{"id":"vidhyamitra:city-day:mathura:-3187-08-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3187-08-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3187-08-03","date_display":"August 3, 3188 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":-3187,"month":8,"day":3,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":557220.770833,"kali_year":-85,"ahargana":-31244.7292,"sun":{"sidereal_longitude":162.7485,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":152.9023,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":350.1538,"elapsed_within_tithi_degrees":2.1538},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2,"moon_longitude":152.9023,"elapsed_within_degrees":6.2357},"yoga":{"number":24,"name":"Śukla","sum_longitude":315.6508},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":-3187,"month":8,"day":3,"hour":6,"minute":30,"calendar":"julian"},"julian_day":557220.770833,"ahargana":-31244.7292,"kali_year":-85,"ayanamsa_lahiri":-48.5978,"grahas":{"sun":{"sidereal_longitude":162.7485,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"moon":{"sidereal_longitude":152.9023,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false,"latitude":3.9941},"mars":{"sidereal_longitude":172.54,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":188.799,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":268.4256,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":167.9583,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":true},"saturn":{"sidereal_longitude":36.5536,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":35.4961,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":215.4961,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"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":-3187,"month":8,"day":3,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":557220.770833,"kali_year":-85,"ahargana":-31244.7292,"sun":{"sidereal_longitude":162.7485,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":152.9023,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":350.1538,"elapsed_within_tithi_degrees":2.1538},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2,"moon_longitude":152.9023,"elapsed_within_degrees":6.2357},"yoga":{"number":24,"name":"Śukla","sum_longitude":315.6508},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.994,"elongation":9.846},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.994,"opposition_distance":170.154}},"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":"05:34","sunsetLocal":"19:16","solarNoonLocal":"12:25","dayLengthHours":13.696650166971644,"dayLengthDisplay":"13 Hours 41 Mins 48 Secs","nightLengthDisplay":"10 Hours 18 Mins 12 Secs","moonriseLocal":"04:53","moonsetLocal":"18:39","rahuKala":{"name":"Rāhu Kāla","start":"07:17","end":"09:00","startHours":7.283491769991521,"endHours":8.995573040862975,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:42","end":"12:25","startHours":10.707654311734432,"endHours":12.419735582605888,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:08","end":"15:51","startHours":14.131816853477343,"endHours":15.843898124348797,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:46","end":"09:13","startHours":8.767295538080116,"endHours":9.223850543645836,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:09","end":"06:30","startHours":6.142104256077217,"endHours":6.5073482605297945,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:53","startHours":11.963180577040166,"endHours":12.87629058817161,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:45","end":"04:39","startHours":3.7451904768571795,"endHours":4.6583004879886225,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:26","end":"05:34","startHours":4.4300229852057615,"endHours":5.5714104991200655,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.702510610434494,"endHours":15.615620621565936,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:04","end":"19:28","startHours":19.06806066609171,"endHours":19.46806066609171,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:16","end":"19:50","startHours":19.26806066609171,"endHours":19.83875442304886,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:01","end":"20:46","startHours":19.01806066609171,"endHours":20.76806066609171,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:53","startHours":23.963180577040166,"endHours":24.87629058817161,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:34","end":"07:17","startHours":5.5714104991200655,"endHours":7.283491769991521,"quality":"auspicious"},{"name":"Kāla","start":"07:17","end":"09:00","startHours":7.283491769991521,"endHours":8.995573040862975,"quality":"inauspicious"},{"name":"Śubha","start":"09:00","end":"10:42","startHours":8.995573040862975,"endHours":10.707654311734432,"quality":"auspicious"},{"name":"Roga","start":"10:42","end":"12:25","startHours":10.707654311734432,"endHours":12.419735582605888,"quality":"inauspicious"},{"name":"Udveg","start":"12:25","end":"14:08","startHours":12.419735582605888,"endHours":14.131816853477343,"quality":"inauspicious"},{"name":"Chala","start":"14:08","end":"15:51","startHours":14.131816853477343,"endHours":15.843898124348797,"quality":"neutral"},{"name":"Labha","start":"15:51","end":"17:33","startHours":15.843898124348797,"endHours":17.555979395220255,"quality":"auspicious"},{"name":"Amṛta","start":"17:33","end":"19:16","startHours":17.555979395220255,"endHours":19.26806066609171,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:16","end":"20:33","startHours":19.26806066609171,"endHours":20.555979395220255,"quality":"neutral"},{"name":"Labha","start":"20:33","end":"21:51","startHours":20.555979395220255,"endHours":21.843898124348797,"quality":"auspicious"},{"name":"Amṛta","start":"21:51","end":"23:08","startHours":21.843898124348797,"endHours":23.131816853477343,"quality":"auspicious"},{"name":"Kāla","start":"23:08","end":"00:25","startHours":23.131816853477343,"endHours":24.419735582605888,"quality":"inauspicious"},{"name":"Śubha","start":"00:25","end":"01:42","startHours":24.419735582605888,"endHours":25.707654311734434,"quality":"auspicious"},{"name":"Roga","start":"01:42","end":"03:00","startHours":25.707654311734434,"endHours":26.99557304086298,"quality":"inauspicious"},{"name":"Udveg","start":"03:00","end":"04:17","startHours":26.99557304086298,"endHours":28.28349176999152,"quality":"inauspicious"},{"name":"Chala","start":"04:17","end":"05:34","startHours":28.28349176999152,"endHours":29.571410499120066,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:34","end":"06:34","startHours":5.5714104991200655,"endHours":6.5714104991200655,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:34","end":"07:34","startHours":6.5714104991200655,"endHours":7.5714104991200655,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:34","end":"08:34","startHours":7.5714104991200655,"endHours":8.571410499120066,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:34","end":"09:34","startHours":8.571410499120066,"endHours":9.571410499120066,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:34","end":"10:34","startHours":9.571410499120066,"endHours":10.571410499120066,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:34","end":"11:34","startHours":10.571410499120066,"endHours":11.571410499120066,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:34","end":"12:34","startHours":11.571410499120066,"endHours":12.571410499120066,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:34","end":"13:34","startHours":12.571410499120066,"endHours":13.571410499120066,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:34","end":"14:34","startHours":13.571410499120066,"endHours":14.571410499120066,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:34","end":"15:34","startHours":14.571410499120066,"endHours":15.571410499120066,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:34","end":"16:34","startHours":15.571410499120066,"endHours":16.571410499120066,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:34","end":"17:34","startHours":16.571410499120066,"endHours":17.571410499120066,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:34","end":"18:34","startHours":17.571410499120066,"endHours":18.571410499120066,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:34","end":"19:34","startHours":18.571410499120066,"endHours":19.571410499120066,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:34","end":"20:34","startHours":19.571410499120066,"endHours":20.571410499120066,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:34","end":"21:34","startHours":20.571410499120066,"endHours":21.571410499120066,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:34","end":"22:34","startHours":21.571410499120066,"endHours":22.571410499120066,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:34","end":"23:34","startHours":22.571410499120066,"endHours":23.571410499120066,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:34","end":"00:34","startHours":23.571410499120066,"endHours":24.571410499120066,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:34","end":"01:34","startHours":24.571410499120066,"endHours":25.571410499120066,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:34","end":"02:34","startHours":25.571410499120066,"endHours":26.571410499120066,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:34","end":"03:34","startHours":26.571410499120066,"endHours":27.571410499120066,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:34","end":"04:34","startHours":27.571410499120066,"endHours":28.571410499120066,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:34","end":"05:34","startHours":28.571410499120066,"endHours":29.571410499120066,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"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":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Utpāta","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":21.279627670196508,"eotMinutes":-5.878934956353266,"ayanamsa":-48.5978}},"calendars":{"vikram_samvat":-3130,"saka_samvat":-3265,"bengali_samvat":-3780,"malayalam_era":-4011,"nanakshahi_year":-4656,"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 Amāvasyā · Vikram -3130 undefined · Śaka -3265 undefined"},"festivals":[{"id":"mahalaya-amavasya","name":"Mahālaya Amāvasyā (Sarvapitṛ Amāvasyā)","name_sanskrit":"महालय अमावस्या","tradition":"Pan-Hindu","associated_deity":"Pitṛ-deva","significance":"Final day of Pitṛ-Pakṣa; tarpaṇa for all ancestors.","vrata":true,"detection":{"tithi_number":30,"tithi_paksha":"Kṛṣṇa","lunar_month":"Āśvina"},"precedence":1}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7, 6.34-35.","step_count":5,"url":"/walk/chandra-walk","steps":[{"label":"BG 6.5","url":"/bhagavad-gita/6/5","purpose":"Lift the self by the Self; begin the walk with inner responsibility."},{"label":"BG 6.6","url":"/bhagavad-gita/6/6","purpose":"See the mind as friend when mastered and enemy when unmastered."},{"label":"BG 6.7","url":"/bhagavad-gita/6/7","purpose":"Stabilize the conquered mind in heat/cold, honor/dishonor, pleasure/pain."},{"label":"BG 6.34","url":"/bhagavad-gita/6/34","purpose":"Name the restless mind honestly before trying to discipline it."},{"label":"BG 6.35","url":"/bhagavad-gita/6/35","purpose":"Complete with abhyāsa and vairāgya: practice and detachment."}]},"reason":"Dedicated festival walk for Mahālaya Amāvasyā (Sarvapitṛ Amāvasyā) is not live yet; Somavāra (Monday) — 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, 3188 BCE · Mathurā · Vidhyamitra","description":"August 3, 3188 BCE for Mathurā: Kṛṣṇa Amāvasyā, sūryodaya 05:34, sūryāsta 19:16.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3187-08-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3187-08-03","sa":"https://sa.vidhyamitra.com/city/mathura/-3187-08-03","hi":"https://hi.vidhyamitra.com/city/mathura/-3187-08-03","x-default":"https://vidhyamitra.com/city/mathura/-3187-08-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-11T19:52:32.674Z","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":"2026-09-11T19:52:32.674Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-11T19:52:32.674Z","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"}}}