{"id":"vidhyamitra:city-day:mathura:-3130-08-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3130-08-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3130-08-15","date_display":"August 15, 3131 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":-3130,"month":8,"day":15,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":578051.770833,"kali_year":-28,"ahargana":-10413.7292,"sun":{"sidereal_longitude":173.8478,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":308.0079,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":134.1601,"elapsed_within_tithi_degrees":2.1601},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1,"moon_longitude":308.0079,"elapsed_within_degrees":1.3412},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":121.8557},"karana":{"half_tithi_index":22,"name":"Bava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":-3130,"month":8,"day":15,"hour":6,"minute":30,"calendar":"julian"},"julian_day":578051.770833,"ahargana":-10413.7292,"kali_year":-28,"ayanamsa_lahiri":-47.8011,"grahas":{"sun":{"sidereal_longitude":173.8478,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":308.0079,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false,"latitude":-4.0355},"mars":{"sidereal_longitude":258.0464,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":190.6101,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":204.9971,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":199.702,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":5.9767,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":11.7695,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":191.7695,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","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":-3130,"month":8,"day":15,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":578051.770833,"kali_year":-28,"ahargana":-10413.7292,"sun":{"sidereal_longitude":173.8478,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":308.0079,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":134.1601,"elapsed_within_tithi_degrees":2.1601},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1,"moon_longitude":308.0079,"elapsed_within_degrees":1.3412},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":121.8557},"karana":{"half_tithi_index":22,"name":"Bava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.036,"elongation":134.16},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.036,"opposition_distance":45.84}},"eclipse_window_40days":[{"offset_days":4,"type":"lunar","occurs":true,"moon_latitude":-0.997,"opposition_distance":0.935},{"offset_days":19,"type":"solar","occurs":true,"moon_latitude":-0.38,"elongation":2.812}]},"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":13.491873193247699,"dayLengthDisplay":"13 Hours 29 Mins 31 Secs","nightLengthDisplay":"10 Hours 30 Mins 29 Secs","moonriseLocal":"16:08","moonsetLocal":"02:32","rahuKala":{"name":"Rāhu Kāla","start":"17:27","end":"19:08","startHours":17.45081757624503,"endHours":19.13730172540099,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:23","end":"14:05","startHours":12.391365128777142,"endHours":14.077849277933105,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:46","end":"17:27","startHours":15.764333427089067,"endHours":17.45081757624503,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:48","end":"09:15","startHours":8.793532277244422,"endHours":9.243261383686011,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:12","end":"06:34","startHours":6.207589915205279,"endHours":6.567373200358551,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:50","startHours":11.941636022335553,"endHours":12.841094235218732,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:51","end":"04:45","startHours":3.846512106386932,"endHours":4.745970319270112,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:31","end":"05:39","startHours":4.521105766049317,"endHours":5.645428532153292,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:38","end":"15:32","startHours":14.64001066098509,"endHours":15.539468873868271,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:56","end":"19:20","startHours":18.937301725400992,"endHours":19.33730172540099,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:08","end":"19:42","startHours":19.13730172540099,"endHours":19.699463108452978,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:53","end":"20:38","startHours":18.88730172540099,"endHours":20.63730172540099,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:50","startHours":23.94163602233555,"endHours":24.841094235218733,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:39","end":"07:20","startHours":5.645428532153292,"endHours":7.331912681309254,"quality":"inauspicious"},{"name":"Chala","start":"07:20","end":"09:01","startHours":7.331912681309254,"endHours":9.018396830465218,"quality":"neutral"},{"name":"Labha","start":"09:01","end":"10:42","startHours":9.018396830465218,"endHours":10.70488097962118,"quality":"auspicious"},{"name":"Amṛta","start":"10:42","end":"12:23","startHours":10.70488097962118,"endHours":12.391365128777142,"quality":"auspicious"},{"name":"Kāla","start":"12:23","end":"14:05","startHours":12.391365128777142,"endHours":14.077849277933105,"quality":"inauspicious"},{"name":"Śubha","start":"14:05","end":"15:46","startHours":14.077849277933105,"endHours":15.764333427089067,"quality":"auspicious"},{"name":"Roga","start":"15:46","end":"17:27","startHours":15.764333427089067,"endHours":17.45081757624503,"quality":"inauspicious"},{"name":"Udveg","start":"17:27","end":"19:08","startHours":17.45081757624503