{"id":"vidhyamitra:city-day:mathura:-3225-05-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3225-05-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3225-05-04","date_display":"May 4, 3226 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":-3225,"month":5,"day":4,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":543249.770833,"kali_year":-123,"ahargana":-45215.7292,"sun":{"sidereal_longitude":75.3265,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":25.1161,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":309.7895,"elapsed_within_tithi_degrees":9.7895},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4,"moon_longitude":25.1161,"elapsed_within_degrees":11.7827},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":100.4426},"karana":{"half_tithi_index":51,"name":"Bālava"},"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":-3225,"month":5,"day":4,"hour":6,"minute":30,"calendar":"julian"},"julian_day":543249.770833,"ahargana":-45215.7292,"kali_year":-123,"ayanamsa_lahiri":-49.1321,"grahas":{"sun":{"sidereal_longitude":75.3265,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":25.1161,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false,"latitude":-2.291},"mars":{"sidereal_longitude":76.0284,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":59.5876,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":188.6278,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":36.3463,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":283.8761,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":55.7469,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":235.7469,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":-3225,"month":5,"day":4,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":543249.770833,"kali_year":-123,"ahargana":-45215.7292,"sun":{"sidereal_longitude":75.3265,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":25.1161,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":309.7895,"elapsed_within_tithi_degrees":9.7895},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4,"moon_longitude":25.1161,"elapsed_within_degrees":11.7827},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":100.4426},"karana":{"half_tithi_index":51,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.291,"elongation":50.21},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.291,"opposition_distance":129.79}},"eclipse_window_40days":[{"offset_days":-10,"type":"lunar","occurs":true,"moon_latitude":-0.846,"opposition_distance":1.261}]},"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":"05:51","sunsetLocal":"18:41","solarNoonLocal":"12:16","dayLengthHours":12.837840685515964,"dayLengthDisplay":"12 Hours 50 Mins 16 Secs","nightLengthDisplay":"11 Hours 09 Mins 44 Secs","moonriseLocal":"03:12","moonsetLocal":"14:38","rahuKala":{"name":"Rāhu Kāla","start":"15:29","end":"17:05","startHours":15.476905877744326,"endHours":17.081635963433822,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:03","end":"10:40","startHours":9.057985534986344,"endHours":10.66271562067584,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:16","end":"13:52","startHours":12.267445706365336,"endHours":13.872175792054833,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:51","end":"09:16","startHours":8.844021523561079,"endHours":9.27194954641161,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:23","end":"06:44","startHours":6.383435392170519,"endHours":6.7257778104509445,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:42","startHours":11.839517683514805,"endHours":12.695373729215868,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:08","end":"05:00","startHours":4.1368132722052255,"endHours":4.992669317906289,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:47","end":"05:51","startHours":4.778705306481023,"endHours":5.8485253636073535,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:24","end":"15:16","startHours":14.407085820617997,"endHours":15.26294186631906,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:29","end":"18:53","startHours":18.48636604912332,"endHours":18.886366049123318,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:41","end":"19:13","startHours":18.68636604912332,"endHours":19.221276077686483,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:26","end":"20:11","startHours":18.43636604912332,"endHours":20.18636604912332,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:42","startHours":23.839517683514803,"endHours":24.69537372921587,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:51","end":"07:27","startHours":5.8485253636073535,"endHours":7.453255449296849,"quality":"inauspicious"},{"name":"Udveg","start":"07:27","end":"09:03","startHours":7.453255449296849,"endHours":9.057985534986344,"quality":"inauspicious"},{"name":"Chala","start":"09:03","end":"10:40","startHours":9.057985534986344,"endHours":10.66271562067584,"quality":"neutral"},{"name":"Labha","start":"10:40","end":"12:16","startHours":10.66271562067584,"endHours":12.267445706365336,"quality":"auspicious"},{"name":"Amṛta","start":"12:16","end":"13:52","startHours":12.267445706365336,"endHours":13.872175792054833,"quality":"auspicious"},{"name":"Kāla","start":"13:52","end":"15:29","startHours":13.872175792054833,"endHours":15.476905877744326,"quality":"inauspicious"},{"name":"Śubha","start":"15:29","end":"17:05","startHours":15.476905877744326,"endHours":17.081635963433822,"quality":"auspicious"},{"name":"Roga","start":"17:05","end":"18:41","startHours":17.081635963433822,"endHours":18.68636604912332,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:41","end":"20:05","startHours":18.68636604912332,"endHours":20.081635963433822,"quality":"inauspicious"},{"name":"Śubha","start":"20:05","end":"21:29","startHours":20.081635963433822,"endHours":21.47690587774433,"quality":"auspicious"},{"name":"Roga","start":"21:29","end":"22:52","startHours":21.47690587774433,"endHours":22.872175792054833,"quality":"inauspicious"