{"id":"vidhyamitra:city-day:mathura:-3137-08-17:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3137-08-17","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3137-08-17","date_display":"August 17, 3138 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":-3137,"month":8,"day":17,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":575496.770833,"kali_year":-35,"ahargana":-12968.7292,"sun":{"sidereal_longitude":175.643,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":115.3495,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":299.7065,"elapsed_within_tithi_degrees":11.7065},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3,"moon_longitude":115.3495,"elapsed_within_degrees":8.6829},"yoga":{"number":22,"name":"Sādhya","sum_longitude":290.9926},"karana":{"half_tithi_index":49,"name":"Viṣṭi"},"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":-3137,"month":8,"day":17,"hour":6,"minute":30,"calendar":"julian"},"julian_day":575496.770833,"ahargana":-12968.7292,"kali_year":-35,"ayanamsa_lahiri":-47.8988,"grahas":{"sun":{"sidereal_longitude":175.643,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":115.3495,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3},"retrograde":false,"latitude":-2.3693},"mars":{"sidereal_longitude":94.8677,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":187.9761,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":6.2064,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":true},"venus":{"sidereal_longitude":145.9053,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":273.7218,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":147.1457,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":327.1457,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"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":-3137,"month":8,"day":17,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":575496.770833,"kali_year":-35,"ahargana":-12968.7292,"sun":{"sidereal_longitude":175.643,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":115.3495,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":299.7065,"elapsed_within_tithi_degrees":11.7065},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3,"moon_longitude":115.3495,"elapsed_within_degrees":8.6829},"yoga":{"number":22,"name":"Sādhya","sum_longitude":290.9926},"karana":{"half_tithi_index":49,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.369,"elongation":60.293},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.369,"opposition_distance":119.707}},"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":"05:39","sunsetLocal":"19:07","solarNoonLocal":"12:23","dayLengthHours":13.457909260697317,"dayLengthDisplay":"13 Hours 27 Mins 28 Secs","nightLengthDisplay":"10 Hours 32 Mins 32 Secs","moonriseLocal":"01:32","moonsetLocal":"15:12","rahuKala":{"name":"Rāhu Kāla","start":"17:26","end":"19:07","startHours":17.431028998663457,"endHours":19.113267656250624,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:23","end":"14:04","startHours":12.384313025901964,"endHours":14.06655168348913,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:45","end":"17:26","startHours":15.748790341076294,"endHours":17.431028998663457,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:48","end":"09:15","startHours":8.795537223049347,"endHours":9.244134198405924,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:13","end":"06:34","startHours":6.216104614749028,"endHours":6.57498219503429,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:50","startHours":11.935716050545388,"endHours":12.832910001258544,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:52","end":"04:45","startHours":3.860970494126997,"endHours":4.758164444840152,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:32","end":"05:39","startHours":4.533865957161863,"endHours":5.655358395553306,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:38","end":"15:31","startHours":14.627297902684852,"endHours":15.524491853398006,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:55","end":"19:19","startHours":18.913267656250625,"endHours":19.313267656250623,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:07","end":"19:40","startHours":19.113267656250624,"endHours":19.674013875446345,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:52","end":"20:37","startHours":18.863267656250624,"endHours":20.613267656250624,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:50","startHours":23.93571605054539,"endHours":24.832910001258544,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:39","end":"07:20","startHours":5.655358395553306,"endHours":7.33759705314047,"quality":"inauspicious"},{"name":"Chala","start":"07:20","end":"09:01","startHours":7.33759705314047,"endHours":9.019835710727635,"quality":"neutral"},{"name":"Labha","start":"09:01","end":"10:42","startHours":9.019835710727635,"endHours":10.7020743683148,"quality":"auspicious"},{"name":"Amṛta","start":"10:42","end":"12:23","startHours":10.7020743683148,"endHours":12.384313025901964,"quality":"auspicious"},{"name":"Kāla","start":"12:23","end":"14:04","startHours":12.384313025901964,"endHours":14.06655168348913,"quality":"inauspicious"},{"name":"Śubha","start":"14:04","end":"15:45","startHours":14.06655168348913,"endHours":15.748790341076294,"quality":"auspicious"},{"name":"Roga","start":"15:45","end":"17:26","startHours":15.748790341076294,"endHours":17.431028998663457,"quality":"inauspicious"},{"name":"Udveg","start":"