{"id":"vidhyamitra:city-day:ayodhya:2165-05-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/2165-05-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2165-05-21","date_display":"May 21, 2165 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":2165,"month":5,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511950.770833,"kali_year":5267,"ahargana":1923485.2708,"sun":{"sidereal_longitude":33.811,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":155.7078,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":121.8967,"elapsed_within_tithi_degrees":1.8967},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3,"moon_longitude":155.7078,"elapsed_within_degrees":9.0411},"yoga":{"number":15,"name":"Vajra","sum_longitude":189.5188},"karana":{"half_tithi_index":20,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2165,"month":5,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2511950.770833,"ahargana":1923485.2708,"kali_year":5267,"ayanamsa_lahiri":26.1633,"grahas":{"sun":{"sidereal_longitude":34.241265999999996,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":156.329966,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false,"latitude":0.8743},"mars":{"sidereal_longitude":338.346766,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":51.724965999999995,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":354.824966,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":56.813466000000005,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":249.52096600000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":144.4939,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":324.4939,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"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":2165,"month":5,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511950.770833,"kali_year":5267,"ahargana":1923485.2708,"sun":{"sidereal_longitude":33.811,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":155.7078,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":121.8967,"elapsed_within_tithi_degrees":1.8967},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3,"moon_longitude":155.7078,"elapsed_within_degrees":9.0411},"yoga":{"number":15,"name":"Vajra","sum_longitude":189.5188},"karana":{"half_tithi_index":20,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.874,"elongation":121.897},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.874,"opposition_distance":58.103}},"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":"18:45","solarNoonLocal":"11:58","dayLengthHours":13.565848960190365,"dayLengthDisplay":"13 Hours 33 Mins 57 Secs","nightLengthDisplay":"10 Hours 26 Mins 03 Secs","moonriseLocal":"14:05","moonsetLocal":"02:07","rahuKala":{"name":"Rāhu Kāla","start":"15:21","end":"17:03","startHours":15.352205277006291,"endHours":17.047936397030085,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:34","end":"10:16","startHours":8.569280796911109,"endHours":10.265011916934903,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:58","end":"13:39","startHours":11.9607430369587,"endHours":13.656474156982494,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:21","end":"08:48","startHours":8.34318331424127,"endHours":8.795378279580948,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:45","end":"06:06","startHours":5.743062263538115,"endHours":6.104818235809858,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:31","end":"12:25","startHours":11.508548071619021,"endHours":12.412938002298379,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:22","end":"04:16","startHours":3.369038695504801,"endHours":4.273428626184159,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:03","end":"05:11","startHours":4.047331143514319,"endHours":5.177818556863516,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:13","end":"15:08","startHours":14.221717863657094,"endHours":15.126107794336452,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:33","end":"18:57","startHours":18.543667517053883,"endHours":18.943667517053882,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:45","end":"19:19","startHours":18.743667517053883,"endHours":19.30891122372848,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:30","end":"20:15","startHours":18.493667517053883,"endHours":20.243667517053883,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:31","end":"00:25","startHours":23.50854807161902,"endHours":24.41293800229838,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:11","end":"06:52","startHours":5.177818556863516,"endHours":6.873549676887312,"quality":"inauspicious"},{"name":"Udveg","start":"06:52","end":"08:34","startHours":6.873549676887312,"endHours":8.569280796911109,"quality":"inauspicious"},{"name":"Chala","start":"08:34","end":"10:16","startHours":8.569280796911109,"endHours":10.265011916934903,"quality":"neutral"},{"name":"Labha","start":"10:16","end":"11:58","startHours":10.265011916934903,"endHours":11.9607430369587,"quality":"auspicious"},{"name":"Amṛta","start":"11:58","end":"13:39","startHours":11.9607430369587,"endHours":13.656474156982494,"quality":"auspicious"},{"name":"Kāla","start":"13:39","end":"15:21","startHours":13.656474156982494,"endHours":15.352205277006291,"quality":"inauspicious"},{"name":"Śubha","start":"15:21","end":"17:03","startHours":15.352205277006291,"endHours":17.047936397030085,"quality":"auspicious"},{"name":"Roga","start":"17:03","end":"18:45","startHours":17.047936397030085,"endHours":18.743667517053883,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:45","end":"20:03","startHours":18.743667517053883,"endHours":20.047936397030085,"quality":"inauspicious"},{"name":"Śubha","start":"20:03","end":"21:21","startHours":20.047936397030085,"endHours":21.35220527700