{"id":"vidhyamitra:city-day:ayodhya:-3171-10-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/-3171-10-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3171-10-13","date_display":"October 13, 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":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":563135.770833,"kali_year":-69,"ahargana":-25329.7292,"sun":{"sidereal_longitude":234.0267,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":326.3659,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":92.3392,"elapsed_within_tithi_degrees":8.3392},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2,"moon_longitude":326.3659,"elapsed_within_degrees":6.3659},"yoga":{"number":16,"name":"Siddhi","sum_longitude":200.3926},"karana":{"half_tithi_index":15,"name":"Bava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":10,"day":13,"hour":6,"minute":30,"calendar":"julian"},"julian_day":563135.770833,"ahargana":-25329.7292,"kali_year":-69,"ayanamsa_lahiri":-48.3716,"grahas":{"sun":{"sidereal_longitude":234.0267,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":326.3659,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false,"latitude":-4.0532},"mars":{"sidereal_longitude":65.6372,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4},"retrograde":true},"mercury":{"sidereal_longitude":248.253,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":61.725,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":187.076,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":234.1882,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":82.0909,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":262.0909,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":-3171,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":563135.770833,"kali_year":-69,"ahargana":-25329.7292,"sun":{"sidereal_longitude":234.0267,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":326.3659,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":92.3392,"elapsed_within_tithi_degrees":8.3392},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2,"moon_longitude":326.3659,"elapsed_within_degrees":6.3659},"yoga":{"number":16,"name":"Siddhi","sum_longitude":200.3926},"karana":{"half_tithi_index":15,"name":"Bava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.053,"elongation":92.339},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.053,"opposition_distance":87.661}},"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":"05:48","sunsetLocal":"17:46","solarNoonLocal":"11:47","dayLengthHours":11.973170571135,"dayLengthDisplay":"11 Hours 58 Mins 23 Secs","nightLengthDisplay":"12 Hours 01 Mins 37 Secs","moonriseLocal":"12:43","moonsetLocal":"23:09","rahuKala":{"name":"Rāhu Kāla","start":"07:17","end":"08:47","startHours":7.289087215689787,"endHours":8.785733537081661,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:17","end":"11:47","startHours":10.282379858473536,"endHours":11.779026179865411,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:17","end":"14:46","startHours":13.275672501257286,"endHours":14.772318822649162,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:35","end":"08:59","startHours":8.586180694229412,"endHours":8.985286379933912,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:17","end":"06:37","startHours":6.2913230014285375,"endHours":6.610607549992137,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:23","end":"12:11","startHours":11.379920494160912,"endHours":12.178131865569911,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:12","end":"05:00","startHours":4.196018151479912,"endHours":4.994229522888912,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:48","end":"05:48","startHours":4.7946766800366625,"endHours":5.792440894297912,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:46","end":"14:34","startHours":13.774554608387913,"endHours":14.572765979796912,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:34","end":"17:58","startHours":17.565611465432912,"endHours":17.96561146543291,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:46","end":"18:16","startHours":17.76561146543291,"endHours":18.264493572563538,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:31","end":"19:16","startHours":17.51561146543291,"endHours":19.26561146543291,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:23","end":"00:11","startHours":23.37992049416091,"endHours":24.178131865569913,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:48","end":"07:17","startHours":5.792440894297912,"endHours":7.289087215689787,"quality":"auspicious"},{"name":"Kāla","start":"07:17","end":"08:47","startHours":7.289087215689787,"endHours":8.785733537081661,"quality":"inauspicious"},{"name":"Śubha","start":"08:47","end":"10:17","startHours":8.785733537081661,"endHours":10.282379858473536,"quality":"auspicious"},{"name":"Roga","start":"10:17","end":"11:47","startHours":10.282379858473536,"endHours":11.779026179865411,"quality":"inauspicious"},{"name":"Udveg","start":"11:47","end":"13:17","startHours":11.779026179865411,"endHours":13.275672501257286,"quality":"inauspicious"},{"name":"Chala","start":"13:17","end":"14:46","startHours":13.275672501257286,"endHours":14.772318822649162,"quality":"neutral"},{"name":"Labha","start":"14:46","end":"16:16","startHours":14.772318822649162,"endHours":16.268965144041037,"quality":"auspicious"},{"name":"Amṛta","start":"16:16","end":"17:46","startHours":16.268965144041037,"endHours":17.76561146543291,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