{"id":"vidhyamitra:city-day:ayodhya:-3173-07-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/-3173-07-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3173-07-31","date_display":"July 31, 3174 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":-3173,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":562330.770833,"kali_year":-71,"ahargana":-26134.7292,"sun":{"sidereal_longitude":159.1935,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":152.9147,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":353.7212,"elapsed_within_tithi_degrees":5.7212},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2,"moon_longitude":152.9147,"elapsed_within_degrees":6.248},"yoga":{"number":24,"name":"Śukla","sum_longitude":312.1082},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":-3173,"month":7,"day":31,"hour":6,"minute":30,"calendar":"julian"},"julian_day":562330.770833,"ahargana":-26134.7292,"kali_year":-71,"ayanamsa_lahiri":-48.4024,"grahas":{"sun":{"sidereal_longitude":159.1935,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":152.9147,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false,"latitude":2.1228},"mars":{"sidereal_longitude":12.3021,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":true},"mercury":{"sidereal_longitude":174.6007,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":351.5528,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":true},"venus":{"sidereal_longitude":195.2588,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":207.0986,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":124.7437,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":304.7437,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"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":-3173,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":562330.770833,"kali_year":-71,"ahargana":-26134.7292,"sun":{"sidereal_longitude":159.1935,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":152.9147,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":353.7212,"elapsed_within_tithi_degrees":5.7212},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2,"moon_longitude":152.9147,"elapsed_within_degrees":6.248},"yoga":{"number":24,"name":"Śukla","sum_longitude":312.1082},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.123,"elongation":6.279},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.123,"opposition_distance":173.721}},"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":"05:16","sunsetLocal":"18:58","solarNoonLocal":"12:07","dayLengthHours":13.693520583140149,"dayLengthDisplay":"13 Hours 41 Mins 37 Secs","nightLengthDisplay":"10 Hours 18 Mins 23 Secs","moonriseLocal":"04:51","moonsetLocal":"18:34","rahuKala":{"name":"Rāhu Kāla","start":"06:59","end":"08:42","startHours":6.985852689861626,"endHours":8.697542762754145,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:25","end":"12:07","startHours":10.409232835646662,"endHours":12.120922908539182,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:50","end":"15:33","startHours":13.832612981431701,"endHours":15.544303054324219,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:28","end":"08:56","startHours":8.46931741970181,"endHours":8.92576810580648,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:51","end":"06:13","startHours":5.844725974599947,"endHours":6.209886523483684,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:40","end":"12:35","startHours":11.66447222243451,"endHours":12.577373594643854,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:27","end":"04:22","startHours":3.4483598725504208,"endHours":4.361261244759764,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:08","end":"05:16","startHours":4.133035901707428,"endHours":5.274162616969107,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:24","end":"15:19","startHours":14.40317633906254,"endHours":15.316077711271884,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:46","end":"19:10","startHours":18.767683200109257,"endHours":19.167683200109256,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:58","end":"19:32","startHours":18.967683200109256,"endHours":19.538246557740095,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:43","end":"20:28","startHours":18.717683200109256,"endHours":20.467683200109256,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:40","end":"00:35","startHours":23.66447222243451,"endHours":24.577373594643852,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:16","end":"06:59","startHours":5.274162616969107,"endHours":6.985852689861626,"quality":"auspicious"},{"name":"Kāla","start":"06:59","end":"08:42","startHours":6.985852689861626,"endHours":8.697542762754145,"quality":"inauspicious"},{"name":"Śubha","start":"08:42","end":"10:25","startHours":8.697542762754145,"endHours":10.409232835646662,"quality":"auspicious"},{"name":"Roga","start":"10:25","end":"12:07","startHours":10.409232835646662,"endHours":12.120922908539182,"quality":"inauspicious"},{"name":"Udveg","start":"12:07","end":"13:50","startHours":12.120922908539182,"endHours":13.832612981431701,"quality":"inauspicious"},{"name":"Chala","start":"13:50","end":"15:33","startHours":13.832612981431701,"endHours":15.544303054324219,"quality":"neutral"},{"name":"Labha","start":"15:33","end":"17:15","startHours":15.544303054324219,"endHours":17.255993127216737,"quality":"auspicious"},{"name":"Amṛta","start":"17:15","end":"18:58","startHours":17.255993127216737,"endHours":18.967683200109256,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:58","end":"20:15","startHours":18.967683200109256,"endHours":20.255993127216737,"quality":"neutral"},{"name":"Labha","start":"20:15","end":"21:33","startHours":20.255993127216737,"endHours":21.544303054324217,"quality":"auspicious"},{"name":"Amṛta","start":"21:33","end":"22:50","startHours":21.544303054324217,"endHours":22.8326129814317,"quality":"auspicious"},{"name":"Kāla","start":"22:50","end":"00:07","startHours":22.8326129814317,"endHours":24.120922908539182,"quality":"inauspicious"},{"name":"Śubha","start":"00:07","end":"01:25","startHours":24.120922908539182,"endHours":25.409232835646662,"quality":"auspicious"},{"name":"Roga","start":"01:25","end":"02:42","startHours":25.409232835646662,"endHours":26.697542762754146,"quality":"inauspicious"},{"name":"Udveg","start":"02:42","end":"03:59","startHours":26.697542762754146,"endHours":27.985852689861627,"quality":"inauspicious"},{"name":"Chala","start":"03:59","end":"05:16","startHours":27.985852689861627,"endHours":29.274162616969107,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:16","end":"06:16","startHours":5.274162616969107,"endHours":6.274162616969107,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:16","end":"07:16","startHours":6.274162616969107,"endHours":7.274162616969107,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:16","end":"08:16","startHours":7.274162616969107,"endHours":8.274162616969107,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:16","end":"09:16","startHours":8.274162616969107,"endHours":9.274162616969107,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:16","end":"10:16","startHours":9.274162616969107,"endHours":10.274162616969107,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:16","end":"11:16","startHours":10.274162616969107,"endHours":11.274162616969107,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:16","end":"12:16","startHours":11.274162616969107,"endHours":12.274162616969107,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:16","end":"13:16","startHours":12.274162616969107,"endHours":13.274162616969107,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:16","end":"14:16","startHours":13.274162616969107,"endHours":14.274162616969107,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:16","end":"15:16","startHours":14.274162616969107,"endHours":15.274162616969107,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:16","end":"16:16","startHours":15.274162616969107,"endHours":16.274162616969107,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:16","end":"17:16","startHours":16.274162616969107,"endHours":17.274162616969107,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:16","end":"18:16","startHours":17.274162616969107,"endHours":18.274162616969107,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:16","end":"19:16","startHours":18.274162616969107,"endHours":19.274162616969107,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:16","end":"20:16","startHours":19.274162616969107,"endHours":20.274162616969107,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:16","end":"21:16","startHours":20.274162616969107,"endHours":21.274162616969107,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:16","end":"22:16","startHours":21.274162616969107,"endHours":22.274162616969107,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:16","end":"23:16","startHours":22.274162616969107,"endHours":23.274162616969107,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:16","end":"00:16","startHours":23.274162616969107,"endHours":24.274162616969107,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:16","end":"01:16","startHours":24.274162616969107,"endHours":25.274162616969107,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:16","end":"02:16","startHours":25.274162616969107,"endHours":26.274162616969107,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:16","end":"03:16","startHours":26.274162616969107,"endHours":27.274162616969107,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:16","end":"04:16","startHours":27.274162616969107,"endHours":28.274162616969107,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:16","end":"05:16","startHours":28.274162616969107,"endHours":29.274162616969107,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Utpāta","quality":"Inauspicious"},"drikRitu":"Grīṣma (Summer) (Drik)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":21.82867378578209,"eotMinutes":-6.071374512350812,"ayanamsa":-48.4024}},"calendars":{"vikram_samvat":-3116,"saka_samvat":-3251,"saka_samvatsara":"Prabhava","bengali_samvat":-3766,"malayalam_era":-3997,"nanakshahi_year":-4642,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Amāvasyā · Vikram -3116 undefined · Śaka -3251 Prabhava"},"festivals":[{"id":"kanya-sankranti","name":"Kanyā Saṅkrānti (Mahālaya begins)","name_sanskrit":"कन्या सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Virgo; Mahālaya / Pitṛ-Pakṣa solar marker.","vrata":false,"detection":{"sun_rashi":"Kanyā"},"precedence":4}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 July 31, 3174 BCE · Ayodhyā · Vidhyamitra","description":"July 31, 3174 BCE for Ayodhyā: Kṛṣṇa Amāvasyā, sūryodaya 05:16, sūryāsta 18:58.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/-3173-07-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/-3173-07-31","sa":"https://sa.vidhyamitra.com/city/ayodhya/-3173-07-31","hi":"https://hi.vidhyamitra.com/city/ayodhya/-3173-07-31","x-default":"https://vidhyamitra.com/city/ayodhya/-3173-07-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-20T05:40:59.368Z","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":"2026-05-20T05:40:59.368Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-20T05:40:59.368Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}