{"id":"vidhyamitra:city-day:ayodhya:-3171-12-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/-3171-12-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3171-12-15","date_display":"December 15, 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":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":563198.770833,"kali_year":-69,"ahargana":-25266.7292,"sun":{"sidereal_longitude":298.6187,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":81.158,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":142.5392,"elapsed_within_tithi_degrees":10.5392},"nakshatra":{"number":7,"name":"Punarvasu","pada":1,"moon_longitude":81.158,"elapsed_within_degrees":1.158},"yoga":{"number":2,"name":"Prīti","sum_longitude":19.7767},"karana":{"half_tithi_index":23,"name":"Bālava"},"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":12,"day":15,"hour":6,"minute":30,"calendar":"julian"},"julian_day":563198.770833,"ahargana":-25266.7292,"kali_year":-69,"ayanamsa_lahiri":-48.3692,"grahas":{"sun":{"sidereal_longitude":298.6187,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":81.158,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false,"latitude":0.1886},"mars":{"sidereal_longitude":56.3788,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":289.2063,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":55.7251,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":258.7391,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":240.6379,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":78.7529,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":258.7529,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":-3171,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":563198.770833,"kali_year":-69,"ahargana":-25266.7292,"sun":{"sidereal_longitude":298.6187,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":81.158,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":142.5392,"elapsed_within_tithi_degrees":10.5392},"nakshatra":{"number":7,"name":"Punarvasu","pada":1,"moon_longitude":81.158,"elapsed_within_degrees":1.158},"yoga":{"number":2,"name":"Prīti","sum_longitude":19.7767},"karana":{"half_tithi_index":23,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.189,"elongation":142.539},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.189,"opposition_distance":37.461}},"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":"06:40","sunsetLocal":"17:14","solarNoonLocal":"11:57","dayLengthHours":10.568074822421707,"dayLengthDisplay":"10 Hours 34 Mins 05 Secs","nightLengthDisplay":"13 Hours 25 Mins 55 Secs","moonriseLocal":"14:59","moonsetLocal":"03:55","rahuKala":{"name":"Rāhu Kāla","start":"07:59","end":"09:18","startHours":7.987073024365659,"endHours":9.308082377168372,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:38","end":"11:57","startHours":10.629091729971087,"endHours":11.950101082773799,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:16","end":"14:36","startHours":13.271110435576514,"endHours":14.592119788379225,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:08","end":"09:29","startHours":9.131947796794677,"endHours":9.484216957542067,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:06","end":"07:23","startHours":7.106400122497184,"endHours":7.388215451095096,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:36","end":"12:18","startHours":11.597831922026408,"endHours":12.302370243521189,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:15","end":"05:58","startHours":5.256987028573385,"endHours":5.9615253500681655,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:47","end":"06:40","startHours":5.78539076969447,"endHours":6.666063671562946,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:43","end":"14:25","startHours":13.71144688651075,"endHours":14.41598520800553,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:02","end":"17:26","startHours":17.034138493984653,"endHours":17.43413849398465,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:14","end":"17:40","startHours":17.234138493984652,"endHours":17.67447494491889,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:59","end":"18:44","startHours":16.984138493984652,"endHours":18.734138493984652,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:36","end":"00:18","startHours":23.59783192202641,"endHours":24.30237024352119,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:40","end":"07:59","startHours":6.666063671562946,"endHours":7.987073024365659,"quality":"auspicious"},{"name":"Kāla","start":"07:59","end":"09:18","startHours":7.987073024365659,"endHours":9.308082377168372,"quality":"inauspicious"},{"name":"Śubha","start":"09:18","end":"10:38","startHours":9.308082377168372,"endHours":10.629091729971087,"quality":"auspicious"},{"name":"Roga","start":"10:38","end":"11:57","startHours":10.629091729971087,"endHours":11.950101082773799,"quality":"inauspicious"},{"name":"Udveg","start":"11:57","end":"13:16","startHours":11.950101082773799,"endHours":13.271110435576514,"quality":"inauspicious"},{"name":"Chala","start":"13:16","end":"14:36","startHours":13.271110435576514,"endHours":14.592119788379225,"quality":"neutral"},{"name":"Labha","start":"14:36","end":"15:55","startHours":14.592119788379225,"endHours":15.91312914118194,"quality":"auspicious"},{"name":"Amṛta","start":"15:55","end":"17:14","startHours":15.91312914118194,"endHours":17.234138493984652,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:14","end":"18:55","startHours":17.234138493984652,"endHours":18.91312914118194,"quality":