{"id":"vidhyamitra:city-day:mathura:-3184-05-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3184-05-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3184-05-31","date_display":"May 31, 3185 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":-3184,"month":5,"day":31,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":558252.770833,"kali_year":-82,"ahargana":-30212.7292,"sun":{"sidereal_longitude":101.2794,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":60.3704,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":319.091,"elapsed_within_tithi_degrees":7.091},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":60.3704,"elapsed_within_degrees":7.0371},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":161.6498},"karana":{"half_tithi_index":53,"name":"Taitila"},"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":-3184,"month":5,"day":31,"hour":6,"minute":30,"calendar":"julian"},"julian_day":558252.770833,"ahargana":-30212.7292,"kali_year":-82,"ayanamsa_lahiri":-48.5583,"grahas":{"sun":{"sidereal_longitude":101.2794,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"moon":{"sidereal_longitude":60.3704,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3},"retrograde":false,"latitude":4.4253},"mars":{"sidereal_longitude":50.1455,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":127.4862,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":23.816,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":138.3036,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":74.5223,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":340.8158,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":160.8158,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"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":-3184,"month":5,"day":31,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":558252.770833,"kali_year":-82,"ahargana":-30212.7292,"sun":{"sidereal_longitude":101.2794,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":60.3704,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":319.091,"elapsed_within_tithi_degrees":7.091},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":60.3704,"elapsed_within_degrees":7.0371},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":161.6498},"karana":{"half_tithi_index":53,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.425,"elongation":40.909},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.425,"opposition_distance":139.091}},"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":"19:01","solarNoonLocal":"12:17","dayLengthHours":13.467322977118641,"dayLengthDisplay":"13 Hours 28 Mins 02 Secs","nightLengthDisplay":"10 Hours 31 Mins 58 Secs","moonriseLocal":"03:21","moonsetLocal":"15:46","rahuKala":{"name":"Rāhu Kāla","start":"13:58","end":"15:39","startHours":13.963509259504168,"endHours":15.646924631643998,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:33","end":"07:14","startHours":5.546432398805016,"endHours":7.229847770944846,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:55","end":"10:36","startHours":8.913263143084677,"endHours":10.596678515224507,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:41","end":"09:08","startHours":8.688807760132699,"endHours":9.137718526036654,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:06","end":"06:28","startHours":6.107570856184959,"endHours":6.466699468908123,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:44","startHours":11.831183121460382,"endHours":12.729004653268293,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:45","end":"04:39","startHours":3.750789335189197,"endHours":4.648610866997107,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:25","end":"05:33","startHours":4.424155484045129,"endHours":5.546432398805016,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:31","end":"15:25","startHours":14.524647716884111,"endHours":15.422469248692021,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:49","end":"19:13","startHours":18.81375537592366,"endHours":19.213755375923657,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:01","end":"19:34","startHours":19.013755375923658,"endHours":19.5748938333036,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:46","end":"20:31","startHours":18.763755375923658,"endHours":20.513755375923658,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:44","startHours":23.831183121460384,"endHours":24.72900465326829,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:33","end":"07:14","startHours":5.546432398805016,"endHours":7.229847770944846,"quality":"auspicious"},{"name":"Roga","start":"07:14","end":"08:55","startHours":7.229847770944846,"endHours":8.913263143084677,"quality":"inauspicious"},{"name":"Udveg","start":"08:55","end":"10:36","startHours":8.913263143084677,"endHours":10.596678515224507,"quality":"inauspicious"},{"name":"Chala","start":"10:36","end":"12:17","startHours":10.596678515224507,"endHours":12.280093887364337,"quality":"neutral"},{"name":"Labha","start":"12:17","end":"13:58","startHours":12.280093887364337,"endHours":13.963509259504168,"quality":"auspicious"},{"name":"Amṛta","start":"13:58","end":"15:39","startHours":13.963509259504168,"endHours":15.646924631643998,"quality":"auspicious"},{"name":"Kāla","start":"15:39","end":"17:20","startHours":15.646924631643998,"endHours":17.330340003783828,"quality":"inauspicious"},{"name":"Śubha","start":"17:20","end":"19:01","startHours":17.330340003783828,"endHours":19.013755375923658,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