{"id":"vidhyamitra:city-day:ayodhya:-3165-05-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/-3165-05-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3165-05-15","date_display":"May 15, 3166 BCE","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":-3165,"month":5,"day":15,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565175.770833,"kali_year":-63,"ahargana":-23289.7292,"sun":{"sidereal_longitude":85.2414,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":207.7543,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":122.5129,"elapsed_within_tithi_degrees":2.5129},"nakshatra":{"number":16,"name":"Viśākhā","pada":3,"moon_longitude":207.7543,"elapsed_within_degrees":7.7543},"yoga":{"number":22,"name":"Sādhya","sum_longitude":292.9957},"karana":{"half_tithi_index":20,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":-3165,"month":5,"day":15,"hour":6,"minute":30,"calendar":"julian"},"julian_day":565175.770833,"ahargana":-23289.7292,"kali_year":-63,"ayanamsa_lahiri":-48.2936,"grahas":{"sun":{"sidereal_longitude":85.2414,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"moon":{"sidereal_longitude":207.7543,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false,"latitude":-3.6278},"mars":{"sidereal_longitude":62.444,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":89.5955,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":210.7432,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":102.3172,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":296.1047,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":334.0019,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":154.0019,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","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":-3165,"month":5,"day":15,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565175.770833,"kali_year":-63,"ahargana":-23289.7292,"sun":{"sidereal_longitude":85.2414,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":207.7543,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":122.5129,"elapsed_within_tithi_degrees":2.5129},"nakshatra":{"number":16,"name":"Viśākhā","pada":3,"moon_longitude":207.7543,"elapsed_within_degrees":7.7543},"yoga":{"number":22,"name":"Sādhya","sum_longitude":292.9957},"karana":{"half_tithi_index":20,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.628,"elongation":122.513},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.628,"opposition_distance":57.487}},"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":"05:25","sunsetLocal":"18:30","solarNoonLocal":"11:57","dayLengthHours":13.081833804470666,"dayLengthDisplay":"13 Hours 04 Mins 55 Secs","nightLengthDisplay":"10 Hours 55 Mins 05 Secs","moonriseLocal":"13:49","moonsetLocal":"02:26","rahuKala":{"name":"Rāhu Kāla","start":"13:36","end":"15:14","startHours":13.592359209960065,"endHours":15.2275884355189,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:25","end":"07:03","startHours":5.416213082165901,"endHours":7.051442307724734,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:41","end":"10:19","startHours":8.686671533283567,"endHours":10.3219007588424,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:28","end":"08:54","startHours":8.468640969875722,"endHours":8.904702096691413,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:58","end":"06:19","startHours":5.961289490685512,"endHours":6.310138392138063,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:31","end":"12:24","startHours":11.521068857585544,"endHours":12.393191111216922,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:40","end":"04:33","startHours":3.671968574903145,"endHours":4.544090828534523,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:20","end":"05:25","startHours":4.326060265126678,"endHours":5.416213082165901,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:08","end":"15:01","startHours":14.137435618479678,"endHours":15.009557872111056,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:18","end":"18:42","startHours":18.298046886636566,"endHours":18.698046886636565,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:30","end":"19:03","startHours":18.498046886636565,"endHours":19.043123295156178,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:15","end":"20:00","startHours":18.248046886636565,"endHours":19.998046886636565,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:31","end":"00:24","startHours":23.521068857585547,"endHours":24.39319111121692,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:25","end":"07:03","startHours":5.416213082165901,"endHours":7.051442307724734,"quality":"auspicious"},{"name":"Roga","start":"07:03","end":"08:41","startHours":7.051442307724734,"endHours":8.686671533283567,"quality":"inauspicious"},{"name":"Udveg","start":"08:41","end":"10:19","startHours":8.686671533283567,"endHours":10.3219007588424,"quality":"inauspicious"},{"name":"Chala","start":"10:19","end":"11:57","startHours":10.3219007588424,"endHours":11.957129984401234,"quality":"neutral"},{"name":"Labha","start":"11:57","end":"13:36","startHours":11.957129984401234,"endHours":13.592359209960065,"quality":"auspicious"},{"name":"Amṛta","start":"13:36","end":"15:14","startHours":13.592359209960065,"endHours":15.2275884355189,"quality":"auspicious"},{"name":"Kāla","start":"15:14","end":"16:52","startHours":15.2275884355189,"endHours":16.862817661077734,"quality":"inauspicious"},{"name":"Śubha","start":"16:52","end":"18:30","startHours":16.862817661077734,"endHours":18.498046886636565,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:30","end":"19:52","startHours":18.498046886636565,"endHours":19.86281766107773,"quality":"auspicious