{"id":"vidhyamitra:city-day:mathura:-3221-07-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3221-07-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3221-07-21","date_display":"July 21, 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":21,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":544788.770833,"kali_year":-119,"ahargana":-43676.7292,"sun":{"sidereal_longitude":149.8353,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":145.3565,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":355.5211,"elapsed_within_tithi_degrees":7.5211},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4,"moon_longitude":145.3565,"elapsed_within_degrees":12.0232},"yoga":{"number":23,"name":"Śubha","sum_longitude":295.1918},"karana":{"half_tithi_index":59,"name":"Nāga"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":21,"hour":6,"minute":30,"calendar":"julian"},"julian_day":544788.770833,"ahargana":-43676.7292,"kali_year":-119,"ayanamsa_lahiri":-49.0733,"grahas":{"sun":{"sidereal_longitude":149.8353,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":145.3565,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false,"latitude":0.6914},"mars":{"sidereal_longitude":149.3873,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":162.8034,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":330.1387,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":180.1465,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":330.1287,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":334.2033,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":154.2033,"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":21,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":544788.770833,"kali_year":-119,"ahargana":-43676.7292,"sun":{"sidereal_longitude":149.8353,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":145.3565,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":355.5211,"elapsed_within_tithi_degrees":7.5211},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4,"moon_longitude":145.3565,"elapsed_within_degrees":12.0232},"yoga":{"number":23,"name":"Śubha","sum_longitude":295.1918},"karana":{"half_tithi_index":59,"name":"Nāga"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.691,"elongation":4.479},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.691,"opposition_distance":175.521}},"eclipse_window_40days":[{"offset_days":16,"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":"05:30","sunsetLocal":"19:21","solarNoonLocal":"12:25","dayLengthHours":13.841342442090173,"dayLengthDisplay":"13 Hours 50 Mins 29 Secs","nightLengthDisplay":"10 Hours 09 Mins 31 Secs","moonriseLocal":"05:13","moonsetLocal":"19:02","rahuKala":{"name":"Rāhu Kāla","start":"07:14","end":"08:58","startHours":7.232079974804251,"endHours":8.962247780065523,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:42","end":"12:25","startHours":10.692415585326795,"endHours":12.422583390588066,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:09","end":"15:53","startHours":14.152751195849337,"endHours":15.88291900111061,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:44","end":"09:12","startHours":8.73155873936402,"endHours":9.192936820767025,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:05","end":"06:27","startHours":6.078634771296737,"endHours":6.447737236419141,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:53","startHours":11.961205309185061,"endHours":12.883961471991071,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:39","end":"04:35","startHours":3.6563998439309566,"endHours":4.579156006736968,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:21","end":"05:30","startHours":4.348466966035465,"endHours":5.50191216954298,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:44","end":"15:39","startHours":14.729473797603095,"endHours":15.652229960409107,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:09","end":"19:33","startHours":19.143254611633154,"endHours":19.543254611633152,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:21","end":"19:55","startHours":19.343254611633153,"endHours":19.91997721338691,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:06","end":"20:51","startHours":19.093254611633153,"endHours":20.843254611633153,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:53","startHours":23.96120530918506,"endHours":24.88396147199107,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:30","end":"07:14","startHours":5.50191216954298,"endHours":7.232079974804251,"quality":"auspicious"},{"name":"Kāla","start":"07:14","end":"08:58","startHours":7.232079974804251,"endHours":8.962247780065523,"quality":"inauspicious"},{"name":"Śubha","start":"08:58","end":"10:42","startHours":8.962247780065523,"endHours":10.692415585326795,"quality":"auspicious"},{"name":"Roga","start":"10:42","end":"12:25","startHours":10.692415585326795,"endHours":12.422583390588066,"quality":"inauspicious"},{"name":"Udveg","start":"12:25","end":"14:09","startHours":12.422583390588066,"endHours":14.152751195849337,"quality":"inauspicious"},{"name":"Chala","start":"14:09","end":"15:53","startHours":14.152751195849337,"endHours":15.88291900111061,"quality":"neutral"},{"name":"Labha","start":"15:53","end":"17:37","startHours":15.88291900111061,"endHours":17.613086806371882,"quality":"auspicious"},{"name":"Amṛta","start":"17:37","end":"19:21","startHours":17.613086806371882,"endHours":19.343254611633153,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:21","end":"20:37","startHours":19.343254611633153,"endHours":20.613086806371882,"quality":"neutral"},{"name":"Labha","start":"20:37","end":"21:53","startHours":20.613086806371882,"endHours":21.882919001110608,"quality":"auspicious"},{"name":"Amṛta","start":"21:53","end":"23:09","startHours":21.882919001110608,"endHours":23.152751195849337,"quality":"auspicious"},{"name":"Kāla","start":"23:09","end":"00:25","startHours":23.152751195849337,"endHours":24.422583390588066,"quality":"inauspicious"},{"name":"Śubha","start":"00:25","end":"01:42","startHours":24.422583