{"id":"vidhyamitra:city-day:mathura:-0461-05-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-0461-05-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0461-05-16","date_display":"May 16, 462 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":-461,"month":5,"day":16,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1552812.770833,"kali_year":2641,"ahargana":964347.2708,"sun":{"sidereal_longitude":63.7724,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":17.5774,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":313.805,"elapsed_within_tithi_degrees":1.805},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2,"moon_longitude":17.5774,"elapsed_within_degrees":4.244},"yoga":{"number":7,"name":"Sukarma","sum_longitude":81.3498},"karana":{"half_tithi_index":52,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":-461,"month":5,"day":16,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1552812.770833,"ahargana":964347.2708,"kali_year":2641,"ayanamsa_lahiri":-10.5201,"grahas":{"sun":{"sidereal_longitude":63.7724,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":17.5774,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false,"latitude":0.5216},"mars":{"sidereal_longitude":247.277,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":68.9952,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":211.2344,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":24.9019,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":210.0849,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":204.2408,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":24.2408,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"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":-461,"month":5,"day":16,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1552812.770833,"kali_year":2641,"ahargana":964347.2708,"sun":{"sidereal_longitude":63.7724,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":17.5774,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":313.805,"elapsed_within_tithi_degrees":1.805},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2,"moon_longitude":17.5774,"elapsed_within_degrees":4.244},"yoga":{"number":7,"name":"Sukarma","sum_longitude":81.3498},"karana":{"half_tithi_index":52,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.522,"elongation":46.195},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.522,"opposition_distance":133.805}},"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":"05:31","sunsetLocal":"19:00","solarNoonLocal":"12:16","dayLengthHours":13.47797470796226,"dayLengthDisplay":"13 Hours 28 Mins 41 Secs","nightLengthDisplay":"10 Hours 31 Mins 19 Secs","moonriseLocal":"03:02","moonsetLocal":"15:19","rahuKala":{"name":"Rāhu Kāla","start":"13:57","end":"15:38","startHours":13.944112589182158,"endHours":15.62885942767744,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:31","end":"07:12","startHours":5.5203783967057465,"endHours":7.205125235201029,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:53","end":"10:34","startHours":8.889872073696312,"endHours":10.574618912191593,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:40","end":"09:07","startHours":8.66523916189694,"endHours":9.114504985495682,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:05","end":"06:26","startHours":6.081960676204174,"endHours":6.441373335083168,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:43","startHours":11.810099927088133,"endHours":12.708631574285617,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:43","end":"04:37","startHours":3.723315102310779,"endHours":4.621846749508262,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:24","end":"05:31","startHours":4.397213837708891,"endHours":5.5203783967057465,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:30","end":"15:24","startHours":14.505694868680585,"endHours":15.404226515878069,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:48","end":"19:12","startHours":18.798353104668006,"endHours":19.198353104668005,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:00","end":"19:34","startHours":18.998353104668006,"endHours":19.559935384166433,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:45","end":"20:30","startHours":18.748353104668006,"endHours":20.498353104668006,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:43","startHours":23.81009992708813,"endHours":24.70863157428562,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:31","end":"07:12","startHours":5.5203783967057465,"endHours":7.205125235201029,"quality":"auspicious"},{"name":"Roga","start":"07:12","end":"08:53","startHours":7.205125235201029,"endHours":8.889872073696312,"quality":"inauspicious"},{"name":"Udveg","start":"08:53","end":"10:34","startHours":8.889872073696312,"endHours":10.574618912191593,"quality":"inauspicious"},{"name":"Chala","start":"10:34","end":"12:16","startHours":10.574618912191593,"endHours":12.259365750686875,"quality":"neutral"},{"name":"Labha","start":"12:16","end":"13:57","startHours":12.259365750686875,"endHours":13.944112589182158,"quality":"auspicious"},{"name":"Amṛta","start":"13:57","end":"15:38","startHours":13.944112589182158,"endHours":15.62885942767744,"quality":"auspicious"},{"name":"Kāla","start":"15:38","end":"17:19","startHours":15.62885942767744,"endHours":17.313606266172723,"quality":"inauspicious"},{"name":"Śubha","start":"17:19","end":"19:00","startHours":17.313606266172723,"endHours":18.998353104668006,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"19:00","