{"id":"vidhyamitra:city-day:ayodhya:2045-05-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/2045-05-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-05-20","date_display":"May 20, 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":5,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468120.770833,"kali_year":5147,"ahargana":1879655.2708,"sun":{"sidereal_longitude":34.8161,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":76.5132,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":41.6971,"elapsed_within_tithi_degrees":5.6971},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":76.5132,"elapsed_within_degrees":9.8466},"yoga":{"number":9,"name":"Śūla","sum_longitude":111.3294},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":5,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468120.770833,"ahargana":1879655.2708,"kali_year":5147,"ayanamsa_lahiri":24.487,"grahas":{"sun":{"sidereal_longitude":34.969093999999984,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":78.56839400000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false,"latitude":3.4611},"mars":{"sidereal_longitude":30.118093999999985,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":27.08199400000001,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":315.246794,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":50.366894,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":223.78659400000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":306.8182,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":126.8182,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":5,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468120.770833,"kali_year":5147,"ahargana":1879655.2708,"sun":{"sidereal_longitude":34.8161,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":76.5132,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":41.6971,"elapsed_within_tithi_degrees":5.6971},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":76.5132,"elapsed_within_degrees":9.8466},"yoga":{"number":9,"name":"Śūla","sum_longitude":111.3294},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.461,"elongation":41.697},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.461,"opposition_distance":138.303}},"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":"05:11","sunsetLocal":"18:44","solarNoonLocal":"11:58","dayLengthHours":13.549968819851017,"dayLengthDisplay":"13 Hours 33 Mins 00 Secs","nightLengthDisplay":"10 Hours 27 Mins 00 Secs","moonriseLocal":"08:00","moonsetLocal":"21:44","rahuKala":{"name":"Rāhu Kāla","start":"08:34","end":"10:16","startHours":8.572269244767494,"endHours":10.26601534724887,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:39","end":"15:21","startHours":13.653507552211625,"endHours":15.347253654693002,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:11","end":"06:53","startHours":5.184777039804739,"endHours":6.878523142286116,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:21","end":"08:48","startHours":8.34643643110331,"endHours":8.798102058431677,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:45","end":"06:07","startHours":5.749359073965198,"endHours":6.110691575827891,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:30","end":"12:25","startHours":11.50809582240188,"endHours":12.411427077058615,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:23","end":"04:17","startHours":3.3781145304912696,"endHours":4.281445785148004,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:03","end":"05:11","startHours":4.0556129714838205,"endHours":5.184777039804739,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:13","end":"15:07","startHours":14.218089586372084,"endHours":15.121420841028819,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:32","end":"18:56","startHours":18.534745859655757,"endHours":18.934745859655756,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:44","end":"19:18","startHours":18.734745859655757,"endHours":19.299327893816216,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:29","end":"20:14","startHours":18.484745859655757,"endHours":20.234745859655757,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:30","end":"00:25","startHours":23.50809582240188,"endHours":24.411427077058615,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:11","end":"06:53","startHours":5.184777039804739,"endHours":6.878523142286116,"quality":"inauspicious"},{"name":"Śubha","start":"06:53","end":"08:34","startHours":6.878523142286116,"endHours":8.572269244767494,"quality":"auspicious"},{"name":"Roga","start":"08:34","end":"10:16","startHours":8.572269244767494,"endHours":10.26601534724887,"quality":"inauspicious"},{"name":"Udveg","start":"10:16","end":"11:58","startHours":10.26601534724887,"endHours":11.959761449730248,"quality":"inauspicious"},{"name":"Chala","start":"11:58","end":"13:39","startHours":11.959761449730248,"endHours":13.653507552211625,"quality":"neutral"},{"name":"Labha","start":"13:39","end":"15:21","startHours":13.653507552211625,"endHours":15.347253654693002,"quality":"auspicious"},{"name":"Amṛta","start":"15:21","end":"17:02","startHours":15.347253654693002,"endHours":17.04099975717438,"quality":"auspicious"},{"name":"Kāla","start":"17:02","end":"18:44","startHours":17.04099975717438,"endHours":18.734745859655757,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:44","end":"20:02","startHours":18.734745859655757,"endHours":20.04099975717438,"quality":"auspicious"},{"name":"Amṛta","start":"20:02","end":"21:21","startHours":20.04099975717438,"endHours":