{"id":"vidhyamitra:city-day:ayodhya:2050-09-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/2050-09-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2050-09-13","date_display":"September 13, 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":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470062.770833,"kali_year":5152,"ahargana":1881597.2708,"sun":{"sidereal_longitude":145.0665,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":109.7436,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":324.677,"elapsed_within_tithi_degrees":0.677},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":109.7436,"elapsed_within_degrees":3.0769},"yoga":{"number":20,"name":"Śiva","sum_longitude":254.8101},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":9,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2470062.770833,"ahargana":1881597.2708,"kali_year":5152,"ayanamsa_lahiri":24.5612,"grahas":{"sun":{"sidereal_longitude":145.91049499999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":111.951595,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false,"latitude":-4.488},"mars":{"sidereal_longitude":291.35529500000007,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":127.59669500000001,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":117.934595,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":183.33629500000006,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":277.451995,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":203.9217,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":23.9217,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":2050,"month":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470062.770833,"kali_year":5152,"ahargana":1881597.2708,"sun":{"sidereal_longitude":145.0665,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":109.7436,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":324.677,"elapsed_within_tithi_degrees":0.677},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":109.7436,"elapsed_within_degrees":3.0769},"yoga":{"number":20,"name":"Śiva","sum_longitude":254.8101},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.488,"elongation":35.323},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.488,"opposition_distance":144.677}},"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":"05:45","sunsetLocal":"18:08","solarNoonLocal":"11:56","dayLengthHours":12.379463243268447,"dayLengthDisplay":"12 Hours 22 Mins 46 Secs","nightLengthDisplay":"11 Hours 37 Mins 14 Secs","moonriseLocal":"03:05","moonsetLocal":"16:16","rahuKala":{"name":"Rāhu Kāla","start":"15:02","end":"16:35","startHours":15.035367961986012,"endHours":16.582800867394567,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:51","end":"10:24","startHours":8.845636340351788,"endHours":10.393069245760344,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:56","end":"13:29","startHours":11.9405021511689,"endHours":13.487935056577456,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:38","end":"09:03","startHours":8.639311952963979,"endHours":9.051960727739594,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:16","end":"06:36","startHours":6.266581498004195,"endHours":6.5967005178246865,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:32","end":"12:21","startHours":11.527853376393285,"endHours":12.353150925944515,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:06","end":"04:56","startHours":4.100175430432216,"endHours":4.9254729799834465,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:43","end":"05:45","startHours":4.719148592595639,"endHours":5.750770529534676,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:00","end":"14:50","startHours":14.003746025046976,"endHours":14.829043574598206,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:56","end":"18:20","startHours":17.930233772803124,"endHours":18.330233772803123,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:08","end":"18:39","startHours":18.130233772803123,"endHours":18.646044741272643,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:53","end":"19:38","startHours":17.880233772803123,"endHours":19.630233772803123,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:32","end":"00:21","startHours":23.527853376393285,"endHours":24.353150925944515,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:45","end":"07:18","startHours":5.750770529534676,"endHours":7.298203434943232,"quality":"inauspicious"},{"name":"Udveg","start":"07:18","end":"08:51","startHours":7.298203434943232,"endHours":8.845636340351788,"quality":"inauspicious"},{"name":"Chala","start":"08:51","end":"10:24","startHours":8.845636340351788,"endHours":10.393069245760344,"quality":"neutral"},{"name":"Labha","start":"10:24","end":"11:56","startHours":10.393069245760344,"endHours":11.9405021511689,"quality":"auspicious"},{"name":"Amṛta","start":"11:56","end":"13:29","startHours":11.9405021511689,"endHours":13.487935056577456,"quality":"auspicious"},{"name":"Kāla","start":"13:29","end":"15:02","startHours":13.487935056577456,"endHours":15.035367961986012,"quality":"inauspicious"},{"name":"Śubha","start":"15:02","end":"16:35","startHours":15.035367961986012,"endHours":16.582800867394567,"quality":"auspicious"},{"name":"Roga","start":"16:35","end":"18:08","startHours":16.582800867394567,"endHours":18.130233772803123,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:08","end":"19:35","startHours":18.130233772803123,"endHours":19.582800867394567,"