{"id":"vidhyamitra:city-day:ayodhya:2039-12-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/2039-12-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2039-12-20","date_display":"December 20, 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":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466142.770833,"kali_year":5141,"ahargana":1877677.2708,"sun":{"sidereal_longitude":243.1346,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":300.4245,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":57.2899,"elapsed_within_tithi_degrees":9.2899},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3,"moon_longitude":300.4245,"elapsed_within_degrees":7.0912},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":183.5592},"karana":{"half_tithi_index":9,"name":"Bālava"},"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":2039,"month":12,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466142.770833,"ahargana":1877677.2708,"kali_year":5141,"ayanamsa_lahiri":24.4113,"grahas":{"sun":{"sidereal_longitude":243.57796800000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"moon":{"sidereal_longitude":303.8574679999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false,"latitude":-4.195},"mars":{"sidereal_longitude":81.97886800000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":true},"mercury":{"sidereal_longitude":233.99156799999992,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":155.46006799999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":204.25816799999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":165.97416799999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":51.6222,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":231.6222,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"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":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466142.770833,"kali_year":5141,"ahargana":1877677.2708,"sun":{"sidereal_longitude":243.1346,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":300.4245,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":57.2899,"elapsed_within_tithi_degrees":9.2899},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3,"moon_longitude":300.4245,"elapsed_within_degrees":7.0912},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":183.5592},"karana":{"half_tithi_index":9,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.195,"elongation":57.29},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.195,"opposition_distance":122.71}},"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":"06:46","sunsetLocal":"17:13","solarNoonLocal":"11:59","dayLengthHours":10.453514927379793,"dayLengthDisplay":"10 Hours 27 Mins 13 Secs","nightLengthDisplay":"13 Hours 32 Mins 47 Secs","moonriseLocal":"10:23","moonsetLocal":"21:38","rahuKala":{"name":"Rāhu Kāla","start":"14:36","end":"15:55","startHours":14.602246773137137,"endHours":15.908936139059612,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:23","end":"10:41","startHours":9.375489309447241,"endHours":10.682178675369716,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:59","end":"13:18","startHours":11.98886804129219,"endHours":13.295557407214663,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:12","end":"09:33","startHours":9.201264060657579,"endHours":9.549714558236904,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:12","end":"07:29","startHours":7.197673699576451,"endHours":7.476434097639912,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:38","end":"12:20","startHours":11.640417543712863,"endHours":12.337318538871516,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:22","end":"06:04","startHours":5.368308587284988,"endHours":6.06520958244364,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:53","end":"06:46","startHours":5.890984333653977,"endHours":6.762110577602293,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:44","end":"14:26","startHours":13.731120529188821,"endHours":14.428021524347475,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:01","end":"17:25","startHours":17.015625504982086,"endHours":17.415625504982085,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:13","end":"17:39","startHours":17.215625504982086,"endHours":17.651188626956245,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:58","end":"18:43","startHours":16.965625504982086,"endHours":18.715625504982086,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:38","end":"00:20","startHours":23.640417543712864,"endHours":24.337318538871514,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:46","end":"08:04","startHours":6.762110577602293,"endHours":8.068799943524766,"quality":"inauspicious"},{"name":"Udveg","start":"08:04","end":"09:23","startHours":8.068799943524766,"endHours":9.375489309447241,"quality":"inauspicious"},{"name":"Chala","start":"09:23","end":"10:41","startHours":9.375489309447241,"endHours":10.682178675369716,"quality":"neutral"},{"name":"Labha","start":"10:41","end":"11:59","startHours":10.682178675369716,"endHours":11.98886804129219,"quality":"auspicious"},{"name":"Amṛta","start":"11:59","end":"13:18","startHours":11.98886804129219,"endHours":13.295557407214663,"quality":"auspicious"},{"name":"Kāla","start":"13:18","end":"14:36","startHours":13.295557407214663,"endHours":14.602246773137137,"quality":"inauspicious"},{"name":"Śubha","start":"14:36","end":"15:55","startHours":14.602246773137137,"endHours":15.908936139059612,"quality":"auspicious"},{"name":"Roga","start":"15:55","end":"17:13","startHours":15.908936139059612,"endHours":17.215625504982086,