{"id":"vidhyamitra:city-day:ayodhya:2045-12-22:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/2045-12-22","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-12-22","date_display":"December 22, 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":22,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468336.770833,"kali_year":5147,"ahargana":1879871.2708,"sun":{"sidereal_longitude":245.6483,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":39.1974,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":153.5491,"elapsed_within_tithi_degrees":9.5491},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4,"moon_longitude":39.1974,"elapsed_within_degrees":12.5308},"yoga":{"number":22,"name":"Sādhya","sum_longitude":284.8458},"karana":{"half_tithi_index":25,"name":"Taitila"},"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":2045,"month":12,"day":22,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468336.770833,"ahargana":1879871.2708,"kali_year":5147,"ayanamsa_lahiri":24.4952,"grahas":{"sun":{"sidereal_longitude":246.083841,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"moon":{"sidereal_longitude":40.143440999999996,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false,"latitude":4.3694},"mars":{"sidereal_longitude":166.03074100000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":231.390441,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":312.71494099999995,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":261.81234100000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":true},"saturn":{"sidereal_longitude":230.775841,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":295.3735,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":115.3735,"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":22,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468336.770833,"kali_year":5147,"ahargana":1879871.2708,"sun":{"sidereal_longitude":245.6483,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":39.1974,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":153.5491,"elapsed_within_tithi_degrees":9.5491},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4,"moon_longitude":39.1974,"elapsed_within_degrees":12.5308},"yoga":{"number":22,"name":"Sādhya","sum_longitude":284.8458},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.369,"elongation":153.549},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.369,"opposition_distance":26.451}},"eclipse_window_40days":[]},"city":{"slug":"ayodhya","name":"Ayodhyā","lat":26.799,"lon":82.204,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"ayodhya","name":"Ayodhyā","lat":26.799,"lon":82.204,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"06:47","sunsetLocal":"17:14","solarNoonLocal":"12:00","dayLengthHours":10.45238437540341,"dayLengthDisplay":"10 Hours 27 Mins 09 Secs","nightLengthDisplay":"13 Hours 32 Mins 51 Secs","moonriseLocal":"15:29","moonsetLocal":"05:04","rahuKala":{"name":"Rāhu Kāla","start":"10:42","end":"12:00","startHours":10.697968501415904,"endHours":12.004516548341329,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:37","end":"15:55","startHours":14.617612642192181,"endHours":15.924160689117608,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:05","end":"09:23","startHours":8.08487240756505,"endHours":9.391420454490477,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:13","end":"09:34","startHours":9.217214048233753,"endHours":9.565626860747201,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:13","end":"07:30","startHours":7.213840376281433,"endHours":7.49257062629219,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:39","end":"12:21","startHours":11.656103735827882,"endHours":12.352929360854775,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:23","end":"06:05","startHours":5.384673110585837,"endHours":6.081498735612731,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:54","end":"06:47","startHours":5.907292329356007,"endHours":6.778324360639624,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:45","end":"14:27","startHours":13.746580610908564,"endHours":14.44340623593546,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:02","end":"17:26","startHours":17.030708736043035,"endHours":17.430708736043034,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:14","end":"17:40","startHours":17.230708736043034,"endHours":17.666224751684844,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:59","end":"18:44","startHours":16.980708736043034,"endHours":18.730708736043034,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:39","end":"00:21","startHours":23.65610373582788,"endHours":24.352929360854777,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:47","end":"08:05","startHours":6.778324360639624,"endHours":8.08487240756505,"quality":"neutral"},{"name":"Labha","start":"08:05","end":"09:23","startHours":8.08487240756505,"endHours":9.391420454490477,"quality":"auspicious"},{"name":"Amṛta","start":"09:23","end":"10:42","startHours":9.391420454490477,"endHours":10.697968501415904,"quality":"auspicious"},{"name":"Kāla","start":"10:42","end":"12:00","startHours":10.697968501415904,"endHours":12.004516548341329,"quality":"inauspicious"},{"name":"Śubha","start":"12:00","end":"13:19","startHours":12.004516548341329,"endHours":13.311064595266757,"quality":"auspicious"},{"name":"Roga","start":"13:19","end":"14:37","startHours":13.311064595266757,"endHours":14.617612642192181,"quality":"inauspicious"},{"name":"Udveg","start":"14:37","end":"15:55","startHours":14.617612642192181,"endHours":15.924160689117608,"quality":"inauspicious"},{"name":"Chala","start":"