{"id":"vidhyamitra:city-day:mathura:-3149-08-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3149-08-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3149-08-04","date_display":"August 4, 3150 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":-3149,"month":8,"day":4,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":571100.770833,"kali_year":-47,"ahargana":-17364.7292,"sun":{"sidereal_longitude":162.9129,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":158.6114,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":355.6985,"elapsed_within_tithi_degrees":7.6985},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4,"moon_longitude":158.6114,"elapsed_within_degrees":11.9447},"yoga":{"number":25,"name":"Brahma","sum_longitude":321.5243},"karana":{"half_tithi_index":59,"name":"Nāga"},"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":-3149,"month":8,"day":4,"hour":6,"minute":30,"calendar":"julian"},"julian_day":571100.770833,"ahargana":-17364.7292,"kali_year":-47,"ayanamsa_lahiri":-48.0669,"grahas":{"sun":{"sidereal_longitude":162.9129,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"moon":{"sidereal_longitude":158.6114,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false,"latitude":2.9775},"mars":{"sidereal_longitude":218.5753,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":181.3969,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":2.3233,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":true},"venus":{"sidereal_longitude":201.4278,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":150.135,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":20.0669,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":200.0669,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","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":-3149,"month":8,"day":4,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":571100.770833,"kali_year":-47,"ahargana":-17364.7292,"sun":{"sidereal_longitude":162.9129,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":158.6114,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":355.6985,"elapsed_within_tithi_degrees":7.6985},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4,"moon_longitude":158.6114,"elapsed_within_degrees":11.9447},"yoga":{"number":25,"name":"Brahma","sum_longitude":321.5243},"karana":{"half_tithi_index":59,"name":"Nāga"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.977,"elongation":4.301},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.977,"opposition_distance":175.699}},"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":"05:35","sunsetLocal":"19:16","solarNoonLocal":"12:25","dayLengthHours":13.686467735671211,"dayLengthDisplay":"13 Hours 41 Mins 11 Secs","nightLengthDisplay":"10 Hours 18 Mins 49 Secs","moonriseLocal":"05:17","moonsetLocal":"18:59","rahuKala":{"name":"Rāhu Kāla","start":"17:33","end":"19:16","startHours":17.55074315861067,"endHours":19.26155162556957,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:25","end":"14:08","startHours":12.418317757733963,"endHours":14.129126224692865,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:50","end":"17:33","startHours":15.839934691651766,"endHours":17.55074315861067,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:46","end":"09:13","startHours":8.768593028221641,"endHours":9.22480861941068,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:09","end":"06:31","startHours":6.145353378884659,"endHours":6.5103258518358915,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:52","startHours":11.962102166544923,"endHours":12.874533348923006,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:45","end":"04:40","startHours":3.750221525142196,"endHours":4.6626527075202775,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:26","end":"05:35","startHours":4.434544911925757,"endHours":5.575083889898358,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.699395713679166,"endHours":15.611826896057247,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:04","end":"19:28","startHours":19.06155162556957,"endHours":19.46155162556957,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:16","end":"19:50","startHours":19.26155162556957,"endHours":19.831821114555872,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:01","end":"20:46","startHours":19.01155162556957,"endHours":20.76155162556957,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:52","startHours":23.962102166544927,"endHours":24.874533348923006,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:35","end":"07:17","startHours":5.575083889898358,"endHours":7.285892356857259,"quality":"inauspicious"},{"name":"Chala","start":"07:17","end":"09:00","startHours":7.285892356857259,"endHours":8.99670082381616,"quality":"neutral"},{"name":"Labha","start":"09:00","end":"10:42","startHours":8.99670082381616,"endHours":10.70750929077506,"quality":"auspicious"},{"name":"Amṛta","start":"10:42","end":"12:25","startHours":10.70750929077506,"endHours":12.418317757733963,"quality":"auspicious"},{"name":"Kāla","start":"12:25","end":"14:08","startHours":12.418317757733963,"endHours":14.129126224692865,"quality":"inauspicious"},{"name":"Śubha","start":"14:08","end":"15:50","startHours":14.129126224692865,"endHours":15.839934691651766,"quality":"auspicious"},{"name":"Roga","start":"15:50","end":"17:33","startHours":15.839934691651766,"endHours":17.55074315861067,"quality":"inauspicious"},{"name":"Udveg","start":"17:33","end":"19:16","startHours":17.55074315861067,"endHours":19.26155162556957,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"19:16","end":"20:33","startHours":19.26155162556957,"endHours":20.55074315861067,"quality":"auspicious"},{"name":"Roga","start":"20:33","end":"21:50","startHours":20.55074315861067,"endHours":21.839934691651766,"quality":"inauspicious"},{"name":"Udveg","start":"21:50","end":"23:08","startHours":21.839934691651766,"endHours":23.129126224692865,"quality":"inauspicious"},{"name":"Chala","start":"23:08","end":"00:25","startHours":23.129126224692865,"endHours":24.418317757733966,"quality":"neutral"},{"name":"Labha","start":"00:25","end":"01:42","startHours":24.418317757733966,"endHours":25.707509290775064,"quality":"auspicious"},{"name":"Amṛta","start":"01:42","end":"03:00","startHours":25.707509290775064,"endHours":26.996700823816163,"quality":"auspicious"},{"name":"Kāla","start":"03:00","end":"04:17","startHours":26.996700823816163,"endHours":28.28589235685726,"quality":"inauspicious"},{"name":"Śubha","start":"04:17","end":"05:35","startHours":28.28589235685726,"endHours":29.57508388989836,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:35","end":"06:35","startHours":5.575083889898358,"endHours":6.575083889898358,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:35","end":"07:35","startHours":6.575083889898358,"endHours":7.575083889898358,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:35","end":"08:35","startHours":7.575083889898358,"endHours":8.575083889898359,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:35","end":"09:35","startHours":8.575083889898359,"endHours":9.575083889898359,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:35","end":"10:35","startHours":9.575083889898359,"endHours":10.575083889898359,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:35","end":"11:35","startHours":10.575083889898359,"endHours":11.575083889898359,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:35","end":"12:35","startHours":11.575083889898359,"endHours":12.575083889898359,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:35","end":"13:35","startHours":12.575083889898359,"endHours":13.575083889898359,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:35","end":"14:35","startHours":13.575083889898359,"endHours":14.575083889898359,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:35","end":"15:35","startHours":14.575083889898359,"endHours":15.575083889898359,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:35","end":"16:35","startHours":15.575083889898359,"endHours":16.57508388989836,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:35","end":"17:35","startHours":16.57508388989836,"endHours":17.57508388989836,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:35","end":"18:35","startHours":17.57508388989836,"endHours":18.57508388989836,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:35","end":"19:35","startHours":18.57508388989836,"endHours":19.57508388989836,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:35","end":"20:35","startHours":19.57508388989836,"endHours":20.57508388989836,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:35","end":"21:35","startHours":20.57508388989836,"endHours":21.57508388989836,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:35","end":"22:35","startHours":21.57508388989836,"endHours":22.57508388989836,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:35","end":"23:35","startHours":22.57508388989836,"endHours":23.57508388989836,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:35","end":"00:35","startHours":23.57508388989836,"endHours":24.57508388989836,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:35","end":"01:35","startHours":24.57508388989836,"endHours":25.57508388989836,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:35","end":"02:35","startHours":25.57508388989836,"endHours":26.57508388989836,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:35","end":"03:35","startHours":26.57508388989836,"endHours":27.57508388989836,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:35","end":"04:35","startHours":27.57508388989836,"endHours":28.57508388989836,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:35","end":"05:35","startHours":28.57508388989836,"endHours":29.57508388989836,"planetary_lord":"Jupiter"}],"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":"West (Paścim)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Maitra","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":21.156615881987115,"eotMinutes":-5.793865464037833,"ayanamsa":-48.0669}},"calendars":{"vikram_samvat":-3092,"saka_samvat":-3227,"bengali_samvat":-3742,"malayalam_era":-3973,"nanakshahi_year":-4618,"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 -3092 undefined · Śaka -3227 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":"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":"Dedicated festival walk for Mahālaya Amāvasyā (Sarvapitṛ Amāvasyā) is not live yet; 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 4, 3150 BCE · Mathurā · Vidhyamitra","description":"August 4, 3150 BCE for Mathurā: Kṛṣṇa Amāvasyā, sūryodaya 05:35, sūryāsta 19:16.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3149-08-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3149-08-04","sa":"https://sa.vidhyamitra.com/city/mathura/-3149-08-04","hi":"https://hi.vidhyamitra.com/city/mathura/-3149-08-04","x-default":"https://vidhyamitra.com/city/mathura/-3149-08-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T10:54:26.417Z","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":"2026-08-10T10:54:26.417Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T10:54:26.417Z","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":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","reader-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"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"}}}