{"id":"vidhyamitra:city-day:ayodhya:2051-10-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/2051-10-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2051-10-15","date_display":"October 15, 2051 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":2051,"month":10,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470459.770833,"kali_year":5153,"ahargana":1881994.2708,"sun":{"sidereal_longitude":176.2098,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":294.2714,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":118.0616,"elapsed_within_tithi_degrees":10.0616},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1,"moon_longitude":294.2714,"elapsed_within_degrees":0.938},"yoga":{"number":9,"name":"Śūla","sum_longitude":110.4812},"karana":{"half_tithi_index":19,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2051,"month":10,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2470459.770833,"ahargana":1881994.2708,"kali_year":5153,"ayanamsa_lahiri":24.5764,"grahas":{"sun":{"sidereal_longitude":177.070827,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":291.941727,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false,"latitude":4.1896},"mars":{"sidereal_longitude":164.710827,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":193.34382700000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":148.65022699999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":195.237927,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":288.7152269999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":182.8867,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":2.8867,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","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":2051,"month":10,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470459.770833,"kali_year":5153,"ahargana":1881994.2708,"sun":{"sidereal_longitude":176.2098,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":294.2714,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":118.0616,"elapsed_within_tithi_degrees":10.0616},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1,"moon_longitude":294.2714,"elapsed_within_degrees":0.938},"yoga":{"number":9,"name":"Śūla","sum_longitude":110.4812},"karana":{"half_tithi_index":19,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.19,"elongation":118.062},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.19,"opposition_distance":61.938}},"eclipse_window_40days":[{"offset_days":5,"type":"lunar","occurs":true,"moon_latitude":-0.109,"opposition_distance":2.829}]},"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":"06:00","sunsetLocal":"17:33","solarNoonLocal":"11:46","dayLengthHours":11.553178472541683,"dayLengthDisplay":"11 Hours 33 Mins 11 Secs","nightLengthDisplay":"12 Hours 26 Mins 49 Secs","moonriseLocal":"13:56","moonsetLocal":"00:55","rahuKala":{"name":"Rāhu Kāla","start":"16:06","end":"17:33","startHours":16.104561421014665,"endHours":17.548708730082375,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:46","end":"13:13","startHours":11.772119493811534,"endHours":13.216266802879243,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:40","end":"16:06","startHours":14.660414111946954,"endHours":16.104561421014665,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:41","end":"09:05","startHours":8.691271901133751,"endHours":9.076377850218474,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:29","end":"06:47","startHours":6.476912693896595,"endHours":6.784997453164373,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:23","end":"12:09","startHours":11.38701354472681,"endHours":12.157225442896257,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:27","end":"05:14","startHours":4.4551064612018,"endHours":5.225318359371246,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:02","end":"06:00","startHours":5.032765384828885,"endHours":5.9955302575406915,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:42","end":"14:28","startHours":13.697649239235147,"endHours":14.467861137404594,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:21","end":"17:45","startHours":17.348708730082375,"endHours":17.748708730082374,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:33","end":"18:02","startHours":17.548708730082375,"endHours":18.03009116643828,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:18","end":"19:03","startHours":17.298708730082375,"endHours":19.048708730082375,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:23","end":"00:09","startHours":23.387013544726813,"endHours":24.157225442896255,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:00","end":"07:26","startHours":5.9955302575406915,"endHours":7.439677566608402,"quality":"inauspicious"},{"name":"Chala","start":"07:26","end":"08:53","startHours":7.439677566608402,"endHours":8.883824875676112,"quality":"neutral"},{"name":"Labha","start":"08:53","end":"10:20","startHours":8.883824875676112,"endHours":10.327972184743823,"quality":"auspicious"},{"name":"Amṛta","start":"10:20","end":"11:46","startHours":10.327972184743823,"endHours":11.772119493811534,"quality":"auspicious"},{"name":"Kāla","start":"11:46","end":"13:13","startHours":11.772119493811534,"endHours":13.216266802879243,"quality":"inauspicious"},{"name":"Śubha","start":"13:13","end":"14:40","startHours":13.216266802879243,"endHours":14.660414111946954,"quality":"auspicious"},{"name":"Roga","start":"14:40","end":"16:06","startHours":14.660414111946954,"endHours":16.104561421014665,"quality":"inauspicious"},{"name":"Udveg","start":"16:06","end":"17:33","startHours":16.104561421014665,"endHours":17.548708730082375,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:33","end":"19:06","startHours":17.548708730082375,"endHours":19.104561421014665,"quality":"auspicious"},{"name":"Roga","start":"19:06","end":"20:40","startHours":19.104561421014665,"endHours":20.660414111946952,"quality