{"id":"vidhyamitra:city-day:mathura:-3156-05-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3156-05-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3156-05-31","date_display":"May 31, 3157 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":-3156,"month":5,"day":31,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":568479.770833,"kali_year":-54,"ahargana":-19985.7292,"sun":{"sidereal_longitude":101.0466,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":178.9501,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":77.9035,"elapsed_within_tithi_degrees":5.9035},"nakshatra":{"number":14,"name":"Citrā","pada":2,"moon_longitude":178.9501,"elapsed_within_degrees":5.6167},"yoga":{"number":21,"name":"Siddha","sum_longitude":279.9966},"karana":{"half_tithi_index":12,"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":-3156,"month":5,"day":31,"hour":6,"minute":30,"calendar":"julian"},"julian_day":568479.770833,"ahargana":-19985.7292,"kali_year":-54,"ayanamsa_lahiri":-48.1672,"grahas":{"sun":{"sidereal_longitude":101.0466,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"moon":{"sidereal_longitude":178.9501,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false,"latitude":1.5384},"mars":{"sidereal_longitude":14.5743,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":102.7954,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":134.8832,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":68.6302,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":55.2691,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":158.9401,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":338.9401,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","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":-3156,"month":5,"day":31,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":568479.770833,"kali_year":-54,"ahargana":-19985.7292,"sun":{"sidereal_longitude":101.0466,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":178.9501,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":77.9035,"elapsed_within_tithi_degrees":5.9035},"nakshatra":{"number":14,"name":"Citrā","pada":2,"moon_longitude":178.9501,"elapsed_within_degrees":5.6167},"yoga":{"number":21,"name":"Siddha","sum_longitude":279.9966},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.538,"elongation":77.903},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.538,"opposition_distance":102.097}},"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":13.47050792955419,"dayLengthDisplay":"13 Hours 28 Mins 14 Secs","nightLengthDisplay":"10 Hours 31 Mins 46 Secs","moonriseLocal":"10:48","moonsetLocal":"00:09","rahuKala":{"name":"Rāhu Kāla","start":"13:58","end":"15:39","startHours":13.963907378558611,"endHours":15.647720869752884,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:33","end":"07:14","startHours":5.544839922587242,"endHours":7.228653413781515,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:55","end":"10:36","startHours":8.912466904975789,"endHours":10.596280396170062,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:41","end":"09:08","startHours":8.68795843948322,"endHours":9.13697537046836,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:06","end":"06:28","startHours":6.106111086318666,"endHours":6.465324631106778,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:44","startHours":11.831076956379198,"endHours":12.729110818349477,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:45","end":"04:39","startHours":3.748772198646683,"endHours":4.646806060616963,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:25","end":"05:33","startHours":4.422297595124393,"endHours":5.544839922587242,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:32","end":"15:25","startHours":14.525178542290035,"endHours":15.423212404260315,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:49","end":"19:13","startHours":18.815347852141432,"endHours":19.21534785214143,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:01","end":"19:35","startHours":19.01534785214143,"endHours":19.576619015872858,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:46","end":"20:31","startHours":18.76534785214143,"endHours":20.51534785214143,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:44","startHours":23.8310769563792,"endHours":24.729110818349476,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:33","end":"07:14","startHours":5.544839922587242,"endHours":7.228653413781515,"quality":"auspicious"},{"name":"Roga","start":"07:14","end":"08:55","startHours":7.228653413781515,"endHours":8.912466904975789,"quality":"inauspicious"},{"name":"Udveg","start":"08:55","end":"10:36","startHours":8.912466904975789,"endHours":10.596280396170062,"quality":"inauspicious"},{"name":"Chala","start":"10:36","end":"12:17","startHours":10.596280396170062,"endHours":12.280093887364337,"quality":"neutral"},{"name":"Labha","start":"12:17","end":"13:58","startHours":12.280093887364337,"endHours":13.963907378558611,"quality":"auspicious"},{"name":"Amṛta","start":"13:58","end":"15:39","startHours":13.963907378558611,"endHours":15.647720869752884,"quality":"auspicious"},{"name":"Kāla","start":"15:39","end":"17:20","startHours":15.647720869752884,"endHours":17.33153436094716,"quality":"inauspicious"},{"name":"Śubha","start":"17:20","end":"19:01","startHours":17.33153436094716,"endHours":19.01534785214143,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"19:01","end":"20:20","startHours":19.01534785214143,"endHours":20.331