{"id":"vidhyamitra:city-day:bareilly:2045-12-24:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/bareilly/2045-12-24","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-12-24","date_display":"December 24, 2045 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":2045,"month":12,"day":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468338.770833,"kali_year":5147,"ahargana":1879873.2708,"sun":{"sidereal_longitude":247.7032,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":66.1803,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":178.4771,"elapsed_within_tithi_degrees":10.4771},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4,"moon_longitude":66.1803,"elapsed_within_degrees":12.8469},"yoga":{"number":24,"name":"Śukla","sum_longitude":313.8834},"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":2045,"month":12,"day":24,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468338.770833,"ahargana":1879873.2708,"kali_year":5147,"ayanamsa_lahiri":24.4953,"grahas":{"sun":{"sidereal_longitude":248.12066500000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"moon":{"sidereal_longitude":68.18906500000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false,"latitude":3.3992},"mars":{"sidereal_longitude":167.028365,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":234.41586500000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":313.03726500000005,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":260.927765,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":true},"saturn":{"sidereal_longitude":231.007065,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":295.2675,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":115.2675,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3},"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":2045,"month":12,"day":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468338.770833,"kali_year":5147,"ahargana":1879873.2708,"sun":{"sidereal_longitude":247.7032,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":66.1803,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":178.4771,"elapsed_within_tithi_degrees":10.4771},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4,"moon_longitude":66.1803,"elapsed_within_degrees":12.8469},"yoga":{"number":24,"name":"Śukla","sum_longitude":313.8834},"karana":{"half_tithi_index":29,"name":"Bava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.399,"elongation":178.477},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.399,"opposition_distance":1.523}},"eclipse_window_40days":[]},"city":{"slug":"bareilly","name":"Bareilly, Uttar Pradesh","lat":28.367,"lon":79.4304,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"bareilly","name":"Bareilly, Uttar Pradesh","lat":28.367,"lon":79.4304,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tier-1"},"sunriseLocal":"07:02","sunsetLocal":"17:22","solarNoonLocal":"12:12","dayLengthHours":10.338544062311607,"dayLengthDisplay":"10 Hours 20 Mins 19 Secs","nightLengthDisplay":"13 Hours 39 Mins 41 Secs","moonriseLocal":"17:16","moonsetLocal":"07:10","rahuKala":{"name":"Rāhu Kāla","start":"16:05","end":"17:22","startHours":16.08201862676711,"endHours":17.37433663455606,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:12","end":"13:30","startHours":12.205064603400256,"endHours":13.497382611189206,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:47","end":"16:05","startHours":14.789700618978157,"endHours":16.08201862676711,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:27","end":"09:48","startHours":9.44811952011716,"endHours":9.792737655527546,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:28","end":"07:45","startHours":7.4665652415074355,"endHours":7.742259749835745,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:52","end":"12:33","startHours":11.860446467989867,"endHours":12.549682738810642,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:39","end":"06:21","startHours":5.657320030602904,"endHours":6.346556301423678,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:10","end":"07:02","startHours":6.174247233718484,"endHours":7.035792572244452,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:56","end":"14:37","startHours":13.92815528045219,"endHours":14.617391551272963,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:10","end":"17:34","startHours":17.17433663455606,"endHours":17.574336634556058,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:22","end":"17:48","startHours":17.37433663455606,"endHours":17.80510930381904,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:07","end":"18:52","startHours":17.12433663455606,"endHours":18.87433663455606,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:52","end":"00:33","startHours":23.860446467989867,"endHours":24.54968273881064,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:02","end":"08:20","startHours":7.035792572244452,"endHours":8.328110580033403,"quality":"inauspicious"},{"name":"Chala","start":"08:20","end":"09:37","startHours":8.328110580033403,"endHours":9.620428587822353,"quality":"neutral"},{"name":"Labha","start":"09:37","end":"10:55","startHours":9.620428587822353,"endHours":10.912746595611305,"quality":"auspicious"},{"name":"Amṛta","start":"10:55","end":"12:12","startHours":10.912746595611305,"endHours":12.205064603400256,"quality":"auspicious"},{"name":"Kāla","start":"12:12","end":"13:30","startHours":12.205064603400256,"endHours":13.497382611189206,"quality":"inauspicious"},{"name":"Śubha","start":"13:30","end":"14:47","startHours":13.497382611189206,"endHours":14.789700618978157,"quality":"auspicious"},{"name":"Roga","