{"id":"vidhyamitra:city-day:mathura:-3207-08-19:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3207-08-19","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3207-08-19","date_display":"August 19, 3208 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":-3207,"month":8,"day":19,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":549931.770833,"kali_year":-105,"ahargana":-38533.7292,"sun":{"sidereal_longitude":178.7338,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":220.9793,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":42.2456,"elapsed_within_tithi_degrees":6.2456},"nakshatra":{"number":17,"name":"Anurādhā","pada":3,"moon_longitude":220.9793,"elapsed_within_degrees":7.646},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":39.7131},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":-3207,"month":8,"day":19,"hour":6,"minute":30,"calendar":"julian"},"julian_day":549931.770833,"ahargana":-38533.7292,"kali_year":-105,"ayanamsa_lahiri":-48.8766,"grahas":{"sun":{"sidereal_longitude":178.7338,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":220.9793,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false,"latitude":1.5909},"mars":{"sidereal_longitude":289.8962,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":192.2501,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":51.6317,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":true},"venus":{"sidereal_longitude":180.9465,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":162.7048,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":61.7024,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":241.7024,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":"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":-3207,"month":8,"day":19,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":549931.770833,"kali_year":-105,"ahargana":-38533.7292,"sun":{"sidereal_longitude":178.7338,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":220.9793,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":42.2456,"elapsed_within_tithi_degrees":6.2456},"nakshatra":{"number":17,"name":"Anurādhā","pada":3,"moon_longitude":220.9793,"elapsed_within_degrees":7.646},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":39.7131},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.591,"elongation":42.246},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.591,"opposition_distance":137.754}},"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":"05:40","sunsetLocal":"19:05","solarNoonLocal":"12:23","dayLengthHours":13.414210815391733,"dayLengthDisplay":"13 Hours 24 Mins 51 Secs","nightLengthDisplay":"10 Hours 35 Mins 09 Secs","moonriseLocal":"09:02","moonsetLocal":"21:21","rahuKala":{"name":"Rāhu Kāla","start":"09:01","end":"10:42","startHours":9.023091772924193,"endHours":10.699868124848159,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:03","end":"15:44","startHours":14.05342082869609,"endHours":15.73019718062006,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:40","end":"07:21","startHours":5.669539069076259,"endHours":7.3463154210002255,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:48","end":"09:15","startHours":8.799521592667663,"endHours":9.246661953180721,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:14","end":"06:35","startHours":6.228464519717581,"endHours":6.586176808128027,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:49","startHours":11.929504116259066,"endHours":12.823784837285183,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:53","end":"04:47","startHours":3.880977627024028,"endHours":4.775258348050143,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:33","end":"05:40","startHours":4.551688167793614,"endHours":5.669539069076259,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:37","end":"15:30","startHours":14.612346279337416,"endHours":15.506627000363531,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:53","end":"19:17","startHours":18.883749884467992,"endHours":19.28374988446799,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:05","end":"19:39","startHours":19.08374988446799,"endHours":19.642675335109313,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:50","end":"20:35","startHours":18.83374988446799,"endHours":20.58374988446799,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:49","startHours":23.929504116259068,"endHours":24.82378483728518,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:40","end":"07:21","startHours":5.669539069076259,"endHours":7.3463154210002255,"quality":"inauspicious"},{"name":"Śubha","start":"07:21","end":"09:01","startHours":7.3463154210002255,"endHours":9.023091772924193,"quality":"auspicious"},{"name":"Roga","start":"09:01","end":"10:42","startHours":9.023091772924193,"endHours":10.699868124848159,"quality":"inauspicious"},{"name":"Udveg","start":"10:42","end":"12:23","startHours":10.699868124848159,"endHours":12.376644476772125,"quality":"inauspicious"},{"name":"Chala","start":"12:23","end":"14:03","startHours":12.376644476772125,"endHours":14.05342082869609,"quality":"neutral"},{"name":"Labha","start":"14:03","end":"15:44","startHours":14.05342082869609,"endHours":15.73019718062006,"quality":"auspicious"},{"name":"Amṛta","start":"15:44","end":"17:24","startHours":15.73019718062006,"endHours":17.406973532544026,"quality":"auspicious"},{"name":"Kāla","start":"17:24","end":"19:05","startHours":17.406973532544026,"endHours":19.08374988446799,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:05","end":"20:24","startHours":19.08374988446799,"endHours":20.406973532544026,"quality":"auspicious"},{"name":"Amṛta","start":"20:24","end":"21:44","startHours":20.406973532544026,"endHours":21.73019718062006,"quality":"auspicious"},{"name":"Kāla","start":"21:44","end":"23:03","startHours":21.73019718062006,"endHours":23.05342082869609,"quality":"inauspicious"},{"name":"Śubha","start":"23:03","end":"00:23","startHours":23.05342082869609,"endHours":24.376644476772125,"quality":"auspicious"},{"name":"Roga","start":"00:23","end":"01:42","startHours":24.376644476772125,"endHours":25.69986812484816,"quality":"inauspicious"},{"name":"Udveg","start":"01:42","end":"03:01","startHours":25.69986812484816,"endHours":27.02309177292419,"quality":"inauspicious"},{"name":"Chala","start":"03:01","end":"04:21","startHours":27.02309177292419,"endHours":28.346315421000224,"quality":"neutral"},{"name":"Labha","start":"04:21","end":"05:40","startHours":28.346315421000224,"endHours":29.669539069076258,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:40","end":"06:40","startHours":5.669539069076259,"endHours":6.669539069076259,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:40","end":"07:40","startHours":6.669539069076259,"endHours":7.669539069076259,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:40","end":"08:40","startHours":7.669539069076259,"endHours":8.669539069076258,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:40","end":"09:40","startHours":8.669539069076258,"endHours":9.669539069076258,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:40","end":"10:40","startHours":9.669539069076258,"endHours":10.669539069076258,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:40","end":"11:40","startHours":10.669539069076258,"endHours":11.669539069076258,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:40","end":"12:40","startHours":11.669539069076258,"endHours":12.669539069076258,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:40","end":"13:40","startHours":12.669539069076258,"endHours":13.669539069076258,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:40","end":"14:40","startHours":13.669539069076258,"endHours":14.669539069076258,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:40","end":"15:40","startHours":14.669539069076258,"endHours":15.669539069076258,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:40","end":"16:40","startHours":15.669539069076258,"endHours":16.669539069076258,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:40","end":"17:40","startHours":16.669539069076258,"endHours":17.669539069076258,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:40","end":"18:40","startHours":17.669539069076258,"endHours":18.669539069076258,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:40","end":"19:40","startHours":18.669539069076258,"endHours":19.669539069076258,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:40","end":"20:40","startHours":19.669539069076258,"endHours":20.669539069076258,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:40","end":"21:40","startHours":20.669539069076258,"endHours":21.669539069076258,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:40","end":"22:40","startHours":21.669539069076258,"endHours":22.669539069076258,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:40","end":"23:40","startHours":22.669539069076258,"endHours":23.669539069076258,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:40","end":"00:40","startHours":23.669539069076258,"endHours":24.669539069076258,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:40","end":"01:40","startHours":24.669539069076258,"endHours":25.669539069076258,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:40","end":"02:40","startHours":25.669539069076258,"endHours":26.669539069076258,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:40","end":"03:40","startHours":26.669539069076258,"endHours":27.669539069076258,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:40","end":"04:40","startHours":27.669539069076258,"endHours":28.669539069076258,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:40","end":"05:40","startHours":28.669539069076258,"endHours":29.669539069076258,"planetary_lord":"Mercury"}],"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","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-East","rahuVasa":"East","anandadiYoga":{"name":"Mānasa","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":17.77723505277224,"eotMinutes":-3.2934686063275223,"ayanamsa":-48.8766}},"calendars":{"vikram_samvat":-3150,"saka_samvat":-3285,"bengali_samvat":-3800,"malayalam_era":-4031,"nanakshahi_year":-4676,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Caturthī · Vikram -3150 undefined · Śaka -3285 undefined"},"festivals":[{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Dedicated festival walk for Vināyaka Caturthī (monthly) is not live yet; Śanivāra (Saturday) — 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 19, 3208 BCE · Mathurā · Vidhyamitra","description":"August 19, 3208 BCE for Mathurā: Śukla Caturthī, sūryodaya 05:40, sūryāsta 19:05.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3207-08-19","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3207-08-19","sa":"https://sa.vidhyamitra.com/city/mathura/-3207-08-19","hi":"https://hi.vidhyamitra.com/city/mathura/-3207-08-19","x-default":"https://vidhyamitra.com/city/mathura/-3207-08-19"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-10T11:20:28.863Z","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":"2026-09-10T11:20:28.863Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-10T11:20:28.863Z","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":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","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"}}}