{"id":"vidhyamitra:city-day:ayodhya:-3165-04-12:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/-3165-04-12","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3165-04-12","date_display":"April 12, 3166 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":-3165,"month":4,"day":12,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565142.770833,"kali_year":-63,"ahargana":-23322.7292,"sun":{"sidereal_longitude":53.9829,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":127.8412,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":73.8583,"elapsed_within_tithi_degrees":1.8583},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":127.8412,"elapsed_within_degrees":7.8412},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":181.8241},"karana":{"half_tithi_index":12,"name":"Gara"},"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":-3165,"month":4,"day":12,"hour":6,"minute":30,"calendar":"julian"},"julian_day":565142.770833,"ahargana":-23322.7292,"kali_year":-63,"ayanamsa_lahiri":-48.2948,"grahas":{"sun":{"sidereal_longitude":53.9829,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":127.8412,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false,"latitude":2.1046},"mars":{"sidereal_longitude":39.0725,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":32.3648,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":213.3895,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":62.0134,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":297.4302,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":335.7504,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":155.7504,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","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":-3165,"month":4,"day":12,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565142.770833,"kali_year":-63,"ahargana":-23322.7292,"sun":{"sidereal_longitude":53.9829,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":127.8412,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":73.8583,"elapsed_within_tithi_degrees":1.8583},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":127.8412,"elapsed_within_degrees":7.8412},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":181.8241},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.105,"elongation":73.858},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.105,"opposition_distance":106.142}},"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":"05:54","sunsetLocal":"18:11","solarNoonLocal":"12:02","dayLengthHours":12.276818086881448,"dayLengthDisplay":"12 Hours 16 Mins 37 Secs","nightLengthDisplay":"11 Hours 43 Mins 23 Secs","moonriseLocal":"10:05","moonsetLocal":"23:50","rahuKala":{"name":"Rāhu Kāla","start":"08:58","end":"10:30","startHours":8.967920497605327,"endHours":10.50252275846551,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:34","end":"15:06","startHours":13.571727280185872,"endHours":15.106329541046051,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:54","end":"07:26","startHours":5.898715975884966,"endHours":7.433318236745147,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:46","end":"09:10","startHours":8.76330686282397,"endHours":9.172534132386685,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:25","end":"06:44","startHours":6.41025006283836,"endHours":6.737631878488532,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:38","end":"12:27","startHours":11.627897749762974,"endHours":12.446352288888404,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:16","end":"05:05","startHours":4.261806897634106,"endHours":5.080261436759536,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:53","end":"05:54","startHours":4.875647801978179,"endHours":5.898715975884966,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:05","end":"14:54","startHours":14.083261367139265,"endHours":14.901715906264695,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:59","end":"18:23","startHours":17.975534062766414,"endHours":18.375534062766413,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:11","end":"18:41","startHours":18.175534062766413,"endHours":18.687068149719806,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:56","end":"19:41","startHours":17.925534062766413,"endHours":19.675534062766413,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:38","end":"00:27","startHours":23.627897749762973,"endHours":24.446352288888406,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:54","end":"07:26","startHours":5.898715975884966,"endHours":7.433318236745147,"quality":"inauspicious"},{"name":"Śubha","start":"07:26","end":"08:58","startHours":7.433318236745147,"endHours":8.967920497605327,"quality":"auspicious"},{"name":"Roga","start":"08:58","end":"10:30","startHours":8.967920497605327,"endHours":10.50252275846551,"quality":"inauspicious"},{"name":"Udveg","start":"10:30","end":"12:02","startHours":10.50252275846551,"endHours":12.03712501932569,"quality":"inauspicious"},{"name":"Chala","start":"12:02","end":"13:34","startHours":12.03712501932569,"endHours":13.571727280185872,"quality":"neutral"},{"name":"Labha","start":"13:34","end":"15:06","startHours":13.571727280185872,"endHours":15.106329541046051,"quality":"auspicious"},{"name":"Amṛta","start":"15:06","end":"16:38","startHours":15.106329541046051,"endHours":16.640931801906234,"quality":"auspicious"},{"name":"Kāla","start":"16:38","end":"18:11","startHours":16.640931801906234,"endHours":18.175534062766413,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:11","end":"19:38","startHours":18.175