quality":"inauspicious"},{"name":"Śubha","start":"19:35","end":"21:02","startHours":19.582800867394567,"endHours":21.03536796198601,"quality":"auspicious"},{"name":"Roga","start":"21:02","end":"22:29","startHours":21.03536796198601,"endHours":22.487935056577456,"quality":"inauspicious"},{"name":"Udveg","start":"22:29","end":"23:56","startHours":22.487935056577456,"endHours":23.9405021511689,"quality":"inauspicious"},{"name":"Chala","start":"23:56","end":"01:24","startHours":23.9405021511689,"endHours":25.393069245760344,"quality":"neutral"},{"name":"Labha","start":"01:24","end":"02:51","startHours":25.393069245760344,"endHours":26.84563634035179,"quality":"auspicious"},{"name":"Amṛta","start":"02:51","end":"04:18","startHours":26.84563634035179,"endHours":28.298203434943233,"quality":"auspicious"},{"name":"Kāla","start":"04:18","end":"05:45","startHours":28.298203434943233,"endHours":29.750770529534677,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:45","end":"06:45","startHours":5.750770529534676,"endHours":6.750770529534676,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:45","end":"07:45","startHours":6.750770529534676,"endHours":7.750770529534676,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:45","end":"08:45","startHours":7.750770529534676,"endHours":8.750770529534677,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:45","end":"09:45","startHours":8.750770529534677,"endHours":9.750770529534677,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:45","end":"10:45","startHours":9.750770529534677,"endHours":10.750770529534677,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:45","end":"11:45","startHours":10.750770529534677,"endHours":11.750770529534677,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:45","end":"12:45","startHours":11.750770529534677,"endHours":12.750770529534677,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:45","end":"13:45","startHours":12.750770529534677,"endHours":13.750770529534677,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:45","end":"14:45","startHours":13.750770529534677,"endHours":14.750770529534677,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:45","end":"15:45","startHours":14.750770529534677,"endHours":15.750770529534677,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:45","end":"16:45","startHours":15.750770529534677,"endHours":16.750770529534677,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:45","end":"17:45","startHours":16.750770529534677,"endHours":17.750770529534677,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:45","end":"18:45","startHours":17.750770529534677,"endHours":18.750770529534677,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:45","end":"19:45","startHours":18.750770529534677,"endHours":19.750770529534677,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:45","end":"20:45","startHours":19.750770529534677,"endHours":20.750770529534677,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:45","end":"21:45","startHours":20.750770529534677,"endHours":21.750770529534677,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:45","end":"22:45","startHours":21.750770529534677,"endHours":22.750770529534677,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:45","end":"23:45","startHours":22.750770529534677,"endHours":23.750770529534677,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:45","end":"00:45","startHours":23.750770529534677,"endHours":24.750770529534677,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:45","end":"01:45","startHours":24.750770529534677,"endHours":25.750770529534677,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:45","end":"02:45","startHours":25.750770529534677,"endHours":26.750770529534677,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:45","end":"03:45","startHours":26.750770529534677,"endHours":27.750770529534677,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:45","end":"04:45","startHours":27.750770529534677,"endHours":28.750770529534677,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:45","end":"05:45","startHours":28.750770529534677,"endHours":29.750770529534677,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"North","anandadiYoga":{"name":"Mṛtyu","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":3.7750030248853235,"eotMinutes":4.753870929866006,"ayanamsa":24.5612}},"calendars":{"vikram_samvat":2107,"vikram_samvatsara":"Subhānu","saka_samvat":1972,"saka_samvatsara":"Pramoda","bengali_samvat":1457,"malayalam_era":1226,"nanakshahi_year":581,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Trayodaśī · Vikram 2107 Subhānu · Śaka 1972 Pramoda"},"festivals":[{"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":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 September 13, 2050 CE · Ayodhyā · Vidhyamitra","description":"September 13, 2050 CE for Ayodhyā: Kṛṣṇa Trayodaśī, sūryodaya 05:45, sūryāsta 18:08.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/2050-09-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/2050-09-13","sa":"https://sa.vidhyamitra.com/city/ayodhya/2050-09-13","hi":"https://hi.vidhyamitra.com/city/ayodhya/2050-09-13","x-default":"https://vidhyamitra.com/city/ayodhya/2050-09-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T21:14:45.202Z","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":"2026-05-31T21:14:45.202Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T21:14:45.202Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}