{"id":"vidhyamitra:city-day:ayodhya:2050-07-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/2050-07-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2050-07-16","date_display":"July 16, 2050 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":2050,"month":7,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470003.770833,"kali_year":5152,"ahargana":1881538.2708,"sun":{"sidereal_longitude":88.6364,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":55.69,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":327.0536,"elapsed_within_tithi_degrees":3.0536},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":55.69,"elapsed_within_degrees":2.3566},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":144.3264},"karana":{"half_tithi_index":54,"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":2050,"month":7,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2470003.770833,"ahargana":1881538.2708,"kali_year":5152,"ayanamsa_lahiri":24.559,"grahas":{"sun":{"sidereal_longitude":89.18995000000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"moon":{"sidereal_longitude":56.256849999999986,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false,"latitude":-2.1553},"mars":{"sidereal_longitude":301.3703499999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":112.42925000000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":105.16634999999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"venus":{"sidereal_longitude":132.74435,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":281.19945000000007,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":207.0478,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":27.0478,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","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":2050,"month":7,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470003.770833,"kali_year":5152,"ahargana":1881538.2708,"sun":{"sidereal_longitude":88.6364,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":55.69,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":327.0536,"elapsed_within_tithi_degrees":3.0536},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":55.69,"elapsed_within_degrees":2.3566},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":144.3264},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.155,"elongation":32.946},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.155,"opposition_distance":147.054}},"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":"05:17","sunsetLocal":"18:57","solarNoonLocal":"12:07","dayLengthHours":13.654807237655211,"dayLengthDisplay":"13 Hours 39 Mins 17 Secs","nightLengthDisplay":"10 Hours 20 Mins 43 Secs","moonriseLocal":"03:02","moonsetLocal":"16:48","rahuKala":{"name":"Rāhu Kāla","start":"08:42","end":"10:24","startHours":8.70074386752415,"endHours":10.40759477223105,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:49","end":"15:32","startHours":13.821296581644853,"endHours":15.528147486351754,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:17","end":"07:00","startHours":5.287042058110346,"endHours":6.993892962817248,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:28","end":"08:56","startHours":8.473163746896562,"endHours":8.928323988151735,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:51","end":"06:13","startHours":5.8559923596793135,"endHours":6.220120552683452,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:40","end":"12:34","startHours":11.659285435682778,"endHours":12.569605918193124,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:28","end":"04:23","startHours":3.466401093089652,"endHours":4.376721575599999,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:09","end":"05:17","startHours":4.149141454972412,"endHours":5.287042058110346,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:23","end":"15:18","startHours":14.39024688321382,"endHours":15.300567365724167,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:45","end":"19:09","startHours":18.741849295765558,"endHours":19.141849295765557,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:57","end":"19:31","startHours":18.941849295765557,"endHours":19.510799597334525,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:42","end":"20:27","startHours":18.691849295765557,"endHours":20.441849295765557,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:40","end":"00:34","startHours":23.659285435682776,"endHours":24.569605918193126,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:17","end":"07:00","startHours":5.287042058110346,"endHours":6.993892962817248,"quality":"inauspicious"},{"name":"Śubha","start":"07:00","end":"08:42","startHours":6.993892962817248,"endHours":8.70074386752415,"quality":"auspicious"},{"name":"Roga","start":"08:42","end":"10:24","startHours":8.70074386752415,"endHours":10.40759477223105,"quality":"inauspicious"},{"name":"Udveg","start":"10:24","end":"12:07","startHours":10.40759477223105,"endHours":12.114445676937951,"quality":"inauspicious"},{"name":"Chala","start":"12:07","end":"13:49","startHours":12.114445676937951,"endHours":13.821296581644853,"quality":"neutral"},{"name":"Labha","start":"13:49","end":"15:32","startHours":13.821296581644853,"endHours":15.528147486351754,"quality":"auspicious"},{"name":"Amṛta","start":"15:32","end":"17:14","startHours":15.528147486351754,"endHours":17.234998391058657,"quality":"auspicious"},{"name":"Kāla","start":"17:14","end":"18:57","startHours":17.234998391058657,"endHours":18.941849295765557,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:57","end":"20:14","startHours":18.941849295765557,"endHours":20.234998391058657,"quality":"auspicious"},{"name":"Amṛta","start":"20:14","end":"21