{"id":"vidhyamitra:city-day:ayodhya:-3164-12-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/-3164-12-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3164-12-15","date_display":"December 15, 3165 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":-3164,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565755.770833,"kali_year":-62,"ahargana":-22709.7292,"sun":{"sidereal_longitude":298.8107,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":292.1285,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":353.3179,"elapsed_within_tithi_degrees":5.3179},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4,"moon_longitude":292.1285,"elapsed_within_degrees":12.1285},"yoga":{"number":18,"name":"Varīyān","sum_longitude":230.9392},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"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":-3164,"month":12,"day":15,"hour":6,"minute":30,"calendar":"julian"},"julian_day":565755.770833,"ahargana":-22709.7292,"kali_year":-62,"ayanamsa_lahiri":-48.2714,"grahas":{"sun":{"sidereal_longitude":298.8107,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":292.1285,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false,"latitude":-0.8687},"mars":{"sidereal_longitude":325.9231,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":295.7484,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":272.9923,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":314.1011,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":310.0658,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":303.2707,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":123.2707,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"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":-3164,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565755.770833,"kali_year":-62,"ahargana":-22709.7292,"sun":{"sidereal_longitude":298.8107,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":292.1285,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":353.3179,"elapsed_within_tithi_degrees":5.3179},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4,"moon_longitude":292.1285,"elapsed_within_degrees":12.1285},"yoga":{"number":18,"name":"Varīyān","sum_longitude":230.9392},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.869,"elongation":6.682},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.869,"opposition_distance":173.318}},"eclipse_window_40days":[{"offset_days":16,"type":"lunar","occurs":true,"moon_latitude":-0.952,"opposition_distance":0.355}]},"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":10.564788429176943,"dayLengthDisplay":"10 Hours 33 Mins 53 Secs","nightLengthDisplay":"13 Hours 26 Mins 07 Secs","moonriseLocal":"06:12","moonsetLocal":"16:49","rahuKala":{"name":"Rāhu Kāla","start":"11:57","end":"13:16","startHours":11.950101082773799,"endHours":13.270699636420915,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:59","end":"09:19","startHours":7.988305421832444,"endHours":9.308903975479563,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:38","end":"11:57","startHours":10.629502529126679,"endHours":11.950101082773799,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:08","end":"09:29","startHours":9.132824168326612,"endHours":9.484983782632511,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:06","end":"07:23","startHours":7.1079063860676985,"endHours":7.389634077512417,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:36","end":"12:18","startHours":11.5979414684679,"endHours":12.302260697079697,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:16","end":"05:58","startHours":5.259068410961734,"endHours":5.96338763957353,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:47","end":"06:40","startHours":5.787307832420581,"endHours":6.667706868185326,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:43","end":"14:25","startHours":13.710899154303288,"endHours":14.415218382915084,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:02","end":"17:26","startHours":17.03249529736227,"endHours":17.43249529736227,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:14","end":"17:40","startHours":17.23249529736227,"endHours":17.672694815244643,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:59","end":"18:44","startHours":16.98249529736227,"endHours":18.73249529736227,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:36","end":"00:18","startHours":23.5979414684679,"endHours":24.302260697079696,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:40","end":"07:59","startHours":6.667706868185326,"endHours":7.988305421832444,"quality":"auspicious"},{"name":"Amṛta","start":"07:59","end":"09:19","startHours":7.988305421832444,"endHours":9.308903975479563,"quality":"auspicious"},{"name":"Kāla","start":"09:19","end":"10:38","startHours":9.308903975479563,"endHours":10.629502529126679,"quality":"inauspicious"},{"name":"Śubha","start":"10:38","end":"11:57","startHours":10.629502529126679,"endHours":11.950101082773799,"quality":"auspicious"},{"name":"Roga","start":"11:57","end":"13:16","startHours":11.950101082773799,"endHours":13.270699636420915,"quality":"inauspicious"},{"name":"Udveg","start":"13:16","end":"14:35","startHours":13.270699636420915,"endHours":14.591298190068034,"quality":"inauspicious"},{"name":"Chala","start":"14:35","end":"15:55","startHours":14.591298190068034,"endHours":15.91189674371515,"quality":"neutral"},{"name":"Labha","start":"15:55","end":"17:14","startHours":15.91189674371515,"endHours":17.23249529736227,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