat":1997,"saka_samvatsara":"Manmatha","bengali_samvat":1482,"malayalam_era":1251,"nanakshahi_year":606,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Pūrṇimā · Vikram 2132 Kīlaka · Śaka 1997 Manmatha"},"festivals":[{"id":"paush-purnima","name":"Pauṣa Pūrṇimā (Śākambharī Devī Jayantī)","name_sanskrit":"पौष पूर्णिमा","tradition":"Pan-Hindu","associated_deity":"Devī Śākambharī","significance":"Manifestation of Devī Śākambharī (vegetation-mother).","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Pauṣa"},"precedence":3},{"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":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 Śukla Pūrṇimā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Śukla Pūrṇimā","url":"/day/-0562-04-11","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 22, 2075 CE · Mathurā · Vidhyamitra","description":"December 22, 2075 CE for Mathurā: Śukla Pūrṇimā, sūryodaya 07:06, sūryāsta 17:30.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2075-12-22","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2075-12-22","sa":"https://sa.vidhyamitra.com/city/mathura/2075-12-22","hi":"https://hi.vidhyamitra.com/city/mathura/2075-12-22","x-default":"https://vidhyamitra.com/city/mathura/2075-12-22"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T11:38:31.432Z","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":"2026-05-14T11:38:31.432Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T11:38:31.432Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}