,"endHours":19.13730172540099,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"19:08","end":"20:27","startHours":19.13730172540099,"endHours":20.45081757624503,"quality":"auspicious"},{"name":"Roga","start":"20:27","end":"21:46","startHours":20.45081757624503,"endHours":21.764333427089067,"quality":"inauspicious"},{"name":"Udveg","start":"21:46","end":"23:05","startHours":21.764333427089067,"endHours":23.077849277933105,"quality":"inauspicious"},{"name":"Chala","start":"23:05","end":"00:23","startHours":23.077849277933105,"endHours":24.391365128777142,"quality":"neutral"},{"name":"Labha","start":"00:23","end":"01:42","startHours":24.391365128777142,"endHours":25.70488097962118,"quality":"auspicious"},{"name":"Amṛta","start":"01:42","end":"03:01","startHours":25.70488097962118,"endHours":27.018396830465218,"quality":"auspicious"},{"name":"Kāla","start":"03:01","end":"04:20","startHours":27.018396830465218,"endHours":28.331912681309255,"quality":"inauspicious"},{"name":"Śubha","start":"04:20","end":"05:39","startHours":28.331912681309255,"endHours":29.645428532153293,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:39","end":"06:39","startHours":5.645428532153292,"endHours":6.645428532153292,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:39","end":"07:39","startHours":6.645428532153292,"endHours":7.645428532153292,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:39","end":"08:39","startHours":7.645428532153292,"endHours":8.645428532153293,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:39","end":"09:39","startHours":8.645428532153293,"endHours":9.645428532153293,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:39","end":"10:39","startHours":9.645428532153293,"endHours":10.645428532153293,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:39","end":"11:39","startHours":10.645428532153293,"endHours":11.645428532153293,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:39","end":"12:39","startHours":11.645428532153293,"endHours":12.645428532153293,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:39","end":"13:39","startHours":12.645428532153293,"endHours":13.645428532153293,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:39","end":"14:39","startHours":13.645428532153293,"endHours":14.645428532153293,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:39","end":"15:39","startHours":14.645428532153293,"endHours":15.645428532153293,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:39","end":"16:39","startHours":15.645428532153293,"endHours":16.645428532153293,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:39","end":"17:39","startHours":16.645428532153293,"endHours":17.645428532153293,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:39","end":"18:39","startHours":17.645428532153293,"endHours":18.645428532153293,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:39","end":"19:39","startHours":18.645428532153293,"endHours":19.645428532153293,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:39","end":"20:39","startHours":19.645428532153293,"endHours":20.645428532153293,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:39","end":"21:39","startHours":20.645428532153293,"endHours":21.645428532153293,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:39","end":"22:39","startHours":21.645428532153293,"endHours":22.645428532153293,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:39","end":"23:39","startHours":22.645428532153293,"endHours":23.645428532153293,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:39","end":"00:39","startHours":23.645428532153293,"endHours":24.645428532153293,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:39","end":"01:39","startHours":24.645428532153293,"endHours":25.645428532153293,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:39","end":"02:39","startHours":25.645428532153293,"endHours":26.645428532153293,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:39","end":"03:39","startHours":26.645428532153293,"endHours":27.645428532153293,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:39","end":"04:39","startHours":27.645428532153293,"endHours":28.645428532153293,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:39","end":"05:39","startHours":28.645428532153293,"endHours":29.645428532153293,"planetary_lord":"Jupiter"}],"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":"West (Paścim)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Mātaṇga","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":18.758604315782776,"eotMinutes":-4.176707726628523,"ayanamsa":-47.8011}},"calendars":{"vikram_samvat":-3073,"saka_samvat":-3208,"bengali_samvat":-3723,"malayalam_era":-3954,"nanakshahi_year":-4599,"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 -3073 undefined · Śaka -3208 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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, 3131 BCE · Mathurā · Vidhyamitra","description":"August 15, 3131 BCE for Mathurā: Śukla Dvādaśī, sūryodaya 05:39, sūryāsta 19:08.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3130-08-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3130-08-15","sa":"https://sa.vidhyamitra.com/city/mathura/-3130-08-15","hi":"https://hi.vidhyamitra.com/city/mathura/-3130-08-15","x-default":"https://vidhyamitra.com/city/mathura/-3130-08-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-11T07:49:19.730Z","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":"2026-09-11T07:49:19.730Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-11T07:49:19.730Z","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"}}}