{"id":"vidhyamitra:city-day:ayodhya:2157-07-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/2157-07-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2157-07-20","date_display":"July 20, 2157 CE","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":2157,"month":7,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509088.770833,"kali_year":5259,"ahargana":1920623.2708,"sun":{"sidereal_longitude":90.8278,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":242.0301,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":151.2023,"elapsed_within_tithi_degrees":7.2023},"nakshatra":{"number":19,"name":"Mūla","pada":1,"moon_longitude":242.0301,"elapsed_within_degrees":2.0301},"yoga":{"number":25,"name":"Brahma","sum_longitude":332.8578},"karana":{"half_tithi_index":25,"name":"Taitila"},"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":2157,"month":7,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509088.770833,"ahargana":1920623.2708,"kali_year":5259,"ayanamsa_lahiri":26.0538,"grahas":{"sun":{"sidereal_longitude":91.65551499999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"moon":{"sidereal_longitude":243.26741500000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false,"latitude":-3.6442},"mars":{"sidereal_longitude":191.670115,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":96.393415,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":109.80391499999996,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":127.89221499999996,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":151.41891499999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":296.1364,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":116.1364,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":2157,"month":7,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509088.770833,"kali_year":5259,"ahargana":1920623.2708,"sun":{"sidereal_longitude":90.8278,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":242.0301,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":151.2023,"elapsed_within_tithi_degrees":7.2023},"nakshatra":{"number":19,"name":"Mūla","pada":1,"moon_longitude":242.0301,"elapsed_within_degrees":2.0301},"yoga":{"number":25,"name":"Brahma","sum_longitude":332.8578},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.644,"elongation":151.202},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.644,"opposition_distance":28.798}},"eclipse_window_40days":[{"offset_days":16,"type":"solar","occurs":true,"moon_latitude":0.786,"elongation":0.793}]},"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":"05:19","sunsetLocal":"18:55","solarNoonLocal":"12:07","dayLengthHours":13.596263794729698,"dayLengthDisplay":"13 Hours 35 Mins 47 Secs","nightLengthDisplay":"10 Hours 24 Mins 13 Secs","moonriseLocal":"17:01","moonsetLocal":"03:26","rahuKala":{"name":"Rāhu Kāla","start":"12:07","end":"13:49","startHours":12.119637020252624,"endHours":13.819169994593835,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:01","end":"08:43","startHours":7.0210380972289865,"endHours":8.720571071570198,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:25","end":"12:07","startHours":10.420104045911412,"endHours":12.119637020252624,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:30","end":"08:57","startHours":8.493966674991372,"endHours":8.947175468149027,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:53","end":"06:15","startHours":5.888016114334846,"endHours":6.250583148860971,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:40","end":"12:34","startHours":11.666428227094967,"endHours":12.57284581341028,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:31","end":"04:25","startHours":3.5086699502571483,"endHours":4.415087536572462,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:11","end":"05:19","startHours":4.188483139993633,"endHours":5.321505122887775,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:23","end":"15:18","startHours":14.385680986040907,"endHours":15.29209857235622,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:43","end":"19:07","startHours":18.717768917617473,"endHours":19.11776891761747,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:55","end":"19:29","startHours":18.917768917617472,"endHours":19.484279909064544,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:40","end":"20:25","startHours":18.667768917617472,"endHours":20.417768917617472,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:40","end":"00:34","startHours":23.66642822709497,"endHours":24.572845813410282,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:19","end":"07:01","startHours":5.321505122887775,"endHours":7.0210380972289865,"quality":"auspicious"},{"name":"Amṛta","start":"07:01","end":"08:43","startHours":7.0210380972289865,"endHours":8.720571071570198,"quality":"auspicious"},{"name":"Kāla","start":"08:43","end":"10:25","startHours":8.720571071570198,"endHours":10.420104045911412,"quality":"inauspicious"},{"name":"Śubha","start":"10:25","end":"12:07","startHours":10.420104045911412,"endHours":12.119637020252624,"quality":"auspicious"},{"name":"Roga","start":"12:07","end":"13:49","startHours":12.119637020252624,"endHours":13.819169994593835,"quality":"inauspicious"},{"name":"Udveg","start":"13:49","end":"15:31","startHours":13.819169994593835,"endHours":15.518702968935049,"quality":"inauspicious"},{"name":"Chala","start":"15:31","end":"17:13","startHours":15.518702968935049,"endHours":17.218235943276262,"quality":"neutral"},{"name":"Labha","start":"17:13","end":"18:55","startHours":17.218235943276262,"endHours":18.917768917617472,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:55","end":"20:13","startHours":18.917768917617472,"endHours":20.21823594327626,"quality":"inauspicious"},{"name":"Chala","start":"20:13","end":"21:31","startHours":20.21823594