{"id":"vidhyamitra:city-day:mathura:-3225-05-26:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3225-05-26","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3225-05-26","date_display":"May 26, 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":26,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":543271.770833,"kali_year":-123,"ahargana":-45193.7292,"sun":{"sidereal_longitude":96.1626,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":314.6269,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":218.4643,"elapsed_within_tithi_degrees":2.4643},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3,"moon_longitude":314.6269,"elapsed_within_degrees":7.9603},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":50.7896},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":26,"hour":6,"minute":30,"calendar":"julian"},"julian_day":543271.770833,"ahargana":-45193.7292,"kali_year":-123,"ayanamsa_lahiri":-49.1313,"grahas":{"sun":{"sidereal_longitude":96.1626,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"moon":{"sidereal_longitude":314.6269,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false,"latitude":-4.4321},"mars":{"sidereal_longitude":90.5146,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":98.8521,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":189.4938,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":51.0321,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":282.2254,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":54.5813,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":234.5813,"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":26,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":543271.770833,"kali_year":-123,"ahargana":-45193.7292,"sun":{"sidereal_longitude":96.1626,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":314.6269,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":218.4643,"elapsed_within_tithi_degrees":2.4643},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3,"moon_longitude":314.6269,"elapsed_within_degrees":7.9603},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":50.7896},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.432,"elongation":141.536},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.432,"opposition_distance":38.464}},"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":"05:36","sunsetLocal":"18:57","solarNoonLocal":"12:16","dayLengthHours":13.34719655587071,"dayLengthDisplay":"13 Hours 20 Mins 50 Secs","nightLengthDisplay":"10 Hours 39 Mins 10 Secs","moonriseLocal":"21:39","moonsetLocal":"08:01","rahuKala":{"name":"Rāhu Kāla","start":"12:16","end":"13:56","startHours":12.269804433524676,"endHours":13.938204003008515,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:16","end":"08:56","startHours":7.264605725073161,"endHours":8.933005294556999,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:36","end":"12:16","startHours":10.601404864040838,"endHours":12.269804433524676,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:43","end":"09:09","startHours":8.71055201862582,"endHours":9.155458570488179,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:09","end":"06:30","startHours":6.152339345417269,"endHours":6.5082645869071545,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:43","startHours":11.82489788166232,"endHours":12.714710985387033,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:49","end":"04:42","startHours":3.8165799481398945,"endHours":4.706393051864608,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:29","end":"05:36","startHours":4.48393977593343,"endHours":5.596206155589322,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:30","end":"15:23","startHours":14.494337192836461,"endHours":15.384150296561176,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:45","end":"19:09","startHours":18.743402711460032,"endHours":19.14340271146003,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:57","end":"19:30","startHours":18.94340271146003,"endHours":19.499535901287977,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:42","end":"20:27","startHours":18.69340271146003,"endHours":20.44340271146003,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:43","startHours":23.82489788166232,"endHours":24.714710985387033,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:36","end":"07:16","startHours":5.596206155589322,"endHours":7.264605725073161,"quality":"auspicious"},{"name":"Amṛta","start":"07:16","end":"08:56","startHours":7.264605725073161,"endHours":8.933005294556999,"quality":"auspicious"},{"name":"Kāla","start":"08:56","end":"10:36","startHours":8.933005294556999,"endHours":10.601404864040838,"quality":"inauspicious"},{"name":"Śubha","start":"10:36","end":"12:16","startHours":10.601404864040838,"endHours":12.269804433524676,"quality":"auspicious"},{"name":"Roga","start":"12:16","end":"13:56","startHours":12.269804433524676,"endHours":13.938204003008515,"quality":"inauspicious"},{"name":"Udveg","start":"13:56","end":"15:36","startHours":13.938204003008515,"endHours":15.606603572492354,"quality":"inauspicious"},{"name":"Chala","start":"15:36","end":"17:17","startHours":15.606603572492354,"endHours":17.275003141976192,"quality":"neutral"},{"name":"Labha","start":"17:17","end":"18:57","startHours":17.275003141976192,"endHours":18.94340271146003,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:57","end":"20:17","startHours":18.94340271146003,"endHours":20.275003141976192,"quality":"inauspicious"},{"name":"Chala","start":"20