:46","end":"19:16","startHours":17.76561146543291,"endHours":19.268965144041037,"quality":"neutral"},{"name":"Labha","start":"19:16","end":"20:46","startHours":19.268965144041037,"endHours":20.77231882264916,"quality":"auspicious"},{"name":"Amṛta","start":"20:46","end":"22:17","startHours":20.77231882264916,"endHours":22.275672501257286,"quality":"auspicious"},{"name":"Kāla","start":"22:17","end":"23:47","startHours":22.275672501257286,"endHours":23.77902617986541,"quality":"inauspicious"},{"name":"Śubha","start":"23:47","end":"01:17","startHours":23.77902617986541,"endHours":25.282379858473536,"quality":"auspicious"},{"name":"Roga","start":"01:17","end":"02:47","startHours":25.282379858473536,"endHours":26.78573353708166,"quality":"inauspicious"},{"name":"Udveg","start":"02:47","end":"04:17","startHours":26.78573353708166,"endHours":28.289087215689786,"quality":"inauspicious"},{"name":"Chala","start":"04:17","end":"05:48","startHours":28.289087215689786,"endHours":29.79244089429791,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:48","end":"06:48","startHours":5.792440894297912,"endHours":6.792440894297912,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:48","end":"07:48","startHours":6.792440894297912,"endHours":7.792440894297912,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:48","end":"08:48","startHours":7.792440894297912,"endHours":8.792440894297911,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:48","end":"09:48","startHours":8.792440894297911,"endHours":9.792440894297911,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:48","end":"10:48","startHours":9.792440894297911,"endHours":10.792440894297911,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:48","end":"11:48","startHours":10.792440894297911,"endHours":11.792440894297911,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:48","end":"12:48","startHours":11.792440894297911,"endHours":12.792440894297911,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:48","end":"13:48","startHours":12.792440894297911,"endHours":13.792440894297911,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:48","end":"14:48","startHours":13.792440894297911,"endHours":14.792440894297911,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:48","end":"15:48","startHours":14.792440894297911,"endHours":15.792440894297911,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:48","end":"16:48","startHours":15.792440894297911,"endHours":16.79244089429791,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:48","end":"17:48","startHours":16.79244089429791,"endHours":17.79244089429791,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:48","end":"18:48","startHours":17.79244089429791,"endHours":18.79244089429791,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:48","end":"19:48","startHours":18.79244089429791,"endHours":19.79244089429791,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:48","end":"20:48","startHours":19.79244089429791,"endHours":20.79244089429791,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:48","end":"21:48","startHours":20.79244089429791,"endHours":21.79244089429791,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:48","end":"22:48","startHours":21.79244089429791,"endHours":22.79244089429791,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:48","end":"23:48","startHours":22.79244089429791,"endHours":23.79244089429791,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:48","end":"00:48","startHours":23.79244089429791,"endHours":24.79244089429791,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:48","end":"01:48","startHours":24.79244089429791,"endHours":25.79244089429791,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:48","end":"02:48","startHours":25.79244089429791,"endHours":26.79244089429791,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:48","end":"03:48","startHours":26.79244089429791,"endHours":27.79244089429791,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:48","end":"04:48","startHours":27.79244089429791,"endHours":28.79244089429791,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:48","end":"05:48","startHours":28.79244089429791,"endHours":29.79244089429791,"planetary_lord":"Venus"}],"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","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-2.2461420321149728,"eotMinutes":14.442429208075392,"ayanamsa":-48.3716}},"calendars":{"vikram_samvat":-3114,"saka_samvat":-3249,"bengali_samvat":-3764,"malayalam_era":-3995,"nanakshahi_year":-4640,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Aṣṭamī · Vikram -3114 undefined · Śaka -3249 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Śukla Aṣṭamī","url":"/day/-3137-12-25","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 October 13, 3172 BCE · Ayodhyā · Vidhyamitra","description":"October 13, 3172 BCE for Ayodhyā: Śukla Aṣṭamī, sūryodaya 05:48, sūryāsta 17:46.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/-3171-10-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/-3171-10-13","sa":"https://sa.vidhyamitra.com/city/ayodhya/-3171-10-13","hi":"https://hi.vidhyamitra.com/city/ayodhya/-3171-10-13","x-default":"https://vidhyamitra.com/city/ayodhya/-3171-10-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T12:59:11.474Z","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":"2026-05-31T12:59:11.474Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T12:59:11.474Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}