{"id":"vidhyamitra:city-day:ayodhya:2045-10-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/2045-10-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-10-21","date_display":"October 21, 2045 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":2045,"month":10,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468274.770833,"kali_year":5147,"ahargana":1879809.2708,"sun":{"sidereal_longitude":182.7262,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":306.9326,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":124.2065,"elapsed_within_tithi_degrees":4.2065},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1,"moon_longitude":306.9326,"elapsed_within_degrees":0.266},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":129.6588},"karana":{"half_tithi_index":20,"name":"Vaṇija"},"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":2045,"month":10,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468274.770833,"ahargana":1879809.2708,"kali_year":5147,"ayanamsa_lahiri":24.4929,"grahas":{"sun":{"sidereal_longitude":183.55930999999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":308.7928099999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false,"latitude":0.6469},"mars":{"sidereal_longitude":131.50090999999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":206.77180999999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":308.12960999999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":229.82061,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":223.75341000000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":298.6586,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":118.6586,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":2045,"month":10,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468274.770833,"kali_year":5147,"ahargana":1879809.2708,"sun":{"sidereal_longitude":182.7262,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":306.9326,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":124.2065,"elapsed_within_tithi_degrees":4.2065},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1,"moon_longitude":306.9326,"elapsed_within_degrees":0.266},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":129.6588},"karana":{"half_tithi_index":20,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.647,"elongation":124.206},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.647,"opposition_distance":55.794}},"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":"06:04","sunsetLocal":"17:27","solarNoonLocal":"11:45","dayLengthHours":11.391288060958825,"dayLengthDisplay":"11 Hours 23 Mins 29 Secs","nightLengthDisplay":"12 Hours 36 Mins 31 Secs","moonriseLocal":"14:25","moonsetLocal":"01:48","rahuKala":{"name":"Rāhu Kāla","start":"08:54","end":"10:20","startHours":8.908087641981881,"endHours":10.331998649601733,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:11","end":"14:36","startHours":13.17982066484144,"endHours":14.603731672461294,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:04","end":"07:29","startHours":6.060265626742175,"endHours":7.4841766343620275,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:43","end":"09:06","startHours":8.7182328409659,"endHours":9.097942442997862,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:32","end":"06:50","startHours":6.534902629282126,"endHours":6.838670310907695,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:23","end":"12:08","startHours":11.376200055189628,"endHours":12.135619259253549,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:32","end":"05:18","startHours":4.541427218614332,"endHours":5.300846422678253,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:07","end":"06:04","startHours":5.110991621662273,"endHours":6.060265626742175,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:39","end":"14:25","startHours":13.654457667381392,"endHours":14.413876871445314,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:15","end":"17:39","startHours":17.251553687701,"endHours":17.651553687701,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:27","end":"17:56","startHours":17.451553687701,"endHours":17.92619069024095,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:12","end":"18:57","startHours":17.201553687701,"endHours":18.951553687701,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:23","end":"00:08","startHours":23.376200055189624,"endHours":24.13561925925355,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:04","end":"07:29","startHours":6.060265626742175,"endHours":7.4841766343620275,"quality":"inauspicious"},{"name":"Śubha","start":"07:29","end":"08:54","startHours":7.4841766343620275,"endHours":8.908087641981881,"quality":"auspicious"},{"name":"Roga","start":"08:54","end":"10:20","startHours":8.908087641981881,"endHours":10.331998649601733,"quality":"inauspicious"},{"name":"Udveg","start":"10:20","end":"11:45","startHours":10.331998649601733,"endHours":11.755909657221586,"quality":"inauspicious"},{"name":"Chala","start":"11:45","end":"13:11","startHours":11.755909657221586,"endHours":13.17982066484144,"quality":"neutral"},{"name":"Labha","start":"13:11","end":"14:36","startHours":13.17982066484144,"endHours":14.603731672461294,"quality":"auspicious"},{"name":"Amṛta","start":"14:36","end":"16:02","startHours":14.603731672461294,"endHours":16.027642680081147,"quality":"auspicious"},{"name":"Kāla","start":"16:02","end":"17:27","startHours":16.027642680081147,"endHours":17.451553687701,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:27","end":"19:02","startHours":17.451553687701,"endHours":19.027642680081147,"quality":"auspicious