{"id":"vidhyamitra:city-day:ayodhya:2039-10-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/2039-10-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2039-10-31","date_display":"October 31, 2039 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":2039,"month":10,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466092.770833,"kali_year":5141,"ahargana":1877627.2708,"sun":{"sidereal_longitude":192.2794,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":2.9985,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":170.7191,"elapsed_within_tithi_degrees":2.7191},"nakshatra":{"number":1,"name":"Aśvinī","pada":1,"moon_longitude":2.9985,"elapsed_within_degrees":2.9985},"yoga":{"number":15,"name":"Vajra","sum_longitude":195.2779},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2039,"month":10,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466092.770833,"ahargana":1877627.2708,"kali_year":5141,"ayanamsa_lahiri":24.4094,"grahas":{"sun":{"sidereal_longitude":193.06607899999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":2.8806789999999864,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false,"latitude":-3.5092},"mars":{"sidereal_longitude":83.19737900000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":207.76987899999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":148.45367899999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":146.57277899999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":161.58727899999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":54.2714,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":234.2714,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":2039,"month":10,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466092.770833,"kali_year":5141,"ahargana":1877627.2708,"sun":{"sidereal_longitude":192.2794,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":2.9985,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":170.7191,"elapsed_within_tithi_degrees":2.7191},"nakshatra":{"number":1,"name":"Aśvinī","pada":1,"moon_longitude":2.9985,"elapsed_within_degrees":2.9985},"yoga":{"number":15,"name":"Vajra","sum_longitude":195.2779},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.509,"elongation":170.719},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.509,"opposition_distance":9.281}},"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":"06:10","sunsetLocal":"17:20","solarNoonLocal":"11:45","dayLengthHours":11.164183519240936,"dayLengthDisplay":"11 Hours 09 Mins 51 Secs","nightLengthDisplay":"12 Hours 50 Mins 09 Secs","moonriseLocal":"16:40","moonsetLocal":"05:28","rahuKala":{"name":"Rāhu Kāla","start":"07:34","end":"08:57","startHours":7.5589515211091785,"endHours":8.954474461014296,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:21","end":"11:45","startHours":10.349997400919413,"endHours":11.74552034082453,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:08","end":"14:32","startHours":13.141043280729647,"endHours":14.536566220634764,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:46","end":"09:08","startHours":8.768404735693613,"endHours":9.140544186334978,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:38","end":"06:56","startHours":6.628602894505767,"endHours":6.926314455018859,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:22","end":"12:07","startHours":11.373380890183165,"endHours":12.117659791465895,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:40","end":"05:25","startHours":4.674870778638603,"endHours":5.419149679921333,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:14","end":"06:10","startHours":5.23307995460065,"endHours":6.1634285812040615,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:36","end":"14:21","startHours":13.606217594031353,"endHours":14.350496495314083,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:08","end":"17:32","startHours":17.127612100445,"endHours":17.527612100444998,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:20","end":"17:48","startHours":17.327612100445,"endHours":17.792786413746704,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:05","end":"18:50","startHours":17.077612100445,"endHours":18.827612100445,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:22","end":"00:07","startHours":23.373380890183167,"endHours":24.117659791465893,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:10","end":"07:34","startHours":6.1634285812040615,"endHours":7.5589515211091785,"quality":"auspicious"},{"name":"Kāla","start":"07:34","end":"08:57","startHours":7.5589515211091785,"endHours":8.954474461014296,"quality":"inauspicious"},{"name":"Śubha","start":"08:57","end":"10:21","startHours":8.954474461014296,"endHours":10.349997400919413,"quality":"auspicious"},{"name":"Roga","start":"10:21","end":"11:45","startHours":10.349997400919413,"endHours":11.74552034082453,"quality":"inauspicious"},{"name":"Udveg","start":"11:45","end":"13:08","startHours":11.74552034082453,"endHours":13.141043280729647,"quality":"inauspicious"},{"name":"Chala","start":"13:08","end":"14:32","startHours":13.141043280729647,"endHours":14.536566220634764,"quality":"neutral"},{"name":"Labha","start":"14:32","end":"15:56","startHours":14.536566220634764,"endHours":15.932089160539881,"quality":"auspicious"},{"name":"Amṛta","start":"15:56","end":"17:20","startHours":15.932089160539881,"endHours":17.327612100445,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:20","end":"18:56","startHours":17.327612100445,"endHours":18.93208916053988,"quality":"neutral"},{"name":"Labha","start":"18:56","end":"20:32","startHours":18.93208916053988,"endHours":20.536566220634764,"quality":"auspicious"},{"name":"Amṛta","start":"20:32","end":"22:08","startHours":20.536566220634764,"endHours":22.141043280729647,"quality":"auspicious"},{"name":"Kāla","start":"22:08","end":"23:45","startHours":22.141043280729647,"endHours":23.74552034082453,"quality":"inauspicious"},{"name":"Śubha","start":"23:45","end":"01:21","startHours":23.74552034082453,"endHours":25.349997400919