{"id":"vidhyamitra:city-day:mathura:-3221-07-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3221-07-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3221-07-29","date_display":"July 29, 3222 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":-3221,"month":7,"day":29,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":544796.770833,"kali_year":-119,"ahargana":-43668.7292,"sun":{"sidereal_longitude":157.6461,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":246.8121,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":89.166,"elapsed_within_tithi_degrees":5.166},"nakshatra":{"number":19,"name":"Mūla","pada":3,"moon_longitude":246.8121,"elapsed_within_degrees":6.8121},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":44.4582},"karana":{"half_tithi_index":14,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":-3221,"month":7,"day":29,"hour":6,"minute":30,"calendar":"julian"},"julian_day":544796.770833,"ahargana":-43668.7292,"kali_year":-119,"ayanamsa_lahiri":-49.073,"grahas":{"sun":{"sidereal_longitude":157.6461,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":246.8121,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false,"latitude":-4.4937},"mars":{"sidereal_longitude":154.4734,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":176.4593,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":329.001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":189.9089,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":329.4501,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":333.7794,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":153.7794,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"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":-3221,"month":7,"day":29,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":544796.770833,"kali_year":-119,"ahargana":-43668.7292,"sun":{"sidereal_longitude":157.6461,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":246.8121,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":89.166,"elapsed_within_tithi_degrees":5.166},"nakshatra":{"number":19,"name":"Mūla","pada":3,"moon_longitude":246.8121,"elapsed_within_degrees":6.8121},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":44.4582},"karana":{"half_tithi_index":14,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.494,"elongation":89.166},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.494,"opposition_distance":90.834}},"eclipse_window_40days":[{"offset_days":8,"type":"lunar","occurs":true,"moon_latitude":0.857,"opposition_distance":1.156}]},"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":"05:32","sunsetLocal":"19:19","solarNoonLocal":"12:25","dayLengthHours":13.769221858983974,"dayLengthDisplay":"13 Hours 46 Mins 09 Secs","nightLengthDisplay":"10 Hours 13 Mins 51 Secs","moonriseLocal":"12:34","moonsetLocal":"00:10","rahuKala":{"name":"Rāhu Kāla","start":"15:52","end":"17:35","startHours":15.866519738171766,"endHours":17.587672470544764,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:59","end":"10:42","startHours":8.98190880867978,"endHours":10.703061541052776,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:25","end":"14:09","startHours":12.424214273425772,"endHours":14.14536700579877,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:45","end":"09:13","startHours":8.752421777696714,"endHours":9.211395839662845,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:07","end":"06:29","startHours":6.113320921391452,"endHours":6.4805001709643575,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:53","startHours":11.965240211459639,"endHours":12.883188335391905,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:42","end":"04:37","startHours":3.703707096069256,"endHours":4.6216552200015215,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:24","end":"05:32","startHours":4.392168189018455,"endHours":5.539603343933786,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:43","end":"15:38","startHours":14.719084583256434,"endHours":15.637032707188698,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:07","end":"19:31","startHours":19.10882520291776,"endHours":19.50882520291776,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:19","end":"19:53","startHours":19.30882520291776,"endHours":19.882542780375424,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:04","end":"20:49","startHours":19.05882520291776,"endHours":20.80882520291776,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:53","startHours":23.96524021145964,"endHours":24.883188335391903,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:32","end":"07:16","startHours":5.539603343933786,"endHours":7.260756076306783,"quality":"inauspicious"},{"name":"Udveg","start":"07:16","end":"08:59","startHours":7.260756076306783,"endHours":8.98190880867978,"quality":"inauspicious"},{"name":"Chala","start":"08:59","end":"10:42","startHours":8.98190880867978,"endHours":10.703061541052776,"quality":"neutral"},{"name":"Labha","start":"10:42","end":"12:25","startHours":10.703061541052776,"endHours":12.424214273425772,"quality":"auspicious"},{"name":"Amṛta","start":"12:25","end":"14:09","startHours":12.424214273425772,"endHours":14.14536700579877,"quality":"auspicious"},{"name":"Kāla","start":"14:09","end":"15:52","startHours":14.14536700579877,"endHours":15.866519738171766,"quality":"inauspicious"},{"name":"Śubha","start":"15:52","end":"17:35","startHours":15.866519738171766,"endHours":17.587672470544764,"quality":"auspicious"},{"name":"Roga","start":"17:35","end":"19:19","startHours":17.587672470544764,"endHours":19.30882520291776,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:19","end":"20:35","startHours":19.30882520291776,"endHours":20.587672470544764,"quality":"inauspicious"},{"name":"Śubha","start":"20:35","