{"id":"vidhyamitra:city-day:ayodhya:2181-05-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/2181-05-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2181-05-13","date_display":"May 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":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2517786.770833,"kali_year":5283,"ahargana":1929321.2708,"sun":{"sidereal_longitude":26.0077,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":20.7121,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":354.7044,"elapsed_within_tithi_degrees":6.7044},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":20.7121,"elapsed_within_degrees":7.3788},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":46.7199},"karana":{"half_tithi_index":59,"name":"Nāga"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":5,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2517786.770833,"ahargana":1929321.2708,"kali_year":5283,"ayanamsa_lahiri":26.3865,"grahas":{"sun":{"sidereal_longitude":26.42568799999998,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":19.869287999999983,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false,"latitude":-0.426},"mars":{"sidereal_longitude":89.68998799999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":5.071987999999976,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":105.63628800000004,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"venus":{"sidereal_longitude":47.94458800000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":78.47968800000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":195.2745,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":15.2745,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":2181,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2517786.770833,"kali_year":5283,"ahargana":1929321.2708,"sun":{"sidereal_longitude":26.0077,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":20.7121,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":354.7044,"elapsed_within_tithi_degrees":6.7044},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":20.7121,"elapsed_within_degrees":7.3788},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":46.7199},"karana":{"half_tithi_index":59,"name":"Nāga"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.426,"elongation":5.296},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.426,"opposition_distance":174.704}},"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":"05:15","sunsetLocal":"18:40","solarNoonLocal":"11:57","dayLengthHours":13.428606471615264,"dayLengthDisplay":"13 Hours 25 Mins 43 Secs","nightLengthDisplay":"10 Hours 34 Mins 17 Secs","moonriseLocal":"04:54","moonsetLocal":"18:09","rahuKala":{"name":"Rāhu Kāla","start":"17:00","end":"18:40","startHours":16.99290344779645,"endHours":18.67147925674836,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:57","end":"13:38","startHours":11.957176020940725,"endHours":13.635751829892634,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:19","end":"17:00","startHours":15.314327638844542,"endHours":16.99290344779645,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:23","end":"08:49","startHours":8.376214295176656,"endHours":8.823834510897164,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:48","end":"06:10","startHours":5.80239805478373,"endHours":6.160494227360137,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:31","end":"12:24","startHours":11.509555805220218,"endHours":12.404796236661236,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:27","end":"04:21","startHours":3.4523919222510586,"endHours":4.3476323536920765,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:07","end":"05:15","startHours":4.123822245831822,"endHours":5.242872785133094,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:12","end":"15:05","startHours":14.195277099543269,"endHours":15.090517530984286,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:28","end":"18:52","startHours":18.47147925674836,"endHours":18.87147925674836,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:40","end":"19:14","startHours":18.67147925674836,"endHours":19.231004526398994,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:25","end":"20:10","startHours":18.42147925674836,"endHours":20.17147925674836,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:31","end":"00:24","startHours":23.50955580522022,"endHours":24.404796236661237,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:15","end":"06:55","startHours":5.242872785133094,"endHours":6.9214485940850015,"quality":"inauspicious"},{"name":"Chala","start":"06:55","end":"08:36","startHours":6.9214485940850015,"endHours":8.60002440303691,"quality":"neutral"},{"name":"Labha","start":"08:36","end":"10:17","startHours":8.60002440303691,"endHours":10.278600211988817,"quality":"auspicious"},{"name":"Amṛta","start":"10:17","end":"11:57","startHours":10.278600211988817,"endHours":11.957176020940725,"quality":"auspicious"},{"name":"Kāla","start":"11:57","end":"13:38","startHours":11.957176020940725,"endHours":13.635751829892634,"quality":"inauspicious"},{"name":"Śubha","start":"13:38","end":"15:19","startHours":13.635751829892634,"endHours":15.314327638844542,"quality":"auspicious"},{"name":"Roga","start":"15:19","end":"17:00","startHours":15.314327638844542,"endHours":16.99290344779645,"quality":"inauspicious"},{"name":"Udveg","start":"17:00","end":"18:40","startHours":16.99290344779645,"endHours":18.67147925674836,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:40","end":"20:00","startHours":18.67147925674836,"endHours":19.99290344779645,"quality":"auspicious"},{"name":"Roga","start":"20:00","end":"21:19","startHours":19.99290344779645,"endHours":21.314327638844542,"quality":"inauspicious"},{"name":"Udveg","start":"21:19","end":"22:38","startHours":21.314327638844542,"endHours":22.635751829892634,"quality":"inauspicious"},{"name":"Chala","start":"22:38","end":"23:57","startHours":22.635751829892634,"endHours":23.95717602094073