{"id":"vidhyamitra:city-day:ayodhya:-3137-04-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/-3137-04-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3137-04-13","date_display":"April 13, 3138 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":-3137,"month":4,"day":13,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":575370.770833,"kali_year":-35,"ahargana":-13094.7292,"sun":{"sidereal_longitude":54.6995,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":259.7306,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":205.031,"elapsed_within_tithi_degrees":1.031},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2,"moon_longitude":259.7306,"elapsed_within_degrees":6.3972},"yoga":{"number":24,"name":"Śukla","sum_longitude":314.4301},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":-3137,"month":4,"day":13,"hour":6,"minute":30,"calendar":"julian"},"julian_day":575370.770833,"ahargana":-13094.7292,"kali_year":-35,"ayanamsa_lahiri":-47.9036,"grahas":{"sun":{"sidereal_longitude":54.6995,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":259.7306,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false,"latitude":4.3273},"mars":{"sidereal_longitude":11.7024,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":54.2089,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":2.3237,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":13.2878,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":280.0843,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":153.8218,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":333.8218,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","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":-3137,"month":4,"day":13,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":575370.770833,"kali_year":-35,"ahargana":-13094.7292,"sun":{"sidereal_longitude":54.6995,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":259.7306,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":205.031,"elapsed_within_tithi_degrees":1.031},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2,"moon_longitude":259.7306,"elapsed_within_degrees":6.3972},"yoga":{"number":24,"name":"Śukla","sum_longitude":314.4301},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.327,"elongation":154.969},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.327,"opposition_distance":25.031}},"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":"05:53","sunsetLocal":"18:11","solarNoonLocal":"12:02","dayLengthHours":12.30646204934939,"dayLengthDisplay":"12 Hours 18 Mins 23 Secs","nightLengthDisplay":"11 Hours 41 Mins 37 Secs","moonriseLocal":"20:04","moonsetLocal":"07:20","rahuKala":{"name":"Rāhu Kāla","start":"16:39","end":"18:11","startHours":16.64748678233443,"endHours":18.185794538503103,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:02","end":"13:34","startHours":12.032563513828407,"endHours":13.570871269997081,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:07","end":"16:39","startHours":15.109179026165755,"endHours":16.64748678233443,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:45","end":"09:10","startHours":8.750840300668571,"endHours":9.16105570231355,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:24","end":"06:43","startHours":6.392101741209937,"endHours":6.720274062525921,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:37","end":"12:27","startHours":11.622348112183428,"endHours":12.442778915473387,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:14","end":"05:04","startHours":4.238470882573794,"endHours":5.058901685863754,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:51","end":"05:53","startHours":4.853793985041264,"endHours":5.879332489153713,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:05","end":"14:54","startHours":14.083640522053306,"endHours":14.904071325343265,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:59","end":"18:23","startHours":17.985794538503104,"endHours":18.385794538503102,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:11","end":"18:42","startHours":18.185794538503103,"endHours":18.698563790559326,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:56","end":"19:41","startHours":17.935794538503103,"endHours":19.685794538503103,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:37","end":"00:27","startHours":23.622348112183428,"endHours":24.442778915473387,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:53","end":"07:25","startHours":5.879332489153713,"endHours":7.417640245322387,"quality":"inauspicious"},{"name":"Chala","start":"07:25","end":"08:57","startHours":7.417640245322387,"endHours":8.95594800149106,"quality":"neutral"},{"name":"Labha","start":"08:57","end":"10:30","startHours":8.95594800149106,"endHours":10.494255757659733,"quality":"auspicious"},{"name":"Amṛta","start":"10:30","end":"12:02","startHours":10.494255757659733,"endHours":12.032563513828407,"quality":"auspicious"},{"name":"Kāla","start":"12:02","end":"13:34","startHours":12.032563513828407,"endHours":13.570871269997081,"quality":"inauspicious"},{"name":"Śubha","start":"13:34","end":"15:07","startHours":13.570871269997081,"endHours":15.109179026165755,"quality":"auspicious"},{"name":"Roga","start":"15:07","end":"16:39","startHours":15.109179026165755,"endHours":16.64748678233443,"quality":"inauspicious"},{"name":"Udveg","start":"16:39","end":"18:11","startHours":16.64748678233443,"endHours":18.185794538503103,