{"id":"vidhyamitra:city-day:ayodhya:-3102-12-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/-3102-12-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3102-12-16","date_display":"December 16, 3103 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":-3102,"month":12,"day":16,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":588401.770833,"kali_year":0,"ahargana":-63.7292,"sun":{"sidereal_longitude":298.767,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":238.8697,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":300.1027,"elapsed_within_tithi_degrees":0.1027},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4,"moon_longitude":238.8697,"elapsed_within_degrees":12.2031},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":177.6368},"karana":{"half_tithi_index":50,"name":"Bava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":-3102,"month":12,"day":16,"hour":6,"minute":30,"calendar":"julian"},"julian_day":588401.770833,"ahargana":-63.7292,"kali_year":0,"ayanamsa_lahiri":-47.4053,"grahas":{"sun":{"sidereal_longitude":298.767,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":238.8697,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false,"latitude":3.707},"mars":{"sidereal_longitude":316.3979,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":299.9359,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":347.0476,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":281.3091,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":344.8558,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":183.3767,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":3.3767,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","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":-3102,"month":12,"day":16,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":588401.770833,"kali_year":0,"ahargana":-63.7292,"sun":{"sidereal_longitude":298.767,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":238.8697,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":300.1027,"elapsed_within_tithi_degrees":0.1027},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4,"moon_longitude":238.8697,"elapsed_within_degrees":12.2031},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":177.6368},"karana":{"half_tithi_index":50,"name":"Bava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.707,"elongation":59.897},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.707,"opposition_distance":120.103}},"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":"06:41","sunsetLocal":"17:14","solarNoonLocal":"11:57","dayLengthHours":10.555700735572039,"dayLengthDisplay":"10 Hours 33 Mins 21 Secs","nightLengthDisplay":"13 Hours 26 Mins 39 Secs","moonriseLocal":"02:04","moonsetLocal":"13:51","rahuKala":{"name":"Rāhu Kāla","start":"13:17","end":"14:36","startHours":13.277247311493628,"endHours":14.596709903440132,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:41","end":"08:00","startHours":6.679934351761104,"endHours":7.999396943707609,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:19","end":"10:38","startHours":9.318859535654113,"endHours":10.638322127600619,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:09","end":"09:30","startHours":9.142931190061248,"endHours":9.494787881246982,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:07","end":"07:24","startHours":7.119755215743273,"endHours":7.40124056869186,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:36","end":"12:19","startHours":11.60592802836139,"endHours":12.309641410732858,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:16","end":"05:59","startHours":5.272507587018166,"endHours":5.976220969389635,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:48","end":"06:41","startHours":5.800292623796768,"endHours":6.679934351761104,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:43","end":"14:25","startHours":13.717068175475797,"endHours":14.420781557847267,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:02","end":"17:26","startHours":17.035635087333144,"endHours":17.435635087333143,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:14","end":"17:41","startHours":17.235635087333144,"endHours":17.67545595131531,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:59","end":"18:44","startHours":16.985635087333144,"endHours":18.735635087333144,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:36","end":"00:19","startHours":23.60592802836139,"endHours":24.30964141073286,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:41","end":"08:00","startHours":6.679934351761104,"endHours":7.999396943707609,"quality":"auspicious"},{"name":"Roga","start":"08:00","end":"09:19","startHours":7.999396943707609,"endHours":9.318859535654113,"quality":"inauspicious"},{"name":"Udveg","start":"09:19","end":"10:38","startHours":9.318859535654113,"endHours":10.638322127600619,"quality":"inauspicious"},{"name":"Chala","start":"10:38","end":"11:57","startHours":10.638322127600619,"endHours":11.957784719547124,"quality":"neutral"},{"name":"Labha","start":"11:57","end":"13:17","startHours":11.957784719547124,"endHours":13.277247311493628,"quality":"auspicious"},{"name":"Amṛta","start":"13:17","end":"14:36","startHours":13.277247311493628,"endHours":14.596709903440132,"quality":"auspicious"},{"name":"Kāla","start":"14:36","end":"15:55","startHours":14.596709903440132,"endHours":15.91617249538664,"quality":"inauspicious"},{"name":"Śubha","start":"15:55","end":"17:14","startHours":15.91617249538664,"endHours":17.235635087333144,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:14","end":"18:55","startHours":17.235635087333144,"endHours":18.91617249538664,"quality":"auspicious"},{"name":"Kāla","start":"18:55","end":"20:36","startHours":18.91617249538664,"endHours":20.596709903440136,"quality":"inauspicious"},{"name