{"id":"vidhyamitra:city-day:ayodhya:2181-07-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/2181-07-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2181-07-13","date_display":"July 13, 2181 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":2181,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2517847.770833,"kali_year":5283,"ahargana":1929382.2708,"sun":{"sidereal_longitude":83.9991,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":98.1602,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":14.1611,"elapsed_within_tithi_degrees":2.1611},"nakshatra":{"number":8,"name":"Puṣya","pada":2,"moon_longitude":98.1602,"elapsed_within_degrees":4.8268},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":182.1592},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2181,"month":7,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2517847.770833,"ahargana":1929382.2708,"kali_year":5283,"ayanamsa_lahiri":26.3888,"grahas":{"sun":{"sidereal_longitude":84.83605699999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"moon":{"sidereal_longitude":97.303157,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false,"latitude":-4.4897},"mars":{"sidereal_longitude":125.24555700000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":97.12305700000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":115.26605700000005,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":120.65555700000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":85.68435699999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":192.0425,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":12.0425,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"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":2181,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2517847.770833,"kali_year":5283,"ahargana":1929382.2708,"sun":{"sidereal_longitude":83.9991,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":98.1602,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":14.1611,"elapsed_within_tithi_degrees":2.1611},"nakshatra":{"number":8,"name":"Puṣya","pada":2,"moon_longitude":98.1602,"elapsed_within_degrees":4.8268},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":182.1592},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.49,"elongation":14.161},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.49,"opposition_distance":165.839}},"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":"05:16","sunsetLocal":"18:57","solarNoonLocal":"12:07","dayLengthHours":13.688123268928386,"dayLengthDisplay":"13 Hours 41 Mins 17 Secs","nightLengthDisplay":"10 Hours 18 Mins 43 Secs","moonriseLocal":"06:13","moonsetLocal":"19:40","rahuKala":{"name":"Rāhu Kāla","start":"10:24","end":"12:07","startHours":10.398075072153297,"endHours":12.109090480769346,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:32","end":"17:15","startHours":15.531121298001443,"endHours":17.24213670661749,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:59","end":"08:41","startHours":6.976044254921201,"endHours":8.68705966353725,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:28","end":"08:55","startHours":8.458924275721778,"endHours":8.915195051352722,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:50","end":"06:12","startHours":5.835367315843836,"endHours":6.200383936348593,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:39","end":"12:34","startHours":11.6528197051384,"endHours":12.565361256400292,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:26","end":"04:21","startHours":3.4399457437813683,"endHours":4.352487295043261,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:07","end":"05:16","startHours":4.124351907227788,"endHours":5.265028846305153,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:23","end":"15:18","startHours":14.390444358924077,"endHours":15.302985910185969,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:45","end":"19:09","startHours":18.75315211523354,"endHours":19.15315211523354,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:57","end":"19:31","startHours":18.95315211523354,"endHours":19.523490584772222,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:42","end":"20:27","startHours":18.70315211523354,"endHours":20.45315211523354,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:39","end":"00:34","startHours":23.6528197051384,"endHours":24.565361256400294,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:16","end":"06:59","startHours":5.265028846305153,"endHours":6.976044254921201,"quality":"neutral"},{"name":"Labha","start":"06:59","end":"08:41","startHours":6.976044254921201,"endHours":8.68705966353725,"quality":"auspicious"},{"name":"Amṛta","start":"08:41","end":"10:24","startHours":8.68705966353725,"endHours":10.398075072153297,"quality":"auspicious"},{"name":"Kāla","start":"10:24","end":"12:07","startHours":10.398075072153297,"endHours":12.109090480769346,"quality":"inauspicious"},{"name":"Śubha","start":"12:07","end":"13:49","startHours":12.109090480769346,"endHours":13.820105889385395,"quality":"auspicious"},{"name":"Roga","start":"13:49","end":"15:32","startHours":13.820105889385395,"endHours":15.531121298001443,"quality":"inauspicious"},{"name":"Udveg","start":"15:32","end":"17:15","startHours":15.531121298001443,"endHours":17.24213670661749,"quality":"inauspicious"},{"name":"Chala","start":"17:15","end":"18:57","startHours":17.24213670661749,"endHours":18.95315211523354,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:57","end":"20:15","startHours":18.95315211523354,"endHours":20.24213670661749,"quality":"inauspicious"},{"name":"Udveg","start":"20:15","end":"21:32","startHours":20.24213670661749,"endHours":21.531121298001445,"quality":"inauspicious"},{"name":"Chala","start":"21:32","end":"22:49","startHours":