{"id":"vidhyamitra:city-day:mathura:-3221-07-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3221-07-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3221-07-20","date_display":"July 20, 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":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":544787.770833,"kali_year":-119,"ahargana":-43677.7292,"sun":{"sidereal_longitude":148.862,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":131.2102,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":342.3482,"elapsed_within_tithi_degrees":6.3482},"nakshatra":{"number":10,"name":"Maghā","pada":4,"moon_longitude":131.2102,"elapsed_within_degrees":11.2102},"yoga":{"number":22,"name":"Sādhya","sum_longitude":280.0721},"karana":{"half_tithi_index":57,"name":"Śakuni"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":20,"hour":6,"minute":30,"calendar":"julian"},"julian_day":544787.770833,"ahargana":-43677.7292,"kali_year":-119,"ayanamsa_lahiri":-49.0733,"grahas":{"sun":{"sidereal_longitude":148.862,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":131.2102,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false,"latitude":1.7601},"mars":{"sidereal_longitude":148.7526,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":161.0474,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":330.2841,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":178.9257,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":330.2149,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":334.2563,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":154.2563,"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":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":544787.770833,"kali_year":-119,"ahargana":-43677.7292,"sun":{"sidereal_longitude":148.862,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":131.2102,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":342.3482,"elapsed_within_tithi_degrees":6.3482},"nakshatra":{"number":10,"name":"Maghā","pada":4,"moon_longitude":131.2102,"elapsed_within_degrees":11.2102},"yoga":{"number":22,"name":"Sādhya","sum_longitude":280.0721},"karana":{"half_tithi_index":57,"name":"Śakuni"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.76,"elongation":17.652},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.76,"opposition_distance":162.348}},"eclipse_window_40days":[{"offset_days":17,"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":13.847752214449763,"dayLengthDisplay":"13 Hours 50 Mins 52 Secs","nightLengthDisplay":"10 Hours 09 Mins 08 Secs","moonriseLocal":"04:20","moonsetLocal":"18:09","rahuKala":{"name":"Rāhu Kāla","start":"17:37","end":"19:21","startHours":17.614564100671284,"endHours":19.345533127477506,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:25","end":"14:09","startHours":12.421657020252624,"endHours":14.152626047058845,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:53","end":"17:37","startHours":15.883595073865065,"endHours":17.614564100671284,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:44","end":"09:11","startHours":8.728923096399354,"endHours":9.190514836881013,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:04","end":"06:27","startHours":6.074770588629816,"endHours":6.444043981015143,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:53","startHours":11.960065279770966,"endHours":12.883248760734283,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:39","end":"04:34","startHours":3.651413951101108,"endHours":4.574597432064426,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:21","end":"05:30","startHours":4.343801561823597,"endHours":5.497780913027743,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:44","end":"15:39","startHours":14.729615722660917,"endHours":15.652799203624234,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:09","end":"19:33","startHours":19.145533127477506,"endHours":19.545533127477505,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:21","end":"19:55","startHours":19.345533127477506,"endHours":19.92252280307958,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:06","end":"20:51","startHours":19.095533127477506,"endHours":20.845533127477506,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:53","startHours":23.960065279770966,"endHours":24.883248760734283,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:30","end":"07:14","startHours":5.497780913027743,"endHours":7.228749939833963,"quality":"inauspicious"},{"name":"Chala","start":"07:14","end":"08:58","startHours":7.228749939833963,"endHours":8.959718966640184,"quality":"neutral"},{"name":"Labha","start":"08:58","end":"10:41","startHours":8.959718966640184,"endHours":10.690687993446403,"quality":"auspicious"},{"name":"Amṛta","start":"10:41","end":"12:25","startHours":10.690687993446403,"endHours":12.421657020252624,"quality":"auspicious"},{"name":"Kāla","start":"12:25","end":"14:09","startHours":12.421657020252624,"endHours":14.152626047058845,"quality":"inauspicious"},{"name":"Śubha","start":"14:09","end":"15:53","startHours":14.152626047058845,"endHours":15.883595073865065,"quality":"auspicious"},{"name":"Roga","start":"15:53","end":"17:37","startHours":15.883595073865065,"endHours":17.614564100671284,"quality":"inauspicious"},{"name":"Udveg","start":"17:37","end":"19:21","startHours":17.614564100671284,"endHours":19.345533127477506,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"19:21","end":"20:37","startHours":19.345533127477506,"endHours":20