413,"quality":"auspicious"},{"name":"Roga","start":"01:21","end":"02:57","startHours":25.349997400919413,"endHours":26.954474461014296,"quality":"inauspicious"},{"name":"Udveg","start":"02:57","end":"04:34","startHours":26.954474461014296,"endHours":28.55895152110918,"quality":"inauspicious"},{"name":"Chala","start":"04:34","end":"06:10","startHours":28.55895152110918,"endHours":30.163428581204062,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:10","end":"07:10","startHours":6.1634285812040615,"endHours":7.1634285812040615,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:10","end":"08:10","startHours":7.1634285812040615,"endHours":8.163428581204062,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:10","end":"09:10","startHours":8.163428581204062,"endHours":9.163428581204062,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:10","end":"10:10","startHours":9.163428581204062,"endHours":10.163428581204062,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:10","end":"11:10","startHours":10.163428581204062,"endHours":11.163428581204062,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:10","end":"12:10","startHours":11.163428581204062,"endHours":12.163428581204062,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:10","end":"13:10","startHours":12.163428581204062,"endHours":13.163428581204062,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:10","end":"14:10","startHours":13.163428581204062,"endHours":14.163428581204062,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:10","end":"15:10","startHours":14.163428581204062,"endHours":15.163428581204062,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:10","end":"16:10","startHours":15.163428581204062,"endHours":16.163428581204062,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:10","end":"17:10","startHours":16.163428581204062,"endHours":17.163428581204062,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:10","end":"18:10","startHours":17.163428581204062,"endHours":18.163428581204062,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:10","end":"19:10","startHours":18.163428581204062,"endHours":19.163428581204062,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:10","end":"20:10","startHours":19.163428581204062,"endHours":20.163428581204062,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:10","end":"21:10","startHours":20.163428581204062,"endHours":21.163428581204062,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:10","end":"22:10","startHours":21.163428581204062,"endHours":22.163428581204062,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:10","end":"23:10","startHours":22.163428581204062,"endHours":23.163428581204062,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:10","end":"00:10","startHours":23.163428581204062,"endHours":24.163428581204062,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:10","end":"01:10","startHours":24.163428581204062,"endHours":25.163428581204062,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:10","end":"02:10","startHours":25.163428581204062,"endHours":26.163428581204062,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:10","end":"03:10","startHours":26.163428581204062,"endHours":27.163428581204062,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:10","end":"04:10","startHours":27.163428581204062,"endHours":28.163428581204062,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:10","end":"05:10","startHours":28.163428581204062,"endHours":29.163428581204062,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:10","end":"06:10","startHours":29.163428581204062,"endHours":30.163428581204062,"planetary_lord":"Venus"}],"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Saumya","quality":"Auspicious"},"drikRitu":"Śarad (Autumn) (Drik)","vedicRitu":"Śarad (Autumn)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-14.003969379898876,"eotMinutes":16.45277955052819,"ayanamsa":24.4094}},"calendars":{"vikram_samvat":2096,"vikram_samvatsara":"Aṅgirasa","saka_samvat":1961,"saka_samvatsara":"Siddhārthī","bengali_samvat":1446,"malayalam_era":1215,"nanakshahi_year":570,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Śukla Pakṣa","solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Śukla Pūrṇimā · Vikram 2096 Aṅgirasa · Śaka 1961 Siddhārthī"},"festivals":[{"id":"kartik-purnima","name":"Kārtika Pūrṇimā / Tripurī Pūrṇimā","name_sanskrit":"कार्तिक पूर्णिमा","tradition":"Pan-Hindu","significance":"Day Mahābhārata war began (4 Oct 3138 BCE). Śiva destroyed Tripurāsura.","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Kārtika"},"precedence":2,"historical_anchor":{"event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","date_julian":"-3137-10-04","location":"Kurukṣetra"}},{"id":"tula-sankranti","name":"Tulā Saṅkrānti","name_sanskrit":"तुला सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Libra.","vrata":false,"detection":{"sun_rashi":"Tulā"},"precedence":5}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Śukla Pūrṇimā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3101-02-18","event":"Kali Yuga Epoch","chart_id":"kali-yuga-epoch","shared_marker":"same Aśvinī","url":"/day/-3101-02-18","relevance":0.5},{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Śukla Pūrṇimā","url":"/day/-0562-04-11","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 31, 2039 CE · Ayodhyā · Vidhyamitra","description":"October 31, 2039 CE for Ayodhyā: Śukla Pūrṇimā, sūryodaya 06:10, sūryāsta 17:20.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/2039-10-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/2039-10-31","sa":"https://sa.vidhyamitra.com/city/ayodhya/2039-10-31","hi":"https://hi.vidhyamitra.com/city/ayodhya/2039-10-31","x-default":"https://vidhyamitra.com/city/ayodhya/2039-10-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T20:29:52.196Z","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":"2026-05-15T20:29:52.196Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T20:29:52.196Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}