21.531121298001445,"endHours":22.820105889385395,"quality":"neutral"},{"name":"Labha","start":"22:49","end":"00:07","startHours":22.820105889385395,"endHours":24.109090480769346,"quality":"auspicious"},{"name":"Amṛta","start":"00:07","end":"01:24","startHours":24.109090480769346,"endHours":25.398075072153297,"quality":"auspicious"},{"name":"Kāla","start":"01:24","end":"02:41","startHours":25.398075072153297,"endHours":26.687059663537248,"quality":"inauspicious"},{"name":"Śubha","start":"02:41","end":"03:59","startHours":26.687059663537248,"endHours":27.976044254921202,"quality":"auspicious"},{"name":"Roga","start":"03:59","end":"05:16","startHours":27.976044254921202,"endHours":29.265028846305153,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:16","end":"06:16","startHours":5.265028846305153,"endHours":6.265028846305153,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:16","end":"07:16","startHours":6.265028846305153,"endHours":7.265028846305153,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:16","end":"08:16","startHours":7.265028846305153,"endHours":8.265028846305153,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:16","end":"09:16","startHours":8.265028846305153,"endHours":9.265028846305153,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:16","end":"10:16","startHours":9.265028846305153,"endHours":10.265028846305153,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:16","end":"11:16","startHours":10.265028846305153,"endHours":11.265028846305153,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:16","end":"12:16","startHours":11.265028846305153,"endHours":12.265028846305153,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:16","end":"13:16","startHours":12.265028846305153,"endHours":13.265028846305153,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:16","end":"14:16","startHours":13.265028846305153,"endHours":14.265028846305153,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:16","end":"15:16","startHours":14.265028846305153,"endHours":15.265028846305153,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:16","end":"16:16","startHours":15.265028846305153,"endHours":16.265028846305153,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:16","end":"17:16","startHours":16.265028846305153,"endHours":17.265028846305153,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:16","end":"18:16","startHours":17.265028846305153,"endHours":18.265028846305153,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:16","end":"19:16","startHours":18.265028846305153,"endHours":19.265028846305153,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:16","end":"20:16","startHours":19.265028846305153,"endHours":20.265028846305153,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:16","end":"21:16","startHours":20.265028846305153,"endHours":21.265028846305153,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:16","end":"22:16","startHours":21.265028846305153,"endHours":22.265028846305153,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:16","end":"23:16","startHours":22.265028846305153,"endHours":23.265028846305153,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:16","end":"00:16","startHours":23.265028846305153,"endHours":24.265028846305153,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:16","end":"01:16","startHours":24.265028846305153,"endHours":25.265028846305153,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:16","end":"02:16","startHours":25.265028846305153,"endHours":26.265028846305153,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:16","end":"03:16","startHours":26.265028846305153,"endHours":27.265028846305153,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:16","end":"04:16","startHours":27.265028846305153,"endHours":28.265028846305153,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:16","end":"05:16","startHours":28.265028846305153,"endHours":29.265028846305153,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"South-East","anandadiYoga":{"name":"Dhātṛ","quality":"Auspicious"},"drikRitu":"Grīṣma (Summer) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":21.76206463764737,"eotMinutes":-5.361428846160681,"ayanamsa":26.3888}},"calendars":{"vikram_samvat":2238,"vikram_samvatsara":"Jaya","saka_samvat":2103,"saka_samvatsara":"Vṛṣa","bengali_samvat":1588,"malayalam_era":1357,"nanakshahi_year":712,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Dvitīyā · Vikram 2238 Jaya · Śaka 2103 Vṛṣa"},"festivals":[{"id":"ratha-yatra","name":"Ratha-Yātrā (Jagannātha Puri)","name_sanskrit":"रथ यात्रा","tradition":"Vaishnava","associated_deity":"Jagannātha (Krishna) + Balarāma + Subhadrā","significance":"Jagannātha's annual ratha-yātrā at Puri.","vrata":false,"detection":{"tithi_number":2,"tithi_paksha":"Śukla","lunar_month":"Āṣāḍha"},"precedence":2},{"id":"mithuna-sankranti","name":"Mithuna Saṅkrānti","name_sanskrit":"मिथुन सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Gemini.","vrata":false,"detection":{"sun_rashi":"Mithuna"},"precedence":5}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 July 13, 2181 CE · Ayodhyā · Vidhyamitra","description":"July 13, 2181 CE for Ayodhyā: Śukla Dvitīyā, sūryodaya 05:16, sūryāsta 18:57.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/2181-07-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/2181-07-13","sa":"https://sa.vidhyamitra.com/city/ayodhya/2181-07-13","hi":"https://hi.vidhyamitra.com/city/ayodhya/2181-07-13","x-default":"https://vidhyamitra.com/city/ayodhya/2181-07-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-21T22:46:01.969Z","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":"2026-05-21T22:46:01.969Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-21T22:46:01.969Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}