start":"14:47","end":"16:05","startHours":14.789700618978157,"endHours":16.08201862676711,"quality":"inauspicious"},{"name":"Udveg","start":"16:05","end":"17:22","startHours":16.08201862676711,"endHours":17.37433663455606,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:22","end":"19:05","startHours":17.37433663455606,"endHours":19.08201862676711,"quality":"auspicious"},{"name":"Roga","start":"19:05","end":"20:47","startHours":19.08201862676711,"endHours":20.789700618978156,"quality":"inauspicious"},{"name":"Udveg","start":"20:47","end":"22:30","startHours":20.789700618978156,"endHours":22.497382611189206,"quality":"inauspicious"},{"name":"Chala","start":"22:30","end":"00:12","startHours":22.497382611189206,"endHours":24.205064603400256,"quality":"neutral"},{"name":"Labha","start":"00:12","end":"01:55","startHours":24.205064603400256,"endHours":25.912746595611303,"quality":"auspicious"},{"name":"Amṛta","start":"01:55","end":"03:37","startHours":25.912746595611303,"endHours":27.620428587822353,"quality":"auspicious"},{"name":"Kāla","start":"03:37","end":"05:20","startHours":27.620428587822353,"endHours":29.328110580033403,"quality":"inauspicious"},{"name":"Śubha","start":"05:20","end":"07:02","startHours":29.328110580033403,"endHours":31.035792572244453,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:02","end":"08:02","startHours":7.035792572244452,"endHours":8.035792572244452,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:02","end":"09:02","startHours":8.035792572244452,"endHours":9.035792572244452,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:02","end":"10:02","startHours":9.035792572244452,"endHours":10.035792572244452,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:02","end":"11:02","startHours":10.035792572244452,"endHours":11.035792572244452,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:02","end":"12:02","startHours":11.035792572244452,"endHours":12.035792572244452,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:02","end":"13:02","startHours":12.035792572244452,"endHours":13.035792572244452,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:02","end":"14:02","startHours":13.035792572244452,"endHours":14.035792572244452,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:02","end":"15:02","startHours":14.035792572244452,"endHours":15.035792572244452,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:02","end":"16:02","startHours":15.035792572244452,"endHours":16.035792572244453,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:02","end":"17:02","startHours":16.035792572244453,"endHours":17.035792572244453,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:02","end":"18:02","startHours":17.035792572244453,"endHours":18.035792572244453,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:02","end":"19:02","startHours":18.035792572244453,"endHours":19.035792572244453,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:02","end":"20:02","startHours":19.035792572244453,"endHours":20.035792572244453,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:02","end":"21:02","startHours":20.035792572244453,"endHours":21.035792572244453,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:02","end":"22:02","startHours":21.035792572244453,"endHours":22.035792572244453,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:02","end":"23:02","startHours":22.035792572244453,"endHours":23.035792572244453,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:02","end":"00:02","startHours":23.035792572244453,"endHours":24.035792572244453,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:02","end":"01:02","startHours":24.035792572244453,"endHours":25.035792572244453,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:02","end":"02:02","startHours":25.035792572244453,"endHours":26.035792572244453,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:02","end":"03:02","startHours":26.035792572244453,"endHours":27.035792572244453,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:02","end":"04:02","startHours":27.035792572244453,"endHours":28.035792572244453,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:02","end":"05:02","startHours":28.035792572244453,"endHours":29.035792572244453,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:02","end":"06:02","startHours":29.035792572244453,"endHours":30.035792572244453,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:02","end":"07:02","startHours":30.035792572244453,"endHours":31.035792572244453,"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":-23.410619207783547,"eotMinutes":-0.025476204015291604,"ayanamsa":24.4953}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Pūrṇimā · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"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":"bareilly"},"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, 2045 CE · Bareilly, Uttar Pradesh · Vidhyamitra","description":"December 24, 2045 CE for Bareilly, Uttar Pradesh: Śukla Pūrṇimā, sūryodaya 07:02, sūryāsta 17:22.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/bareilly/2045-12-24","hreflang_alternates":{"en":"https://vidhyamitra.com/city/bareilly/2045-12-24","sa":"https://sa.vidhyamitra.com/city/bareilly/2045-12-24","hi":"https://hi.vidhyamitra.com/city/bareilly/2045-12-24","x-default":"https://vidhyamitra.com/city/bareilly/2045-12-24"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-20T19:05:59.772Z","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":"2026-05-20T19:05:59.772Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-20T19:05:59.772Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}