21.347253654693002,"quality":"auspicious"},{"name":"Kāla","start":"21:21","end":"22:39","startHours":21.347253654693002,"endHours":22.653507552211625,"quality":"inauspicious"},{"name":"Śubha","start":"22:39","end":"23:58","startHours":22.653507552211625,"endHours":23.959761449730248,"quality":"auspicious"},{"name":"Roga","start":"23:58","end":"01:16","startHours":23.959761449730248,"endHours":25.26601534724887,"quality":"inauspicious"},{"name":"Udveg","start":"01:16","end":"02:34","startHours":25.26601534724887,"endHours":26.572269244767494,"quality":"inauspicious"},{"name":"Chala","start":"02:34","end":"03:53","startHours":26.572269244767494,"endHours":27.878523142286117,"quality":"neutral"},{"name":"Labha","start":"03:53","end":"05:11","startHours":27.878523142286117,"endHours":29.18477703980474,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:11","end":"06:11","startHours":5.184777039804739,"endHours":6.184777039804739,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:11","end":"07:11","startHours":6.184777039804739,"endHours":7.184777039804739,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:11","end":"08:11","startHours":7.184777039804739,"endHours":8.18477703980474,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:11","end":"09:11","startHours":8.18477703980474,"endHours":9.18477703980474,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:11","end":"10:11","startHours":9.18477703980474,"endHours":10.18477703980474,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:11","end":"11:11","startHours":10.18477703980474,"endHours":11.18477703980474,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:11","end":"12:11","startHours":11.18477703980474,"endHours":12.18477703980474,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:11","end":"13:11","startHours":12.18477703980474,"endHours":13.18477703980474,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:11","end":"14:11","startHours":13.18477703980474,"endHours":14.18477703980474,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:11","end":"15:11","startHours":14.18477703980474,"endHours":15.18477703980474,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:11","end":"16:11","startHours":15.18477703980474,"endHours":16.18477703980474,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:11","end":"17:11","startHours":16.18477703980474,"endHours":17.18477703980474,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:11","end":"18:11","startHours":17.18477703980474,"endHours":18.18477703980474,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:11","end":"19:11","startHours":18.18477703980474,"endHours":19.18477703980474,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:11","end":"20:11","startHours":19.18477703980474,"endHours":20.18477703980474,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:11","end":"21:11","startHours":20.18477703980474,"endHours":21.18477703980474,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:11","end":"22:11","startHours":21.18477703980474,"endHours":22.18477703980474,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:11","end":"23:11","startHours":22.18477703980474,"endHours":23.18477703980474,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:11","end":"00:11","startHours":23.18477703980474,"endHours":24.18477703980474,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:11","end":"01:11","startHours":24.18477703980474,"endHours":25.18477703980474,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:11","end":"02:11","startHours":25.18477703980474,"endHours":26.18477703980474,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:11","end":"03:11","startHours":26.18477703980474,"endHours":27.18477703980474,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:11","end":"04:11","startHours":27.18477703980474,"endHours":28.18477703980474,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:11","end":"05:11","startHours":28.18477703980474,"endHours":29.18477703980474,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"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":"East (Pūrva)","chandraVasa":"South","rahuVasa":"East","anandadiYoga":{"name":"Kāladaṇḍa","quality":"Inauspicious"},"drikRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":20.03188919316251,"eotMinutes":3.5983130161851964,"ayanamsa":24.487}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Śukla Pakṣa","solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Śukla Caturthī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[{"id":"vrishabha-sankranti","name":"Vṛṣabha Saṅkrānti","name_sanskrit":"वृषभ सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Taurus.","vrata":false,"detection":{"sun_rashi":"Vṛṣabha"},"precedence":5},{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[]},"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 May 20, 2045 CE · Ayodhyā · Vidhyamitra","description":"May 20, 2045 CE for Ayodhyā: Śukla Caturthī, sūryodaya 05:11, sūryāsta 18:44.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/2045-05-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/2045-05-20","sa":"https://sa.vidhyamitra.com/city/ayodhya/2045-05-20","hi":"https://hi.vidhyamitra.com/city/ayodhya/2045-05-20","x-default":"https://vidhyamitra.com/city/ayodhya/2045-05-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-17T16:06:21.688Z","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":"2026-05-17T16:06:21.688Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-17T16:06:21.688Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}