{"id":"vidhyamitra:city-day:agra:2040-08-22:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/agra/2040-08-22","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2040-08-22","date_display":"August 22, 2040 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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2040,"month":8,"day":22,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466388.770833,"kali_year":5142,"ahargana":1877923.2708,"sun":{"sidereal_longitude":124.4159,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":300.6822,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":176.2664,"elapsed_within_tithi_degrees":8.2664},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3,"moon_longitude":300.6822,"elapsed_within_degrees":7.3489},"yoga":{"number":5,"name":"Śobhana","sum_longitude":65.0981},"karana":{"half_tithi_index":29,"name":"Bava"},"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":2040,"month":8,"day":22,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466388.770833,"ahargana":1877923.2708,"kali_year":5142,"ayanamsa_lahiri":24.4207,"grahas":{"sun":{"sidereal_longitude":125.160369,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":300.25286900000003,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false,"latitude":-4.4571},"mars":{"sidereal_longitude":159.78946900000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":133.22556899999995,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":158.05226900000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":147.122569,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":164.446369,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":38.5879,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":218.5879,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2040,"month":8,"day":22,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466388.770833,"kali_year":5142,"ahargana":1877923.2708,"sun":{"sidereal_longitude":124.4159,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":300.6822,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":176.2664,"elapsed_within_tithi_degrees":8.2664},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3,"moon_longitude":300.6822,"elapsed_within_degrees":7.3489},"yoga":{"number":5,"name":"Śobhana","sum_longitude":65.0981},"karana":{"half_tithi_index":29,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.457,"elongation":176.266},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.457,"opposition_distance":3.734}},"eclipse_window_40days":[]},"city":{"slug":"agra","name":"Agra, Uttar Pradesh","lat":27.1767,"lon":78.0081,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"agra","name":"Agra, Uttar Pradesh","lat":27.1767,"lon":78.0081,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tier-1"},"sunriseLocal":"05:52","sunsetLocal":"18:49","solarNoonLocal":"12:21","dayLengthHours":12.936170282685161,"dayLengthDisplay":"12 Hours 56 Mins 10 Secs","nightLengthDisplay":"11 Hours 03 Mins 50 Secs","moonriseLocal":"18:26","moonsetLocal":"05:36","rahuKala":{"name":"Rāhu Kāla","start":"12:21","end":"13:58","startHours":12.341748937730806,"endHours":13.958770223066452,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:29","end":"09:06","startHours":7.49068508172387,"endHours":9.107706367059516,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:43","end":"12:21","startHours":10.72472765239516,"endHours":12.341748937730806,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:54","end":"09:19","startHours":8.892103529014763,"endHours":9.323309205104268,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:25","end":"06:45","startHours":6.412670891500107,"endHours":6.757635432371711,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:46","startHours":11.910543261641301,"endHours":12.77295461382031,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:09","end":"05:01","startHours":4.148841092030204,"endHours":5.011252444209214,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:48","end":"05:52","startHours":4.795649606164462,"endHours":5.873663796388225,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:30","end":"15:22","startHours":14.497777318178333,"endHours":15.360188670357344,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:37","end":"19:01","startHours":18.609834079073387,"endHours":19.009834079073386,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:49","end":"19:21","startHours":18.809834079073386,"endHours":19.348841174185267,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:34","end":"20:19","startHours":18.559834079073386,"endHours":20.309834079073386,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:46","startHours":23.9105432616413,"endHours":24.77295461382031,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:52","end":"07:29","startHours":5.873663796388225,"endHours":7.49068508172387,"quality":"auspicious"},{"name":"Amṛta","start":"07:29","end":"09:06","startHours":7.49068508172387,"endHours":9.107706367059516,"quality":"auspicious"},{"name":"Kāla","start":"09:06","end":"10:43","startHours":9.107706367059516,"endHours":10.72472765239516,"quality":"inauspicious"},{"name":"Śubha","start":"10:43","end":"12:21","startHours":10.72472765239516,"endHours":12.341748937730806,"quality":"auspicious"},{"name":"Roga","start":"12:21","end":"13:58","startHours":12.341748937730806,"endHours":13.958770223066452,"quality":"inauspicious"},{"name":"Udveg","start":"13:58","end":"15:35","startHours":13.958770223066452,"endHours":15.575791508402096,"quality":"inauspicious"},{"name":"Chala","start":"15:35","end":"17:12","startHours":15.575791508402096,"endHours":17.19281279373774,"quality":"neutral"},{"name":"Labha","start":"17:12","end":"18:49","startHours":17.19281279373774,"endHours":18.809834079073386,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:49","end":"20:12","startHours":18.809834079073386,"endHours":20.19281279373774,"quality":"inauspicious"},{"name":"Chala","start":"20:12","end":"21:35","startHours":20.19281279373774,"endHours":21.575791508402098,"quality":"neutral"},{"name":"Labha","start":"21:35","end":"22:58","startHours":21.575791508402098,"endHours":22.958770223066452,"quality":"auspicious"},{"name":"Amṛta","start":"22:58","end":"00:21","startHours":22.958770223066452,"endHours":24.341748937730806,"quality":"auspicious"},{"name":"Kāla","start":"00:21","end":"01:43","startHours":24.341748937730806,"endHours":25.72472765239516,"quality":"inauspicious"},{"name":"Śubha","start":"01:43","end":"03:06","startHours":25.72472765239516,"endHours":27.107706367059514,"quality":"auspicious"},{"name":"Roga","start":"03:06","end":"04:29","startHours":27.107706367059514,"endHours":28.49068508172387,"quality":"inauspicious"},{"name":"Udveg","start":"04:29","end":"05:52","startHours":28.49068508172387,"endHours":29.873663796388225,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:52","end":"06:52","startHours":5.873663796388225,"endHours":6.873663796388225,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:52","end":"07:52","startHours":6.873663796388225,"endHours":7.873663796388225,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:52","end":"08:52","startHours":7.873663796388225,"endHours":8.873663796388225,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:52","end":"09:52","startHours":8.873663796388225,"endHours":9.873663796388225,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:52","end":"10:52","startHours":9.873663796388225,"endHours":10.873663796388225,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:52","end":"11:52","startHours":10.873663796388225,"endHours":11.873663796388225,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:52","end":"12:52","startHours":11.873663796388225,"endHours":12.873663796388225,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:52","end":"13:52","startHours":12.873663796388225,"endHours":13.873663796388225,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:52","end":"14:52","startHours":13.873663796388225,"endHours":14.873663796388225,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:52","end":"15:52","startHours":14.873663796388225,"endHours":15.873663796388225,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:52","end":"16:52","startHours":15.873663796388225,"endHours":16.873663796388225,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:52","end":"17:52","startHours":16.873663796388225,"endHours":17.873663796388225,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:52","end":"18:52","startHours":17.873663796388225,"endHours":18.873663796388225,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:52","end":"19:52","startHours":18.873663796388225,"endHours":19.873663796388225,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:52","end":"20:52","startHours":19.873663796388225,"endHours":20.873663796388225,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:52","end":"21:52","startHours":20.873663796388225,"endHours":21.873663796388225,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:52","end":"22:52","startHours":21.873663796388225,"endHours":22.873663796388225,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:52","end":"23:52","startHours":22.873663796388225,"endHours":23.873663796388225,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:52","end":"00:52","startHours":23.873663796388225,"endHours":24.873663796388225,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:52","end":"01:52","startHours":24.873663796388225,"endHours":25.873663796388225,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:52","end":"02:52","startHours":25.873663796388225,"endHours":26.873663796388225,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:52","end":"03:52","startHours":26.873663796388225,"endHours":27.873663796388225,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:52","end":"04:52","startHours":27.873663796388225,"endHours":28.873663796388225,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:52","end":"05:52","startHours":28.873663796388225,"endHours":29.873663796388225,"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","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Dhvaja","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":11.617633595261092,"eotMinutes":-2.537336263848294,"ayanamsa":24.4207}},"calendars":{"vikram_samvat":2097,"vikram_samvatsara":"Śrīmukha","saka_samvat":1962,"saka_samvatsara":"Raudra","bengali_samvat":1447,"malayalam_era":1216,"nanakshahi_year":571,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","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":"Śrāvaṇa Śukla Pūrṇimā · Vikram 2097 Śrīmukha · Śaka 1962 Raudra"},"festivals":[{"id":"raksha-bandhana","name":"Rakṣā Bandhana / Śrāvaṇa Pūrṇimā","name_sanskrit":"रक्षा बन्धन","tradition":"Pan-Hindu","significance":"Sister-brother bond; Brāhmaṇa Upākarma.","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Śrāvaṇa"},"precedence":1},{"id":"jhulan-purnima","name":"Jhūlan Pūrṇimā (Rādhā-Krishna swing)","name_sanskrit":"झूलन पूर्णिमा","tradition":"Vaishnava","associated_deity":"Rādhā-Krishna","significance":"Rādhā-Krishna swing-līlā festival; Jhūlan-yātrā culmination.","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Śrāvaṇa"},"precedence":3},{"id":"upakarman-rigveda","name":"Ṛg-Veda Upākarman","name_sanskrit":"ऋग्वेद उपाकर्मन्","tradition":"Smarta","associated_deity":"Ṛṣi-paramparā","significance":"Annual renewal of Veda-svādhyāya for Ṛg-Vedīs. Śrāvaṇa Pūrṇimā.","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Śrāvaṇa"},"precedence":3},{"id":"upakarman-yajurveda","name":"Yajur-Veda Upākarman","name_sanskrit":"यजुर्वेद उपाकर्मन्","tradition":"Smarta","significance":"Annual renewal of Veda-svādhyāya for Yajur-Vedīs.","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Śrāvaṇa"},"precedence":3},{"id":"hayagriva-jayanti","name":"Hayagrīva Jayantī","name_sanskrit":"हयग्रीव जयन्ती","tradition":"Vaishnava","associated_deity":"Hayagrīva (Knowledge-form of Bhagavān)","significance":"Bhagavān as Hayagrīva restored the Vedas to Brahmā. Vidyā-pradāyaka.","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Śrāvaṇa"},"precedence":4,"sources":["Devī-Bhāgavata, Hayagrīva-stotra"]}],"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":"Dedicated festival walk for Rakṣā Bandhana / Śrāvaṇa Pūrṇimā · Jhūlan Pūrṇimā (Rādhā-Krishna swing) · Ṛg-Veda Upākarman · Yajur-Veda Upākarman · Hayagrīva Jayantī is not live yet; Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"agra"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga August 22, 2040 CE · Agra, Uttar Pradesh · Vidhyamitra","description":"August 22, 2040 CE for Agra, Uttar Pradesh: Śukla Pūrṇimā, sūryodaya 05:52, sūryāsta 18:49.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/agra/2040-08-22","hreflang_alternates":{"en":"https://vidhyamitra.com/city/agra/2040-08-22","sa":"https://sa.vidhyamitra.com/city/agra/2040-08-22","hi":"https://hi.vidhyamitra.com/city/agra/2040-08-22","x-default":"https://vidhyamitra.com/city/agra/2040-08-22"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T08:59:09.438Z","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":"2026-08-10T08:59:09.438Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T08:59:09.438Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","reader-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}