"},{"name":"Amṛta","start":"19:02","end":"20:36","startHours":19.027642680081147,"endHours":20.603731672461294,"quality":"auspicious"},{"name":"Kāla","start":"20:36","end":"22:11","startHours":20.603731672461294,"endHours":22.179820664841444,"quality":"inauspicious"},{"name":"Śubha","start":"22:11","end":"23:45","startHours":22.179820664841444,"endHours":23.755909657221586,"quality":"auspicious"},{"name":"Roga","start":"23:45","end":"01:20","startHours":23.755909657221586,"endHours":25.331998649601736,"quality":"inauspicious"},{"name":"Udveg","start":"01:20","end":"02:54","startHours":25.331998649601736,"endHours":26.908087641981883,"quality":"inauspicious"},{"name":"Chala","start":"02:54","end":"04:29","startHours":26.908087641981883,"endHours":28.48417663436203,"quality":"neutral"},{"name":"Labha","start":"04:29","end":"06:04","startHours":28.48417663436203,"endHours":30.060265626742176,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:04","end":"07:04","startHours":6.060265626742175,"endHours":7.060265626742175,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:04","end":"08:04","startHours":7.060265626742175,"endHours":8.060265626742176,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:04","end":"09:04","startHours":8.060265626742176,"endHours":9.060265626742176,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:04","end":"10:04","startHours":9.060265626742176,"endHours":10.060265626742176,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:04","end":"11:04","startHours":10.060265626742176,"endHours":11.060265626742176,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:04","end":"12:04","startHours":11.060265626742176,"endHours":12.060265626742176,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:04","end":"13:04","startHours":12.060265626742176,"endHours":13.060265626742176,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:04","end":"14:04","startHours":13.060265626742176,"endHours":14.060265626742176,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:04","end":"15:04","startHours":14.060265626742176,"endHours":15.060265626742176,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:04","end":"16:04","startHours":15.060265626742176,"endHours":16.060265626742176,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:04","end":"17:04","startHours":16.060265626742176,"endHours":17.060265626742176,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:04","end":"18:04","startHours":17.060265626742176,"endHours":18.060265626742176,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:04","end":"19:04","startHours":18.060265626742176,"endHours":19.060265626742176,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:04","end":"20:04","startHours":19.060265626742176,"endHours":20.060265626742176,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:04","end":"21:04","startHours":20.060265626742176,"endHours":21.060265626742176,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:04","end":"22:04","startHours":21.060265626742176,"endHours":22.060265626742176,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:04","end":"23:04","startHours":22.060265626742176,"endHours":23.060265626742176,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:04","end":"00:04","startHours":23.060265626742176,"endHours":24.060265626742176,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:04","end":"01:04","startHours":24.060265626742176,"endHours":25.060265626742176,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:04","end":"02:04","startHours":25.060265626742176,"endHours":26.060265626742176,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:04","end":"03:04","startHours":26.060265626742176,"endHours":27.060265626742176,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:04","end":"04:04","startHours":27.060265626742176,"endHours":28.060265626742176,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:04","end":"05:04","startHours":28.060265626742176,"endHours":29.060265626742176,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:04","end":"06:04","startHours":29.060265626742176,"endHours":30.060265626742176,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"East","anandadiYoga":{"name":"Śubha","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-10.780325891313353,"eotMinutes":15.829420566704727,"ayanamsa":24.4929}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"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 Ekādaśī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[{"id":"pashankusha-ekadashi","name":"Pāśāṅkuśā Ekādaśī","name_sanskrit":"पाशाङ्कुशा एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Padmanābha (Viṣṇu)","significance":"Confers strength + wealth + son; equivalent to 1000 Aśvamedha-yajñas.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":4},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5}],"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 October 21, 2045 CE · Ayodhyā · Vidhyamitra","description":"October 21, 2045 CE for Ayodhyā: Śukla Ekādaśī, sūryodaya 06:04, sūryāsta 17:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/2045-10-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/2045-10-21","sa":"https://sa.vidhyamitra.com/city/ayodhya/2045-10-21","hi":"https://hi.vidhyamitra.com/city/ayodhya/2045-10-21","x-default":"https://vidhyamitra.com/city/ayodhya/2045-10-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T17:33:08.531Z","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":"2026-05-31T17:33:08.531Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T17:33:08.531Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}