629,"quality":"auspicious"},{"name":"Roga","start":"21:21","end":"22:39","startHours":21.35220527700629,"endHours":22.656474156982497,"quality":"inauspicious"},{"name":"Udveg","start":"22:39","end":"23:58","startHours":22.656474156982497,"endHours":23.9607430369587,"quality":"inauspicious"},{"name":"Chala","start":"23:58","end":"01:16","startHours":23.9607430369587,"endHours":25.265011916934903,"quality":"neutral"},{"name":"Labha","start":"01:16","end":"02:34","startHours":25.265011916934903,"endHours":26.56928079691111,"quality":"auspicious"},{"name":"Amṛta","start":"02:34","end":"03:52","startHours":26.56928079691111,"endHours":27.873549676887315,"quality":"auspicious"},{"name":"Kāla","start":"03:52","end":"05:11","startHours":27.873549676887315,"endHours":29.177818556863517,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:11","end":"06:11","startHours":5.177818556863516,"endHours":6.177818556863516,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:11","end":"07:11","startHours":6.177818556863516,"endHours":7.177818556863516,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:11","end":"08:11","startHours":7.177818556863516,"endHours":8.177818556863517,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:11","end":"09:11","startHours":8.177818556863517,"endHours":9.177818556863517,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:11","end":"10:11","startHours":9.177818556863517,"endHours":10.177818556863517,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:11","end":"11:11","startHours":10.177818556863517,"endHours":11.177818556863517,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:11","end":"12:11","startHours":11.177818556863517,"endHours":12.177818556863517,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:11","end":"13:11","startHours":12.177818556863517,"endHours":13.177818556863517,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:11","end":"14:11","startHours":13.177818556863517,"endHours":14.177818556863517,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:11","end":"15:11","startHours":14.177818556863517,"endHours":15.177818556863517,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:11","end":"16:11","startHours":15.177818556863517,"endHours":16.177818556863517,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:11","end":"17:11","startHours":16.177818556863517,"endHours":17.177818556863517,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:11","end":"18:11","startHours":17.177818556863517,"endHours":18.177818556863517,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:11","end":"19:11","startHours":18.177818556863517,"endHours":19.177818556863517,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:11","end":"20:11","startHours":19.177818556863517,"endHours":20.177818556863517,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:11","end":"21:11","startHours":20.177818556863517,"endHours":21.177818556863517,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:11","end":"22:11","startHours":21.177818556863517,"endHours":22.177818556863517,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:11","end":"23:11","startHours":22.177818556863517,"endHours":23.177818556863517,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:11","end":"00:11","startHours":23.177818556863517,"endHours":24.177818556863517,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:11","end":"01:11","startHours":24.177818556863517,"endHours":25.177818556863517,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:11","end":"02:11","startHours":25.177818556863517,"endHours":26.177818556863517,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:11","end":"03:11","startHours":26.177818556863517,"endHours":27.177818556863517,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:11","end":"04:11","startHours":27.177818556863517,"endHours":28.177818556863517,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:11","end":"05:11","startHours":28.177818556863517,"endHours":29.177818556863517,"planetary_lord":"Saturn"}],"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":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"North-West","rahuVasa":"North","anandadiYoga":{"name":"Śubha","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":20.233203848657716,"eotMinutes":3.539417782478063,"ayanamsa":26.1633}},"calendars":{"vikram_samvat":2222,"vikram_samvatsara":"Bahudhānya","saka_samvat":2087,"saka_samvatsara":"Krodhana","bengali_samvat":1572,"malayalam_era":1341,"nanakshahi_year":696,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Ekādaśī · Vikram 2222 Bahudhānya · Śaka 2087 Krodhana"},"festivals":[{"id":"mohini-ekadashi","name":"Mohinī Ekādaśī","name_sanskrit":"मोहिनी एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu (Mohinī form)","significance":"Mohinī-form of Viṣṇu deceived asuras during samudra-mathana for amṛta.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":3,"sources":["Bhāgavata 8.9"]},{"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":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 21, 2165 CE · Ayodhyā · Vidhyamitra","description":"May 21, 2165 CE for Ayodhyā: Śukla Ekādaśī, sūryodaya 05:11, sūryāsta 18:45.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/2165-05-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/2165-05-21","sa":"https://sa.vidhyamitra.com/city/ayodhya/2165-05-21","hi":"https://hi.vidhyamitra.com/city/ayodhya/2165-05-21","x-default":"https://vidhyamitra.com/city/ayodhya/2165-05-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T13:25:44.191Z","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":"2026-06-01T13:25:44.191Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T13:25:44.191Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}