"neutral"},{"name":"Labha","start":"18:55","end":"20:36","startHours":18.91312914118194,"endHours":20.592119788379225,"quality":"auspicious"},{"name":"Amṛta","start":"20:36","end":"22:16","startHours":20.592119788379225,"endHours":22.27111043557651,"quality":"auspicious"},{"name":"Kāla","start":"22:16","end":"23:57","startHours":22.27111043557651,"endHours":23.9501010827738,"quality":"inauspicious"},{"name":"Śubha","start":"23:57","end":"01:38","startHours":23.9501010827738,"endHours":25.629091729971087,"quality":"auspicious"},{"name":"Roga","start":"01:38","end":"03:18","startHours":25.629091729971087,"endHours":27.308082377168372,"quality":"inauspicious"},{"name":"Udveg","start":"03:18","end":"04:59","startHours":27.308082377168372,"endHours":28.987073024365657,"quality":"inauspicious"},{"name":"Chala","start":"04:59","end":"06:40","startHours":28.987073024365657,"endHours":30.666063671562945,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:40","end":"07:40","startHours":6.666063671562946,"endHours":7.666063671562946,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:40","end":"08:40","startHours":7.666063671562946,"endHours":8.666063671562945,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:40","end":"09:40","startHours":8.666063671562945,"endHours":9.666063671562945,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:40","end":"10:40","startHours":9.666063671562945,"endHours":10.666063671562945,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:40","end":"11:40","startHours":10.666063671562945,"endHours":11.666063671562945,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:40","end":"12:40","startHours":11.666063671562945,"endHours":12.666063671562945,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:40","end":"13:40","startHours":12.666063671562945,"endHours":13.666063671562945,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:40","end":"14:40","startHours":13.666063671562945,"endHours":14.666063671562945,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:40","end":"15:40","startHours":14.666063671562945,"endHours":15.666063671562945,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:40","end":"16:40","startHours":15.666063671562945,"endHours":16.666063671562945,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:40","end":"17:40","startHours":16.666063671562945,"endHours":17.666063671562945,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:40","end":"18:40","startHours":17.666063671562945,"endHours":18.666063671562945,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:40","end":"19:40","startHours":18.666063671562945,"endHours":19.666063671562945,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:40","end":"20:40","startHours":19.666063671562945,"endHours":20.666063671562945,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:40","end":"21:40","startHours":20.666063671562945,"endHours":21.666063671562945,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:40","end":"22:40","startHours":21.666063671562945,"endHours":22.666063671562945,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:40","end":"23:40","startHours":22.666063671562945,"endHours":23.666063671562945,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:40","end":"00:40","startHours":23.666063671562945,"endHours":24.666063671562945,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:40","end":"01:40","startHours":24.666063671562945,"endHours":25.666063671562945,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:40","end":"02:40","startHours":25.666063671562945,"endHours":26.666063671562945,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:40","end":"03:40","startHours":26.666063671562945,"endHours":27.666063671562945,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:40","end":"04:40","startHours":27.666063671562945,"endHours":28.666063671562945,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:40","end":"05:40","startHours":28.666063671562945,"endHours":29.666063671562945,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:40","end":"06:40","startHours":29.666063671562945,"endHours":30.666063671562945,"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","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Chatra","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-21.983222691613115,"eotMinutes":4.177935033572184,"ayanamsa":-48.3692}},"calendars":{"vikram_samvat":-3114,"saka_samvat":-3249,"bengali_samvat":-3764,"malayalam_era":-3995,"nanakshahi_year":-4640,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Māgha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Dvādaśī · 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":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Punarvasu","url":"/day/-1626101-04-03","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 December 15, 3172 BCE · Ayodhyā · Vidhyamitra","description":"December 15, 3172 BCE for Ayodhyā: Śukla Dvādaśī, sūryodaya 06:40, sūryāsta 17:14.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/-3171-12-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/-3171-12-15","sa":"https://sa.vidhyamitra.com/city/ayodhya/-3171-12-15","hi":"https://hi.vidhyamitra.com/city/ayodhya/-3171-12-15","x-default":"https://vidhyamitra.com/city/ayodhya/-3171-12-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T01:50:10.575Z","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":"2026-06-02T01:50:10.575Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T01:50:10.575Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}