{"id":"vidhyamitra:city-day:mathura:-3200-05-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3200-05-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3200-05-20","date_display":"May 20, 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":5,"day":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":552397.770833,"kali_year":-98,"ahargana":-36067.7292,"sun":{"sidereal_longitude":90.9779,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":324.6603,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":233.6823,"elapsed_within_tithi_degrees":5.6823},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2,"moon_longitude":324.6603,"elapsed_within_degrees":4.6603},"yoga":{"number":5,"name":"Śobhana","sum_longitude":55.6382},"karana":{"half_tithi_index":38,"name":"Kaulava"},"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":-3200,"month":5,"day":20,"hour":6,"minute":30,"calendar":"julian"},"julian_day":552397.770833,"ahargana":-36067.7292,"kali_year":-98,"ayanamsa_lahiri":-48.7823,"grahas":{"sun":{"sidereal_longitude":90.9779,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"moon":{"sidereal_longitude":324.6603,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false,"latitude":2.4897},"mars":{"sidereal_longitude":142.7369,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":73.9525,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":230.1767,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":124.3596,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":231.1465,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":291.0419,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":111.0419,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2},"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":5,"day":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":552397.770833,"kali_year":-98,"ahargana":-36067.7292,"sun":{"sidereal_longitude":90.9779,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":324.6603,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":233.6823,"elapsed_within_tithi_degrees":5.6823},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2,"moon_longitude":324.6603,"elapsed_within_degrees":4.6603},"yoga":{"number":5,"name":"Śobhana","sum_longitude":55.6382},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.49,"elongation":126.318},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.49,"opposition_distance":53.682}},"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":"05:39","sunsetLocal":"18:53","solarNoonLocal":"12:16","dayLengthHours":13.237419041805262,"dayLengthDisplay":"13 Hours 14 Mins 15 Secs","nightLengthDisplay":"10 Hours 45 Mins 45 Secs","moonriseLocal":"22:39","moonsetLocal":"09:02","rahuKala":{"name":"Rāhu Kāla","start":"07:18","end":"08:57","startHours":7.297749309053272,"endHours":8.95242668927893,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:36","end":"12:16","startHours":10.607104069504588,"endHours":12.261781449730247,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:55","end":"15:34","startHours":13.916458829955904,"endHours":15.571136210181562,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:44","end":"09:10","startHours":8.731803038582175,"endHours":9.173050339975685,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:12","end":"06:33","startHours":6.1946310555695,"endHours":6.547628896684308,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:42","startHours":11.820534148336739,"endHours":12.703028751123755,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:53","end":"04:46","startHours":3.8780827232535797,"endHours":4.760577326040597,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:32","end":"05:39","startHours":4.539953675343843,"endHours":5.643071928827615,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:28","end":"15:21","startHours":14.468017956697791,"endHours":15.350512559484809,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:41","end":"19:05","startHours":18.680490970632878,"endHours":19.080490970632876,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:53","end":"19:26","startHours":18.880490970632877,"endHours":19.432050097374763,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:38","end":"20:23","startHours":18.630490970632877,"endHours":20.380490970632877,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:42","startHours":23.820534148336737,"endHours":24.703028751123757,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:39","end":"07:18","startHours":5.643071928827615,"endHours":7.297749309053272,"quality":"auspicious"},{"name":"Kāla","start":"07:18","end":"08:57","startHours":7.297749309053272,"endHours":8.95242668927893,"quality":"inauspicious"},{"name":"Śubha","start":"08:57","end":"10:36","startHours":8.95242668927893,"endHours":10.607104069504588,"quality":"auspicious"},{"name":"Roga","start":"10:36","end":"12:16","startHours":10.607104069504588,"endHours":12.261781449730247,"quality":"inauspicious"},{"name":"Udveg","start":"12:16","end":"13:55","startHours":12.261781449730247,"endHours":13.916458829955904,"quality":"inauspicious"},{"name":"Chala","start":"13:55","end":"15:34","startHours":13.916458829955904,"endHours":15.571136210181562,"quality":"neutral"},{"name":"Labha","start":"15:34","end":"17:14","startHours":15.571136210181562,"endHours":17.22581359040722,"quality":"auspicious"},{"name":"Amṛta","start":"17:14","end":"18:53","startHours":17.22581359040722,"endHours":18.880490970632877,