{"id":"vidhyamitra:city-day:mathura:-3111-08-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3111-08-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3111-08-03","date_display":"August 3, 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":3,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":584979.770833,"kali_year":-9,"ahargana":-3485.7292,"sun":{"sidereal_longitude":162.0948,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":143.9562,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":341.8614,"elapsed_within_tithi_degrees":5.8614},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4,"moon_longitude":143.9562,"elapsed_within_degrees":10.6228},"yoga":{"number":23,"name":"Śubha","sum_longitude":306.0509},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":3,"hour":6,"minute":30,"calendar":"julian"},"julian_day":584979.770833,"ahargana":-3485.7292,"kali_year":-9,"ayanamsa_lahiri":-47.5361,"grahas":{"sun":{"sidereal_longitude":162.0948,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"moon":{"sidereal_longitude":143.9562,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false,"latitude":2.9348},"mars":{"sidereal_longitude":322.4221,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":true},"mercury":{"sidereal_longitude":159.7573,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":86.5337,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"venus":{"sidereal_longitude":167.9184,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":237.4085,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":4.6907,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":184.6907,"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":3,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":584979.770833,"kali_year":-9,"ahargana":-3485.7292,"sun":{"sidereal_longitude":162.0948,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":143.9562,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":341.8614,"elapsed_within_tithi_degrees":5.8614},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4,"moon_longitude":143.9562,"elapsed_within_degrees":10.6228},"yoga":{"number":23,"name":"Śubha","sum_longitude":306.0509},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.935,"elongation":18.139},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.935,"opposition_distance":161.861}},"eclipse_window_40days":[{"offset_days":15,"type":"lunar","occurs":true,"moon_latitude":-0.774,"opposition_distance":2.922}]},"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":"05:34","sunsetLocal":"19:16","solarNoonLocal":"12:25","dayLengthHours":13.690704473713652,"dayLengthDisplay":"13 Hours 41 Mins 27 Secs","nightLengthDisplay":"10 Hours 18 Mins 33 Secs","moonriseLocal":"04:18","moonsetLocal":"18:07","rahuKala":{"name":"Rāhu Kāla","start":"10:43","end":"12:25","startHours":10.708397523391682,"endHours":12.419735582605888,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:51","end":"17:33","startHours":15.842411701034301,"endHours":17.553749760248508,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:17","end":"09:00","startHours":7.28572140496327,"endHours":8.997059464177475,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:46","end":"09:14","startHours":8.768881056282249,"endHours":9.225237872072704,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:09","end":"06:31","startHours":6.144829365487132,"endHours":6.509914818119496,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:53","startHours":11.963378766815433,"endHours":12.876092398396343,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:45","end":"04:40","startHours":3.748956082587243,"endHours":4.661669714168153,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:26","end":"05:34","startHours":4.433491306272925,"endHours":5.574383345749063,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.701519661558166,"endHours":15.614233293139076,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:04","end":"19:28","startHours":19.065087819462715,"endHours":19.465087819462713,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:16","end":"19:50","startHours":19.265087819462714,"endHours":19.83553383920078,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:01","end":"20:46","startHours":19.015087819462714,"endHours":20.765087819462714,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:53","startHours":23.963378766815435,"endHours":24.87609239839634,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:34","end":"07:17","startHours":5.574383345749063,"endHours":7.28572140496327,"quality":"neutral"},{"name":"Labha","start":"07:17","end":"09:00","startHours":7.28572140496327,"endHours":8.997059464177475,"quality":"auspicious"},{"name":"Amṛta","start":"09:00","end":"10:43","startHours":8.997059464177475,"endHours":10.708397523391682,"quality":"auspicious"},{"name":"Kāla","start":"10:43","end":"12:25","startHours":10.708397523391682,"endHours":12.419735582605888,"quality":"inauspicious"},{"name":"Śubha","start":"12:25","end":"14:08","startHours":12.419735582605888,"endHours":14.131073641820095,"quality":"auspicious"},{"name":"Roga","start":"14:08","end":"15:51","startHours":14.131073641820095,"endHours":15.842411701034301,"quality":"inauspicious"},{"name":"Udveg","start":"15:51","end":"17:33","startHours":15.842411701034301,"endHours":17.553749760248508,"quality":"inauspicious"},{"name":"Chala","start":"17:33","end":"19:16","startHours":17.553749760248508,"endHours":19.265087819462714,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"19:16","end":"20:33","startHours":19.265087819462714,"endHours":20.553749760248508,"quality":"inauspicious"},{"name":"Udveg","start