,"quality":"neutral"},{"name":"Labha","start":"23:57","end":"01:17","startHours":23.95717602094073,"endHours":25.278600211988817,"quality":"auspicious"},{"name":"Amṛta","start":"01:17","end":"02:36","startHours":25.278600211988817,"endHours":26.60002440303691,"quality":"auspicious"},{"name":"Kāla","start":"02:36","end":"03:55","startHours":26.60002440303691,"endHours":27.921448594085003,"quality":"inauspicious"},{"name":"Śubha","start":"03:55","end":"05:15","startHours":27.921448594085003,"endHours":29.242872785133095,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:15","end":"06:15","startHours":5.242872785133094,"endHours":6.242872785133094,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:15","end":"07:15","startHours":6.242872785133094,"endHours":7.242872785133094,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:15","end":"08:15","startHours":7.242872785133094,"endHours":8.242872785133095,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:15","end":"09:15","startHours":8.242872785133095,"endHours":9.242872785133095,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:15","end":"10:15","startHours":9.242872785133095,"endHours":10.242872785133095,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:15","end":"11:15","startHours":10.242872785133095,"endHours":11.242872785133095,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:15","end":"12:15","startHours":11.242872785133095,"endHours":12.242872785133095,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:15","end":"13:15","startHours":12.242872785133095,"endHours":13.242872785133095,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:15","end":"14:15","startHours":13.242872785133095,"endHours":14.242872785133095,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:15","end":"15:15","startHours":14.242872785133095,"endHours":15.242872785133095,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:15","end":"16:15","startHours":15.242872785133095,"endHours":16.242872785133095,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:15","end":"17:15","startHours":16.242872785133095,"endHours":17.242872785133095,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:15","end":"18:15","startHours":17.242872785133095,"endHours":18.242872785133095,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:15","end":"19:15","startHours":18.242872785133095,"endHours":19.242872785133095,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:15","end":"20:15","startHours":19.242872785133095,"endHours":20.242872785133095,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:15","end":"21:15","startHours":20.242872785133095,"endHours":21.242872785133095,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:15","end":"22:15","startHours":21.242872785133095,"endHours":22.242872785133095,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:15","end":"23:15","startHours":22.242872785133095,"endHours":23.242872785133095,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:15","end":"00:15","startHours":23.242872785133095,"endHours":24.242872785133095,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:15","end":"01:15","startHours":24.242872785133095,"endHours":25.242872785133095,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:15","end":"02:15","startHours":25.242872785133095,"endHours":26.242872785133095,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:15","end":"03:15","startHours":26.242872785133095,"endHours":27.242872785133095,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:15","end":"04:15","startHours":27.242872785133095,"endHours":28.242872785133095,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:15","end":"05:15","startHours":28.242872785133095,"endHours":29.242872785133095,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","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":"West (Paścim)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Kāladaṇḍa","quality":"Inauspicious"},"drikRitu":"Vasanta (Spring) (Drik)","vedicRitu":"Vasanta (Spring)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":18.472952639809193,"eotMinutes":3.7534387435564067,"ayanamsa":26.3865}},"calendars":{"vikram_samvat":2238,"vikram_samvatsara":"Jaya","saka_samvat":2103,"saka_samvatsara":"Vṛṣa","bengali_samvat":1588,"malayalam_era":1357,"nanakshahi_year":712,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Kṛṣṇa Pakṣa","solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Kṛṣṇa Amāvasyā · Vikram 2238 Jaya · Śaka 2103 Vṛṣa"},"festivals":[{"id":"mesha-sankranti","name":"Meṣa Saṅkrānti (Vaiśākhī / Vishu / Pohelā Boishākh / Bihu)","name_sanskrit":"मेष सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Aries; solar new year. Regional: Vaiśākhī (Punjab) · Vishu (Kerala) · Pohelā Boishākh (Bengal) · Bihu (Assam) · Tamil Puthāṇḍu.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":1},{"id":"baisakhi","name":"Baisakhi (Vaiśākhī)","name_sanskrit":"वैशाखी","tradition":"Regional","associated_deity":"Sūrya + Khalsa Pantha (Sikh)","significance":"Punjab New Year + Sikh Khalsa founding day.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":2}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Kṛṣṇa Amāvasyā","url":"/day/-3137-10-20","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 May 13, 2181 CE · Ayodhyā · Vidhyamitra","description":"May 13, 2181 CE for Ayodhyā: Kṛṣṇa Amāvasyā, sūryodaya 05:15, sūryāsta 18:40.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/2181-05-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/2181-05-13","sa":"https://sa.vidhyamitra.com/city/ayodhya/2181-05-13","hi":"https://hi.vidhyamitra.com/city/ayodhya/2181-05-13","x-default":"https://vidhyamitra.com/city/ayodhya/2181-05-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-21T06:16:42.392Z","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":"2026-05-21T06:16:42.392Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-21T06:16:42.392Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}