"19:01","end":"20:20","startHours":19.013755375923658,"endHours":20.330340003783828,"quality":"auspicious"},{"name":"Kāla","start":"20:20","end":"21:39","startHours":20.330340003783828,"endHours":21.646924631643998,"quality":"inauspicious"},{"name":"Śubha","start":"21:39","end":"22:58","startHours":21.646924631643998,"endHours":22.963509259504168,"quality":"auspicious"},{"name":"Roga","start":"22:58","end":"00:17","startHours":22.963509259504168,"endHours":24.280093887364337,"quality":"inauspicious"},{"name":"Udveg","start":"00:17","end":"01:36","startHours":24.280093887364337,"endHours":25.596678515224507,"quality":"inauspicious"},{"name":"Chala","start":"01:36","end":"02:55","startHours":25.596678515224507,"endHours":26.913263143084677,"quality":"neutral"},{"name":"Labha","start":"02:55","end":"04:14","startHours":26.913263143084677,"endHours":28.229847770944847,"quality":"auspicious"},{"name":"Amṛta","start":"04:14","end":"05:33","startHours":28.229847770944847,"endHours":29.546432398805017,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:33","end":"06:33","startHours":5.546432398805016,"endHours":6.546432398805016,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:33","end":"07:33","startHours":6.546432398805016,"endHours":7.546432398805016,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:33","end":"08:33","startHours":7.546432398805016,"endHours":8.546432398805017,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:33","end":"09:33","startHours":8.546432398805017,"endHours":9.546432398805017,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:33","end":"10:33","startHours":9.546432398805017,"endHours":10.546432398805017,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:33","end":"11:33","startHours":10.546432398805017,"endHours":11.546432398805017,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:33","end":"12:33","startHours":11.546432398805017,"endHours":12.546432398805017,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:33","end":"13:33","startHours":12.546432398805017,"endHours":13.546432398805017,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:33","end":"14:33","startHours":13.546432398805017,"endHours":14.546432398805017,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:33","end":"15:33","startHours":14.546432398805017,"endHours":15.546432398805017,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:33","end":"16:33","startHours":15.546432398805017,"endHours":16.546432398805017,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:33","end":"17:33","startHours":16.546432398805017,"endHours":17.546432398805017,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:33","end":"18:33","startHours":17.546432398805017,"endHours":18.546432398805017,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:33","end":"19:33","startHours":18.546432398805017,"endHours":19.546432398805017,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:33","end":"20:33","startHours":19.546432398805017,"endHours":20.546432398805017,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:33","end":"21:33","startHours":20.546432398805017,"endHours":21.546432398805017,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:33","end":"22:33","startHours":21.546432398805017,"endHours":22.546432398805017,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:33","end":"23:33","startHours":22.546432398805017,"endHours":23.546432398805017,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:33","end":"00:33","startHours":23.546432398805017,"endHours":24.546432398805017,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:33","end":"01:33","startHours":24.546432398805017,"endHours":25.546432398805017,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:33","end":"02:33","startHours":25.546432398805017,"endHours":26.546432398805017,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:33","end":"03:33","startHours":26.546432398805017,"endHours":27.546432398805017,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:33","end":"04:33","startHours":27.546432398805017,"endHours":28.546432398805017,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:33","end":"05:33","startHours":28.546432398805017,"endHours":29.546432398805017,"planetary_lord":"Moon"}],"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":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Amṛta","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":18.44984273339681,"eotMinutes":2.4995667581397525,"ayanamsa":-48.5583}},"calendars":{"vikram_samvat":-3127,"saka_samvat":-3262,"bengali_samvat":-3777,"malayalam_era":-4008,"nanakshahi_year":-4653,"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 Dvādaśī · Vikram -3127 undefined · Śaka -3262 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 31, 3185 BCE · Mathurā · Vidhyamitra","description":"May 31, 3185 BCE for Mathurā: Kṛṣṇa Dvādaśī, sūryodaya 05:33, sūryāsta 19:01.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3184-05-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3184-05-31","sa":"https://sa.vidhyamitra.com/city/mathura/-3184-05-31","hi":"https://hi.vidhyamitra.com/city/mathura/-3184-05-31","x-default":"https://vidhyamitra.com/city/mathura/-3184-05-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-11T06:44:59.442Z","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":"2026-09-11T06:44:59.442Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-11T06:44:59.442Z","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"}}}