{"id":"vidhyamitra:city-day:ayodhya:2041-08-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/2041-08-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2041-08-21","date_display":"August 21, 2041 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":2041,"month":8,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466752.770833,"kali_year":5143,"ahargana":1878287.2708,"sun":{"sidereal_longitude":123.2094,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":58.0609,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":294.8516,"elapsed_within_tithi_degrees":6.8516},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2,"moon_longitude":58.0609,"elapsed_within_degrees":4.7276},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":181.2703},"karana":{"half_tithi_index":49,"name":"Viṣṭi"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2041,"month":8,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466752.770833,"ahargana":1878287.2708,"kali_year":5143,"ayanamsa_lahiri":24.4346,"grahas":{"sun":{"sidereal_longitude":123.95056199999999,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":61.16176200000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false,"latitude":2.8155},"mars":{"sidereal_longitude":65.75616200000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":144.07816200000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":182.65946199999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":90.637562,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":175.43266199999994,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":19.3014,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":199.3014,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","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":2041,"month":8,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466752.770833,"kali_year":5143,"ahargana":1878287.2708,"sun":{"sidereal_longitude":123.2094,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":58.0609,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":294.8516,"elapsed_within_tithi_degrees":6.8516},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2,"moon_longitude":58.0609,"elapsed_within_degrees":4.7276},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":181.2703},"karana":{"half_tithi_index":49,"name":"Viṣṭi"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.815,"elongation":65.148},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.815,"opposition_distance":114.852}},"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":"05:35","sunsetLocal":"18:33","solarNoonLocal":"12:04","dayLengthHours":12.952299584544972,"dayLengthDisplay":"12 Hours 57 Mins 08 Secs","nightLengthDisplay":"11 Hours 02 Mins 52 Secs","moonriseLocal":"00:59","moonsetLocal":"14:46","rahuKala":{"name":"Rāhu Kāla","start":"12:04","end":"13:41","startHours":12.066364888599914,"endHours":13.685402336668036,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:13","end":"08:50","startHours":7.20925254439555,"endHours":8.828289992463672,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:27","end":"12:04","startHours":10.447327440531794,"endHours":12.066364888599914,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:37","end":"09:03","startHours":8.612418332721255,"endHours":9.044161652206087,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:08","end":"06:29","startHours":6.129894245683469,"endHours":6.475288901271336,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:38","end":"12:30","startHours":11.634621569115081,"endHours":12.498108208084746,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:52","end":"04:44","startHours":3.863241818388099,"endHours":4.726728457357764,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:31","end":"05:35","startHours":4.5108567976153475,"endHours":5.590215096327428,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:14","end":"15:05","startHours":14.225081486024077,"endHours":15.088568124993742,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:21","end":"18:45","startHours":18.3425146808724,"endHours":18.7425146808724,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:33","end":"19:05","startHours":18.5425146808724,"endHours":19.08219383022844,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:18","end":"20:03","startHours":18.2925146808724,"endHours":20.0425146808724,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:38","end":"00:30","startHours":23.63462156911508,"endHours":24.498108208084748,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:35","end":"07:13","startHours":5.590215096327428,"endHours":7.20925254439555,"quality":"auspicious"},{"name":"Amṛta","start":"07:13","end":"08:50","startHours":7.20925254439555,"endHours":8.828289992463672,"quality":"auspicious"},{"name":"Kāla","start":"08:50","end":"10:27","startHours":8.828289992463672,"endHours":10.447327440531794,"quality":"inauspicious"},{"name":"Śubha","start":"10:27","end":"12:04","startHours":10.447327440531794,"endHours":12.066364888599914,"quality":"auspicious"},{"name":"Roga","start":"12:04","end":"13:41","startHours":12.066364888599914,"endHours":13.685402336668036,"quality":"inauspicious"},{"name":"Udveg","start":"13:41","end":"15:18","startHours":13.685402336668036,"endHours":15.304439784736157,"quality":"inauspicious"},{"name":"Chala","start":"15:18","end":"16:55","startHours":15.304439784736157,"endHours":16.92347723280428,"quality":"neutral"},{"name":"Labha","start":"16:55","end":"18:33","startHours":16.92347723280428,"endHours":18.5425146808724,