534360947156,"quality":"auspicious"},{"name":"Kāla","start":"20:20","end":"21:39","startHours":20.331534360947156,"endHours":21.647720869752884,"quality":"inauspicious"},{"name":"Śubha","start":"21:39","end":"22:58","startHours":21.647720869752884,"endHours":22.96390737855861,"quality":"auspicious"},{"name":"Roga","start":"22:58","end":"00:17","startHours":22.96390737855861,"endHours":24.280093887364337,"quality":"inauspicious"},{"name":"Udveg","start":"00:17","end":"01:36","startHours":24.280093887364337,"endHours":25.596280396170062,"quality":"inauspicious"},{"name":"Chala","start":"01:36","end":"02:55","startHours":25.596280396170062,"endHours":26.912466904975787,"quality":"neutral"},{"name":"Labha","start":"02:55","end":"04:14","startHours":26.912466904975787,"endHours":28.228653413781515,"quality":"auspicious"},{"name":"Amṛta","start":"04:14","end":"05:33","startHours":28.228653413781515,"endHours":29.544839922587244,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:33","end":"06:33","startHours":5.544839922587242,"endHours":6.544839922587242,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:33","end":"07:33","startHours":6.544839922587242,"endHours":7.544839922587242,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:33","end":"08:33","startHours":7.544839922587242,"endHours":8.544839922587242,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:33","end":"09:33","startHours":8.544839922587242,"endHours":9.544839922587242,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:33","end":"10:33","startHours":9.544839922587242,"endHours":10.544839922587242,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:33","end":"11:33","startHours":10.544839922587242,"endHours":11.544839922587242,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:33","end":"12:33","startHours":11.544839922587242,"endHours":12.544839922587242,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:33","end":"13:33","startHours":12.544839922587242,"endHours":13.544839922587242,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:33","end":"14:33","startHours":13.544839922587242,"endHours":14.544839922587242,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:33","end":"15:33","startHours":14.544839922587242,"endHours":15.544839922587242,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:33","end":"16:33","startHours":15.544839922587242,"endHours":16.544839922587244,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:33","end":"17:33","startHours":16.544839922587244,"endHours":17.544839922587244,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:33","end":"18:33","startHours":17.544839922587244,"endHours":18.544839922587244,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:33","end":"19:33","startHours":18.544839922587244,"endHours":19.544839922587244,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:33","end":"20:33","startHours":19.544839922587244,"endHours":20.544839922587244,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:33","end":"21:33","startHours":20.544839922587244,"endHours":21.544839922587244,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:33","end":"22:33","startHours":21.544839922587244,"endHours":22.544839922587244,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:33","end":"23:33","startHours":22.544839922587244,"endHours":23.544839922587244,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:33","end":"00:33","startHours":23.544839922587244,"endHours":24.544839922587244,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:33","end":"01:33","startHours":24.544839922587244,"endHours":25.544839922587244,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:33","end":"02:33","startHours":25.544839922587244,"endHours":26.544839922587244,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:33","end":"03:33","startHours":26.544839922587244,"endHours":27.544839922587244,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:33","end":"04:33","startHours":27.544839922587244,"endHours":28.544839922587244,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:33","end":"05:33","startHours":28.544839922587244,"endHours":29.544839922587244,"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":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"North-West","rahuVasa":"North-West","anandadiYoga":{"name":"Kāladaṇḍa","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.489975952945766,"eotMinutes":2.4995667581397525,"ayanamsa":-48.1672}},"calendars":{"vikram_samvat":-3099,"saka_samvat":-3234,"bengali_samvat":-3749,"malayalam_era":-3980,"nanakshahi_year":-4625,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla 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 Śukla Saptamī · Vikram -3099 undefined · Śaka -3234 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, 3157 BCE · Mathurā · Vidhyamitra","description":"May 31, 3157 BCE for Mathurā: Śukla Saptamī, sūryodaya 05:33, sūryāsta 19:01.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3156-05-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3156-05-31","sa":"https://sa.vidhyamitra.com/city/mathura/-3156-05-31","hi":"https://hi.vidhyamitra.com/city/mathura/-3156-05-31","x-default":"https://vidhyamitra.com/city/mathura/-3156-05-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-08T12:56:19.126Z","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":"2026-09-08T12:56:19.126Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-08T12:56:19.126Z","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"}}}