end":"20:19","startHours":18.998353104668006,"endHours":20.313606266172723,"quality":"auspicious"},{"name":"Kāla","start":"20:19","end":"21:38","startHours":20.313606266172723,"endHours":21.62885942767744,"quality":"inauspicious"},{"name":"Śubha","start":"21:38","end":"22:57","startHours":21.62885942767744,"endHours":22.944112589182158,"quality":"auspicious"},{"name":"Roga","start":"22:57","end":"00:16","startHours":22.944112589182158,"endHours":24.259365750686875,"quality":"inauspicious"},{"name":"Udveg","start":"00:16","end":"01:34","startHours":24.259365750686875,"endHours":25.574618912191593,"quality":"inauspicious"},{"name":"Chala","start":"01:34","end":"02:53","startHours":25.574618912191593,"endHours":26.88987207369631,"quality":"neutral"},{"name":"Labha","start":"02:53","end":"04:12","startHours":26.88987207369631,"endHours":28.20512523520103,"quality":"auspicious"},{"name":"Amṛta","start":"04:12","end":"05:31","startHours":28.20512523520103,"endHours":29.520378396705745,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:31","end":"06:31","startHours":5.5203783967057465,"endHours":6.5203783967057465,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:31","end":"07:31","startHours":6.5203783967057465,"endHours":7.5203783967057465,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:31","end":"08:31","startHours":7.5203783967057465,"endHours":8.520378396705746,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:31","end":"09:31","startHours":8.520378396705746,"endHours":9.520378396705746,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:31","end":"10:31","startHours":9.520378396705746,"endHours":10.520378396705746,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:31","end":"11:31","startHours":10.520378396705746,"endHours":11.520378396705746,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:31","end":"12:31","startHours":11.520378396705746,"endHours":12.520378396705746,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:31","end":"13:31","startHours":12.520378396705746,"endHours":13.520378396705746,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:31","end":"14:31","startHours":13.520378396705746,"endHours":14.520378396705746,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:31","end":"15:31","startHours":14.520378396705746,"endHours":15.520378396705746,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:31","end":"16:31","startHours":15.520378396705746,"endHours":16.520378396705745,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:31","end":"17:31","startHours":16.520378396705745,"endHours":17.520378396705745,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:31","end":"18:31","startHours":17.520378396705745,"endHours":18.520378396705745,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:31","end":"19:31","startHours":18.520378396705745,"endHours":19.520378396705745,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:31","end":"20:31","startHours":19.520378396705745,"endHours":20.520378396705745,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:31","end":"21:31","startHours":20.520378396705745,"endHours":21.520378396705745,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:31","end":"22:31","startHours":21.520378396705745,"endHours":22.520378396705745,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:31","end":"23:31","startHours":22.520378396705745,"endHours":23.520378396705745,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:31","end":"00:31","startHours":23.520378396705745,"endHours":24.520378396705745,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:31","end":"01:31","startHours":24.520378396705745,"endHours":25.520378396705745,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:31","end":"02:31","startHours":25.520378396705745,"endHours":26.520378396705745,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:31","end":"03:31","startHours":26.520378396705745,"endHours":27.520378396705745,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:31","end":"04:31","startHours":27.520378396705745,"endHours":28.520378396705745,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:31","end":"05:31","startHours":28.520378396705745,"endHours":29.520378396705745,"planetary_lord":"Moon"}],"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":"South (Dakṣiṇa)","chandraVasa":"East","rahuVasa":"North-West","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":18.583974221543873,"eotMinutes":3.743254958787478,"ayanamsa":-10.5201}},"calendars":{"vikram_samvat":-404,"saka_samvat":-539,"bengali_samvat":-1054,"malayalam_era":-1285,"nanakshahi_year":-1930,"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 Dvādaśī · Vikram -404 undefined · Śaka -539 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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, 462 BCE · Mathurā · Vidhyamitra","description":"May 16, 462 BCE for Mathurā: Kṛṣṇa Dvādaśī, sūryodaya 05:31, sūryāsta 19:00.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-0461-05-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-0461-05-16","sa":"https://sa.vidhyamitra.com/city/mathura/-0461-05-16","hi":"https://hi.vidhyamitra.com/city/mathura/-0461-05-16","x-default":"https://vidhyamitra.com/city/mathura/-0461-05-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T13:15:56.172Z","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":"2026-08-10T13:15:56.172Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T13:15:56.172Z","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"}}}