{"id":"vidhyamitra:city-day:ayodhya:2050-10-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/2050-10-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2050-10-21","date_display":"October 21, 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":10,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470100.770833,"kali_year":5152,"ahargana":1881635.2708,"sun":{"sidereal_longitude":182.4334,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":244.6962,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":62.2629,"elapsed_within_tithi_degrees":2.2629},"nakshatra":{"number":19,"name":"Mūla","pada":2,"moon_longitude":244.6962,"elapsed_within_degrees":4.6962},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":67.1296},"karana":{"half_tithi_index":10,"name":"Kaulava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":10,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2470100.770833,"ahargana":1881635.2708,"kali_year":5152,"ayanamsa_lahiri":24.5627,"grahas":{"sun":{"sidereal_longitude":183.27894300000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":242.70274300000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false,"latitude":3.0551},"mars":{"sidereal_longitude":299.82544299999995,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":191.84734300000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":125.01914299999999,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":175.91234299999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":true},"saturn":{"sidereal_longitude":277.205743,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":201.9083,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":21.9083,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":2050,"month":10,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470100.770833,"kali_year":5152,"ahargana":1881635.2708,"sun":{"sidereal_longitude":182.4334,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":244.6962,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":62.2629,"elapsed_within_tithi_degrees":2.2629},"nakshatra":{"number":19,"name":"Mūla","pada":2,"moon_longitude":244.6962,"elapsed_within_degrees":4.6962},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":67.1296},"karana":{"half_tithi_index":10,"name":"Kaulava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.055,"elongation":62.263},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.055,"opposition_distance":117.737}},"eclipse_window_40days":[{"offset_days":9,"type":"lunar","occurs":true,"moon_latitude":0.786,"opposition_distance":0.07}]},"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":"06:03","sunsetLocal":"17:27","solarNoonLocal":"11:45","dayLengthHours":11.39652701859671,"dayLengthDisplay":"11 Hours 23 Mins 47 Secs","nightLengthDisplay":"12 Hours 36 Mins 13 Secs","moonriseLocal":"10:31","moonsetLocal":"20:55","rahuKala":{"name":"Rāhu Kāla","start":"10:20","end":"11:45","startHours":10.331343779897,"endHours":11.75590965722159,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:36","end":"16:02","startHours":14.605041411870765,"endHours":16.029607289195354,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:29","end":"08:54","startHours":7.482212025247822,"endHours":8.906777902572411,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:43","end":"09:06","startHours":8.7168357855958,"endHours":9.096720019549023,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:32","end":"06:50","startHours":6.532501440364763,"endHours":6.836408827527342,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:23","end":"12:08","startHours":11.376025423268365,"endHours":12.135793891174812,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:32","end":"05:18","startHours":4.538109212110339,"endHours":5.297877680016787,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:06","end":"06:03","startHours":5.107935563040175,"endHours":6.057646147923234,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:39","end":"14:25","startHours":13.655330826987708,"endHours":14.415099294894155,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:15","end":"17:39","startHours":17.254173166519944,"endHours":17.654173166519943,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:27","end":"17:56","startHours":17.454173166519944,"endHours":17.929028458961472,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:12","end":"18:57","startHours":17.204173166519944,"endHours":18.954173166519944,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:23","end":"00:08","startHours":23.376025423268363,"endHours":24.13579389117481,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:03","end":"07:29","startHours":6.057646147923234,"endHours":7.482212025247822,"quality":"neutral"},{"name":"Labha","start":"07:29","end":"08:54","startHours":7.482212025247822,"endHours":8.906777902572411,"quality":"auspicious"},{"name":"Amṛta","start":"08:54","end":"10:20","startHours":8.906777902572411,"endHours":10.331343779897,"quality":"auspicious"},{"name":"Kāla","start":"10:20","end":"11:45","startHours":10.331343779897,"endHours":11.75590965722159,"quality":"inauspicious"},{"name":"Śubha","start":"11:45","end":"13:11","startHours":11.75590965722159,"endHours":13.18047553454618,"quality":"auspicious"},{"name":"Roga","start":"13:11","end":"14:36","startHours":13.18047553454618,"endHours":14.605041411870765,"quality":"inauspicious"},{"name":"Udveg","start":"14:36","end":"16:02","startHours":14.605041411870765,"endHours":16.029607289195354,"quality":"inauspicious"},{"name":"Chala","start":"16:02","end":"17:27","startHours":16.029607289195354,"endHours":17.454173166519944,