"},{"name":"Kāla","start":"19:52","end":"21:14","startHours":19.86281766107773,"endHours":21.2275884355189,"quality":"inauspicious"},{"name":"Śubha","start":"21:14","end":"22:36","startHours":21.2275884355189,"endHours":22.592359209960065,"quality":"auspicious"},{"name":"Roga","start":"22:36","end":"23:57","startHours":22.592359209960065,"endHours":23.957129984401234,"quality":"inauspicious"},{"name":"Udveg","start":"23:57","end":"01:19","startHours":23.957129984401234,"endHours":25.3219007588424,"quality":"inauspicious"},{"name":"Chala","start":"01:19","end":"02:41","startHours":25.3219007588424,"endHours":26.686671533283565,"quality":"neutral"},{"name":"Labha","start":"02:41","end":"04:03","startHours":26.686671533283565,"endHours":28.051442307724734,"quality":"auspicious"},{"name":"Amṛta","start":"04:03","end":"05:25","startHours":28.051442307724734,"endHours":29.4162130821659,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:25","end":"06:25","startHours":5.416213082165901,"endHours":6.416213082165901,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:25","end":"07:25","startHours":6.416213082165901,"endHours":7.416213082165901,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:25","end":"08:25","startHours":7.416213082165901,"endHours":8.4162130821659,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:25","end":"09:25","startHours":8.4162130821659,"endHours":9.4162130821659,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:25","end":"10:25","startHours":9.4162130821659,"endHours":10.4162130821659,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:25","end":"11:25","startHours":10.4162130821659,"endHours":11.4162130821659,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:25","end":"12:25","startHours":11.4162130821659,"endHours":12.4162130821659,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:25","end":"13:25","startHours":12.4162130821659,"endHours":13.4162130821659,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:25","end":"14:25","startHours":13.4162130821659,"endHours":14.4162130821659,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:25","end":"15:25","startHours":14.4162130821659,"endHours":15.4162130821659,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:25","end":"16:25","startHours":15.4162130821659,"endHours":16.4162130821659,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:25","end":"17:25","startHours":16.4162130821659,"endHours":17.4162130821659,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:25","end":"18:25","startHours":17.4162130821659,"endHours":18.4162130821659,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:25","end":"19:25","startHours":18.4162130821659,"endHours":19.4162130821659,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:25","end":"20:25","startHours":19.4162130821659,"endHours":20.4162130821659,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:25","end":"21:25","startHours":20.4162130821659,"endHours":21.4162130821659,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:25","end":"22:25","startHours":21.4162130821659,"endHours":22.4162130821659,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:25","end":"23:25","startHours":22.4162130821659,"endHours":23.4162130821659,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:25","end":"00:25","startHours":23.4162130821659,"endHours":24.4162130821659,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:25","end":"01:25","startHours":24.4162130821659,"endHours":25.4162130821659,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:25","end":"02:25","startHours":25.4162130821659,"endHours":26.4162130821659,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:25","end":"03:25","startHours":26.4162130821659,"endHours":27.4162130821659,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:25","end":"04:25","startHours":27.4162130821659,"endHours":28.4162130821659,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:25","end":"05:25","startHours":28.4162130821659,"endHours":29.4162130821659,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"North","rahuVasa":"North-West","anandadiYoga":{"name":"Prajāpati","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":13.831768357136433,"eotMinutes":3.7562009359260493,"ayanamsa":-48.2936}},"calendars":{"vikram_samvat":-3108,"saka_samvat":-3243,"bengali_samvat":-3758,"malayalam_era":-3989,"nanakshahi_year":-4634,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Ekādaśī · Vikram -3108 undefined · Śaka -3243 undefined"},"festivals":[{"id":"devshayani-ekadashi","name":"Devśayanī Ekādaśī","name_sanskrit":"देवशयनी एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Bhagavān Viṣṇu enters yoga-nidrā; Cāturmāsya begins.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Āṣāḍha"},"precedence":3},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Viśākhā","url":"/day/-0562-04-11","relevance":0.5}]},"validity":{"eternal":true,"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 15, 3166 BCE · Ayodhyā · Vidhyamitra","description":"May 15, 3166 BCE for Ayodhyā: Śukla Ekādaśī, sūryodaya 05:25, sūryāsta 18:30.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/-3165-05-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/-3165-05-15","sa":"https://sa.vidhyamitra.com/city/ayodhya/-3165-05-15","hi":"https://hi.vidhyamitra.com/city/ayodhya/-3165-05-15","x-default":"https://vidhyamitra.com/city/ayodhya/-3165-05-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T19:23:32.421Z","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":"2026-05-31T19:23:32.421Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T19:23:32.421Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}