{"id":"vidhyamitra:city-day:ayodhya:2087-01-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/2087-01-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2087-01-16","date_display":"January 16, 2087 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":2087,"month":1,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483336.770833,"kali_year":5188,"ahargana":1894871.2708,"sun":{"sidereal_longitude":270.7166,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":55.556,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":144.8394,"elapsed_within_tithi_degrees":0.8394},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":55.556,"elapsed_within_degrees":2.2227},"yoga":{"number":25,"name":"Brahma","sum_longitude":326.2726},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2087,"month":1,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2483336.770833,"ahargana":1894871.2708,"kali_year":5188,"ayanamsa_lahiri":25.0689,"grahas":{"sun":{"sidereal_longitude":271.03293099999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":54.538230999999996,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false,"latitude":-1.1601},"mars":{"sidereal_longitude":62.853431,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":287.561231,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":142.66963099999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":true},"venus":{"sidereal_longitude":295.138231,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":358.105331,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":220.6013,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":40.6013,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","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":2087,"month":1,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483336.770833,"kali_year":5188,"ahargana":1894871.2708,"sun":{"sidereal_longitude":270.7166,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":55.556,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":144.8394,"elapsed_within_tithi_degrees":0.8394},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":55.556,"elapsed_within_degrees":2.2227},"yoga":{"number":25,"name":"Brahma","sum_longitude":326.2726},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.16,"elongation":144.839},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.16,"opposition_distance":35.161}},"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":"06:51","sunsetLocal":"17:30","solarNoonLocal":"12:11","dayLengthHours":10.650638756252668,"dayLengthDisplay":"10 Hours 39 Mins 02 Secs","nightLengthDisplay":"13 Hours 20 Mins 58 Secs","moonriseLocal":"14:52","moonsetLocal":"04:37","rahuKala":{"name":"Rāhu Kāla","start":"13:31","end":"14:51","startHours":13.512611536894546,"endHours":14.843941381426129,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:51","end":"08:11","startHours":6.855962314236628,"endHours":8.187292158768212,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:31","end":"10:51","startHours":9.518622003299795,"endHours":10.849951847831377,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:20","end":"09:42","startHours":9.341111357362252,"endHours":9.69613264923734,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:18","end":"07:35","startHours":7.299738929080489,"endHours":7.58375596258056,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:32","startHours":11.826260400487874,"endHours":12.53630298423805,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:26","end":"06:09","startHours":5.435877146736272,"endHours":6.14591973048645,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:58","end":"06:51","startHours":5.968409084548905,"endHours":6.855962314236628,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:57","end":"14:40","startHours":13.956388151738407,"endHours":14.666430735488586,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:18","end":"17:42","startHours":17.306601070489297,"endHours":17.706601070489295,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:30","end":"17:57","startHours":17.506601070489296,"endHours":17.95037768533316,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:15","end":"19:00","startHours":17.256601070489296,"endHours":19.006601070489296,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:32","startHours":23.82626040048787,"endHours":24.536302984238052,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:51","end":"08:11","startHours":6.855962314236628,"endHours":8.187292158768212,"quality":"auspicious"},{"name":"Roga","start":"08:11","end":"09:31","startHours":8.187292158768212,"endHours":9.518622003299795,"quality":"inauspicious"},{"name":"Udveg","start":"09:31","end":"10:51","startHours":9.518622003299795,"endHours":10.849951847831377,"quality":"inauspicious"},{"name":"Chala","start":"10:51","end":"12:11","startHours":10.849951847831377,"endHours":12.181281692362962,"quality":"neutral"},{"name":"Labha","start":"12:11","end":"13:31","startHours":12.181281692362962,"endHours":13.512611536894546,"quality":"auspicious"},{"name":"Amṛta","start":"13:31","end":"14:51","startHours":13.512611536894546,"endHours":14.843941381426129,"quality":"auspicious"},{"name":"Kāla","start":"14:51","end":"16:11","startHours":14.843941381426129,"endHours":16.17527122595771,"quality":"inauspicious"},{"name":"Śubha","start":"16:11","end":"17:30","startHours":16.17527122595771,"endHours":17.506601070489296,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:30","end":"19:11","startHours":17.506601070489296,"endHours":19.17527122595771,"quality":"auspicious"},{"name":"Kāla","start":"19:11","end":"20:51","startHours":19.17527122595771,"endHours":20.843941381426127,"quality":"inauspicious"},{"name":"Śubha","start":"20:51","end":"22:31","startHours":20.843941381426127,"endHours