{"id":"vidhyamitra:city-day:ayodhya:2045-10-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/2045-10-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-10-04","date_display":"October 4, 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":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468257.770833,"kali_year":5147,"ahargana":1879792.2708,"sun":{"sidereal_longitude":165.8827,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":81.8822,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":275.9995,"elapsed_within_tithi_degrees":11.9995},"nakshatra":{"number":7,"name":"Punarvasu","pada":1,"moon_longitude":81.8822,"elapsed_within_degrees":1.8822},"yoga":{"number":19,"name":"Parigha","sum_longitude":247.7648},"karana":{"half_tithi_index":45,"name":"Kaulava"},"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":2045,"month":10,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468257.770833,"ahargana":1879792.2708,"kali_year":5147,"ayanamsa_lahiri":24.4922,"grahas":{"sun":{"sidereal_longitude":166.73896000000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"moon":{"sidereal_longitude":80.19056,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false,"latitude":2.7487},"mars":{"sidereal_longitude":121.21515999999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":183.76405999999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":309.01896,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":212.04476,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":222.21206000000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":299.5593,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":119.5593,"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":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468257.770833,"kali_year":5147,"ahargana":1879792.2708,"sun":{"sidereal_longitude":165.8827,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":81.8822,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":275.9995,"elapsed_within_tithi_degrees":11.9995},"nakshatra":{"number":7,"name":"Punarvasu","pada":1,"moon_longitude":81.8822,"elapsed_within_degrees":1.8822},"yoga":{"number":19,"name":"Parigha","sum_longitude":247.7648},"karana":{"half_tithi_index":45,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.749,"elongation":84},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.749,"opposition_distance":96}},"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":"05:54","sunsetLocal":"17:44","solarNoonLocal":"11:49","dayLengthHours":11.82496272201133,"dayLengthDisplay":"11 Hours 49 Mins 30 Secs","nightLengthDisplay":"12 Hours 10 Mins 30 Secs","moonriseLocal":"23:11","moonsetLocal":"12:54","rahuKala":{"name":"Rāhu Kāla","start":"11:49","end":"13:18","startHours":11.818115613538499,"endHours":13.296235953789914,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:23","end":"08:52","startHours":7.383754592784249,"endHours":8.861874933035665,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:20","end":"11:49","startHours":10.339995273287082,"endHours":11.818115613538499,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:40","end":"09:04","startHours":8.664792221002143,"endHours":9.058957645069189,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:24","end":"06:43","startHours":6.398341032616639,"endHours":6.713673371870274,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:25","end":"12:13","startHours":11.423950189471453,"endHours":12.21228103760554,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:20","end":"05:07","startHours":4.328972556264656,"endHours":5.117303404398744,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:55","end":"05:54","startHours":4.920220692365222,"endHours":5.905634252532833,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:47","end":"14:35","startHours":13.78894273387372,"endHours":14.577273582007809,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:32","end":"17:56","startHours":17.530596974544164,"endHours":17.930596974544162,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:44","end":"18:13","startHours":17.730596974544163,"endHours":18.223303754627967,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:29","end":"19:14","startHours":17.480596974544163,"endHours":19.230596974544163,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:25","end":"00:13","startHours":23.42395018947145,"endHours":24.21228103760554,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:54","end":"07:23","startHours":5.905634252532833,"endHours":7.383754592784249,"quality":"auspicious"},{"name":"Amṛta","start":"07:23","end":"08:52","startHours":7.383754592784249,"endHours":8.861874933035665,"quality":"auspicious"},{"name":"Kāla","start":"08:52","end":"10:20","startHours":8.861874933035665,"endHours":10.339995273287082,"quality":"inauspicious"},{"name":"Śubha","start":"10:20","end":"11:49","startHours":10.339995273287082,"endHours":11.818115613538499,"quality":"auspicious"},{"name":"Roga","start":"11:49","end":"13:18","startHours":11.818115613538499,"endHours":13.296235953789914,"quality":"inauspicious"},{"name":"Udveg","start":"13:18","end":"14:46","startHours":13.296235953789914,"endHours":14.77435629404133,"quality":"inauspicious"},{"name":"Chala","start":"14:46","end":"16:15","startHours":14.77435629404133,"endHours":16.252476634292748,"quality":"neutral"},{"name":"Labha","start":"16:15","end":"17:44","startHours":16.252476634292748,"endHours":17.730596974544163,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:44","end":"19:15","startHours":17.730596974544163,"endHours":19.252476634292748,"quality":"inauspicious"},{"name":"Chala","start":"19:15","end":"20:46","startHours":19.252476634292748,"endHours":20.77435629