{"id":"vidhyamitra:city-day:ayodhya:-3171-08-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/-3171-08-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3171-08-20","date_display":"August 20, 3172 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":-3171,"month":8,"day":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":563081.770833,"kali_year":-69,"ahargana":-25383.7292,"sun":{"sidereal_longitude":179.4146,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":336.733,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":157.3185,"elapsed_within_tithi_degrees":1.3185},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2,"moon_longitude":336.733,"elapsed_within_degrees":3.3997},"yoga":{"number":12,"name":"Dhruva","sum_longitude":156.1476},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":-3171,"month":8,"day":20,"hour":6,"minute":30,"calendar":"julian"},"julian_day":563081.770833,"ahargana":-25383.7292,"kali_year":-69,"ayanamsa_lahiri":-48.3736,"grahas":{"sun":{"sidereal_longitude":179.4146,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":336.733,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false,"latitude":-4.274},"mars":{"sidereal_longitude":66.2807,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":178.5453,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":66.0384,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":153.072,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":true},"saturn":{"sidereal_longitude":228.4212,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":84.9521,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":264.9521,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"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":-3171,"month":8,"day":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":563081.770833,"kali_year":-69,"ahargana":-25383.7292,"sun":{"sidereal_longitude":179.4146,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":336.733,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":157.3185,"elapsed_within_tithi_degrees":1.3185},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2,"moon_longitude":336.733,"elapsed_within_degrees":3.3997},"yoga":{"number":12,"name":"Dhruva","sum_longitude":156.1476},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.274,"elongation":157.318},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.274,"opposition_distance":22.682}},"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":"05:24","sunsetLocal":"18:45","solarNoonLocal":"12:04","dayLengthHours":13.350934001270215,"dayLengthDisplay":"13 Hours 21 Mins 03 Secs","nightLengthDisplay":"10 Hours 38 Mins 57 Secs","moonriseLocal":"17:18","moonsetLocal":"03:49","rahuKala":{"name":"Rāhu Kāla","start":"12:04","end":"13:44","startHours":12.070566848508838,"endHours":13.739433598667615,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:04","end":"08:44","startHours":7.063966598032508,"endHours":8.732833348191285,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:24","end":"12:04","startHours":10.40170009835006,"endHours":12.070566848508838,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:31","end":"08:57","startHours":8.510317781503447,"endHours":8.95534891487912,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:57","end":"06:18","startHours":5.9513887645933226,"endHours":6.307413671293862,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:38","end":"12:31","startHours":11.625535715133164,"endHours":12.515597981884511,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:37","end":"04:30","startHours":3.6149753143710353,"endHours":4.505037581122383,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:17","end":"05:24","startHours":4.282522014434546,"endHours":5.39509984787373,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:18","end":"15:11","startHours":14.295722515387208,"endHours":15.185784782138557,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:33","end":"18:57","startHours":18.546033849143946,"endHours":18.946033849143944,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:45","end":"19:18","startHours":18.746033849143945,"endHours":19.302322765863536,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:30","end":"20:15","startHours":18.496033849143945,"endHours":20.246033849143945,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:38","end":"00:31","startHours":23.625535715133164,"endHours":24.515597981884515,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:24","end":"07:04","startHours":5.39509984787373,"endHours":7.063966598032508,"quality":"auspicious"},{"name":"Amṛta","start":"07:04","end":"08:44","startHours":7.063966598032508,"endHours":8.732833348191285,"quality":"auspicious"},{"name":"Kāla","start":"08:44","end":"10:24","startHours":8.732833348191285,"endHours":10.40170009835006,"quality":"inauspicious"},{"name":"Śubha","start":"10:24","end":"12:04","startHours":10.40170009835006,"endHours":12.070566848508838,"quality":"auspicious"},{"name":"Roga","start":"12:04","end":"13:44","startHours":12.070566848508838,"endHours":13.739433598667615,"quality":"inauspicious"},{"name":"Udveg","start":"13:44","end":"15:24","startHours":13.739433598667615,"endHours":15.40830034882639,"quality":"inauspicious"},{"name":"Chala","start":"15:24","end":"17:05","startHours":15.40830034882639,"endHours":17.077167098985168,"quality":"neutral"},{"name":"Labha","start":"17:05","end":"18:45","startHours":17.077167098985168,"endHours":18.746033849143945,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:45","end":"20:05","startHours":18.746033849143945,"endHours":20.077167098985168,"quality":"inauspicious"},{"name":"Chala","start":"20:05","end":"21:24","startHours":20.077167098985168,"endHours":21.40830034882639,"quality":"neutral"},{"name":"Labha","start":"21:24","end":"22:44","startHours":21.40830034882639,"endHours":22.739433598667613,"quality":"auspicious"},{"name":"Amṛta","start":"22:44","end":"00:04","startHours":22.739433598667613,"endHours":24.07056684850884,"quality":"auspicious"},{"name":"Kāla","start":"00:04","end":"01:24","startHours":24.07056684850884,"endHours":25.401700098350062,"quality":"inauspicious"},{"name":"Śubha","start":"01:24","end":"02:44","startHours":25.401700098350062,"endHours":26.732833348191285,"quality":"auspicious"},{"name":"Roga","start":"02:44","end":"04:04","startHours":26.732833348191285,"endHours":28.063966598032508,"quality":"inauspicious"},{"name":"Udveg","start":"04:04","end":"05:24","startHours":28.063966598032508,"endHours":29.39509984787373,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:24","end":"06:24","startHours":5.39509984787373,"endHours":6.39509984787373,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:24","end":"07:24","startHours":6.39509984787373,"endHours":7.39509984787373,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:24","end":"08:24","startHours":7.39509984787373,"endHours":8.39509984787373,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:24","end":"09:24","startHours":8.39509984787373,"endHours":9.39509984787373,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:24","end":"10:24","startHours":9.39509984787373,"endHours":10.39509984787373,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:24","end":"11:24","startHours":10.39509984787373,"endHours":11.39509984787373,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:24","end":"12:24","startHours":11.39509984787373,"endHours":12.39509984787373,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:24","end":"13:24","startHours":12.39509984787373,"endHours":13.39509984787373,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:24","end":"14:24","startHours":13.39509984787373,"endHours":14.39509984787373,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:24","end":"15:24","startHours":14.39509984787373,"endHours":15.39509984787373,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:24","end":"16:24","startHours":15.39509984787373,"endHours":16.39509984787373,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:24","end":"17:24","startHours":16.39509984787373,"endHours":17.39509984787373,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:24","end":"18:24","startHours":17.39509984787373,"endHours":18.39509984787373,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:24","end":"19:24","startHours":18.39509984787373,"endHours":19.39509984787373,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:24","end":"20:24","startHours":19.39509984787373,"endHours":20.39509984787373,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:24","end":"21:24","startHours":20.39509984787373,"endHours":21.39509984787373,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:24","end":"22:24","startHours":21.39509984787373,"endHours":22.39509984787373,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:24","end":"23:24","startHours":22.39509984787373,"endHours":23.39509984787373,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:24","end":"00:24","startHours":23.39509984787373,"endHours":24.39509984787373,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:24","end":"01:24","startHours":24.39509984787373,"endHours":25.39509984787373,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:24","end":"02:24","startHours":25.39509984787373,"endHours":26.39509984787373,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:24","end":"03:24","startHours":26.39509984787373,"endHours":27.39509984787373,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:24","end":"04:24","startHours":27.39509984787373,"endHours":28.39509984787373,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:24","end":"05:24","startHours":28.39509984787373,"endHours":29.39509984787373,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"South-West","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":17.4567442411797,"eotMinutes":-3.0500109105302213,"ayanamsa":-48.3736}},"calendars":{"vikram_samvat":-3114,"saka_samvat":-3249,"bengali_samvat":-3764,"malayalam_era":-3995,"nanakshahi_year":-4640,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Caturdaśī · Vikram -3114 undefined · Śaka -3249 undefined"},"festivals":[{"id":"tula-sankranti","name":"Tulā Saṅkrānti","name_sanskrit":"तुला सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Libra.","vrata":false,"detection":{"sun_rashi_ingress":"Tulā"},"precedence":5}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[]},"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 August 20, 3172 BCE · Ayodhyā · Vidhyamitra","description":"August 20, 3172 BCE for Ayodhyā: Śukla Caturdaśī, sūryodaya 05:24, sūryāsta 18:45.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/-3171-08-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/-3171-08-20","sa":"https://sa.vidhyamitra.com/city/ayodhya/-3171-08-20","hi":"https://hi.vidhyamitra.com/city/ayodhya/-3171-08-20","x-default":"https://vidhyamitra.com/city/ayodhya/-3171-08-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T20:12:10.090Z","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":"2026-06-01T20:12:10.090Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T20:12:10.090Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}