{"id":"vidhyamitra:city-day:mathura:-3111-08-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3111-08-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3111-08-15","date_display":"August 15, 3112 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":-3111,"month":8,"day":15,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":584991.770833,"kali_year":-9,"ahargana":-3473.7292,"sun":{"sidereal_longitude":173.9306,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":313.4637,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":139.5331,"elapsed_within_tithi_degrees":7.5331},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3,"moon_longitude":313.4637,"elapsed_within_degrees":6.797},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":127.3943},"karana":{"half_tithi_index":23,"name":"Bālava"},"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":-3111,"month":8,"day":15,"hour":6,"minute":30,"calendar":"julian"},"julian_day":584991.770833,"ahargana":-3473.7292,"kali_year":-9,"ayanamsa_lahiri":-47.5357,"grahas":{"sun":{"sidereal_longitude":173.9306,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":313.4637,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false,"latitude":-3.4754},"mars":{"sidereal_longitude":321.7111,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":180.7726,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":87.7703,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"venus":{"sidereal_longitude":182.8635,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":238.1596,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":4.0549,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":184.0549,"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":-3111,"month":8,"day":15,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":584991.770833,"kali_year":-9,"ahargana":-3473.7292,"sun":{"sidereal_longitude":173.9306,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":313.4637,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":139.5331,"elapsed_within_tithi_degrees":7.5331},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3,"moon_longitude":313.4637,"elapsed_within_degrees":6.797},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":127.3943},"karana":{"half_tithi_index":23,"name":"Bālava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.475,"elongation":139.533},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.475,"opposition_distance":40.467}},"eclipse_window_40days":[{"offset_days":3,"type":"lunar","occurs":true,"moon_latitude":-0.774,"opposition_distance":2.922},{"offset_days":19,"type":"solar","occurs":true,"moon_latitude":-0.866,"elongation":1.273}]},"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":"05:39","sunsetLocal":"19:08","solarNoonLocal":"12:23","dayLengthHours":13.484992238273103,"dayLengthDisplay":"13 Hours 29 Mins 06 Secs","nightLengthDisplay":"10 Hours 30 Mins 54 Secs","moonriseLocal":"16:31","moonsetLocal":"02:53","rahuKala":{"name":"Rāhu Kāla","start":"12:23","end":"14:05","startHours":12.391365128777142,"endHours":14.076989158561279,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:20","end":"09:01","startHours":7.334493039424728,"endHours":9.020117069208865,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:42","end":"12:23","startHours":10.705741098993004,"endHours":12.391365128777142,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:48","end":"09:15","startHours":8.79536719857098,"endHours":9.244866939846752,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:13","end":"06:34","startHours":6.210743686235302,"endHours":6.570343479255918,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:50","startHours":11.941865387501371,"endHours":12.840864870052913,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:51","end":"04:45","startHours":3.8508700445375097,"endHours":4.74986952708905,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:32","end":"05:39","startHours":4.525119656451165,"endHours":5.64886900964059,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:38","end":"15:32","startHours":14.638863835155991,"endHours":15.537863317707531,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:56","end":"19:20","startHours":18.933861247913693,"endHours":19.333861247913692,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:08","end":"19:42","startHours":19.133861247913693,"endHours":19.695735924508405,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:53","end":"20:38","startHours":18.883861247913693,"endHours":20.633861247913693,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:50","startHours":23.941865387501373,"endHours":24.84086487005291,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:39","end":"07:20","startHours":5.64886900964059,"endHours":7.334493039424728,"quality":"auspicious"},{"name":"Amṛta","start":"07:20","end":"09:01","startHours":7.334493039424728,"endHours":9.020117069208865,"quality":"auspicious"},{"name":"Kāla","start":"09:01","end":"10:42","startHours":9.020117069208865,"endHours":10.705741098993004,"quality":"inauspicious"},{"name":"Śubha","start":"10:42","end":"12:23","startHours":10.705741098993004,"endHours":12.391365128777142,"quality":"auspicious"},{"name":"Roga","start":"12:23","end":"14:05","startHours":12.391365128777142,"endHours":14.076989158561279,"quality":"inauspicious"},{"name":"Udveg","start":"14:05","end":"15:46","startHours":14.076989158561279,"endHours":15.762613188345417,"quality":"inauspicious"},{"name":"Chala","start":"15:46","end":"17:27","startHours":15.762613188345417,"endHours":17.448237218129556,"quality":"neutral"},{"name":"Labha