:14","end":"18:55","startHours":17.23249529736227,"endHours":18.911896743715154,"quality":"inauspicious"},{"name":"Chala","start":"18:55","end":"20:35","startHours":18.911896743715154,"endHours":20.591298190068034,"quality":"neutral"},{"name":"Labha","start":"20:35","end":"22:16","startHours":20.591298190068034,"endHours":22.270699636420915,"quality":"auspicious"},{"name":"Amṛta","start":"22:16","end":"23:57","startHours":22.270699636420915,"endHours":23.9501010827738,"quality":"auspicious"},{"name":"Kāla","start":"23:57","end":"01:38","startHours":23.9501010827738,"endHours":25.629502529126682,"quality":"inauspicious"},{"name":"Śubha","start":"01:38","end":"03:19","startHours":25.629502529126682,"endHours":27.308903975479563,"quality":"auspicious"},{"name":"Roga","start":"03:19","end":"04:59","startHours":27.308903975479563,"endHours":28.988305421832443,"quality":"inauspicious"},{"name":"Udveg","start":"04:59","end":"06:40","startHours":28.988305421832443,"endHours":30.667706868185327,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:40","end":"07:40","startHours":6.667706868185326,"endHours":7.667706868185326,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:40","end":"08:40","startHours":7.667706868185326,"endHours":8.667706868185327,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:40","end":"09:40","startHours":8.667706868185327,"endHours":9.667706868185327,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:40","end":"10:40","startHours":9.667706868185327,"endHours":10.667706868185327,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:40","end":"11:40","startHours":10.667706868185327,"endHours":11.667706868185327,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:40","end":"12:40","startHours":11.667706868185327,"endHours":12.667706868185327,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:40","end":"13:40","startHours":12.667706868185327,"endHours":13.667706868185327,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:40","end":"14:40","startHours":13.667706868185327,"endHours":14.667706868185327,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:40","end":"15:40","startHours":14.667706868185327,"endHours":15.667706868185327,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:40","end":"16:40","startHours":15.667706868185327,"endHours":16.667706868185327,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:40","end":"17:40","startHours":16.667706868185327,"endHours":17.667706868185327,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:40","end":"18:40","startHours":17.667706868185327,"endHours":18.667706868185327,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:40","end":"19:40","startHours":18.667706868185327,"endHours":19.667706868185327,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:40","end":"20:40","startHours":19.667706868185327,"endHours":20.667706868185327,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:40","end":"21:40","startHours":20.667706868185327,"endHours":21.667706868185327,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:40","end":"22:40","startHours":21.667706868185327,"endHours":22.667706868185327,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:40","end":"23:40","startHours":22.667706868185327,"endHours":23.667706868185327,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:40","end":"00:40","startHours":23.667706868185327,"endHours":24.667706868185327,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:40","end":"01:40","startHours":24.667706868185327,"endHours":25.667706868185327,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:40","end":"02:40","startHours":25.667706868185327,"endHours":26.667706868185327,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:40","end":"03:40","startHours":26.667706868185327,"endHours":27.667706868185327,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:40","end":"04:40","startHours":27.667706868185327,"endHours":28.667706868185327,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:40","end":"05:40","startHours":28.667706868185327,"endHours":29.667706868185327,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:40","end":"06:40","startHours":29.667706868185327,"endHours":30.667706868185327,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"South-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":-22.02493695859316,"eotMinutes":4.177935033572184,"ayanamsa":-48.2714}},"calendars":{"vikram_samvat":-3107,"saka_samvat":-3242,"bengali_samvat":-3757,"malayalam_era":-3988,"nanakshahi_year":-4633,"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 Amāvasyā · Vikram -3107 undefined · Śaka -3242 undefined"},"festivals":[],"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":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Kṛṣṇa Amāvasyā","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 15, 3165 BCE · Ayodhyā · Vidhyamitra","description":"December 15, 3165 BCE for Ayodhyā: Kṛṣṇa Amāvasyā, sūryodaya 06:40, sūryāsta 17:14.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/-3164-12-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/-3164-12-15","sa":"https://sa.vidhyamitra.com/city/ayodhya/-3164-12-15","hi":"https://hi.vidhyamitra.com/city/ayodhya/-3164-12-15","x-default":"https://vidhyamitra.com/city/ayodhya/-3164-12-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T07:51:37.123Z","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":"2026-06-01T07:51:37.123Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T07:51:37.123Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}