},{"name":"Udveg","start":"22:52","end":"00:16","startHours":22.872175792054833,"endHours":24.267445706365336,"quality":"inauspicious"},{"name":"Chala","start":"00:16","end":"01:40","startHours":24.267445706365336,"endHours":25.66271562067584,"quality":"neutral"},{"name":"Labha","start":"01:40","end":"03:03","startHours":25.66271562067584,"endHours":27.057985534986344,"quality":"auspicious"},{"name":"Amṛta","start":"03:03","end":"04:27","startHours":27.057985534986344,"endHours":28.45325544929685,"quality":"auspicious"},{"name":"Kāla","start":"04:27","end":"05:51","startHours":28.45325544929685,"endHours":29.848525363607354,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:51","end":"06:51","startHours":5.8485253636073535,"endHours":6.8485253636073535,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:51","end":"07:51","startHours":6.8485253636073535,"endHours":7.8485253636073535,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:51","end":"08:51","startHours":7.8485253636073535,"endHours":8.848525363607354,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:51","end":"09:51","startHours":8.848525363607354,"endHours":9.848525363607354,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:51","end":"10:51","startHours":9.848525363607354,"endHours":10.848525363607354,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:51","end":"11:51","startHours":10.848525363607354,"endHours":11.848525363607354,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:51","end":"12:51","startHours":11.848525363607354,"endHours":12.848525363607354,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:51","end":"13:51","startHours":12.848525363607354,"endHours":13.848525363607354,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:51","end":"14:51","startHours":13.848525363607354,"endHours":14.848525363607354,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:51","end":"15:51","startHours":14.848525363607354,"endHours":15.848525363607354,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:51","end":"16:51","startHours":15.848525363607354,"endHours":16.848525363607354,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:51","end":"17:51","startHours":16.848525363607354,"endHours":17.848525363607354,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:51","end":"18:51","startHours":17.848525363607354,"endHours":18.848525363607354,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:51","end":"19:51","startHours":18.848525363607354,"endHours":19.848525363607354,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:51","end":"20:51","startHours":19.848525363607354,"endHours":20.848525363607354,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:51","end":"21:51","startHours":20.848525363607354,"endHours":21.848525363607354,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:51","end":"22:51","startHours":21.848525363607354,"endHours":22.848525363607354,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:51","end":"23:51","startHours":22.848525363607354,"endHours":23.848525363607354,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:51","end":"00:51","startHours":23.848525363607354,"endHours":24.848525363607354,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:51","end":"01:51","startHours":24.848525363607354,"endHours":25.848525363607354,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:51","end":"02:51","startHours":25.848525363607354,"endHours":26.848525363607354,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:51","end":"03:51","startHours":26.848525363607354,"endHours":27.848525363607354,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:51","end":"04:51","startHours":27.848525363607354,"endHours":28.848525363607354,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:51","end":"05:51","startHours":28.848525363607354,"endHours":29.848525363607354,"planetary_lord":"Saturn"}],"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"North","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":10.111616620856427,"eotMinutes":3.258457618079846,"ayanamsa":-49.1321}},"calendars":{"vikram_samvat":-3168,"saka_samvat":-3303,"bengali_samvat":-3818,"malayalam_era":-4049,"nanakshahi_year":-4694,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Ekādaśī · Vikram -3168 undefined · Śaka -3303 undefined"},"festivals":[{"id":"yogini-ekadashi","name":"Yoginī Ekādaśī","name_sanskrit":"योगिनी एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Removes the curse of Kubera; equivalent to feeding 88,000 brāhmaṇas.","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","lunar_month":"Āṣāḍha"},"precedence":4},{"id":"kamika-ekadashi","name":"Kāmikā Ekādaśī","name_sanskrit":"कामिका एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"First Ekādaśī of Cāturmāsya; equivalent to gift of cow + svarṇa.","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","lunar_month":"Āṣāḍha"},"precedence":4},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5}],"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 Yoginī Ekādaśī · Kāmikā Ekādaśī · Ekādaśī 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 May 4, 3226 BCE · Mathurā · Vidhyamitra","description":"May 4, 3226 BCE for Mathurā: Kṛṣṇa Ekādaśī, sūryodaya 05:51, sūryāsta 18:41.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3225-05-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3225-05-04","sa":"https://sa.vidhyamitra.com/city/mathura/-3225-05-04","hi":"https://hi.vidhyamitra.com/city/mathura/-3225-05-04","x-default":"https://vidhyamitra.com/city/mathura/-3225-05-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T15:07:41.181Z","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":"2026-08-10T15:07:41.181Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T15:07:41.181Z","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":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","reader-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"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"}}}