{"id":"vidhyamitra:city-day:mathura:-0478-05-12:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-0478-05-12","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0478-05-12","date_display":"May 12, 479 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":-478,"month":5,"day":12,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1546599.770833,"kali_year":2624,"ahargana":958134.2708,"sun":{"sidereal_longitude":60.3595,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":235.8716,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":175.5121,"elapsed_within_tithi_degrees":7.5121},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3,"moon_longitude":235.8716,"elapsed_within_degrees":9.2049},"yoga":{"number":23,"name":"Śubha","sum_longitude":296.2311},"karana":{"half_tithi_index":29,"name":"Bava"},"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":-478,"month":5,"day":12,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1546599.770833,"ahargana":958134.2708,"kali_year":2624,"ayanamsa_lahiri":-10.7578,"grahas":{"sun":{"sidereal_longitude":60.3595,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":235.8716,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false,"latitude":3.9884},"mars":{"sidereal_longitude":213.8371,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":true},"mercury":{"sidereal_longitude":58.7979,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":53.6842,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":48.4724,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":356.389,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":173.4355,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":353.4355,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","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":-478,"month":5,"day":12,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1546599.770833,"kali_year":2624,"ahargana":958134.2708,"sun":{"sidereal_longitude":60.3595,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":235.8716,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":175.5121,"elapsed_within_tithi_degrees":7.5121},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3,"moon_longitude":235.8716,"elapsed_within_degrees":9.2049},"yoga":{"number":23,"name":"Śubha","sum_longitude":296.2311},"karana":{"half_tithi_index":29,"name":"Bava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.988,"elongation":175.512},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.988,"opposition_distance":4.488}},"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":"05:33","sunsetLocal":"18:58","solarNoonLocal":"12:16","dayLengthHours":13.402778330538126,"dayLengthDisplay":"13 Hours 24 Mins 10 Secs","nightLengthDisplay":"10 Hours 35 Mins 50 Secs","moonriseLocal":"18:30","moonsetLocal":"05:25","rahuKala":{"name":"Rāhu Kāla","start":"17:17","end":"18:58","startHours":17.28550221262399,"endHours":18.960849503941255,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:16","end":"13:56","startHours":12.259460338672191,"endHours":13.934807629989457,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:37","end":"17:17","startHours":15.610154921306723,"endHours":17.28550221262399,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:41","end":"09:08","startHours":8.685386117195357,"endHours":9.132145394879961,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:07","end":"06:28","startHours":6.116520270508882,"endHours":6.473927692656566,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:42","startHours":11.812701060987587,"endHours":12.706219616356796,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:46","end":"04:40","startHours":3.7710340626647105,"endHours":4.664552618033919,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:26","end":"05:33","startHours":4.441172979191617,"endHours":5.558071173403127,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:30","end":"15:23","startHours":14.493256727095211,"endHours":15.38677528246442,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:46","end":"19:10","startHours":18.760849503941255,"endHours":19.160849503941254,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:58","end":"19:31","startHours":18.960849503941255,"endHours":19.51929860104701,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:43","end":"20:28","startHours":18.710849503941255,"endHours":20.460849503941255,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:42","startHours":23.81270106098759,"endHours":24.706219616356794,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:33","end":"07:14","startHours":5.558071173403127,"endHours":7.233418464720393,"quality":"inauspicious"},{"name":"Chala","start":"07:14","end":"08:55","startHours":7.233418464720393,"endHours":8.90876575603766,"quality":"neutral"},{"name":"Labha","start":"08:55","end":"10:35","startHours":8.90876575603766,"endHours":10.584113047354926,"quality":"auspicious"},{"name":"Amṛta","start":"10:35","end":"12:16","startHours":10.584113047354926,"endHours":12.259460338672191,"quality":"auspicious"},{"name":"Kāla","start":"12:16","end":"13:56","startHours":12.259460338672191,"endHours":13.934807629989457,"quality":"inauspicious"},{"name":"Śubha","start":"13:56","end":"15:37","startHours":13.934807629989457,"endHours":15.610154921306723,"quality":"auspicious"},{"name":"Roga","start":"15:37","end":"17:17","startHours":15.610154921306723,"endHours":17.28550221262399,"quality":"inauspicious"},{"name":"Udveg","start":"17:17","end":"18:58","startHours":17.28550221262399,"endHours":18.960849503941255,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:58","end":"20:17","startHours":18.960849503941255,"endHours":20.28550221262399,"quality":"auspicious"},{"name":"Roga","start":"20:17","end":"21:37","startHours":20.28550221262399,"endHours":21.610154921306723,"quality":"inauspicious"},{"name":"Udveg","start":"21:37","end":"22:56","startHours":21.610154