{"id":"vidhyamitra:city-day:ayodhya:-3111-12-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/-3111-12-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3111-12-15","date_display":"December 15, 3112 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":-3111,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":585113.770833,"kali_year":-9,"ahargana":-3351.7292,"sun":{"sidereal_longitude":298.0843,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":112.6022,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":174.5179,"elapsed_within_tithi_degrees":6.5179},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2,"moon_longitude":112.6022,"elapsed_within_degrees":5.9356},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":50.6865},"karana":{"half_tithi_index":29,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":-3111,"month":12,"day":15,"hour":6,"minute":30,"calendar":"julian"},"julian_day":585113.770833,"ahargana":-3351.7292,"kali_year":-9,"ayanamsa_lahiri":-47.531,"grahas":{"sun":{"sidereal_longitude":298.0843,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":112.6022,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2},"retrograde":false,"latitude":4.0773},"mars":{"sidereal_longitude":15.8315,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":300.2302,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":79.9302,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":334.7977,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":250.7273,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":357.5907,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":177.5907,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","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":-3111,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":585113.770833,"kali_year":-9,"ahargana":-3351.7292,"sun":{"sidereal_longitude":298.0843,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":112.6022,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":174.5179,"elapsed_within_tithi_degrees":6.5179},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2,"moon_longitude":112.6022,"elapsed_within_degrees":5.9356},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":50.6865},"karana":{"half_tithi_index":29,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.077,"elongation":174.518},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.077,"opposition_distance":5.482}},"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":10.564630770428174,"dayLengthDisplay":"10 Hours 33 Mins 53 Secs","nightLengthDisplay":"13 Hours 26 Mins 07 Secs","moonriseLocal":"16:47","moonsetLocal":"06:23","rahuKala":{"name":"Rāhu Kāla","start":"09:19","end":"10:38","startHours":9.308943390166755,"endHours":10.629522236470276,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:16","end":"14:35","startHours":13.270679929077321,"endHours":14.591258775380842,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:40","end":"07:59","startHours":6.667785697559712,"endHours":7.988364543863233,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:08","end":"09:29","startHours":9.132866210659618,"endHours":9.48502056967389,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:06","end":"07:23","startHours":7.1079786463275525,"endHours":7.389702133538971,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:36","end":"12:18","startHours":11.597946723759526,"endHours":12.302255441788072,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:16","end":"05:58","startHours":5.259168261502622,"endHours":5.963476979531166,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:47","end":"06:40","startHours":5.787399800024031,"endHours":6.667785697559712,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:43","end":"14:25","startHours":13.71087287784516,"endHours":14.415181595873705,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:02","end":"17:26","startHours":17.032416467987886,"endHours":17.432416467987885,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:14","end":"17:40","startHours":17.232416467987886,"endHours":17.672609416755726,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:59","end":"18:44","startHours":16.982416467987886,"endHours":18.732416467987886,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:36","end":"00:18","startHours":23.597946723759527,"endHours":24.30225544178807,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:40","end":"07:59","startHours":6.667785697559712,"endHours":7.988364543863233,"quality":"inauspicious"},{"name":"Śubha","start":"07:59","end":"09:19","startHours":7.988364543863233,"endHours":9.308943390166755,"quality":"auspicious"},{"name":"Roga","start":"09:19","end":"10:38","startHours":9.308943390166755,"endHours":10.629522236470276,"quality":"inauspicious"},{"name":"Udveg","start":"10:38","end":"11:57","startHours":10.629522236470276,"endHours":11.950101082773799,"quality":"inauspicious"},{"name":"Chala","start":"11:57","end":"13:16","startHours":11.950101082773799,"endHours":13.270679929077321,"quality":"neutral"},{"name":"Labha","start":"13:16","end":"14:35","startHours":13.270679929077321,"endHours":14.591258775380842,"quality":"auspicious"},{"name":"Amṛta","start":"14:35","end":"15:55","startHours":14.591258775380842,"endHours":15.911837621684363,"quality":"auspicious"},{"name":"Kāla","start":"15:55","end":"17:14","startHours":15.911837621684363,"endHours":17.232416467987886,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:14","end":"18:55","startHours":17.232416467987886,"endHours":18.911837621684363,"quality":"auspicious"},{"name":"Amṛta","start":"18:55","end":"20:35","startHours":18.911837621684363,"endHours":20.591258775380844,"quality":"auspicious"},{"name":"Kāla","start":"20:35","end":"22:16","startHours":20.591258775380844,"endHours":22.27067992907732,"quality":"inauspicious"},{"name":"Śubha","start":"22:16","end":"23:57","startHours":22.27067992907732,"endHours":23.9501010827738,"quality":"auspicious"},{"name":"Roga","start":"23:57","end":"01:38","startHours":23.9501010827738,"endHours":25.629522236470276,"quality":"inauspicious"},{"name":"Udveg","start":"01:38","end":"03:19","startHours":25.629522236470276,"endHours":27.308943390166753,"quality":"inauspicious"},{"name":"Chala","start":"03:19","end":"04:59","startHours":27.308943390166753,"endHours":28.988364543863234,"quality":"neutral"},{"name":"Labha","start":"04:59","end":"06:40","startHours":28.988364543863234,"endHours":30.66778569755971,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:40","end":"07:40","startHours":6.667785697559712,"endHours":7.667785697559712,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:40","end":"08:40","startHours":7.667785697559712,"endHours":8.667785697559712,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:40","end":"09:40","startHours":8.667785697559712,"endHours":9.667785697559712,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:40","end":"10:40","startHours":9.667785697559712,"endHours":10.667785697559712,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:40","end":"11:40","startHours":10.667785697559712,"endHours":11.667785697559712,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:40","end":"12:40","startHours":11.667785697559712,"endHours":12.667785697559712,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:40","end":"13:40","startHours":12.667785697559712,"endHours":13.667785697559712,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:40","end":"14:40","startHours":13.667785697559712,"endHours":14.667785697559712,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:40","end":"15:40","startHours":14.667785697559712,"endHours":15.667785697559712,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:40","end":"16:40","startHours":15.667785697559712,"endHours":16.66778569755971,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:40","end":"17:40","startHours":16.66778569755971,"endHours":17.66778569755971,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:40","end":"18:40","startHours":17.66778569755971,"endHours":18.66778569755971,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:40","end":"19:40","startHours":18.66778569755971,"endHours":19.66778569755971,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:40","end":"20:40","startHours":19.66778569755971,"endHours":20.66778569755971,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:40","end":"21:40","startHours":20.66778569755971,"endHours":21.66778569755971,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:40","end":"22:40","startHours":21.66778569755971,"endHours":22.66778569755971,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:40","end":"23:40","startHours":22.66778569755971,"endHours":23.66778569755971,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:40","end":"00:40","startHours":23.66778569755971,"endHours":24.66778569755971,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:40","end":"01:40","startHours":24.66778569755971,"endHours":25.66778569755971,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:40","end":"02:40","startHours":25.66778569755971,"endHours":26.66778569755971,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:40","end":"03:40","startHours":26.66778569755971,"endHours":27.66778569755971,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:40","end":"04:40","startHours":27.66778569755971,"endHours":28.66778569755971,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:40","end":"05:40","startHours":28.66778569755971,"endHours":29.66778569755971,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:40","end":"06:40","startHours":29.66778569755971,"endHours":30.66778569755971,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"East","anandadiYoga":{"name":"Saumya","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":-22.02693744512114,"eotMinutes":4.177935033572184,"ayanamsa":-47.531}},"calendars":{"vikram_samvat":-3054,"saka_samvat":-3189,"bengali_samvat":-3704,"malayalam_era":-3935,"nanakshahi_year":-4580,"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 Pūrṇimā · Vikram -3054 undefined · Śaka -3189 undefined"},"festivals":[{"id":"magha-purnima","name":"Māghī Pūrṇimā","name_sanskrit":"माघी पूर्णिमा","tradition":"Pan-Hindu","significance":"Sacred snāna at Prayāga; Māgha-snāna culmination.","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Māgha"},"precedence":2}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Śukla Pūrṇimā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Śukla Pūrṇimā","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 December 15, 3112 BCE · Ayodhyā · Vidhyamitra","description":"December 15, 3112 BCE for Ayodhyā: Śukla Pūrṇimā, sūryodaya 06:40, sūryāsta 17:14.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/-3111-12-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/-3111-12-15","sa":"https://sa.vidhyamitra.com/city/ayodhya/-3111-12-15","hi":"https://hi.vidhyamitra.com/city/ayodhya/-3111-12-15","x-default":"https://vidhyamitra.com/city/ayodhya/-3111-12-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T20:58:13.988Z","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":"2026-05-31T20:58:13.988Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T20:58:13.988Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}