end":"21:52","startHours":20.587672470544764,"endHours":21.866519738171768,"quality":"auspicious"},{"name":"Roga","start":"21:52","end":"23:09","startHours":21.866519738171768,"endHours":23.145367005798768,"quality":"inauspicious"},{"name":"Udveg","start":"23:09","end":"00:25","startHours":23.145367005798768,"endHours":24.424214273425772,"quality":"inauspicious"},{"name":"Chala","start":"00:25","end":"01:42","startHours":24.424214273425772,"endHours":25.703061541052776,"quality":"neutral"},{"name":"Labha","start":"01:42","end":"02:59","startHours":25.703061541052776,"endHours":26.98190880867978,"quality":"auspicious"},{"name":"Amṛta","start":"02:59","end":"04:16","startHours":26.98190880867978,"endHours":28.260756076306784,"quality":"auspicious"},{"name":"Kāla","start":"04:16","end":"05:32","startHours":28.260756076306784,"endHours":29.539603343933784,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:32","end":"06:32","startHours":5.539603343933786,"endHours":6.539603343933786,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:32","end":"07:32","startHours":6.539603343933786,"endHours":7.539603343933786,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:32","end":"08:32","startHours":7.539603343933786,"endHours":8.539603343933786,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:32","end":"09:32","startHours":8.539603343933786,"endHours":9.539603343933786,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:32","end":"10:32","startHours":9.539603343933786,"endHours":10.539603343933786,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:32","end":"11:32","startHours":10.539603343933786,"endHours":11.539603343933786,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:32","end":"12:32","startHours":11.539603343933786,"endHours":12.539603343933786,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:32","end":"13:32","startHours":12.539603343933786,"endHours":13.539603343933786,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:32","end":"14:32","startHours":13.539603343933786,"endHours":14.539603343933786,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:32","end":"15:32","startHours":14.539603343933786,"endHours":15.539603343933786,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:32","end":"16:32","startHours":15.539603343933786,"endHours":16.539603343933784,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:32","end":"17:32","startHours":16.539603343933784,"endHours":17.539603343933784,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:32","end":"18:32","startHours":17.539603343933784,"endHours":18.539603343933784,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:32","end":"19:32","startHours":18.539603343933784,"endHours":19.539603343933784,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:32","end":"20:32","startHours":19.539603343933784,"endHours":20.539603343933784,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:32","end":"21:32","startHours":20.539603343933784,"endHours":21.539603343933784,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:32","end":"22:32","startHours":21.539603343933784,"endHours":22.539603343933784,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:32","end":"23:32","startHours":22.539603343933784,"endHours":23.539603343933784,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:32","end":"00:32","startHours":23.539603343933784,"endHours":24.539603343933784,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:32","end":"01:32","startHours":24.539603343933784,"endHours":25.539603343933784,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:32","end":"02:32","startHours":25.539603343933784,"endHours":26.539603343933784,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:32","end":"03:32","startHours":26.539603343933784,"endHours":27.539603343933784,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:32","end":"04:32","startHours":27.539603343933784,"endHours":28.539603343933784,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:32","end":"05:32","startHours":28.539603343933784,"endHours":29.539603343933784,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"North","anandadiYoga":{"name":"Sushira","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":22.14907904009867,"eotMinutes":-6.147656405546237,"ayanamsa":-49.073}},"calendars":{"vikram_samvat":-3164,"saka_samvat":-3299,"bengali_samvat":-3814,"malayalam_era":-4045,"nanakshahi_year":-4690,"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 Aṣṭamī · Vikram -3164 undefined · Śaka -3299 undefined"},"festivals":[{"id":"durga-ashtami","name":"Mahā-Aṣṭamī (Durgā-Aṣṭamī)","name_sanskrit":"महाष्टमी","tradition":"Shakta","associated_deity":"Devī Durgā","significance":"8th day of Śāradīya Navrātri; Mahiṣāsura-mardinī kṣaṇa.","vrata":true,"detection":{"tithi_number":8,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":1}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Dedicated festival walk for Mahā-Aṣṭamī (Durgā-Aṣṭamī) is not live yet; Maṅgalavāra (Tuesday) — 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 July 29, 3222 BCE · Mathurā · Vidhyamitra","description":"July 29, 3222 BCE for Mathurā: Śukla Aṣṭamī, sūryodaya 05:32, sūryāsta 19:19.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3221-07-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3221-07-29","sa":"https://sa.vidhyamitra.com/city/mathura/-3221-07-29","hi":"https://hi.vidhyamitra.com/city/mathura/-3221-07-29","x-default":"https://vidhyamitra.com/city/mathura/-3221-07-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-06T12:10:41.078Z","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":"2026-09-06T12:10:41.078Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-06T12:10:41.078Z","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"}}}