921306723,"endHours":22.934807629989457,"quality":"inauspicious"},{"name":"Chala","start":"22:56","end":"00:16","startHours":22.934807629989457,"endHours":24.25946033867219,"quality":"neutral"},{"name":"Labha","start":"00:16","end":"01:35","startHours":24.25946033867219,"endHours":25.584113047354926,"quality":"auspicious"},{"name":"Amṛta","start":"01:35","end":"02:55","startHours":25.584113047354926,"endHours":26.90876575603766,"quality":"auspicious"},{"name":"Kāla","start":"02:55","end":"04:14","startHours":26.90876575603766,"endHours":28.233418464720394,"quality":"inauspicious"},{"name":"Śubha","start":"04:14","end":"05:33","startHours":28.233418464720394,"endHours":29.55807117340313,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:33","end":"06:33","startHours":5.558071173403127,"endHours":6.558071173403127,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:33","end":"07:33","startHours":6.558071173403127,"endHours":7.558071173403127,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:33","end":"08:33","startHours":7.558071173403127,"endHours":8.558071173403128,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:33","end":"09:33","startHours":8.558071173403128,"endHours":9.558071173403128,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:33","end":"10:33","startHours":9.558071173403128,"endHours":10.558071173403128,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:33","end":"11:33","startHours":10.558071173403128,"endHours":11.558071173403128,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:33","end":"12:33","startHours":11.558071173403128,"endHours":12.558071173403128,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:33","end":"13:33","startHours":12.558071173403128,"endHours":13.558071173403128,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:33","end":"14:33","startHours":13.558071173403128,"endHours":14.558071173403128,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:33","end":"15:33","startHours":14.558071173403128,"endHours":15.558071173403128,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:33","end":"16:33","startHours":15.558071173403128,"endHours":16.55807117340313,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:33","end":"17:33","startHours":16.55807117340313,"endHours":17.55807117340313,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:33","end":"18:33","startHours":17.55807117340313,"endHours":18.55807117340313,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:33","end":"19:33","startHours":18.55807117340313,"endHours":19.55807117340313,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:33","end":"20:33","startHours":19.55807117340313,"endHours":20.55807117340313,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:33","end":"21:33","startHours":20.55807117340313,"endHours":21.55807117340313,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:33","end":"22:33","startHours":21.55807117340313,"endHours":22.55807117340313,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:33","end":"23:33","startHours":22.55807117340313,"endHours":23.55807117340313,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:33","end":"00:33","startHours":23.55807117340313,"endHours":24.55807117340313,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:33","end":"01:33","startHours":24.55807117340313,"endHours":25.55807117340313,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:33","end":"02:33","startHours":25.55807117340313,"endHours":26.55807117340313,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:33","end":"03:33","startHours":26.55807117340313,"endHours":27.55807117340313,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:33","end":"04:33","startHours":27.55807117340313,"endHours":28.55807117340313,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:33","end":"05:33","startHours":28.55807117340313,"endHours":29.55807117340313,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"North-East","rahuVasa":"North-East","anandadiYoga":{"name":"Kāṇa","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":17.631636151641114,"eotMinutes":3.7375796796685163,"ayanamsa":-10.7578}},"calendars":{"vikram_samvat":-421,"saka_samvat":-556,"bengali_samvat":-1071,"malayalam_era":-1302,"nanakshahi_year":-1947,"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 Pūrṇimā · Vikram -421 undefined · Śaka -556 undefined"},"festivals":[{"id":"guru-purnima","name":"Guru Pūrṇimā / Vyāsa Pūrṇimā","name_sanskrit":"गुरु पूर्णिमा / व्यास पूर्णिमा","tradition":"Pan-Hindu","associated_deity":"Vyāsa-jī","significance":"Honor Vyāsa-jī and all gurus.","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Āṣāḍha"},"precedence":1},{"id":"vyasa-purnima","name":"Vyāsa Pūrṇimā (= Guru Pūrṇimā)","name_sanskrit":"व्यास पूर्णिमा","tradition":"Pan-Hindu","associated_deity":"Veda-Vyāsa","significance":"Birth of Veda-Vyāsa; Mahābhārata-Purāṇa-vibhāga-kartā. = Guru Pūrṇimā.","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Āṣāḍha"},"precedence":1,"related_chart":"vyasa"}],"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 Guru Pūrṇimā / Vyāsa Pūrṇimā · Vyāsa Pūrṇimā (= Guru Pūrṇimā) 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 May 12, 479 BCE · Mathurā · Vidhyamitra","description":"May 12, 479 BCE for Mathurā: Śukla Pūrṇimā, sūryodaya 05:33, sūryāsta 18:58.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-0478-05-12","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-0478-05-12","sa":"https://sa.vidhyamitra.com/city/mathura/-0478-05-12","hi":"https://hi.vidhyamitra.com/city/mathura/-0478-05-12","x-default":"https://vidhyamitra.com/city/mathura/-0478-05-12"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-11T08:24:09.544Z","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":"2026-09-11T08:24:09.544Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-11T08:24:09.544Z","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"}}}