{"id":"vidhyamitra:city-day:mathura:-3200-08-22:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3200-08-22","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3200-08-22","date_display":"August 22, 3201 BCE","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":-3200,"month":8,"day":22,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":552491.770833,"kali_year":-98,"ahargana":-35973.7292,"sun":{"sidereal_longitude":181.9068,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":112.4998,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":290.593,"elapsed_within_tithi_degrees":2.593},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2,"moon_longitude":112.4998,"elapsed_within_degrees":5.8331},"yoga":{"number":23,"name":"Śubha","sum_longitude":294.4066},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"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":-3200,"month":8,"day":22,"hour":6,"minute":30,"calendar":"julian"},"julian_day":552491.770833,"ahargana":-35973.7292,"kali_year":-98,"ayanamsa_lahiri":-48.7787,"grahas":{"sun":{"sidereal_longitude":181.9068,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":112.4998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2},"retrograde":false,"latitude":-0.5041},"mars":{"sidereal_longitude":204.2318,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":177.6467,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":236.5728,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":229.0149,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":233.1739,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":286.0613,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":106.0613,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","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":"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":-3200,"month":8,"day":22,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":552491.770833,"kali_year":-98,"ahargana":-35973.7292,"sun":{"sidereal_longitude":181.9068,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":112.4998,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":290.593,"elapsed_within_tithi_degrees":2.593},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2,"moon_longitude":112.4998,"elapsed_within_degrees":5.8331},"yoga":{"number":23,"name":"Śubha","sum_longitude":294.4066},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.504,"elongation":69.407},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.504,"opposition_distance":110.593}},"eclipse_window_40days":[]},"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"05:42","sunsetLocal":"19:02","solarNoonLocal":"12:22","dayLengthHours":13.343682925926338,"dayLengthDisplay":"13 Hours 20 Mins 37 Secs","nightLengthDisplay":"10 Hours 39 Mins 23 Secs","moonriseLocal":"00:56","moonsetLocal":"14:33","rahuKala":{"name":"Rāhu Kāla","start":"14:02","end":"15:42","startHours":14.032002636804933,"endHours":15.699963002545726,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:42","end":"07:22","startHours":5.692200808100972,"endHours":7.360161173841764,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:02","end":"10:42","startHours":9.028121539582557,"endHours":10.696081905323348,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:48","end":"09:15","startHours":8.805726824150451,"endHours":9.250516255014661,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:15","end":"06:36","startHours":6.248187596681236,"endHours":6.604019141372604,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:49","startHours":11.919252840199928,"endHours":12.808831701928352,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:55","end":"04:48","startHours":3.9130430846441264,"endHours":4.8026219463725495,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:35","end":"05:42","startHours":4.5802272309404435,"endHours":5.692200808100972,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:35","end":"15:29","startHours":14.587989425385196,"endHours":15.477568287113618,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:50","end":"19:14","startHours":18.83588373402731,"endHours":19.235883734027308,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:02","end":"19:36","startHours":19.03588373402731,"endHours":19.59187052260757,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:47","end":"20:32","startHours":18.78588373402731,"endHours":20.53588373402731,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:49","startHours":23.919252840199928,"endHours":24.80883170192835,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:42","end":"07:22","startHours":5.692200808100972,"endHours":7.360161173841764,"quality":"auspicious"},{"name":"Roga","start":"07:22","end":"09:02","startHours":7.360161173841764,"endHours":9.028121539582557,"quality":"inauspicious"},{"name":"Udveg","start":"09:02","end":"10:42","startHours":9.028121539582557,"endHours":10.696081905323348,"quality":"inauspicious"},{"name":"Chala","start":"10:42","end":"12:22","startHours":10.696081905323348,"endHours":12.36404227106414,"quality":"neutral"},{"name":"Labha","start":"12:22","end":"14:02","startHours":12.36404227106414,"endHours":14.032002636804933,"quality":"auspicious"},{"name":"Amṛta","start":"14:02","end":"15:42","startHours":14.032002636804933,"endHours":15.699963002545726,"quality":"auspicious"},{"name":"Kāla","start":"15:42","end":"17:22","startHours":15.699963002545726,"endHours":17.367923368286515,"quality":"inauspicious"},{"name":"Śubha","start":"17:22","end":"19:02","startHours":17.367923368286515,"endHours":19.03588373402731,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"19:02","end":"20:22","startHours":19.03588