:32","startHours":20.234998391058657,"endHours":21.528147486351756,"quality":"auspicious"},{"name":"Kāla","start":"21:32","end":"22:49","startHours":21.528147486351756,"endHours":22.82129658164485,"quality":"inauspicious"},{"name":"Śubha","start":"22:49","end":"00:07","startHours":22.82129658164485,"endHours":24.11444567693795,"quality":"auspicious"},{"name":"Roga","start":"00:07","end":"01:24","startHours":24.11444567693795,"endHours":25.40759477223105,"quality":"inauspicious"},{"name":"Udveg","start":"01:24","end":"02:42","startHours":25.40759477223105,"endHours":26.70074386752415,"quality":"inauspicious"},{"name":"Chala","start":"02:42","end":"04:00","startHours":26.70074386752415,"endHours":27.99389296281725,"quality":"neutral"},{"name":"Labha","start":"04:00","end":"05:17","startHours":27.99389296281725,"endHours":29.287042058110345,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:17","end":"06:17","startHours":5.287042058110346,"endHours":6.287042058110346,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:17","end":"07:17","startHours":6.287042058110346,"endHours":7.287042058110346,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:17","end":"08:17","startHours":7.287042058110346,"endHours":8.287042058110346,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:17","end":"09:17","startHours":8.287042058110346,"endHours":9.287042058110346,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:17","end":"10:17","startHours":9.287042058110346,"endHours":10.287042058110346,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:17","end":"11:17","startHours":10.287042058110346,"endHours":11.287042058110346,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:17","end":"12:17","startHours":11.287042058110346,"endHours":12.287042058110346,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:17","end":"13:17","startHours":12.287042058110346,"endHours":13.287042058110346,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:17","end":"14:17","startHours":13.287042058110346,"endHours":14.287042058110346,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:17","end":"15:17","startHours":14.287042058110346,"endHours":15.287042058110346,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:17","end":"16:17","startHours":15.287042058110346,"endHours":16.287042058110345,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:17","end":"17:17","startHours":16.287042058110345,"endHours":17.287042058110345,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:17","end":"18:17","startHours":17.287042058110345,"endHours":18.287042058110345,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:17","end":"19:17","startHours":18.287042058110345,"endHours":19.287042058110345,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:17","end":"20:17","startHours":19.287042058110345,"endHours":20.287042058110345,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:17","end":"21:17","startHours":20.287042058110345,"endHours":21.287042058110345,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:17","end":"22:17","startHours":21.287042058110345,"endHours":22.287042058110345,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:17","end":"23:17","startHours":22.287042058110345,"endHours":23.287042058110345,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:17","end":"00:17","startHours":23.287042058110345,"endHours":24.287042058110345,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:17","end":"01:17","startHours":24.287042058110345,"endHours":25.287042058110345,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:17","end":"02:17","startHours":25.287042058110345,"endHours":26.287042058110345,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:17","end":"03:17","startHours":26.287042058110345,"endHours":27.287042058110345,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:17","end":"04:17","startHours":27.287042058110345,"endHours":28.287042058110345,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:17","end":"05:17","startHours":28.287042058110345,"endHours":29.287042058110345,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"East","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"drikRitu":"Grīṣma (Summer) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":21.349254212113614,"eotMinutes":-5.682740616276977,"ayanamsa":24.559}},"calendars":{"vikram_samvat":2107,"vikram_samvatsara":"Subhānu","saka_samvat":1972,"saka_samvatsara":"Pramoda","bengali_samvat":1457,"malayalam_era":1226,"nanakshahi_year":581,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Trayodaśī · Vikram 2107 Subhānu · Śaka 1972 Pramoda"},"festivals":[{"id":"mithuna-sankranti","name":"Mithuna Saṅkrānti","name_sanskrit":"मिथुन सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Gemini.","vrata":false,"detection":{"sun_rashi":"Mithuna"},"precedence":5},{"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":"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":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 16, 2050 CE · Ayodhyā · Vidhyamitra","description":"July 16, 2050 CE for Ayodhyā: Kṛṣṇa Trayodaśī, sūryodaya 05:17, sūryāsta 18:57.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/2050-07-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/2050-07-16","sa":"https://sa.vidhyamitra.com/city/ayodhya/2050-07-16","hi":"https://hi.vidhyamitra.com/city/ayodhya/2050-07-16","x-default":"https://vidhyamitra.com/city/ayodhya/2050-07-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-17T09:43:24.139Z","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":"2026-05-17T09:43:24.139Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-17T09:43:24.139Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}