404133,"quality":"neutral"},{"name":"Labha","start":"20:46","end":"22:18","startHours":20.77435629404133,"endHours":22.296235953789914,"quality":"auspicious"},{"name":"Amṛta","start":"22:18","end":"23:49","startHours":22.296235953789914,"endHours":23.8181156135385,"quality":"auspicious"},{"name":"Kāla","start":"23:49","end":"01:20","startHours":23.8181156135385,"endHours":25.33999527328708,"quality":"inauspicious"},{"name":"Śubha","start":"01:20","end":"02:52","startHours":25.33999527328708,"endHours":26.861874933035665,"quality":"auspicious"},{"name":"Roga","start":"02:52","end":"04:23","startHours":26.861874933035665,"endHours":28.38375459278425,"quality":"inauspicious"},{"name":"Udveg","start":"04:23","end":"05:54","startHours":28.38375459278425,"endHours":29.905634252532835,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:54","end":"06:54","startHours":5.905634252532833,"endHours":6.905634252532833,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:54","end":"07:54","startHours":6.905634252532833,"endHours":7.905634252532833,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:54","end":"08:54","startHours":7.905634252532833,"endHours":8.905634252532833,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:54","end":"09:54","startHours":8.905634252532833,"endHours":9.905634252532833,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:54","end":"10:54","startHours":9.905634252532833,"endHours":10.905634252532833,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:54","end":"11:54","startHours":10.905634252532833,"endHours":11.905634252532833,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:54","end":"12:54","startHours":11.905634252532833,"endHours":12.905634252532833,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:54","end":"13:54","startHours":12.905634252532833,"endHours":13.905634252532833,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:54","end":"14:54","startHours":13.905634252532833,"endHours":14.905634252532833,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:54","end":"15:54","startHours":14.905634252532833,"endHours":15.905634252532833,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:54","end":"16:54","startHours":15.905634252532833,"endHours":16.905634252532835,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:54","end":"17:54","startHours":16.905634252532835,"endHours":17.905634252532835,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:54","end":"18:54","startHours":17.905634252532835,"endHours":18.905634252532835,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:54","end":"19:54","startHours":18.905634252532835,"endHours":19.905634252532835,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:54","end":"20:54","startHours":19.905634252532835,"endHours":20.905634252532835,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:54","end":"21:54","startHours":20.905634252532835,"endHours":21.905634252532835,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:54","end":"22:54","startHours":21.905634252532835,"endHours":22.905634252532835,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:54","end":"23:54","startHours":22.905634252532835,"endHours":23.905634252532835,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:54","end":"00:54","startHours":23.905634252532835,"endHours":24.905634252532835,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:54","end":"01:54","startHours":24.905634252532835,"endHours":25.905634252532835,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:54","end":"02:54","startHours":25.905634252532835,"endHours":26.905634252532835,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:54","end":"03:54","startHours":26.905634252532835,"endHours":27.905634252532835,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:54","end":"04:54","startHours":27.905634252532835,"endHours":28.905634252532835,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:54","end":"05:54","startHours":28.905634252532835,"endHours":29.905634252532835,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Siddhi","quality":"Auspicious"},"drikRitu":"Śarad (Autumn) (Drik)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-4.442896219686694,"eotMinutes":12.09706318769023,"ayanamsa":24.4922}},"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 Kṛṣṇa Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Aṣṭamī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[{"id":"kanya-sankranti","name":"Kanyā Saṅkrānti (Mahālaya begins)","name_sanskrit":"कन्या सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Virgo; Mahālaya / Pitṛ-Pakṣa solar marker.","vrata":false,"detection":{"sun_rashi":"Kanyā"},"precedence":4}],"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":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Kṛṣṇa Aṣṭamī","url":"/day/-3226-07-09","relevance":0.5},{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Punarvasu","url":"/day/-1626101-04-03","relevance":0.5}]},"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 4, 2045 CE · Ayodhyā · Vidhyamitra","description":"October 4, 2045 CE for Ayodhyā: Kṛṣṇa Aṣṭamī, sūryodaya 05:54, sūryāsta 17:44.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/2045-10-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/2045-10-04","sa":"https://sa.vidhyamitra.com/city/ayodhya/2045-10-04","hi":"https://hi.vidhyamitra.com/city/ayodhya/2045-10-04","x-default":"https://vidhyamitra.com/city/ayodhya/2045-10-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-16T03:08:32.142Z","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":"2026-05-16T03:08:32.142Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-16T03:08:32.142Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}