{"id":"vidhyamitra:city-day:mathura:-3148-05-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3148-05-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3148-05-20","date_display":"May 20, 3149 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":-3148,"month":5,"day":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":571390.770833,"kali_year":-46,"ahargana":-17074.7292,"sun":{"sidereal_longitude":90.5465,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":14.5142,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":283.9678,"elapsed_within_tithi_degrees":7.9678},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1,"moon_longitude":14.5142,"elapsed_within_degrees":1.1809},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":105.0607},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":-3148,"month":5,"day":20,"hour":6,"minute":30,"calendar":"julian"},"julian_day":571390.770833,"ahargana":-17074.7292,"kali_year":-46,"ayanamsa_lahiri":-48.0559,"grahas":{"sun":{"sidereal_longitude":90.5465,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"moon":{"sidereal_longitude":14.5142,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false,"latitude":0.7662},"mars":{"sidereal_longitude":74.4884,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":73.8424,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":34.4747,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":56.0795,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":152.8034,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":4.7013,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":184.7013,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","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":-3148,"month":5,"day":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":571390.770833,"kali_year":-46,"ahargana":-17074.7292,"sun":{"sidereal_longitude":90.5465,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":14.5142,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":283.9678,"elapsed_within_tithi_degrees":7.9678},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1,"moon_longitude":14.5142,"elapsed_within_degrees":1.1809},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":105.0607},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.766,"elongation":76.032},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.766,"opposition_distance":103.968}},"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":"05:38","sunsetLocal":"18:53","solarNoonLocal":"12:16","dayLengthHours":13.244294867426277,"dayLengthDisplay":"13 Hours 14 Mins 39 Secs","nightLengthDisplay":"10 Hours 45 Mins 21 Secs","moonriseLocal":"01:36","moonsetLocal":"12:47","rahuKala":{"name":"Rāhu Kāla","start":"12:16","end":"13:55","startHours":12.261781449730247,"endHours":13.917318308158531,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:18","end":"08:57","startHours":7.295170874445394,"endHours":8.950707732873678,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:36","end":"12:16","startHours":10.606244591301962,"endHours":12.261781449730247,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:44","end":"09:10","startHours":8.729969485083242,"endHours":9.171445980664117,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:11","end":"06:33","startHours":6.191479635493204,"endHours":6.544660831957905,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:42","startHours":11.820304954149371,"endHours":12.703257945311123,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:52","end":"04:45","startHours":3.873728033693606,"endHours":4.756681024855357,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:32","end":"05:38","startHours":4.535942777064919,"endHours":5.6396340160171095,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:28","end":"15:21","startHours":14.469163927634625,"endHours":15.352116918796376,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:41","end":"19:05","startHours":18.683928883443386,"endHours":19.083928883443384,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:53","end":"19:26","startHours":18.883928883443385,"endHours":19.43577450291948,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:38","end":"20:23","startHours":18.633928883443385,"endHours":20.383928883443385,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:42","startHours":23.82030495414937,"endHours":24.703257945311123,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:38","end":"07:18","startHours":5.6396340160171095,"endHours":7.295170874445394,"quality":"auspicious"},{"name":"Amṛta","start":"07:18","end":"08:57","startHours":7.295170874445394,"endHours":8.950707732873678,"quality":"auspicious"},{"name":"Kāla","start":"08:57","end":"10:36","startHours":8.950707732873678,"endHours":10.606244591301962,"quality":"inauspicious"},{"name":"Śubha","start":"10:36","end":"12:16","startHours":10.606244591301962,"endHours":12.261781449730247,"quality":"auspicious"},{"name":"Roga","start":"12:16","end":"13:55","startHours":12.261781449730247,"endHours":13.917318308158531,"quality":"inauspicious"},{"name":"Udveg","start":"13:55","end":"15:34","startHours":13.917318308158531,"endHours":15.572855166586816,"quality":"inauspicious"},{"name":"Chala","start":"15:34","end":"17:14","startHours":15.572855166586816,"endHours":17.2283920250151,"quality":"neutral"},{"name":"Labha","start":"17:14","end":"18:53","startHours":17.2283920250151,"endHours":18.883928883443385,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