390588066,"endHours":25.692415585326795,"quality":"auspicious"},{"name":"Roga","start":"01:42","end":"02:58","startHours":25.692415585326795,"endHours":26.962247780065525,"quality":"inauspicious"},{"name":"Udveg","start":"02:58","end":"04:14","startHours":26.962247780065525,"endHours":28.23207997480425,"quality":"inauspicious"},{"name":"Chala","start":"04:14","end":"05:30","startHours":28.23207997480425,"endHours":29.50191216954298,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:30","end":"06:30","startHours":5.50191216954298,"endHours":6.50191216954298,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:30","end":"07:30","startHours":6.50191216954298,"endHours":7.50191216954298,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:30","end":"08:30","startHours":7.50191216954298,"endHours":8.50191216954298,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:30","end":"09:30","startHours":8.50191216954298,"endHours":9.50191216954298,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:30","end":"10:30","startHours":9.50191216954298,"endHours":10.50191216954298,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:30","end":"11:30","startHours":10.50191216954298,"endHours":11.50191216954298,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:30","end":"12:30","startHours":11.50191216954298,"endHours":12.50191216954298,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:30","end":"13:30","startHours":12.50191216954298,"endHours":13.50191216954298,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:30","end":"14:30","startHours":13.50191216954298,"endHours":14.50191216954298,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:30","end":"15:30","startHours":14.50191216954298,"endHours":15.50191216954298,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:30","end":"16:30","startHours":15.50191216954298,"endHours":16.50191216954298,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:30","end":"17:30","startHours":16.50191216954298,"endHours":17.50191216954298,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:30","end":"18:30","startHours":17.50191216954298,"endHours":18.50191216954298,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:30","end":"19:30","startHours":18.50191216954298,"endHours":19.50191216954298,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:30","end":"20:30","startHours":19.50191216954298,"endHours":20.50191216954298,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:30","end":"21:30","startHours":20.50191216954298,"endHours":21.50191216954298,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:30","end":"22:30","startHours":21.50191216954298,"endHours":22.50191216954298,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:30","end":"23:30","startHours":22.50191216954298,"endHours":23.50191216954298,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:30","end":"00:30","startHours":23.50191216954298,"endHours":24.50191216954298,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:30","end":"01:30","startHours":24.50191216954298,"endHours":25.50191216954298,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:30","end":"02:30","startHours":25.50191216954298,"endHours":26.50191216954298,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:30","end":"03:30","startHours":26.50191216954298,"endHours":27.50191216954298,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:30","end":"04:30","startHours":27.50191216954298,"endHours":28.50191216954298,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:30","end":"05:30","startHours":28.50191216954298,"endHours":29.50191216954298,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"West","rahuVasa":"North-East","anandadiYoga":{"name":"Lumba","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":23.000357279234954,"eotMinutes":-6.049803435283957,"ayanamsa":-49.0733}},"calendars":{"vikram_samvat":-3164,"saka_samvat":-3299,"bengali_samvat":-3814,"malayalam_era":-4045,"nanakshahi_year":-4690,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Bhādrapada","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 Amāvasyā · Vikram -3164 undefined · Śaka -3299 undefined"},"festivals":[{"id":"kanya-sankranti","name":"Kanyā Saṅkrānti (Mahālaya begins)","name_sanskrit":"कन्या सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Virgo; Mahālaya / Pitṛ-Pakṣa solar marker.","vrata":false,"detection":{"sun_rashi_ingress":"Kanyā"},"precedence":4}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7, 6.34-35.","step_count":5,"url":"/walk/chandra-walk","steps":[{"label":"BG 6.5","url":"/bhagavad-gita/6/5","purpose":"Lift the self by the Self; begin the walk with inner responsibility."},{"label":"BG 6.6","url":"/bhagavad-gita/6/6","purpose":"See the mind as friend when mastered and enemy when unmastered."},{"label":"BG 6.7","url":"/bhagavad-gita/6/7","purpose":"Stabilize the conquered mind in heat/cold, honor/dishonor, pleasure/pain."},{"label":"BG 6.34","url":"/bhagavad-gita/6/34","purpose":"Name the restless mind honestly before trying to discipline it."},{"label":"BG 6.35","url":"/bhagavad-gita/6/35","purpose":"Complete with abhyāsa and vairāgya: practice and detachment."}]},"reason":"Dedicated festival walk for Kanyā Saṅkrānti (Mahālaya begins) is not live yet; Somavāra (Monday) — 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 21, 3222 BCE · Mathurā · Vidhyamitra","description":"July 21, 3222 BCE for Mathurā: Kṛṣṇa Amāvasyā, sūryodaya 05:30, sūryāsta 19:21.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3221-07-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3221-07-21","sa":"https://sa.vidhyamitra.com/city/mathura/-3221-07-21","hi":"https://hi.vidhyamitra.com/city/mathura/-3221-07-21","x-default":"https://vidhyamitra.com/city/mathura/-3221-07-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-08T04:31:22.729Z","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":"2026-09-08T04:31:22.729Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-08T04:31:22.729Z","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"}}}