373402731,"endHours":20.367923368286515,"quality":"auspicious"},{"name":"Kāla","start":"20:22","end":"21:42","startHours":20.367923368286515,"endHours":21.699963002545722,"quality":"inauspicious"},{"name":"Śubha","start":"21:42","end":"23:02","startHours":21.699963002545722,"endHours":23.032002636804933,"quality":"auspicious"},{"name":"Roga","start":"23:02","end":"00:22","startHours":23.032002636804933,"endHours":24.36404227106414,"quality":"inauspicious"},{"name":"Udveg","start":"00:22","end":"01:42","startHours":24.36404227106414,"endHours":25.696081905323346,"quality":"inauspicious"},{"name":"Chala","start":"01:42","end":"03:02","startHours":25.696081905323346,"endHours":27.028121539582557,"quality":"neutral"},{"name":"Labha","start":"03:02","end":"04:22","startHours":27.028121539582557,"endHours":28.360161173841764,"quality":"auspicious"},{"name":"Amṛta","start":"04:22","end":"05:42","startHours":28.360161173841764,"endHours":29.69220080810097,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:42","end":"06:42","startHours":5.692200808100972,"endHours":6.692200808100972,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:42","end":"07:42","startHours":6.692200808100972,"endHours":7.692200808100972,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:42","end":"08:42","startHours":7.692200808100972,"endHours":8.69220080810097,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:42","end":"09:42","startHours":8.69220080810097,"endHours":9.69220080810097,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:42","end":"10:42","startHours":9.69220080810097,"endHours":10.69220080810097,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:42","end":"11:42","startHours":10.69220080810097,"endHours":11.69220080810097,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:42","end":"12:42","startHours":11.69220080810097,"endHours":12.69220080810097,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:42","end":"13:42","startHours":12.69220080810097,"endHours":13.69220080810097,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:42","end":"14:42","startHours":13.69220080810097,"endHours":14.69220080810097,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:42","end":"15:42","startHours":14.69220080810097,"endHours":15.69220080810097,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:42","end":"16:42","startHours":15.69220080810097,"endHours":16.69220080810097,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:42","end":"17:42","startHours":16.69220080810097,"endHours":17.69220080810097,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:42","end":"18:42","startHours":17.69220080810097,"endHours":18.69220080810097,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:42","end":"19:42","startHours":18.69220080810097,"endHours":19.69220080810097,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:42","end":"20:42","startHours":19.69220080810097,"endHours":20.69220080810097,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:42","end":"21:42","startHours":20.69220080810097,"endHours":21.69220080810097,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:42","end":"22:42","startHours":21.69220080810097,"endHours":22.69220080810097,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:42","end":"23:42","startHours":22.69220080810097,"endHours":23.69220080810097,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:42","end":"00:42","startHours":23.69220080810097,"endHours":24.69220080810097,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:42","end":"01:42","startHours":24.69220080810097,"endHours":25.69220080810097,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:42","end":"02:42","startHours":25.69220080810097,"endHours":26.69220080810097,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:42","end":"03:42","startHours":26.69220080810097,"endHours":27.69220080810097,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:42","end":"04:42","startHours":27.69220080810097,"endHours":28.69220080810097,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:42","end":"05:42","startHours":28.69220080810097,"endHours":29.69220080810097,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"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":"South (Dakṣiṇa)","chandraVasa":"South-West","rahuVasa":"North-West","anandadiYoga":{"name":"Rākṣasa","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":16.874475851023945,"eotMinutes":-2.537336263848294,"ayanamsa":-48.7787}},"calendars":{"vikram_samvat":-3143,"saka_samvat":-3278,"bengali_samvat":-3793,"malayalam_era":-4024,"nanakshahi_year":-4669,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","lunar_month_amanta":"Kārtika","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Daśamī · Vikram -3143 undefined · Śaka -3278 undefined"},"festivals":[],"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":true,"location_specific":"mathura"},"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, 3201 BCE · Mathurā · Vidhyamitra","description":"August 22, 3201 BCE for Mathurā: Kṛṣṇa Daśamī, sūryodaya 05:42, sūryāsta 19:02.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3200-08-22","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3200-08-22","sa":"https://sa.vidhyamitra.com/city/mathura/-3200-08-22","hi":"https://hi.vidhyamitra.com/city/mathura/-3200-08-22","x-default":"https://vidhyamitra.com/city/mathura/-3200-08-22"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-14T00:44:18.968Z","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":"2026-08-14T00:44:18.968Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-14T00:44:18.968Z","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"}}}