:53","end":"20:14","startHours":18.883928883443385,"endHours":20.2283920250151,"quality":"inauspicious"},{"name":"Chala","start":"20:14","end":"21:34","startHours":20.2283920250151,"endHours":21.572855166586816,"quality":"neutral"},{"name":"Labha","start":"21:34","end":"22:55","startHours":21.572855166586816,"endHours":22.91731830815853,"quality":"auspicious"},{"name":"Amṛta","start":"22:55","end":"00:16","startHours":22.91731830815853,"endHours":24.261781449730247,"quality":"auspicious"},{"name":"Kāla","start":"00:16","end":"01:36","startHours":24.261781449730247,"endHours":25.606244591301962,"quality":"inauspicious"},{"name":"Śubha","start":"01:36","end":"02:57","startHours":25.606244591301962,"endHours":26.950707732873678,"quality":"auspicious"},{"name":"Roga","start":"02:57","end":"04:18","startHours":26.950707732873678,"endHours":28.295170874445393,"quality":"inauspicious"},{"name":"Udveg","start":"04:18","end":"05:38","startHours":28.295170874445393,"endHours":29.63963401601711,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:38","end":"06:38","startHours":5.6396340160171095,"endHours":6.6396340160171095,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:38","end":"07:38","startHours":6.6396340160171095,"endHours":7.6396340160171095,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:38","end":"08:38","startHours":7.6396340160171095,"endHours":8.639634016017109,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:38","end":"09:38","startHours":8.639634016017109,"endHours":9.639634016017109,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:38","end":"10:38","startHours":9.639634016017109,"endHours":10.639634016017109,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:38","end":"11:38","startHours":10.639634016017109,"endHours":11.639634016017109,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:38","end":"12:38","startHours":11.639634016017109,"endHours":12.639634016017109,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:38","end":"13:38","startHours":12.639634016017109,"endHours":13.639634016017109,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:38","end":"14:38","startHours":13.639634016017109,"endHours":14.639634016017109,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:38","end":"15:38","startHours":14.639634016017109,"endHours":15.639634016017109,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:38","end":"16:38","startHours":15.639634016017109,"endHours":16.63963401601711,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:38","end":"17:38","startHours":16.63963401601711,"endHours":17.63963401601711,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:38","end":"18:38","startHours":17.63963401601711,"endHours":18.63963401601711,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:38","end":"19:38","startHours":18.63963401601711,"endHours":19.63963401601711,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:38","end":"20:38","startHours":19.63963401601711,"endHours":20.63963401601711,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:38","end":"21:38","startHours":20.63963401601711,"endHours":21.63963401601711,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:38","end":"22:38","startHours":21.63963401601711,"endHours":22.63963401601711,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:38","end":"23:38","startHours":22.63963401601711,"endHours":23.63963401601711,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:38","end":"00:38","startHours":23.63963401601711,"endHours":24.63963401601711,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:38","end":"01:38","startHours":24.63963401601711,"endHours":25.63963401601711,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:38","end":"02:38","startHours":25.63963401601711,"endHours":26.63963401601711,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:38","end":"03:38","startHours":26.63963401601711,"endHours":27.63963401601711,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:38","end":"04:38","startHours":27.63963401601711,"endHours":28.63963401601711,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:38","end":"05:38","startHours":28.63963401601711,"endHours":29.63963401601711,"planetary_lord":"Sun"}],"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":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Padma","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":15.584309244024753,"eotMinutes":3.5983130161851964,"ayanamsa":-48.0559}},"calendars":{"vikram_samvat":-3091,"saka_samvat":-3226,"bengali_samvat":-3741,"malayalam_era":-3972,"nanakshahi_year":-4617,"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 Navamī · Vikram -3091 undefined · Śaka -3226 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 20, 3149 BCE · Mathurā · Vidhyamitra","description":"May 20, 3149 BCE for Mathurā: Kṛṣṇa Navamī, sūryodaya 05:38, sūryāsta 18:53.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3148-05-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3148-05-20","sa":"https://sa.vidhyamitra.com/city/mathura/-3148-05-20","hi":"https://hi.vidhyamitra.com/city/mathura/-3148-05-20","x-default":"https://vidhyamitra.com/city/mathura/-3148-05-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-12T04:57:53.191Z","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":"2026-09-12T04:57:53.191Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-12T04:57:53.191Z","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"}}}