","start":"17:27","end":"19:08","startHours":17.448237218129556,"endHours":19.133861247913693,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:08","end":"20:27","startHours":19.133861247913693,"endHours":20.448237218129556,"quality":"inauspicious"},{"name":"Chala","start":"20:27","end":"21:46","startHours":20.448237218129556,"endHours":21.762613188345416,"quality":"neutral"},{"name":"Labha","start":"21:46","end":"23:05","startHours":21.762613188345416,"endHours":23.07698915856128,"quality":"auspicious"},{"name":"Amṛta","start":"23:05","end":"00:23","startHours":23.07698915856128,"endHours":24.391365128777142,"quality":"auspicious"},{"name":"Kāla","start":"00:23","end":"01:42","startHours":24.391365128777142,"endHours":25.705741098993002,"quality":"inauspicious"},{"name":"Śubha","start":"01:42","end":"03:01","startHours":25.705741098993002,"endHours":27.020117069208865,"quality":"auspicious"},{"name":"Roga","start":"03:01","end":"04:20","startHours":27.020117069208865,"endHours":28.33449303942473,"quality":"inauspicious"},{"name":"Udveg","start":"04:20","end":"05:39","startHours":28.33449303942473,"endHours":29.648869009640592,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:39","end":"06:39","startHours":5.64886900964059,"endHours":6.64886900964059,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:39","end":"07:39","startHours":6.64886900964059,"endHours":7.64886900964059,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:39","end":"08:39","startHours":7.64886900964059,"endHours":8.64886900964059,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:39","end":"09:39","startHours":8.64886900964059,"endHours":9.64886900964059,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:39","end":"10:39","startHours":9.64886900964059,"endHours":10.64886900964059,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:39","end":"11:39","startHours":10.64886900964059,"endHours":11.64886900964059,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:39","end":"12:39","startHours":11.64886900964059,"endHours":12.64886900964059,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:39","end":"13:39","startHours":12.64886900964059,"endHours":13.64886900964059,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:39","end":"14:39","startHours":13.64886900964059,"endHours":14.64886900964059,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:39","end":"15:39","startHours":14.64886900964059,"endHours":15.64886900964059,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:39","end":"16:39","startHours":15.64886900964059,"endHours":16.648869009640592,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:39","end":"17:39","startHours":16.648869009640592,"endHours":17.648869009640592,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:39","end":"18:39","startHours":17.648869009640592,"endHours":18.648869009640592,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:39","end":"19:39","startHours":18.648869009640592,"endHours":19.648869009640592,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:39","end":"20:39","startHours":19.648869009640592,"endHours":20.648869009640592,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:39","end":"21:39","startHours":20.648869009640592,"endHours":21.648869009640592,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:39","end":"22:39","startHours":21.648869009640592,"endHours":22.648869009640592,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:39","end":"23:39","startHours":22.648869009640592,"endHours":23.648869009640592,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:39","end":"00:39","startHours":23.648869009640592,"endHours":24.648869009640592,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:39","end":"01:39","startHours":24.648869009640592,"endHours":25.648869009640592,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:39","end":"02:39","startHours":25.648869009640592,"endHours":26.648869009640592,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:39","end":"03:39","startHours":26.648869009640592,"endHours":27.648869009640592,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:39","end":"04:39","startHours":27.648869009640592,"endHours":28.648869009640592,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:39","end":"05:39","startHours":28.648869009640592,"endHours":29.648869009640592,"planetary_lord":"Sun"}],"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":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Śrīvatsa","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.67220202499499,"eotMinutes":-4.176707726628523,"ayanamsa":-47.5357}},"calendars":{"vikram_samvat":-3054,"saka_samvat":-3189,"bengali_samvat":-3704,"malayalam_era":-3935,"nanakshahi_year":-4580,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Dvādaśī · Vikram -3054 undefined · Śaka -3189 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 August 15, 3112 BCE · Mathurā · Vidhyamitra","description":"August 15, 3112 BCE for Mathurā: Śukla Dvādaśī, sūryodaya 05:39, sūryāsta 19:08.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3111-08-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3111-08-15","sa":"https://sa.vidhyamitra.com/city/mathura/-3111-08-15","hi":"https://hi.vidhyamitra.com/city/mathura/-3111-08-15","x-default":"https://vidhyamitra.com/city/mathura/-3111-08-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-10T19:11:02.768Z","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":"2026-09-10T19:11:02.768Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-10T19:11:02.768Z","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"}}}