{"id":"vidhyamitra:city-day:mathura:-0562-05-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-0562-05-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0562-05-16","date_display":"May 16, 563 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":-562,"month":5,"day":16,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1515922.770833,"kali_year":2540,"ahargana":927457.2708,"sun":{"sidereal_longitude":64.8471,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":307.342,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":242.4949,"elapsed_within_tithi_degrees":2.4949},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1,"moon_longitude":307.342,"elapsed_within_degrees":0.6753},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":12.1891},"karana":{"half_tithi_index":40,"name":"Gara"},"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":-562,"month":5,"day":16,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1515922.770833,"ahargana":927457.2708,"kali_year":2540,"ayanamsa_lahiri":-11.931,"grahas":{"sun":{"sidereal_longitude":64.8471,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":307.342,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false,"latitude":-3.5208},"mars":{"sidereal_longitude":31.0136,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":39.8175,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":30.5578,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":112.739,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":52.5148,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":358.8506,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":178.8506,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"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":-562,"month":5,"day":16,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1515922.770833,"kali_year":2540,"ahargana":927457.2708,"sun":{"sidereal_longitude":64.8471,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":307.342,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":242.4949,"elapsed_within_tithi_degrees":2.4949},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1,"moon_longitude":307.342,"elapsed_within_degrees":0.6753},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":12.1891},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.521,"elongation":117.505},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.521,"opposition_distance":62.495}},"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":13.471245032054846,"dayLengthDisplay":"13 Hours 28 Mins 16 Secs","nightLengthDisplay":"10 Hours 31 Mins 44 Secs","moonriseLocal":"23:09","moonsetLocal":"09:42","rahuKala":{"name":"Rāhu Kāla","start":"13:57","end":"15:38","startHours":13.94327137969373,"endHours":15.627177008700587,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:31","end":"07:12","startHours":5.523743234659452,"endHours":7.207648863666308,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:53","end":"10:35","startHours":8.891554492673164,"endHours":10.57546012168002,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:40","end":"09:07","startHours":8.667033742138916,"endHours":9.116075243207412,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:05","end":"06:27","startHours":6.085045110995071,"endHours":6.4442783118498665,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:43","startHours":11.81032424961838,"endHours":12.70840725175537,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:44","end":"04:38","startHours":3.727577230385473,"endHours":4.6256602325224625,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:24","end":"05:31","startHours":4.401139481988215,"endHours":5.523743234659452,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:30","end":"15:24","startHours":14.50457325602935,"endHours":15.402656258166338,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:48","end":"19:12","startHours":18.7949882667143,"endHours":19.194988266714297,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:00","end":"19:33","startHours":18.994988266714298,"endHours":19.556290143049917,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:45","end":"20:30","startHours":18.744988266714298,"endHours":20.494988266714298,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:43","startHours":23.81032424961838,"endHours":24.70840725175537,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:31","end":"07:12","startHours":5.523743234659452,"endHours":7.207648863666308,"quality":"auspicious"},{"name":"Roga","start":"07:12","end":"08:53","startHours":7.207648863666308,"endHours":8.891554492673164,"quality":"inauspicious"},{"name":"Udveg","start":"08:53","end":"10:35","startHours":8.891554492673164,"endHours":10.57546012168002,"quality":"inauspicious"},{"name":"Chala","start":"10:35","end":"12:16","startHours":10.57546012168002,"endHours":12.259365750686875,"quality":"neutral"},{"name":"Labha","start":"12:16","end":"13:57","startHours":12.259365750686875,"endHours":13.94327137969373,"quality":"auspicious"},{"name":"Amṛta","start":"13:57","end":"15:38","startHours":13.94327137969373,"endHours":15.627177008700587,"quality":"auspicious"},{"name":"Kāla","start":"15:38","end":"17:19","startHours":15.627177008700587,"endHours":17.311082637707443,"quality":"inauspicious"},{"name":"Śubha","start":"17:19","end":"19:00","startHours":17.311082637707443,"endHours":18.994988266714298,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"19:00","end":"20:19","startHours":18.994988266714298,"endHours":20.311082637707443,"quality":"auspicious"},{"name":"Kāla","start":"20:19","end":"21:38","startHours":20.311082637707443,"endHours":21.627177008700585,"quality":"inauspicious"},{"name":"Śubha","start":"21:38","end":"22:57","startHours":21.627177008700585,"endHours":22.94327137969373,"quality":"auspicious"},{"name":"Roga","start":"22:57","end":"00:16","startHours":22.94327137969373,"endHours":24.259365750686875,"quality":"inauspicious"},{"name":"Udveg","start":"00:16","end":"01:35","startHours":24.259365750686875,"endHours":25.57546012168002,"quality":"inauspicious"},{"name":"Chala","start":"01:35","end":"02:53","startHours":25.57546012168002,"endHours":26.891554492673166,"quality":"neutral"},{"name":"Labha","start":"02:53","end":"04:12","startHours":26.891554492673166,"endHours":28.207648863666307,"quality":"auspicious"},{"name":"Amṛta","start":"04:12","end":"05:31","startHours":28.207648863666307,"endHours":29.523743234659452,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:31","end":"06:31","startHours":5.523743234659452,"endHours":6.523743234659452,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:31","end":"07:31","startHours":6.523743234659452,"endHours":7.523743234659452,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:31","end":"08:31","startHours":7.523743234659452,"endHours":8.523743234659452,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:31","end":"09:31","startHours":8.523743234659452,"endHours":9.523743234659452,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:31","end":"10:31","startHours":9.523743234659452,"endHours":10.523743234659452,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:31","end":"11:31","startHours":10.523743234659452,"endHours":11.523743234659452,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:31","end":"12:31","startHours":11.523743234659452,"endHours":12.523743234659452,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:31","end":"13:31","startHours":12.523743234659452,"endHours":13.523743234659452,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:31","end":"14:31","startHours":13.523743234659452,"endHours":14.523743234659452,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:31","end":"15:31","startHours":14.523743234659452,"endHours":15.523743234659452,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:31","end":"16:31","startHours":15.523743234659452,"endHours":16.523743234659452,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:31","end":"17:31","startHours":16.523743234659452,"endHours":17.523743234659452,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:31","end":"18:31","startHours":17.523743234659452,"endHours":18.523743234659452,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:31","end":"19:31","startHours":18.523743234659452,"endHours":19.523743234659452,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:31","end":"20:31","startHours":19.523743234659452,"endHours":20.523743234659452,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:31","end":"21:31","startHours":20.523743234659452,"endHours":21.523743234659452,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:31","end":"22:31","startHours":21.523743234659452,"endHours":22.523743234659452,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:31","end":"23:31","startHours":22.523743234659452,"endHours":23.523743234659452,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:31","end":"00:31","startHours":23.523743234659452,"endHours":24.523743234659452,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:31","end":"01:31","startHours":24.523743234659452,"endHours":25.523743234659452,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:31","end":"02:31","startHours":25.523743234659452,"endHours":26.523743234659452,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:31","end":"03:31","startHours":26.523743234659452,"endHours":27.523743234659452,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:31","end":"04:31","startHours":27.523743234659452,"endHours":28.523743234659452,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:31","end":"05:31","startHours":28.523743234659452,"endHours":29.523743234659452,"planetary_lord":"Moon"}],"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":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Maitra","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":18.499260837276978,"eotMinutes":3.743254958787478,"ayanamsa":-11.931}},"calendars":{"vikram_samvat":-505,"saka_samvat":-640,"bengali_samvat":-1155,"malayalam_era":-1386,"nanakshahi_year":-2031,"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 Ṣaṣṭhī · Vikram -505 undefined · Śaka -640 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, 563 BCE · Mathurā · Vidhyamitra","description":"May 16, 563 BCE for Mathurā: Kṛṣṇa Ṣaṣṭhī, sūryodaya 05:31, sūryāsta 19:00.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-0562-05-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-0562-05-16","sa":"https://sa.vidhyamitra.com/city/mathura/-0562-05-16","hi":"https://hi.vidhyamitra.com/city/mathura/-0562-05-16","x-default":"https://vidhyamitra.com/city/mathura/-0562-05-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T14:28:19.024Z","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":"2026-08-10T14:28:19.024Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T14:28:19.024Z","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"}}}