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:33","end":"19:55","startHours":18.5425146808724,"endHours":19.92347723280428,"quality":"inauspicious"},{"name":"Chala","start":"19:55","end":"21:18","startHours":19.92347723280428,"endHours":21.304439784736157,"quality":"neutral"},{"name":"Labha","start":"21:18","end":"22:41","startHours":21.304439784736157,"endHours":22.685402336668037,"quality":"auspicious"},{"name":"Amṛta","start":"22:41","end":"00:04","startHours":22.685402336668037,"endHours":24.066364888599914,"quality":"auspicious"},{"name":"Kāla","start":"00:04","end":"01:27","startHours":24.066364888599914,"endHours":25.447327440531794,"quality":"inauspicious"},{"name":"Śubha","start":"01:27","end":"02:50","startHours":25.447327440531794,"endHours":26.828289992463674,"quality":"auspicious"},{"name":"Roga","start":"02:50","end":"04:13","startHours":26.828289992463674,"endHours":28.20925254439555,"quality":"inauspicious"},{"name":"Udveg","start":"04:13","end":"05:35","startHours":28.20925254439555,"endHours":29.590215096327427,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:35","end":"06:35","startHours":5.590215096327428,"endHours":6.590215096327428,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:35","end":"07:35","startHours":6.590215096327428,"endHours":7.590215096327428,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:35","end":"08:35","startHours":7.590215096327428,"endHours":8.590215096327428,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:35","end":"09:35","startHours":8.590215096327428,"endHours":9.590215096327428,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:35","end":"10:35","startHours":9.590215096327428,"endHours":10.590215096327428,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:35","end":"11:35","startHours":10.590215096327428,"endHours":11.590215096327428,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:35","end":"12:35","startHours":11.590215096327428,"endHours":12.590215096327428,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:35","end":"13:35","startHours":12.590215096327428,"endHours":13.590215096327428,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:35","end":"14:35","startHours":13.590215096327428,"endHours":14.590215096327428,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:35","end":"15:35","startHours":14.590215096327428,"endHours":15.590215096327428,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:35","end":"16:35","startHours":15.590215096327428,"endHours":16.590215096327427,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:35","end":"17:35","startHours":16.590215096327427,"endHours":17.590215096327427,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:35","end":"18:35","startHours":17.590215096327427,"endHours":18.590215096327427,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:35","end":"19:35","startHours":18.590215096327427,"endHours":19.590215096327427,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:35","end":"20:35","startHours":19.590215096327427,"endHours":20.590215096327427,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:35","end":"21:35","startHours":20.590215096327427,"endHours":21.590215096327427,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:35","end":"22:35","startHours":21.590215096327427,"endHours":22.590215096327427,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:35","end":"23:35","startHours":22.590215096327427,"endHours":23.590215096327427,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:35","end":"00:35","startHours":23.590215096327427,"endHours":24.590215096327427,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:35","end":"01:35","startHours":24.590215096327427,"endHours":25.590215096327427,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:35","end":"02:35","startHours":25.590215096327427,"endHours":26.590215096327427,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:35","end":"03:35","startHours":26.590215096327427,"endHours":27.590215096327427,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:35","end":"04:35","startHours":27.590215096327427,"endHours":28.590215096327427,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:35","end":"05:35","startHours":28.590215096327427,"endHours":29.590215096327427,"planetary_lord":"Sun"}],"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","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Mṛtyu","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":12.034107064190977,"eotMinutes":-2.7978933159948465,"ayanamsa":24.4346}},"calendars":{"vikram_samvat":2098,"vikram_samvatsara":"Bhāva","saka_samvat":1963,"saka_samvatsara":"Durmati","bengali_samvat":1448,"malayalam_era":1217,"nanakshahi_year":572,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Daśamī · Vikram 2098 Bhāva · Śaka 1963 Durmati"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 August 21, 2041 CE · Ayodhyā · Vidhyamitra","description":"August 21, 2041 CE for Ayodhyā: Kṛṣṇa Daśamī, sūryodaya 05:35, sūryāsta 18:33.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/2041-08-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/2041-08-21","sa":"https://sa.vidhyamitra.com/city/ayodhya/2041-08-21","hi":"https://hi.vidhyamitra.com/city/ayodhya/2041-08-21","x-default":"https://vidhyamitra.com/city/ayodhya/2041-08-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T11:26:13.105Z","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":"2026-05-31T11:26:13.105Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T11:26:13.105Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}