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:53","end":"20:14","startHours":18.880490970632877,"endHours":20.22581359040722,"quality":"neutral"},{"name":"Labha","start":"20:14","end":"21:34","startHours":20.22581359040722,"endHours":21.57113621018156,"quality":"auspicious"},{"name":"Amṛta","start":"21:34","end":"22:55","startHours":21.57113621018156,"endHours":22.916458829955904,"quality":"auspicious"},{"name":"Kāla","start":"22:55","end":"00:16","startHours":22.916458829955904,"endHours":24.261781449730247,"quality":"inauspicious"},{"name":"Śubha","start":"00:16","end":"01:36","startHours":24.261781449730247,"endHours":25.607104069504587,"quality":"auspicious"},{"name":"Roga","start":"01:36","end":"02:57","startHours":25.607104069504587,"endHours":26.95242668927893,"quality":"inauspicious"},{"name":"Udveg","start":"02:57","end":"04:18","startHours":26.95242668927893,"endHours":28.297749309053273,"quality":"inauspicious"},{"name":"Chala","start":"04:18","end":"05:39","startHours":28.297749309053273,"endHours":29.643071928827617,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:39","end":"06:39","startHours":5.643071928827615,"endHours":6.643071928827615,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:39","end":"07:39","startHours":6.643071928827615,"endHours":7.643071928827615,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:39","end":"08:39","startHours":7.643071928827615,"endHours":8.643071928827615,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:39","end":"09:39","startHours":8.643071928827615,"endHours":9.643071928827615,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:39","end":"10:39","startHours":9.643071928827615,"endHours":10.643071928827615,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:39","end":"11:39","startHours":10.643071928827615,"endHours":11.643071928827615,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:39","end":"12:39","startHours":11.643071928827615,"endHours":12.643071928827615,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:39","end":"13:39","startHours":12.643071928827615,"endHours":13.643071928827615,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:39","end":"14:39","startHours":13.643071928827615,"endHours":14.643071928827615,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:39","end":"15:39","startHours":14.643071928827615,"endHours":15.643071928827615,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:39","end":"16:39","startHours":15.643071928827615,"endHours":16.643071928827617,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:39","end":"17:39","startHours":16.643071928827617,"endHours":17.643071928827617,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:39","end":"18:39","startHours":17.643071928827617,"endHours":18.643071928827617,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:39","end":"19:39","startHours":18.643071928827617,"endHours":19.643071928827617,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:39","end":"20:39","startHours":19.643071928827617,"endHours":20.643071928827617,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:39","end":"21:39","startHours":20.643071928827617,"endHours":21.643071928827617,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:39","end":"22:39","startHours":21.643071928827617,"endHours":22.643071928827617,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:39","end":"23:39","startHours":22.643071928827617,"endHours":23.643071928827617,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:39","end":"00:39","startHours":23.643071928827617,"endHours":24.643071928827617,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:39","end":"01:39","startHours":24.643071928827617,"endHours":25.643071928827617,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:39","end":"02:39","startHours":25.643071928827617,"endHours":26.643071928827617,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:39","end":"03:39","startHours":26.643071928827617,"endHours":27.643071928827617,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:39","end":"04:39","startHours":27.643071928827617,"endHours":28.643071928827617,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:39","end":"05:39","startHours":28.643071928827617,"endHours":29.643071928827617,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":15.49429681121223,"eotMinutes":3.5983130161851964,"ayanamsa":-48.7823}},"calendars":{"vikram_samvat":-3143,"saka_samvat":-3278,"bengali_samvat":-3793,"malayalam_era":-4024,"nanakshahi_year":-4669,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Pañcamī · Vikram -3143 undefined · Śaka -3278 undefined"},"festivals":[],"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":"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 May 20, 3201 BCE · Mathurā · Vidhyamitra","description":"May 20, 3201 BCE for Mathurā: Kṛṣṇa Pañcamī, sūryodaya 05:39, sūryāsta 18:53.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3200-05-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3200-05-20","sa":"https://sa.vidhyamitra.com/city/mathura/-3200-05-20","hi":"https://hi.vidhyamitra.com/city/mathura/-3200-05-20","x-default":"https://vidhyamitra.com/city/mathura/-3200-05-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-11T17:17:38.488Z","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":"2026-09-11T17:17:38.488Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-11T17:17:38.488Z","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"}}}