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:11","end":"19:39","startHours":18.185794538503103,"endHours":19.64748678233443,"quality":"auspicious"},{"name":"Roga","start":"19:39","end":"21:07","startHours":19.64748678233443,"endHours":21.109179026165755,"quality":"inauspicious"},{"name":"Udveg","start":"21:07","end":"22:34","startHours":21.109179026165755,"endHours":22.57087126999708,"quality":"inauspicious"},{"name":"Chala","start":"22:34","end":"00:02","startHours":22.57087126999708,"endHours":24.032563513828407,"quality":"neutral"},{"name":"Labha","start":"00:02","end":"01:30","startHours":24.032563513828407,"endHours":25.494255757659733,"quality":"auspicious"},{"name":"Amṛta","start":"01:30","end":"02:57","startHours":25.494255757659733,"endHours":26.95594800149106,"quality":"auspicious"},{"name":"Kāla","start":"02:57","end":"04:25","startHours":26.95594800149106,"endHours":28.41764024532239,"quality":"inauspicious"},{"name":"Śubha","start":"04:25","end":"05:53","startHours":28.41764024532239,"endHours":29.87933248915371,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:53","end":"06:53","startHours":5.879332489153713,"endHours":6.879332489153713,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:53","end":"07:53","startHours":6.879332489153713,"endHours":7.879332489153713,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:53","end":"08:53","startHours":7.879332489153713,"endHours":8.879332489153713,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:53","end":"09:53","startHours":8.879332489153713,"endHours":9.879332489153713,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:53","end":"10:53","startHours":9.879332489153713,"endHours":10.879332489153713,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:53","end":"11:53","startHours":10.879332489153713,"endHours":11.879332489153713,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:53","end":"12:53","startHours":11.879332489153713,"endHours":12.879332489153713,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:53","end":"13:53","startHours":12.879332489153713,"endHours":13.879332489153713,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:53","end":"14:53","startHours":13.879332489153713,"endHours":14.879332489153713,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:53","end":"15:53","startHours":14.879332489153713,"endHours":15.879332489153713,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:53","end":"16:53","startHours":15.879332489153713,"endHours":16.87933248915371,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:53","end":"17:53","startHours":16.87933248915371,"endHours":17.87933248915371,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:53","end":"18:53","startHours":17.87933248915371,"endHours":18.87933248915371,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:53","end":"19:53","startHours":18.87933248915371,"endHours":19.87933248915371,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:53","end":"20:53","startHours":19.87933248915371,"endHours":20.87933248915371,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:53","end":"21:53","startHours":20.87933248915371,"endHours":21.87933248915371,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:53","end":"22:53","startHours":21.87933248915371,"endHours":22.87933248915371,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:53","end":"23:53","startHours":22.87933248915371,"endHours":23.87933248915371,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:53","end":"00:53","startHours":23.87933248915371,"endHours":24.87933248915371,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:53","end":"01:53","startHours":24.87933248915371,"endHours":25.87933248915371,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:53","end":"02:53","startHours":25.87933248915371,"endHours":26.87933248915371,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:53","end":"03:53","startHours":26.87933248915371,"endHours":27.87933248915371,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:53","end":"04:53","startHours":27.87933248915371,"endHours":28.87933248915371,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:53","end":"05:53","startHours":28.87933248915371,"endHours":29.87933248915371,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Śubha","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":2.6976132735476845,"eotMinutes":-0.7698108297043191,"ayanamsa":-47.9036}},"calendars":{"vikram_samvat":-3080,"saka_samvat":-3215,"bengali_samvat":-3730,"malayalam_era":-3961,"nanakshahi_year":-4606,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa 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 Kṛṣṇa Tṛtīyā · Vikram -3080 undefined · Śaka -3215 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 13, 3138 BCE · Ayodhyā · Vidhyamitra","description":"April 13, 3138 BCE for Ayodhyā: Kṛṣṇa Tṛtīyā, sūryodaya 05:53, sūryāsta 18:11.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/-3137-04-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/-3137-04-13","sa":"https://sa.vidhyamitra.com/city/ayodhya/-3137-04-13","hi":"https://hi.vidhyamitra.com/city/ayodhya/-3137-04-13","x-default":"https://vidhyamitra.com/city/ayodhya/-3137-04-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-05T13:39:36.703Z","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":"2026-06-05T13:39:36.703Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-05T13:39:36.703Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}