327626,"endHours":21.51870296893505,"quality":"neutral"},{"name":"Labha","start":"21:31","end":"22:49","startHours":21.51870296893505,"endHours":22.819169994593835,"quality":"auspicious"},{"name":"Amṛta","start":"22:49","end":"00:07","startHours":22.819169994593835,"endHours":24.119637020252625,"quality":"auspicious"},{"name":"Kāla","start":"00:07","end":"01:25","startHours":24.119637020252625,"endHours":25.420104045911412,"quality":"inauspicious"},{"name":"Śubha","start":"01:25","end":"02:43","startHours":25.420104045911412,"endHours":26.7205710715702,"quality":"auspicious"},{"name":"Roga","start":"02:43","end":"04:01","startHours":26.7205710715702,"endHours":28.02103809722899,"quality":"inauspicious"},{"name":"Udveg","start":"04:01","end":"05:19","startHours":28.02103809722899,"endHours":29.321505122887775,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:19","end":"06:19","startHours":5.321505122887775,"endHours":6.321505122887775,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:19","end":"07:19","startHours":6.321505122887775,"endHours":7.321505122887775,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:19","end":"08:19","startHours":7.321505122887775,"endHours":8.321505122887775,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:19","end":"09:19","startHours":8.321505122887775,"endHours":9.321505122887775,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:19","end":"10:19","startHours":9.321505122887775,"endHours":10.321505122887775,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:19","end":"11:19","startHours":10.321505122887775,"endHours":11.321505122887775,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:19","end":"12:19","startHours":11.321505122887775,"endHours":12.321505122887775,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:19","end":"13:19","startHours":12.321505122887775,"endHours":13.321505122887775,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:19","end":"14:19","startHours":13.321505122887775,"endHours":14.321505122887775,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:19","end":"15:19","startHours":14.321505122887775,"endHours":15.321505122887775,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:19","end":"16:19","startHours":15.321505122887775,"endHours":16.321505122887775,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:19","end":"17:19","startHours":16.321505122887775,"endHours":17.321505122887775,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:19","end":"18:19","startHours":17.321505122887775,"endHours":18.321505122887775,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:19","end":"19:19","startHours":18.321505122887775,"endHours":19.321505122887775,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:19","end":"20:19","startHours":19.321505122887775,"endHours":20.321505122887775,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:19","end":"21:19","startHours":20.321505122887775,"endHours":21.321505122887775,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:19","end":"22:19","startHours":21.321505122887775,"endHours":22.321505122887775,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:19","end":"23:19","startHours":22.321505122887775,"endHours":23.321505122887775,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:19","end":"00:19","startHours":23.321505122887775,"endHours":24.321505122887775,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:19","end":"01:19","startHours":24.321505122887775,"endHours":25.321505122887775,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:19","end":"02:19","startHours":25.321505122887775,"endHours":26.321505122887775,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:19","end":"03:19","startHours":26.321505122887775,"endHours":27.321505122887775,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:19","end":"04:19","startHours":27.321505122887775,"endHours":28.321505122887775,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:19","end":"05:19","startHours":28.321505122887775,"endHours":29.321505122887775,"planetary_lord":"Sun"}],"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","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Dhūmra","quality":"Inauspicious"},"drikRitu":"Grīṣma (Summer)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":20.61702179830589,"eotMinutes":-5.99422121515736,"ayanamsa":26.0538}},"calendars":{"vikram_samvat":2214,"vikram_samvatsara":"Pramoda","saka_samvat":2079,"saka_samvatsara":"Piṅgala","bengali_samvat":1564,"malayalam_era":1333,"nanakshahi_year":688,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Trayodaśī · Vikram 2214 Pramoda · Śaka 2079 Piṅgala"},"festivals":[{"id":"karka-sankranti","name":"Karka Saṅkrānti (Dakṣiṇāyana)","name_sanskrit":"कर्क सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Cancer; Dakṣiṇāyana (south-going) begins. Devatā-rātri begins.","vrata":true,"detection":{"sun_rashi":"Karka"},"precedence":2},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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":[]},"validity":{"eternal":false,"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 20, 2157 CE · Ayodhyā · Vidhyamitra","description":"July 20, 2157 CE for Ayodhyā: Śukla Trayodaśī, sūryodaya 05:19, sūryāsta 18:55.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/2157-07-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/2157-07-20","sa":"https://sa.vidhyamitra.com/city/ayodhya/2157-07-20","hi":"https://hi.vidhyamitra.com/city/ayodhya/2157-07-20","x-default":"https://vidhyamitra.com/city/ayodhya/2157-07-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-19T19:40:50.041Z","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":"2026-05-19T19:40:50.041Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-19T19:40:50.041Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}