:17","end":"21:36","startHours":20.275003141976192,"endHours":21.606603572492354,"quality":"neutral"},{"name":"Labha","start":"21:36","end":"22:56","startHours":21.606603572492354,"endHours":22.938204003008515,"quality":"auspicious"},{"name":"Amṛta","start":"22:56","end":"00:16","startHours":22.938204003008515,"endHours":24.269804433524676,"quality":"auspicious"},{"name":"Kāla","start":"00:16","end":"01:36","startHours":24.269804433524676,"endHours":25.601404864040838,"quality":"inauspicious"},{"name":"Śubha","start":"01:36","end":"02:56","startHours":25.601404864040838,"endHours":26.933005294557,"quality":"auspicious"},{"name":"Roga","start":"02:56","end":"04:16","startHours":26.933005294557,"endHours":28.26460572507316,"quality":"inauspicious"},{"name":"Udveg","start":"04:16","end":"05:36","startHours":28.26460572507316,"endHours":29.59620615558932,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:36","end":"06:36","startHours":5.596206155589322,"endHours":6.596206155589322,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:36","end":"07:36","startHours":6.596206155589322,"endHours":7.596206155589322,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:36","end":"08:36","startHours":7.596206155589322,"endHours":8.596206155589321,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:36","end":"09:36","startHours":8.596206155589321,"endHours":9.596206155589321,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:36","end":"10:36","startHours":9.596206155589321,"endHours":10.596206155589321,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:36","end":"11:36","startHours":10.596206155589321,"endHours":11.596206155589321,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:36","end":"12:36","startHours":11.596206155589321,"endHours":12.596206155589321,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:36","end":"13:36","startHours":12.596206155589321,"endHours":13.596206155589321,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:36","end":"14:36","startHours":13.596206155589321,"endHours":14.596206155589321,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:36","end":"15:36","startHours":14.596206155589321,"endHours":15.596206155589321,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:36","end":"16:36","startHours":15.596206155589321,"endHours":16.59620615558932,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:36","end":"17:36","startHours":16.59620615558932,"endHours":17.59620615558932,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:36","end":"18:36","startHours":17.59620615558932,"endHours":18.59620615558932,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:36","end":"19:36","startHours":18.59620615558932,"endHours":19.59620615558932,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:36","end":"20:36","startHours":19.59620615558932,"endHours":20.59620615558932,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:36","end":"21:36","startHours":20.59620615558932,"endHours":21.59620615558932,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:36","end":"22:36","startHours":21.59620615558932,"endHours":22.59620615558932,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:36","end":"23:36","startHours":22.59620615558932,"endHours":23.59620615558932,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:36","end":"00:36","startHours":23.59620615558932,"endHours":24.59620615558932,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:36","end":"01:36","startHours":24.59620615558932,"endHours":25.59620615558932,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:36","end":"02:36","startHours":25.59620615558932,"endHours":26.59620615558932,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:36","end":"03:36","startHours":26.59620615558932,"endHours":27.59620615558932,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:36","end":"04:36","startHours":27.59620615558932,"endHours":28.59620615558932,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:36","end":"05:36","startHours":28.59620615558932,"endHours":29.59620615558932,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"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":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Śrīvatsa","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":16.919705332252853,"eotMinutes":3.1169339885193827,"ayanamsa":-49.1313}},"calendars":{"vikram_samvat":-3168,"saka_samvat":-3303,"bengali_samvat":-3818,"malayalam_era":-4049,"nanakshahi_year":-4694,"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 Caturthī · Vikram -3168 undefined · Śaka -3303 undefined"},"festivals":[{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Dedicated festival walk for Saṅkaṣṭī Caturthī is not live yet; Budhavāra (Wednesday) — 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 26, 3226 BCE · Mathurā · Vidhyamitra","description":"May 26, 3226 BCE for Mathurā: Kṛṣṇa Caturthī, sūryodaya 05:36, sūryāsta 18:57.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3225-05-26","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3225-05-26","sa":"https://sa.vidhyamitra.com/city/mathura/-3225-05-26","hi":"https://hi.vidhyamitra.com/city/mathura/-3225-05-26","x-default":"https://vidhyamitra.com/city/mathura/-3225-05-26"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T14:26:39.540Z","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":"2026-08-10T14:26:39.540Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T14:26:39.540Z","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"}}}