17:26","end":"19:07","startHours":17.431028998663457,"endHours":19.113267656250624,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"19:07","end":"20:26","startHours":19.113267656250624,"endHours":20.43102899866346,"quality":"auspicious"},{"name":"Roga","start":"20:26","end":"21:45","startHours":20.43102899866346,"endHours":21.748790341076294,"quality":"inauspicious"},{"name":"Udveg","start":"21:45","end":"23:04","startHours":21.748790341076294,"endHours":23.06655168348913,"quality":"inauspicious"},{"name":"Chala","start":"23:04","end":"00:23","startHours":23.06655168348913,"endHours":24.384313025901967,"quality":"neutral"},{"name":"Labha","start":"00:23","end":"01:42","startHours":24.384313025901967,"endHours":25.7020743683148,"quality":"auspicious"},{"name":"Amṛta","start":"01:42","end":"03:01","startHours":25.7020743683148,"endHours":27.019835710727637,"quality":"auspicious"},{"name":"Kāla","start":"03:01","end":"04:20","startHours":27.019835710727637,"endHours":28.33759705314047,"quality":"inauspicious"},{"name":"Śubha","start":"04:20","end":"05:39","startHours":28.33759705314047,"endHours":29.655358395553307,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:39","end":"06:39","startHours":5.655358395553306,"endHours":6.655358395553306,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:39","end":"07:39","startHours":6.655358395553306,"endHours":7.655358395553306,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:39","end":"08:39","startHours":7.655358395553306,"endHours":8.655358395553307,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:39","end":"09:39","startHours":8.655358395553307,"endHours":9.655358395553307,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:39","end":"10:39","startHours":9.655358395553307,"endHours":10.655358395553307,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:39","end":"11:39","startHours":10.655358395553307,"endHours":11.655358395553307,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:39","end":"12:39","startHours":11.655358395553307,"endHours":12.655358395553307,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:39","end":"13:39","startHours":12.655358395553307,"endHours":13.655358395553307,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:39","end":"14:39","startHours":13.655358395553307,"endHours":14.655358395553307,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:39","end":"15:39","startHours":14.655358395553307,"endHours":15.655358395553307,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:39","end":"16:39","startHours":15.655358395553307,"endHours":16.655358395553307,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:39","end":"17:39","startHours":16.655358395553307,"endHours":17.655358395553307,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:39","end":"18:39","startHours":17.655358395553307,"endHours":18.655358395553307,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:39","end":"19:39","startHours":18.655358395553307,"endHours":19.655358395553307,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:39","end":"20:39","startHours":19.655358395553307,"endHours":20.655358395553307,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:39","end":"21:39","startHours":20.655358395553307,"endHours":21.655358395553307,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:39","end":"22:39","startHours":21.655358395553307,"endHours":22.655358395553307,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:39","end":"23:39","startHours":22.655358395553307,"endHours":23.655358395553307,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:39","end":"00:39","startHours":23.655358395553307,"endHours":24.655358395553307,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:39","end":"01:39","startHours":24.655358395553307,"endHours":25.655358395553307,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:39","end":"02:39","startHours":25.655358395553307,"endHours":26.655358395553307,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:39","end":"03:39","startHours":26.655358395553307,"endHours":27.655358395553307,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:39","end":"04:39","startHours":27.655358395553307,"endHours":28.655358395553307,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:39","end":"05:39","startHours":28.655358395553307,"endHours":29.655358395553307,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.33108807069805,"eotMinutes":-3.7535815541179196,"ayanamsa":-47.8988}},"calendars":{"vikram_samvat":-3080,"saka_samvat":-3215,"bengali_samvat":-3730,"malayalam_era":-3961,"nanakshahi_year":-4606,"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 Daśamī · Vikram -3080 undefined · Śaka -3215 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 17, 3138 BCE · Mathurā · Vidhyamitra","description":"August 17, 3138 BCE for Mathurā: Kṛṣṇa Daśamī, sūryodaya 05:39, sūryāsta 19:07.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3137-08-17","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3137-08-17","sa":"https://sa.vidhyamitra.com/city/mathura/-3137-08-17","hi":"https://hi.vidhyamitra.com/city/mathura/-3137-08-17","x-default":"https://vidhyamitra.com/city/mathura/-3137-08-17"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-09T02:59:00.211Z","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":"2026-09-09T02:59:00.211Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-09T02:59:00.211Z","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"}}}