{"id":"vidhyamitra:city-day:mathura:-3225-05-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3225-05-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3225-05-16","date_display":"May 16, 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":16,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":543261.770833,"kali_year":-123,"ahargana":-45203.7292,"sun":{"sidereal_longitude":86.6858,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":175.7424,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":89.0566,"elapsed_within_tithi_degrees":5.0566},"nakshatra":{"number":14,"name":"Citrā","pada":1,"moon_longitude":175.7424,"elapsed_within_degrees":2.4091},"yoga":{"number":20,"name":"Śiva","sum_longitude":262.4282},"karana":{"half_tithi_index":14,"name":"Viṣṭi"},"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":-3225,"month":5,"day":16,"hour":6,"minute":30,"calendar":"julian"},"julian_day":543261.770833,"ahargana":-45203.7292,"kali_year":-123,"ayanamsa_lahiri":-49.1317,"grahas":{"sun":{"sidereal_longitude":86.6858,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"moon":{"sidereal_longitude":175.7424,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false,"latitude":3.8711},"mars":{"sidereal_longitude":83.974,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":80.3662,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":188.9211,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":43.2771,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":283.0192,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":55.1111,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":235.1111,"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":16,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":543261.770833,"kali_year":-123,"ahargana":-45203.7292,"sun":{"sidereal_longitude":86.6858,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":175.7424,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":89.0566,"elapsed_within_tithi_degrees":5.0566},"nakshatra":{"number":14,"name":"Citrā","pada":1,"moon_longitude":175.7424,"elapsed_within_degrees":2.4091},"yoga":{"number":20,"name":"Śiva","sum_longitude":262.4282},"karana":{"half_tithi_index":14,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.871,"elongation":89.057},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.871,"opposition_distance":90.943}},"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":"05:42","sunsetLocal":"18:49","solarNoonLocal":"12:16","dayLengthHours":13.126522454694225,"dayLengthDisplay":"13 Hours 07 Mins 35 Secs","nightLengthDisplay":"10 Hours 52 Mins 25 Secs","moonriseLocal":"11:29","moonsetLocal":"00:55","rahuKala":{"name":"Rāhu Kāla","start":"17:11","end":"18:49","startHours":17.18181167119721,"endHours":18.822626978033988,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:16","end":"13:54","startHours":12.259365750686875,"endHours":13.900181057523653,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:32","end":"17:11","startHours":15.540996364360431,"endHours":17.18181167119721,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:46","end":"09:12","startHours":8.758959762768416,"endHours":9.196510511258223,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:15","end":"06:36","startHours":6.243042958952023,"endHours":6.593083557743869,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:42","startHours":11.821815002197068,"endHours":12.696916499176682,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:57","end":"04:49","startHours":3.9459015293805333,"endHours":4.821003026360149,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:36","end":"05:42","startHours":4.6022276521152445,"endHours":5.696104523339764,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:27","end":"15:19","startHours":14.447119493135915,"endHours":15.32222099011553,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:37","end":"19:01","startHours":18.62262697803399,"endHours":19.022626978033987,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:49","end":"19:22","startHours":18.822626978033988,"endHours":19.369565413646246,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:34","end":"20:19","startHours":18.572626978033988,"endHours":20.322626978033988,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:42","startHours":23.821815002197066,"endHours":24.696916499176684,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:42","end":"07:20","startHours":5.696104523339764,"endHours":7.336919830176542,"quality":"inauspicious"},{"name":"Chala","start":"07:20","end":"08:59","startHours":7.336919830176542,"endHours":8.977735137013319,"quality":"neutral"},{"name":"Labha","start":"08:59","end":"10:37","startHours":8.977735137013319,"endHours":10.618550443850097,"quality":"auspicious"},{"name":"Amṛta","start":"10:37","end":"12:16","startHours":10.618550443850097,"endHours":12.259365750686875,"quality":"auspicious"},{"name":"Kāla","start":"12:16","end":"13:54","startHours":12.259365750686875,"endHours":13.900181057523653,"quality":"inauspicious"},{"name":"Śubha","start":"13:54","end":"15:32","startHours":13.900181057523653,"endHours":15.540996364360431,"quality":"auspicious"},{"name":"Roga","start":"15:32","end":"17:11","startHours":15.540996364360431,"endHours":17.18181167119721,"quality":"inauspicious"},{"name":"Udveg","start":"17:11","end":"18:49","startHours":17.18181167119721,"endHours":18.822626978033988,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:49","end":"20:11","startHours":18.822626978033988,"endHours":20.18181167119721,"quality":"auspicious"},{"name":"Roga","start":"20:11","end":"21:32","startHours":20.18181167119721,"endHours":21.54099636436043,"quality":"inauspicious"},{"name":"Udveg","start":"21:32","end":"22:54","startHours":21.54099636436043,"endHours":22.900181057523653,"quality":"inauspicious"},{"name":"Chala","start":"22:54","end":"00:16","startHours":22.900181057523653,"endHours":24.259365750686875,"quality":"neutral"},{"name":"Labha","start":"00:16","end":"01:37","startHours":24.259365750686875,"endHours":25.618550443850097,"quality":"auspicious"},{"name":"Amṛta","start":"01:37","end":"02:59","startHours":25.618550443850097,"endHours":26.97773513701332,"quality":"auspicious"},{"name":"Kāla","start":"02:59","end":"04:20","startHours":26.97773513701332,"endHours":28.33691983017654,"quality":"inauspicious"},{"name":"Śubha","start":"04:20","end":"05:42","startHours":28.33691983017654,"endHours":29.696104523339763,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:42","end":"06:42","startHours":5.696104523339764,"endHours":6.696104523339764,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:42","end":"07:42","startHours":6.696104523339764,"endHours":7.696104523339764,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:42","end":"08:42","startHours":7.696104523339764,"endHours":8.696104523339763,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:42","end":"09:42","startHours":8.696104523339763,"endHours":9.696104523339763,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:42","end":"10:42","startHours":9.696104523339763,"endHours":10.696104523339763,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:42","end":"11:42","startHours":10.696104523339763,"endHours":11.696104523339763,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:42","end":"12:42","startHours":11.696104523339763,"endHours":12.696104523339763,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:42","end":"13:42","startHours":12.696104523339763,"endHours":13.696104523339763,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:42","end":"14:42","startHours":13.696104523339763,"endHours":14.696104523339763,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:42","end":"15:42","startHours":14.696104523339763,"endHours":15.696104523339763,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:42","end":"16:42","startHours":15.696104523339763,"endHours":16.696104523339763,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:42","end":"17:42","startHours":16.696104523339763,"endHours":17.696104523339763,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:42","end":"18:42","startHours":17.696104523339763,"endHours":18.696104523339763,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:42","end":"19:42","startHours":18.696104523339763,"endHours":19.696104523339763,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:42","end":"20:42","startHours":19.696104523339763,"endHours":20.696104523339763,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:42","end":"21:42","startHours":20.696104523339763,"endHours":21.696104523339763,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:42","end":"22:42","startHours":21.696104523339763,"endHours":22.696104523339763,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:42","end":"23:42","startHours":22.696104523339763,"endHours":23.696104523339763,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:42","end":"00:42","startHours":23.696104523339763,"endHours":24.696104523339763,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:42","end":"01:42","startHours":24.696104523339763,"endHours":25.696104523339763,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:42","end":"02:42","startHours":25.696104523339763,"endHours":26.696104523339763,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:42","end":"03:42","startHours":26.696104523339763,"endHours":27.696104523339763,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:42","end":"04:42","startHours":27.696104523339763,"endHours":28.696104523339763,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:42","end":"05:42","startHours":28.696104523339763,"endHours":29.696104523339763,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"West (Paścim)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Padma","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":14.029533905775022,"eotMinutes":3.743254958787478,"ayanamsa":-49.1317}},"calendars":{"vikram_samvat":-3168,"saka_samvat":-3303,"bengali_samvat":-3818,"malayalam_era":-4049,"nanakshahi_year":-4694,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla 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 Śukla Aṣṭamī · Vikram -3168 undefined · Śaka -3303 undefined"},"festivals":[],"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":"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 May 16, 3226 BCE · Mathurā · Vidhyamitra","description":"May 16, 3226 BCE for Mathurā: Śukla Aṣṭamī, sūryodaya 05:42, sūryāsta 18:49.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3225-05-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3225-05-16","sa":"https://sa.vidhyamitra.com/city/mathura/-3225-05-16","hi":"https://hi.vidhyamitra.com/city/mathura/-3225-05-16","x-default":"https://vidhyamitra.com/city/mathura/-3225-05-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T13:10:28.631Z","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":"2026-08-10T13:10:28.631Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T13:10:28.631Z","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"}}}