":22.512611536894546,"quality":"auspicious"},{"name":"Roga","start":"22:31","end":"00:11","startHours":22.512611536894546,"endHours":24.181281692362962,"quality":"inauspicious"},{"name":"Udveg","start":"00:11","end":"01:51","startHours":24.181281692362962,"endHours":25.849951847831377,"quality":"inauspicious"},{"name":"Chala","start":"01:51","end":"03:31","startHours":25.849951847831377,"endHours":27.518622003299797,"quality":"neutral"},{"name":"Labha","start":"03:31","end":"05:11","startHours":27.518622003299797,"endHours":29.187292158768212,"quality":"auspicious"},{"name":"Amṛta","start":"05:11","end":"06:51","startHours":29.187292158768212,"endHours":30.855962314236628,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:51","end":"07:51","startHours":6.855962314236628,"endHours":7.855962314236628,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:51","end":"08:51","startHours":7.855962314236628,"endHours":8.855962314236628,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:51","end":"09:51","startHours":8.855962314236628,"endHours":9.855962314236628,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:51","end":"10:51","startHours":9.855962314236628,"endHours":10.855962314236628,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:51","end":"11:51","startHours":10.855962314236628,"endHours":11.855962314236628,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:51","end":"12:51","startHours":11.855962314236628,"endHours":12.855962314236628,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:51","end":"13:51","startHours":12.855962314236628,"endHours":13.855962314236628,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:51","end":"14:51","startHours":13.855962314236628,"endHours":14.855962314236628,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:51","end":"15:51","startHours":14.855962314236628,"endHours":15.855962314236628,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:51","end":"16:51","startHours":15.855962314236628,"endHours":16.855962314236628,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:51","end":"17:51","startHours":16.855962314236628,"endHours":17.855962314236628,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:51","end":"18:51","startHours":17.855962314236628,"endHours":18.855962314236628,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:51","end":"19:51","startHours":18.855962314236628,"endHours":19.855962314236628,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:51","end":"20:51","startHours":19.855962314236628,"endHours":20.855962314236628,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:51","end":"21:51","startHours":20.855962314236628,"endHours":21.855962314236628,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:51","end":"22:51","startHours":21.855962314236628,"endHours":22.855962314236628,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:51","end":"23:51","startHours":22.855962314236628,"endHours":23.855962314236628,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:51","end":"00:51","startHours":23.855962314236628,"endHours":24.855962314236628,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:51","end":"01:51","startHours":24.855962314236628,"endHours":25.855962314236628,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:51","end":"02:51","startHours":25.855962314236628,"endHours":26.855962314236628,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:51","end":"03:51","startHours":26.855962314236628,"endHours":27.855962314236628,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:51","end":"04:51","startHours":27.855962314236628,"endHours":28.855962314236628,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:51","end":"05:51","startHours":28.855962314236628,"endHours":29.855962314236628,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:51","end":"06:51","startHours":29.855962314236628,"endHours":30.855962314236628,"planetary_lord":"Moon"}],"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":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-20.926443797694336,"eotMinutes":-9.692901541777706,"ayanamsa":25.0689}},"calendars":{"vikram_samvat":2144,"vikram_samvatsara":"Raudra","saka_samvat":2009,"saka_samvatsara":"Plavaṅga","bengali_samvat":1494,"malayalam_era":1263,"nanakshahi_year":618,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Trayodaśī · Vikram 2144 Raudra · Śaka 2009 Plavaṅga"},"festivals":[{"id":"makara-sankranti","name":"Makara Saṅkrānti (Uttarāyaṇa)","name_sanskrit":"मकर सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Capricorn; Uttarāyaṇa (north-going) begins. Bhīṣma's chosen mahaprasthāna time.","vrata":true,"detection":{"sun_rashi":"Makara"},"precedence":1,"sources":["Mahābhārata Bhīṣma-Stuti","Sūrya-Siddhānta"]},{"id":"pongal","name":"Pongal / Thai Pongal","name_sanskrit":"पोङ्गल","tradition":"Regional","associated_deity":"Sūrya Bhagavān","significance":"Tamil 4-day harvest festival; coincides with Makara Saṅkrānti.","vrata":false,"detection":{"sun_rashi":"Makara"},"precedence":2},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 January 16, 2087 CE · Ayodhyā · Vidhyamitra","description":"January 16, 2087 CE for Ayodhyā: Śukla Trayodaśī, sūryodaya 06:51, sūryāsta 17:30.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/2087-01-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/2087-01-16","sa":"https://sa.vidhyamitra.com/city/ayodhya/2087-01-16","hi":"https://hi.vidhyamitra.com/city/ayodhya/2087-01-16","x-default":"https://vidhyamitra.com/city/ayodhya/2087-01-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-18T09:37:28.715Z","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":"2026-05-18T09:37:28.715Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-18T09:37:28.715Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}