{"id":"vidhyamitra:city-day:ayodhya:2051-10-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/2051-10-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2051-10-31","date_display":"October 31, 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":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470475.770833,"kali_year":5153,"ahargana":1882010.2708,"sun":{"sidereal_longitude":192.174,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":151.7479,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":319.5739,"elapsed_within_tithi_degrees":7.5739},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2,"moon_longitude":151.7479,"elapsed_within_degrees":5.0813},"yoga":{"number":26,"name":"Indra","sum_longitude":343.9219},"karana":{"half_tithi_index":53,"name":"Taitila"},"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":2051,"month":10,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2470475.770833,"ahargana":1882010.2708,"kali_year":5153,"ayanamsa_lahiri":24.577,"grahas":{"sun":{"sidereal_longitude":192.98971600000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":154.34331599999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false,"latitude":-2.268},"mars":{"sidereal_longitude":175.151116,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":215.20831599999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":151.79521599999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":215.085916,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":288.85021600000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":182.039,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":2.039,"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":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470475.770833,"kali_year":5153,"ahargana":1882010.2708,"sun":{"sidereal_longitude":192.174,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":151.7479,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":319.5739,"elapsed_within_tithi_degrees":7.5739},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2,"moon_longitude":151.7479,"elapsed_within_degrees":5.0813},"yoga":{"number":26,"name":"Indra","sum_longitude":343.9219},"karana":{"half_tithi_index":53,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.268,"elongation":40.426},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.268,"opposition_distance":139.574}},"eclipse_window_40days":[{"offset_days":-11,"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":"06:10","sunsetLocal":"17:20","solarNoonLocal":"11:45","dayLengthHours":11.162064991129858,"dayLengthDisplay":"11 Hours 09 Mins 43 Secs","nightLengthDisplay":"12 Hours 50 Mins 17 Secs","moonriseLocal":"03:07","moonsetLocal":"15:14","rahuKala":{"name":"Rāhu Kāla","start":"14:32","end":"15:56","startHours":14.536036588606995,"endHours":15.931294712498229,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:57","end":"10:21","startHours":8.955004093042067,"endHours":10.350262216933299,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:45","end":"13:08","startHours":11.74552034082453,"endHours":13.140778464715764,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:46","end":"09:08","startHours":8.768969676523236,"endHours":9.141038509560897,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:38","end":"06:56","startHours":6.629573886556679,"endHours":6.927228952986809,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:22","end":"12:07","startHours":11.373451507786868,"endHours":12.117589173862193,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:41","end":"05:25","startHours":4.676212513108954,"endHours":5.420350179184278,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:14","end":"06:10","startHours":5.234315762665448,"endHours":6.164487845259602,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:36","end":"14:21","startHours":13.605864506012841,"endHours":14.350002172088164,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:08","end":"17:32","startHours":17.12655283638946,"endHours":17.52655283638946,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:20","end":"17:47","startHours":17.32655283638946,"endHours":17.791638877686538,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:05","end":"18:50","startHours":17.07655283638946,"endHours":18.82655283638946,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:22","end":"00:07","startHours":23.373451507786868,"endHours":24.117589173862193,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:10","end":"07:34","startHours":6.164487845259602,"endHours":7.559745969150835,"quality":"inauspicious"},{"name":"Udveg","start":"07:34","end":"08:57","startHours":7.559745969150835,"endHours":8.955004093042067,"quality":"inauspicious"},{"name":"Chala","start":"08:57","end":"10:21","startHours":8.955004093042067,"endHours":10.350262216933299,"quality":"neutral"},{"name":"Labha","start":"10:21","end":"11:45","startHours":10.350262216933299,"endHours":11.74552034082453,"quality":"auspicious"},{"name":"Amṛta","start":"11:45","end":"13:08","startHours":11.74552034082453,"endHours":13.140778464715764,"quality":"auspicious"},{"name":"Kāla","start":"13:08","end":"14:32","startHours":13.140778464715764,"endHours":14.536036588606995,"quality":"inauspicious"},{"name":"Śubha","start":"14:32","end":"15:56","startHours":14.536036588606995,"endHours":15.931294712498229,"quality":"auspicious"},{"name":"Roga","start":"15:56","end":"17:20","startHours":15.931294712498229,"endHours":17.32655283638946,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:20","end":"18:56","startHours":17.32655283638946,"endHours":18.93129471249823,"quality":"inauspicious"},{"name":"Śubha","start":"18:56","end":"20:32","startHours":18.93129471249823,"endHours":20.536036588606997,"quality":"auspicious"},{"name":"Roga","start":"20:32","end":"22:08","startHours":20.536036588606997,"endHours":22.140778464715765,"quality":"inauspicious"},{"name":"Udveg","start":"22:08","end":"23:45","startHours":22.140778464715765,"endHours":23.74552034082453,"quality":"inauspicious"},{"name":"Chala","start":"23:45","end":"01:21","startHours":23.74552034082453,"endHours":25.3502622169333,"quality":"neutral"},{"name":"Labha","start":"01:21","end":"02:57","startHours":25.3502622169333,"endHours":26.955004093042067,"quality":"auspicious"},{"name":"Amṛta","start":"02:57","end":"04:34","startHours":26.955004093042067,"endHours":28.559745969150832,"quality":"auspicious"},{"name":"Kāla","start":"04:34","end":"06:10","startHours":28.559745969150832,"endHours":30.1644878452596,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:10","end":"07:10","startHours":6.164487845259602,"endHours":7.164487845259602,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:10","end":"08:10","startHours":7.164487845259602,"endHours":8.164487845259602,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:10","end":"09:10","startHours":8.164487845259602,"endHours":9.164487845259602,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:10","end":"10:10","startHours":9.164487845259602,"endHours":10.164487845259602,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:10","end":"11:10","startHours":10.164487845259602,"endHours":11.164487845259602,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:10","end":"12:10","startHours":11.164487845259602,"endHours":12.164487845259602,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:10","end":"13:10","startHours":12.164487845259602,"endHours":13.164487845259602,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:10","end":"14:10","startHours":13.164487845259602,"endHours":14.164487845259602,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:10","end":"15:10","startHours":14.164487845259602,"endHours":15.164487845259602,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:10","end":"16:10","startHours":15.164487845259602,"endHours":16.1644878452596,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:10","end":"17:10","startHours":16.1644878452596,"endHours":17.1644878452596,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:10","end":"18:10","startHours":17.1644878452596,"endHours":18.1644878452596,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:10","end":"19:10","startHours":18.1644878452596,"endHours":19.1644878452596,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:10","end":"20:10","startHours":19.1644878452596,"endHours":20.1644878452596,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:10","end":"21:10","startHours":20.1644878452596,"endHours":21.1644878452596,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:10","end":"22:10","startHours":21.1644878452596,"endHours":22.1644878452596,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:10","end":"23:10","startHours":22.1644878452596,"endHours":23.1644878452596,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:10","end":"00:10","startHours":23.1644878452596,"endHours":24.1644878452596,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:10","end":"01:10","startHours":24.1644878452596,"endHours":25.1644878452596,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:10","end":"02:10","startHours":25.1644878452596,"endHours":26.1644878452596,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:10","end":"03:10","startHours":26.1644878452596,"endHours":27.1644878452596,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:10","end":"04:10","startHours":27.1644878452596,"endHours":28.1644878452596,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:10","end":"05:10","startHours":28.1644878452596,"endHours":29.1644878452596,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:10","end":"06:10","startHours":29.1644878452596,"endHours":30.1644878452596,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"North-West","rahuVasa":"North","anandadiYoga":{"name":"Śubha","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-14.033633900348788,"eotMinutes":16.45277955052819,"ayanamsa":24.577}},"calendars":{"vikram_samvat":2108,"vikram_samvatsara":"Tāraṇa","saka_samvat":1973,"saka_samvatsara":"Prajāpati","bengali_samvat":1458,"malayalam_era":1227,"nanakshahi_year":582,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","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":"Kārtika Kṛṣṇa Dvādaśī · Vikram 2108 Tāraṇa · Śaka 1973 Prajāpati"},"festivals":[{"id":"govatsa-dwadashi","name":"Govatsa Dvādaśī (Vaccha Bāras)","name_sanskrit":"गोवत्स द्वादशी","tradition":"Vaishnava","associated_deity":"Krishna + Gomātā","significance":"Worship of cow + calf; pre-Diwali day.","vrata":true,"detection":{"tithi_number":27,"tithi_paksha":"Kṛṣṇa","lunar_month":"Kārtika"},"precedence":4}],"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 October 31, 2051 CE · Ayodhyā · Vidhyamitra","description":"October 31, 2051 CE for Ayodhyā: Kṛṣṇa Dvādaśī, sūryodaya 06:10, sūryāsta 17:20.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/2051-10-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/2051-10-31","sa":"https://sa.vidhyamitra.com/city/ayodhya/2051-10-31","hi":"https://hi.vidhyamitra.com/city/ayodhya/2051-10-31","x-default":"https://vidhyamitra.com/city/ayodhya/2051-10-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T16:45:27.238Z","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":"2026-06-02T16:45:27.238Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T16:45:27.238Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}