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:27","end":"19:02","startHours":17.454173166519944,"endHours":19.029607289195354,"quality":"inauspicious"},{"name":"Udveg","start":"19:02","end":"20:36","startHours":19.029607289195354,"endHours":20.605041411870765,"quality":"inauspicious"},{"name":"Chala","start":"20:36","end":"22:11","startHours":20.605041411870765,"endHours":22.180475534546176,"quality":"neutral"},{"name":"Labha","start":"22:11","end":"23:45","startHours":22.180475534546176,"endHours":23.755909657221586,"quality":"auspicious"},{"name":"Amṛta","start":"23:45","end":"01:20","startHours":23.755909657221586,"endHours":25.331343779896997,"quality":"auspicious"},{"name":"Kāla","start":"01:20","end":"02:54","startHours":25.331343779896997,"endHours":26.90677790257241,"quality":"inauspicious"},{"name":"Śubha","start":"02:54","end":"04:29","startHours":26.90677790257241,"endHours":28.482212025247822,"quality":"auspicious"},{"name":"Roga","start":"04:29","end":"06:03","startHours":28.482212025247822,"endHours":30.057646147923233,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:03","end":"07:03","startHours":6.057646147923234,"endHours":7.057646147923234,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:03","end":"08:03","startHours":7.057646147923234,"endHours":8.057646147923233,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:03","end":"09:03","startHours":8.057646147923233,"endHours":9.057646147923233,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:03","end":"10:03","startHours":9.057646147923233,"endHours":10.057646147923233,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:03","end":"11:03","startHours":10.057646147923233,"endHours":11.057646147923233,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:03","end":"12:03","startHours":11.057646147923233,"endHours":12.057646147923233,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:03","end":"13:03","startHours":12.057646147923233,"endHours":13.057646147923233,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:03","end":"14:03","startHours":13.057646147923233,"endHours":14.057646147923233,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:03","end":"15:03","startHours":14.057646147923233,"endHours":15.057646147923233,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:03","end":"16:03","startHours":15.057646147923233,"endHours":16.057646147923233,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:03","end":"17:03","startHours":16.057646147923233,"endHours":17.057646147923233,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:03","end":"18:03","startHours":17.057646147923233,"endHours":18.057646147923233,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:03","end":"19:03","startHours":18.057646147923233,"endHours":19.057646147923233,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:03","end":"20:03","startHours":19.057646147923233,"endHours":20.057646147923233,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:03","end":"21:03","startHours":20.057646147923233,"endHours":21.057646147923233,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:03","end":"22:03","startHours":21.057646147923233,"endHours":22.057646147923233,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:03","end":"23:03","startHours":22.057646147923233,"endHours":23.057646147923233,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:03","end":"00:03","startHours":23.057646147923233,"endHours":24.057646147923233,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:03","end":"01:03","startHours":24.057646147923233,"endHours":25.057646147923233,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:03","end":"02:03","startHours":25.057646147923233,"endHours":26.057646147923233,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:03","end":"03:03","startHours":26.057646147923233,"endHours":27.057646147923233,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:03","end":"04:03","startHours":27.057646147923233,"endHours":28.057646147923233,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:03","end":"05:03","startHours":28.057646147923233,"endHours":29.057646147923233,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:03","end":"06:03","startHours":29.057646147923233,"endHours":30.057646147923233,"planetary_lord":"Mars"}],"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":"West (Paścim)","chandraVasa":"East","rahuVasa":"South-East","anandadiYoga":{"name":"Chatra","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-10.705023537304214,"eotMinutes":15.829420566704727,"ayanamsa":24.5627}},"calendars":{"vikram_samvat":2107,"vikram_samvatsara":"Subhānu","saka_samvat":1972,"saka_samvatsara":"Pramoda","bengali_samvat":1457,"malayalam_era":1226,"nanakshahi_year":581,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Ṣaṣṭhī · Vikram 2107 Subhānu · Śaka 1972 Pramoda"},"festivals":[],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 October 21, 2050 CE · Ayodhyā · Vidhyamitra","description":"October 21, 2050 CE for Ayodhyā: Śukla Ṣaṣṭhī, sūryodaya 06:03, sūryāsta 17:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/2050-10-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/2050-10-21","sa":"https://sa.vidhyamitra.com/city/ayodhya/2050-10-21","hi":"https://hi.vidhyamitra.com/city/ayodhya/2050-10-21","x-default":"https://vidhyamitra.com/city/ayodhya/2050-10-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T15:23:20.946Z","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":"2026-06-01T15:23:20.946Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T15:23:20.946Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}