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:13","end":"18:55","startHours":17.215625504982086,"endHours":18.908936139059612,"quality":"inauspicious"},{"name":"Śubha","start":"18:55","end":"20:36","startHours":18.908936139059612,"endHours":20.60224677313714,"quality":"auspicious"},{"name":"Roga","start":"20:36","end":"22:18","startHours":20.60224677313714,"endHours":22.295557407214663,"quality":"inauspicious"},{"name":"Udveg","start":"22:18","end":"23:59","startHours":22.295557407214663,"endHours":23.98886804129219,"quality":"inauspicious"},{"name":"Chala","start":"23:59","end":"01:41","startHours":23.98886804129219,"endHours":25.682178675369716,"quality":"neutral"},{"name":"Labha","start":"01:41","end":"03:23","startHours":25.682178675369716,"endHours":27.37548930944724,"quality":"auspicious"},{"name":"Amṛta","start":"03:23","end":"05:04","startHours":27.37548930944724,"endHours":29.068799943524766,"quality":"auspicious"},{"name":"Kāla","start":"05:04","end":"06:46","startHours":29.068799943524766,"endHours":30.762110577602293,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:46","end":"07:46","startHours":6.762110577602293,"endHours":7.762110577602293,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:46","end":"08:46","startHours":7.762110577602293,"endHours":8.762110577602293,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:46","end":"09:46","startHours":8.762110577602293,"endHours":9.762110577602293,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:46","end":"10:46","startHours":9.762110577602293,"endHours":10.762110577602293,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:46","end":"11:46","startHours":10.762110577602293,"endHours":11.762110577602293,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:46","end":"12:46","startHours":11.762110577602293,"endHours":12.762110577602293,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:46","end":"13:46","startHours":12.762110577602293,"endHours":13.762110577602293,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:46","end":"14:46","startHours":13.762110577602293,"endHours":14.762110577602293,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:46","end":"15:46","startHours":14.762110577602293,"endHours":15.762110577602293,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:46","end":"16:46","startHours":15.762110577602293,"endHours":16.762110577602293,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:46","end":"17:46","startHours":16.762110577602293,"endHours":17.762110577602293,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:46","end":"18:46","startHours":17.762110577602293,"endHours":18.762110577602293,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:46","end":"19:46","startHours":18.762110577602293,"endHours":19.762110577602293,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:46","end":"20:46","startHours":19.762110577602293,"endHours":20.762110577602293,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:46","end":"21:46","startHours":20.762110577602293,"endHours":21.762110577602293,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:46","end":"22:46","startHours":21.762110577602293,"endHours":22.762110577602293,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:46","end":"23:46","startHours":22.762110577602293,"endHours":23.762110577602293,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:46","end":"00:46","startHours":23.762110577602293,"endHours":24.762110577602293,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:46","end":"01:46","startHours":24.762110577602293,"endHours":25.762110577602293,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:46","end":"02:46","startHours":25.762110577602293,"endHours":26.762110577602293,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:46","end":"03:46","startHours":26.762110577602293,"endHours":27.762110577602293,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:46","end":"04:46","startHours":27.762110577602293,"endHours":28.762110577602293,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:46","end":"05:46","startHours":28.762110577602293,"endHours":29.762110577602293,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:46","end":"06:46","startHours":29.762110577602293,"endHours":30.762110577602293,"planetary_lord":"Saturn"}],"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":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Dhūmra","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.421207786801496,"eotMinutes":1.851917522468745,"ayanamsa":24.4113}},"calendars":{"vikram_samvat":2096,"vikram_samvatsara":"Aṅgirasa","saka_samvat":1961,"saka_samvatsara":"Siddhārthī","bengali_samvat":1446,"malayalam_era":1215,"nanakshahi_year":570,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Pañcamī · Vikram 2096 Aṅgirasa · Śaka 1961 Siddhārthī"},"festivals":[],"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 December 20, 2039 CE · Ayodhyā · Vidhyamitra","description":"December 20, 2039 CE for Ayodhyā: Śukla Pañcamī, sūryodaya 06:46, sūryāsta 17:13.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/2039-12-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/2039-12-20","sa":"https://sa.vidhyamitra.com/city/ayodhya/2039-12-20","hi":"https://hi.vidhyamitra.com/city/ayodhya/2039-12-20","x-default":"https://vidhyamitra.com/city/ayodhya/2039-12-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T19:53:34.650Z","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":"2026-05-31T19:53:34.650Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T19:53:34.650Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}