534062766413,"endHours":19.640931801906234,"quality":"auspicious"},{"name":"Amṛta","start":"19:38","end":"21:06","startHours":19.640931801906234,"endHours":21.10632954104605,"quality":"auspicious"},{"name":"Kāla","start":"21:06","end":"22:34","startHours":21.10632954104605,"endHours":22.57172728018587,"quality":"inauspicious"},{"name":"Śubha","start":"22:34","end":"00:02","startHours":22.57172728018587,"endHours":24.03712501932569,"quality":"auspicious"},{"name":"Roga","start":"00:02","end":"01:30","startHours":24.03712501932569,"endHours":25.50252275846551,"quality":"inauspicious"},{"name":"Udveg","start":"01:30","end":"02:58","startHours":25.50252275846551,"endHours":26.967920497605327,"quality":"inauspicious"},{"name":"Chala","start":"02:58","end":"04:26","startHours":26.967920497605327,"endHours":28.433318236745144,"quality":"neutral"},{"name":"Labha","start":"04:26","end":"05:54","startHours":28.433318236745144,"endHours":29.898715975884965,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:54","end":"06:54","startHours":5.898715975884966,"endHours":6.898715975884966,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:54","end":"07:54","startHours":6.898715975884966,"endHours":7.898715975884966,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:54","end":"08:54","startHours":7.898715975884966,"endHours":8.898715975884965,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:54","end":"09:54","startHours":8.898715975884965,"endHours":9.898715975884965,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:54","end":"10:54","startHours":9.898715975884965,"endHours":10.898715975884965,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:54","end":"11:54","startHours":10.898715975884965,"endHours":11.898715975884965,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:54","end":"12:54","startHours":11.898715975884965,"endHours":12.898715975884965,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:54","end":"13:54","startHours":12.898715975884965,"endHours":13.898715975884965,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:54","end":"14:54","startHours":13.898715975884965,"endHours":14.898715975884965,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:54","end":"15:54","startHours":14.898715975884965,"endHours":15.898715975884965,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:54","end":"16:54","startHours":15.898715975884965,"endHours":16.898715975884965,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:54","end":"17:54","startHours":16.898715975884965,"endHours":17.898715975884965,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:54","end":"18:54","startHours":17.898715975884965,"endHours":18.898715975884965,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:54","end":"19:54","startHours":18.898715975884965,"endHours":19.898715975884965,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:54","end":"20:54","startHours":19.898715975884965,"endHours":20.898715975884965,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:54","end":"21:54","startHours":20.898715975884965,"endHours":21.898715975884965,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:54","end":"22:54","startHours":21.898715975884965,"endHours":22.898715975884965,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:54","end":"23:54","startHours":22.898715975884965,"endHours":23.898715975884965,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:54","end":"00:54","startHours":23.898715975884965,"endHours":24.898715975884965,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:54","end":"01:54","startHours":24.898715975884965,"endHours":25.898715975884965,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:54","end":"02:54","startHours":25.898715975884965,"endHours":26.898715975884965,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:54","end":"03:54","startHours":26.898715975884965,"endHours":27.898715975884965,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:54","end":"04:54","startHours":27.898715975884965,"endHours":28.898715975884965,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:54","end":"05:54","startHours":28.898715975884965,"endHours":29.898715975884965,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"West","rahuVasa":"East","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":2.2592130525189074,"eotMinutes":-1.043501159541278,"ayanamsa":-48.2948}},"calendars":{"vikram_samvat":-3108,"saka_samvat":-3243,"bengali_samvat":-3758,"malayalam_era":-3989,"nanakshahi_year":-4634,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","lunar_month_amanta":"Jyeṣṭha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Śukla Saptamī · Vikram -3108 undefined · Śaka -3243 undefined"},"festivals":[],"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":[]},"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 April 12, 3166 BCE · Ayodhyā · Vidhyamitra","description":"April 12, 3166 BCE for Ayodhyā: Śukla Saptamī, sūryodaya 05:54, sūryāsta 18:11.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/-3165-04-12","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/-3165-04-12","sa":"https://sa.vidhyamitra.com/city/ayodhya/-3165-04-12","hi":"https://hi.vidhyamitra.com/city/ayodhya/-3165-04-12","x-default":"https://vidhyamitra.com/city/ayodhya/-3165-04-12"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T21:16:07.224Z","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":"2026-06-01T21:16:07.224Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T21:16:07.224Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}