":"20:33","end":"21:51","startHours":20.553749760248508,"endHours":21.8424117010343,"quality":"inauspicious"},{"name":"Chala","start":"21:51","end":"23:08","startHours":21.8424117010343,"endHours":23.131073641820095,"quality":"neutral"},{"name":"Labha","start":"23:08","end":"00:25","startHours":23.131073641820095,"endHours":24.419735582605888,"quality":"auspicious"},{"name":"Amṛta","start":"00:25","end":"01:43","startHours":24.419735582605888,"endHours":25.70839752339168,"quality":"auspicious"},{"name":"Kāla","start":"01:43","end":"03:00","startHours":25.70839752339168,"endHours":26.997059464177475,"quality":"inauspicious"},{"name":"Śubha","start":"03:00","end":"04:17","startHours":26.997059464177475,"endHours":28.28572140496327,"quality":"auspicious"},{"name":"Roga","start":"04:17","end":"05:34","startHours":28.28572140496327,"endHours":29.574383345749062,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:34","end":"06:34","startHours":5.574383345749063,"endHours":6.574383345749063,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:34","end":"07:34","startHours":6.574383345749063,"endHours":7.574383345749063,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:34","end":"08:34","startHours":7.574383345749063,"endHours":8.574383345749062,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:34","end":"09:34","startHours":8.574383345749062,"endHours":9.574383345749062,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:34","end":"10:34","startHours":9.574383345749062,"endHours":10.574383345749062,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:34","end":"11:34","startHours":10.574383345749062,"endHours":11.574383345749062,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:34","end":"12:34","startHours":11.574383345749062,"endHours":12.574383345749062,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:34","end":"13:34","startHours":12.574383345749062,"endHours":13.574383345749062,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:34","end":"14:34","startHours":13.574383345749062,"endHours":14.574383345749062,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:34","end":"15:34","startHours":14.574383345749062,"endHours":15.574383345749062,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:34","end":"16:34","startHours":15.574383345749062,"endHours":16.574383345749062,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:34","end":"17:34","startHours":16.574383345749062,"endHours":17.574383345749062,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:34","end":"18:34","startHours":17.574383345749062,"endHours":18.574383345749062,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:34","end":"19:34","startHours":18.574383345749062,"endHours":19.574383345749062,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:34","end":"20:34","startHours":19.574383345749062,"endHours":20.574383345749062,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:34","end":"21:34","startHours":20.574383345749062,"endHours":21.574383345749062,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:34","end":"22:34","startHours":21.574383345749062,"endHours":22.574383345749062,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:34","end":"23:34","startHours":22.574383345749062,"endHours":23.574383345749062,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:34","end":"00:34","startHours":23.574383345749062,"endHours":24.574383345749062,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:34","end":"01:34","startHours":24.574383345749062,"endHours":25.574383345749062,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:34","end":"02:34","startHours":25.574383345749062,"endHours":26.574383345749062,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:34","end":"03:34","startHours":26.574383345749062,"endHours":27.574383345749062,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:34","end":"04:34","startHours":27.574383345749062,"endHours":28.574383345749062,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:34","end":"05:34","startHours":28.574383345749062,"endHours":29.574383345749062,"planetary_lord":"Mars"}],"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":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"West","rahuVasa":"South-East","anandadiYoga":{"name":"Dhūmra","quality":"Inauspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":21.2078293383268,"eotMinutes":-5.878934956353266,"ayanamsa":-47.5361}},"calendars":{"vikram_samvat":-3054,"saka_samvat":-3189,"bengali_samvat":-3704,"malayalam_era":-3935,"nanakshahi_year":-4580,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa 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 Kṛṣṇa Caturdaśī · Vikram -3054 undefined · Śaka -3189 undefined"},"festivals":[{"id":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Dedicated festival walk for Māsika Śivarātri is not live yet; Śukravāra (Friday) — 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 3, 3112 BCE · Mathurā · Vidhyamitra","description":"August 3, 3112 BCE for Mathurā: Kṛṣṇa Caturdaśī, sūryodaya 05:34, sūryāsta 19:16.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3111-08-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3111-08-03","sa":"https://sa.vidhyamitra.com/city/mathura/-3111-08-03","hi":"https://hi.vidhyamitra.com/city/mathura/-3111-08-03","x-default":"https://vidhyamitra.com/city/mathura/-3111-08-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-10T18:42:01.849Z","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":"2026-09-10T18:42:01.849Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-10T18:42:01.849Z","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"}}}