.614564100671284,"quality":"auspicious"},{"name":"Roga","start":"20:37","end":"21:53","startHours":20.614564100671284,"endHours":21.883595073865067,"quality":"inauspicious"},{"name":"Udveg","start":"21:53","end":"23:09","startHours":21.883595073865067,"endHours":23.152626047058845,"quality":"inauspicious"},{"name":"Chala","start":"23:09","end":"00:25","startHours":23.152626047058845,"endHours":24.421657020252624,"quality":"neutral"},{"name":"Labha","start":"00:25","end":"01:41","startHours":24.421657020252624,"endHours":25.690687993446403,"quality":"auspicious"},{"name":"Amṛta","start":"01:41","end":"02:58","startHours":25.690687993446403,"endHours":26.95971896664018,"quality":"auspicious"},{"name":"Kāla","start":"02:58","end":"04:14","startHours":26.95971896664018,"endHours":28.228749939833964,"quality":"inauspicious"},{"name":"Śubha","start":"04:14","end":"05:30","startHours":28.228749939833964,"endHours":29.497780913027743,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:30","end":"06:30","startHours":5.497780913027743,"endHours":6.497780913027743,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:30","end":"07:30","startHours":6.497780913027743,"endHours":7.497780913027743,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:30","end":"08:30","startHours":7.497780913027743,"endHours":8.497780913027743,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:30","end":"09:30","startHours":8.497780913027743,"endHours":9.497780913027743,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:30","end":"10:30","startHours":9.497780913027743,"endHours":10.497780913027743,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:30","end":"11:30","startHours":10.497780913027743,"endHours":11.497780913027743,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:30","end":"12:30","startHours":11.497780913027743,"endHours":12.497780913027743,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:30","end":"13:30","startHours":12.497780913027743,"endHours":13.497780913027743,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:30","end":"14:30","startHours":13.497780913027743,"endHours":14.497780913027743,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:30","end":"15:30","startHours":14.497780913027743,"endHours":15.497780913027743,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:30","end":"16:30","startHours":15.497780913027743,"endHours":16.497780913027743,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:30","end":"17:30","startHours":16.497780913027743,"endHours":17.497780913027743,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:30","end":"18:30","startHours":17.497780913027743,"endHours":18.497780913027743,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:30","end":"19:30","startHours":18.497780913027743,"endHours":19.497780913027743,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:30","end":"20:30","startHours":19.497780913027743,"endHours":20.497780913027743,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:30","end":"21:30","startHours":20.497780913027743,"endHours":21.497780913027743,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:30","end":"22:30","startHours":21.497780913027743,"endHours":22.497780913027743,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:30","end":"23:30","startHours":22.497780913027743,"endHours":23.497780913027743,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:30","end":"00:30","startHours":23.497780913027743,"endHours":24.497780913027743,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:30","end":"01:30","startHours":24.497780913027743,"endHours":25.497780913027743,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:30","end":"02:30","startHours":25.497780913027743,"endHours":26.497780913027743,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:30","end":"03:30","startHours":26.497780913027743,"endHours":27.497780913027743,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:30","end":"04:30","startHours":27.497780913027743,"endHours":28.497780913027743,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:30","end":"05:30","startHours":28.497780913027743,"endHours":29.497780913027743,"planetary_lord":"Jupiter"}],"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","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"West","rahuVasa":"North-East","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":23.07539367465011,"eotMinutes":-5.99422121515736,"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 Caturdaśī · Vikram -3164 undefined · Śaka -3299 undefined"},"festivals":[{"id":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Dedicated festival walk for Māsika Śivarātri is not live yet; Ravivāra (Sunday) — 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 20, 3222 BCE · Mathurā · Vidhyamitra","description":"July 20, 3222 BCE for Mathurā: Kṛṣṇa Caturdaśī, sūryodaya 05:30, sūryāsta 19:21.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3221-07-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3221-07-20","sa":"https://sa.vidhyamitra.com/city/mathura/-3221-07-20","hi":"https://hi.vidhyamitra.com/city/mathura/-3221-07-20","x-default":"https://vidhyamitra.com/city/mathura/-3221-07-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-06T11:28:28.449Z","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":"2026-09-06T11:28:28.449Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-06T11:28:28.449Z","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"}}}