":"Śubha","start":"20:36","end":"22:17","startHours":20.596709903440136,"endHours":22.27724731149363,"quality":"auspicious"},{"name":"Roga","start":"22:17","end":"23:57","startHours":22.27724731149363,"endHours":23.957784719547124,"quality":"inauspicious"},{"name":"Udveg","start":"23:57","end":"01:38","startHours":23.957784719547124,"endHours":25.63832212760062,"quality":"inauspicious"},{"name":"Chala","start":"01:38","end":"03:19","startHours":25.63832212760062,"endHours":27.318859535654113,"quality":"neutral"},{"name":"Labha","start":"03:19","end":"05:00","startHours":27.318859535654113,"endHours":28.99939694370761,"quality":"auspicious"},{"name":"Amṛta","start":"05:00","end":"06:41","startHours":28.99939694370761,"endHours":30.679934351761105,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:41","end":"07:41","startHours":6.679934351761104,"endHours":7.679934351761104,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:41","end":"08:41","startHours":7.679934351761104,"endHours":8.679934351761105,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:41","end":"09:41","startHours":8.679934351761105,"endHours":9.679934351761105,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:41","end":"10:41","startHours":9.679934351761105,"endHours":10.679934351761105,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:41","end":"11:41","startHours":10.679934351761105,"endHours":11.679934351761105,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:41","end":"12:41","startHours":11.679934351761105,"endHours":12.679934351761105,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:41","end":"13:41","startHours":12.679934351761105,"endHours":13.679934351761105,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:41","end":"14:41","startHours":13.679934351761105,"endHours":14.679934351761105,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:41","end":"15:41","startHours":14.679934351761105,"endHours":15.679934351761105,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:41","end":"16:41","startHours":15.679934351761105,"endHours":16.679934351761105,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:41","end":"17:41","startHours":16.679934351761105,"endHours":17.679934351761105,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:41","end":"18:41","startHours":17.679934351761105,"endHours":18.679934351761105,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:41","end":"19:41","startHours":18.679934351761105,"endHours":19.679934351761105,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:41","end":"20:41","startHours":19.679934351761105,"endHours":20.679934351761105,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:41","end":"21:41","startHours":20.679934351761105,"endHours":21.679934351761105,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:41","end":"22:41","startHours":21.679934351761105,"endHours":22.679934351761105,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:41","end":"23:41","startHours":22.679934351761105,"endHours":23.679934351761105,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:41","end":"00:41","startHours":23.679934351761105,"endHours":24.679934351761105,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:41","end":"01:41","startHours":24.679934351761105,"endHours":25.679934351761105,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:41","end":"02:41","startHours":25.679934351761105,"endHours":26.679934351761105,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:41","end":"03:41","startHours":26.679934351761105,"endHours":27.679934351761105,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:41","end":"04:41","startHours":27.679934351761105,"endHours":28.679934351761105,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:41","end":"05:41","startHours":28.679934351761105,"endHours":29.679934351761105,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:41","end":"06:41","startHours":29.679934351761105,"endHours":30.679934351761105,"planetary_lord":"Moon"}],"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","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"North-East","rahuVasa":"North-West","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"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":-22.14014637864806,"eotMinutes":3.716916827172506,"ayanamsa":-47.4053}},"calendars":{"vikram_samvat":-3045,"saka_samvat":-3180,"bengali_samvat":-3695,"malayalam_era":-3926,"nanakshahi_year":-4571,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa 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 Kṛṣṇa Ekādaśī · Vikram -3045 undefined · Śaka -3180 undefined"},"festivals":[{"id":"shattila-ekadashi","name":"Ṣaṭ-tilā Ekādaśī","name_sanskrit":"षट्तिला एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Six uses of tila (sesame) on this Ekādaśī confer mokṣa.","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","lunar_month":"Māgha"},"precedence":4},{"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":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Jyeṣṭhā","url":"/day/-3137-10-20","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 16, 3103 BCE · Ayodhyā · Vidhyamitra","description":"December 16, 3103 BCE for Ayodhyā: Kṛṣṇa Ekādaśī, sūryodaya 06:41, sūryāsta 17:14.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/-3102-12-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/-3102-12-16","sa":"https://sa.vidhyamitra.com/city/ayodhya/-3102-12-16","hi":"https://hi.vidhyamitra.com/city/ayodhya/-3102-12-16","x-default":"https://vidhyamitra.com/city/ayodhya/-3102-12-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T02:48:29.133Z","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":"2026-05-31T02:48:29.133Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T02:48:29.133Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}