":"inauspicious"},{"name":"Udveg","start":"20:40","end":"22:13","startHours":20.660414111946952,"endHours":22.216266802879243,"quality":"inauspicious"},{"name":"Chala","start":"22:13","end":"23:46","startHours":22.216266802879243,"endHours":23.772119493811534,"quality":"neutral"},{"name":"Labha","start":"23:46","end":"01:20","startHours":23.772119493811534,"endHours":25.32797218474382,"quality":"auspicious"},{"name":"Amṛta","start":"01:20","end":"02:53","startHours":25.32797218474382,"endHours":26.883824875676112,"quality":"auspicious"},{"name":"Kāla","start":"02:53","end":"04:26","startHours":26.883824875676112,"endHours":28.439677566608403,"quality":"inauspicious"},{"name":"Śubha","start":"04:26","end":"06:00","startHours":28.439677566608403,"endHours":29.995530257540693,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:00","end":"07:00","startHours":5.9955302575406915,"endHours":6.9955302575406915,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:00","end":"08:00","startHours":6.9955302575406915,"endHours":7.9955302575406915,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:00","end":"09:00","startHours":7.9955302575406915,"endHours":8.995530257540691,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:00","end":"10:00","startHours":8.995530257540691,"endHours":9.995530257540691,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:00","end":"11:00","startHours":9.995530257540691,"endHours":10.995530257540691,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:00","end":"12:00","startHours":10.995530257540691,"endHours":11.995530257540691,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:00","end":"13:00","startHours":11.995530257540691,"endHours":12.995530257540691,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:00","end":"14:00","startHours":12.995530257540691,"endHours":13.995530257540691,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:00","end":"15:00","startHours":13.995530257540691,"endHours":14.995530257540691,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:00","end":"16:00","startHours":14.995530257540691,"endHours":15.995530257540691,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:00","end":"17:00","startHours":15.995530257540691,"endHours":16.995530257540693,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:00","end":"18:00","startHours":16.995530257540693,"endHours":17.995530257540693,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:00","end":"19:00","startHours":17.995530257540693,"endHours":18.995530257540693,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:00","end":"20:00","startHours":18.995530257540693,"endHours":19.995530257540693,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:00","end":"21:00","startHours":19.995530257540693,"endHours":20.995530257540693,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:00","end":"22:00","startHours":20.995530257540693,"endHours":21.995530257540693,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:00","end":"23:00","startHours":21.995530257540693,"endHours":22.995530257540693,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:00","end":"00:00","startHours":22.995530257540693,"endHours":23.995530257540693,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:00","end":"01:00","startHours":23.995530257540693,"endHours":24.995530257540693,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:00","end":"02:00","startHours":24.995530257540693,"endHours":25.995530257540693,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:00","end":"03:00","startHours":25.995530257540693,"endHours":26.995530257540693,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:00","end":"04:00","startHours":26.995530257540693,"endHours":27.995530257540693,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:00","end":"05:00","startHours":27.995530257540693,"endHours":28.995530257540693,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:00","end":"06:00","startHours":28.995530257540693,"endHours":29.995530257540693,"planetary_lord":"Jupiter"}],"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":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Gada","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-8.436884619252677,"eotMinutes":14.85683037130801,"ayanamsa":24.5764}},"calendars":{"vikram_samvat":2108,"vikram_samvatsara":"Tāraṇa","saka_samvat":1973,"saka_samvatsara":"Prajāpati","bengali_samvat":1458,"malayalam_era":1227,"nanakshahi_year":582,"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":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Daśamī · Vikram 2108 Tāraṇa · Śaka 1973 Prajāpati"},"festivals":[{"id":"vijaya-dashami","name":"Vijaya Daśamī (Dasarā / Daśaharā)","name_sanskrit":"विजय दशमी","tradition":"Pan-Hindu","associated_deity":"Rāma (Rāvaṇa-vadha) + Durgā (Mahiṣāsura-vadha)","significance":"Rāma's victory over Rāvaṇa; Durgā's victory; ārambha-divasa for śilpa-kalā.","vrata":true,"primary_observance":"Rāvaṇa-dahana; Aparājitā-pūjā; Śastra-pūjā","detection":{"tithi_number":10,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":1,"related_chart":"rama","sources":["Vālmīki Rāmāyaṇa, Yuddha-Kāṇḍa","Devī Mahātmya"]}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 15, 2051 CE · Ayodhyā · Vidhyamitra","description":"October 15, 2051 CE for Ayodhyā: Śukla Daśamī, sūryodaya 06:00, sūryāsta 17:33.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/2051-10-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/2051-10-15","sa":"https://sa.vidhyamitra.com/city/ayodhya/2051-10-15","hi":"https://hi.vidhyamitra.com/city/ayodhya/2051-10-15","x-default":"https://vidhyamitra.com/city/ayodhya/2051-10-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T01:20:47.547Z","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":"2026-06-03T01:20:47.547Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T01:20:47.547Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}