15:55","end":"17:14","startHours":15.924160689117608,"endHours":17.230708736043034,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:14","end":"18:55","startHours":17.230708736043034,"endHours":18.92416068911761,"quality":"inauspicious"},{"name":"Udveg","start":"18:55","end":"20:37","startHours":18.92416068911761,"endHours":20.61761264219218,"quality":"inauspicious"},{"name":"Chala","start":"20:37","end":"22:19","startHours":20.61761264219218,"endHours":22.311064595266757,"quality":"neutral"},{"name":"Labha","start":"22:19","end":"00:00","startHours":22.311064595266757,"endHours":24.00451654834133,"quality":"auspicious"},{"name":"Amṛta","start":"00:00","end":"01:42","startHours":24.00451654834133,"endHours":25.697968501415904,"quality":"auspicious"},{"name":"Kāla","start":"01:42","end":"03:23","startHours":25.697968501415904,"endHours":27.39142045449048,"quality":"inauspicious"},{"name":"Śubha","start":"03:23","end":"05:05","startHours":27.39142045449048,"endHours":29.08487240756505,"quality":"auspicious"},{"name":"Roga","start":"05:05","end":"06:47","startHours":29.08487240756505,"endHours":30.778324360639623,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:47","end":"07:47","startHours":6.778324360639624,"endHours":7.778324360639624,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:47","end":"08:47","startHours":7.778324360639624,"endHours":8.778324360639624,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:47","end":"09:47","startHours":8.778324360639624,"endHours":9.778324360639624,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:47","end":"10:47","startHours":9.778324360639624,"endHours":10.778324360639624,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:47","end":"11:47","startHours":10.778324360639624,"endHours":11.778324360639624,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:47","end":"12:47","startHours":11.778324360639624,"endHours":12.778324360639624,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:47","end":"13:47","startHours":12.778324360639624,"endHours":13.778324360639624,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:47","end":"14:47","startHours":13.778324360639624,"endHours":14.778324360639624,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:47","end":"15:47","startHours":14.778324360639624,"endHours":15.778324360639624,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:47","end":"16:47","startHours":15.778324360639624,"endHours":16.778324360639623,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:47","end":"17:47","startHours":16.778324360639623,"endHours":17.778324360639623,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:47","end":"18:47","startHours":17.778324360639623,"endHours":18.778324360639623,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:47","end":"19:47","startHours":18.778324360639623,"endHours":19.778324360639623,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:47","end":"20:47","startHours":19.778324360639623,"endHours":20.778324360639623,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:47","end":"21:47","startHours":20.778324360639623,"endHours":21.778324360639623,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:47","end":"22:47","startHours":21.778324360639623,"endHours":22.778324360639623,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:47","end":"23:47","startHours":22.778324360639623,"endHours":23.778324360639623,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:47","end":"00:47","startHours":23.778324360639623,"endHours":24.778324360639623,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:47","end":"01:47","startHours":24.778324360639623,"endHours":25.778324360639623,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:47","end":"02:47","startHours":25.778324360639623,"endHours":26.778324360639623,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:47","end":"03:47","startHours":26.778324360639623,"endHours":27.778324360639623,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:47","end":"04:47","startHours":27.778324360639623,"endHours":28.778324360639623,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:47","end":"05:47","startHours":28.778324360639623,"endHours":29.778324360639623,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:47","end":"06:47","startHours":29.778324360639623,"endHours":30.778324360639623,"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"},"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":-23.43523163424687,"eotMinutes":0.9130070995203906,"ayanamsa":24.4952}},"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 Trayodaśī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"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":"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":"Śukravāra (Friday) — 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":"ayodhya"},"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, 2045 CE · Ayodhyā · Vidhyamitra","description":"December 22, 2045 CE for Ayodhyā: Śukla Trayodaśī, sūryodaya 06:47, sūryāsta 17:14.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/2045-12-22","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/2045-12-22","sa":"https://sa.vidhyamitra.com/city/ayodhya/2045-12-22","hi":"https://hi.vidhyamitra.com/city/ayodhya/2045-12-22","x-default":"https://vidhyamitra.com/city/ayodhya/2045-12-22"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-17T10:53:07.515Z","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":"2026-05-17T10:53:07.515Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-17T10:53:07.515Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}