{"id":"vidhyamitra:city-day:mathura:-3111-10-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3111-10-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3111-10-07","date_display":"October 7, 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":10,"day":7,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":585044.770833,"kali_year":-9,"ahargana":-3420.7292,"sun":{"sidereal_longitude":227.3477,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":290.0091,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":62.6613,"elapsed_within_tithi_degrees":2.6613},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4,"moon_longitude":290.0091,"elapsed_within_degrees":10.0091},"yoga":{"number":12,"name":"Dhruva","sum_longitude":157.3568},"karana":{"half_tithi_index":10,"name":"Kaulava"},"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":-3111,"month":10,"day":7,"hour":6,"minute":30,"calendar":"julian"},"julian_day":585044.770833,"ahargana":-3420.7292,"kali_year":-9,"ayanamsa_lahiri":-47.5336,"grahas":{"sun":{"sidereal_longitude":227.3477,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":290.0091,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false,"latitude":-4.2604},"mars":{"sidereal_longitude":336.7893,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":231.3515,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":88.1494,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":true},"venus":{"sidereal_longitude":249.3134,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":243.2089,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":1.2467,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":181.2467,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","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":-3111,"month":10,"day":7,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":585044.770833,"kali_year":-9,"ahargana":-3420.7292,"sun":{"sidereal_longitude":227.3477,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":290.0091,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":62.6613,"elapsed_within_tithi_degrees":2.6613},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4,"moon_longitude":290.0091,"elapsed_within_degrees":10.0091},"yoga":{"number":12,"name":"Dhruva","sum_longitude":157.3568},"karana":{"half_tithi_index":10,"name":"Kaulava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.26,"elongation":62.661},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.26,"opposition_distance":117.339}},"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":"06:02","sunsetLocal":"18:10","solarNoonLocal":"12:06","dayLengthHours":12.130338250912931,"dayLengthDisplay":"12 Hours 07 Mins 49 Secs","nightLengthDisplay":"11 Hours 52 Mins 11 Secs","moonriseLocal":"10:59","moonsetLocal":"21:35","rahuKala":{"name":"Rāhu Kāla","start":"16:39","end":"18:10","startHours":16.654651007275355,"endHours":18.17094328863947,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:06","end":"13:37","startHours":12.105774163183007,"endHours":13.622066444547123,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:08","end":"16:39","startHours":15.138358725911239,"endHours":16.654651007275355,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:52","end":"09:17","startHours":8.87101729627289,"endHours":9.275361904636656,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:33","end":"06:52","startHours":6.546035798181245,"endHours":6.869511484872257,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:42","end":"12:31","startHours":11.70142955481924,"endHours":12.51011877154677,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:25","end":"05:14","startHours":4.423226604271482,"endHours":5.231915820999012,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:02","end":"06:02","startHours":5.029743516817129,"endHours":6.04060503772654,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:08","end":"14:56","startHours":14.127497205001827,"endHours":14.936186421729357,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:58","end":"18:22","startHours":17.97094328863947,"endHours":18.37094328863947,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:10","end":"18:41","startHours":18.17094328863947,"endHours":18.676374049094175,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:55","end":"19:40","startHours":17.92094328863947,"endHours":19.67094328863947,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:42","end":"00:31","startHours":23.701429554819242,"endHours":24.51011877154677,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:02","end":"07:33","startHours":6.04060503772654,"endHours":7.556897319090657,"quality":"inauspicious"},{"name":"Chala","start":"07:33","end":"09:04","startHours":7.556897319090657,"endHours":9.073189600454773,"quality":"neutral"},{"name":"Labha","start":"09:04","end":"10:35","startHours":9.073189600454773,"endHours":10.589481881818891,"quality":"auspicious"},{"name":"Amṛta","start":"10:35","end":"12:06","startHours":10.589481881818891,"endHours":12.105774163183007,"quality":"auspicious"},{"name":"Kāla","start":"12:06","end":"13:37","startHours":12.105774163183007,"endHours":13.622066444547123,"quality":"inauspicious"},{"name":"Śubha","start":"13:37","end":"15:08","startHours":13.622066444547123,"endHours":15.138358725911239,"quality":"auspicious"},{"name":"Roga","start":"15:08","end":"16:39","startHours":15.138358725911239,"endHours":16.654651007275355,"quality":"inauspicious"},{"name":"Udveg","start":"16:39","end":"18:10","startHours":16.654651007275355,"endHours":18.17094328863947,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:10","end":"19:39","startHours":18.17094328863947,"endHours":19.654651007275355,"quality":"auspicious"},{"name":"Roga","start":"19:39","end":"21:08","startHours":19.654651007275355,"endHours":21.13835872591124,"quality":"inauspicious"},{"name":"Udveg","start":"21:08","end":"22:37","startHours":21.13835872591124,"endHours":22.622066444547123,"quality":"inauspicious"},{"name":"Chala","start":"22:37","end":"00:06","startHours":22.622066444547123,"endHours":24.105774163183007,"quality":"neutral"},{"name":"Labha","start":"00:06","end":"01:35","startHours":24.105774163183007,"endHours":25.58948188181889,"quality":"auspicious"},{"name":"Amṛta","start":"01:35","end":"03:04","startHours":25.58948188181889,"endHours":27.07318960045477,"quality":"auspicious"},{"name":"Kāla","start":"03:04","end":"04:33","startHours":27.07318960045477,"endHours":28.556897319090655,"quality":"inauspicious"},{"name":"Śubha","start":"04:33","end":"06:02","startHours":28.556897319090655,"endHours":30.04060503772654,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:02","end":"07:02","startHours":6.04060503772654,"endHours":7.04060503772654,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:02","end":"08:02","startHours":7.04060503772654,"endHours":8.04060503772654,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:02","end":"09:02","startHours":8.04060503772654,"endHours":9.04060503772654,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:02","end":"10:02","startHours":9.04060503772654,"endHours":10.04060503772654,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:02","end":"11:02","startHours":10.04060503772654,"endHours":11.04060503772654,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:02","end":"12:02","startHours":11.04060503772654,"endHours":12.04060503772654,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:02","end":"13:02","startHours":12.04060503772654,"endHours":13.04060503772654,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:02","end":"14:02","startHours":13.04060503772654,"endHours":14.04060503772654,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:02","end":"15:02","startHours":14.04060503772654,"endHours":15.04060503772654,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:02","end":"16:02","startHours":15.04060503772654,"endHours":16.04060503772654,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:02","end":"17:02","startHours":16.04060503772654,"endHours":17.04060503772654,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:02","end":"18:02","startHours":17.04060503772654,"endHours":18.04060503772654,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:02","end":"19:02","startHours":18.04060503772654,"endHours":19.04060503772654,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:02","end":"20:02","startHours":19.04060503772654,"endHours":20.04060503772654,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:02","end":"21:02","startHours":20.04060503772654,"endHours":21.04060503772654,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:02","end":"22:02","startHours":21.04060503772654,"endHours":22.04060503772654,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:02","end":"23:02","startHours":22.04060503772654,"endHours":23.04060503772654,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:02","end":"00:02","startHours":23.04060503772654,"endHours":24.04060503772654,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:02","end":"01:02","startHours":24.04060503772654,"endHours":25.04060503772654,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:02","end":"02:02","startHours":25.04060503772654,"endHours":26.04060503772654,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:02","end":"03:02","startHours":26.04060503772654,"endHours":27.04060503772654,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:02","end":"04:02","startHours":27.04060503772654,"endHours":28.04060503772654,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:02","end":"05:02","startHours":28.04060503772654,"endHours":29.04060503772654,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:02","end":"06:02","startHours":29.04060503772654,"endHours":30.04060503772654,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":0.073938355324929,"eotMinutes":12.958750209019716,"ayanamsa":-47.5336}},"calendars":{"vikram_samvat":-3054,"saka_samvat":-3189,"bengali_samvat":-3704,"malayalam_era":-3935,"nanakshahi_year":-4580,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Ṣaṣṭhī · Vikram -3054 undefined · Śaka -3189 undefined"},"festivals":[{"id":"skanda-shashthi","name":"Skanda Ṣaṣṭhī","name_sanskrit":"स्कन्द षष्ठी","tradition":"Shaiva","associated_deity":"Kārttikeya / Skanda / Murugan","significance":"Kārttikeya's victory over Tāraka. Important Shaiva day in Tamil tradition.","vrata":true,"detection":{"tithi_number":6,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":3}],"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 Skanda Ṣaṣṭhī 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 October 7, 3112 BCE · Mathurā · Vidhyamitra","description":"October 7, 3112 BCE for Mathurā: Śukla Ṣaṣṭhī, sūryodaya 06:02, sūryāsta 18:10.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3111-10-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3111-10-07","sa":"https://sa.vidhyamitra.com/city/mathura/-3111-10-07","hi":"https://hi.vidhyamitra.com/city/mathura/-3111-10-07","x-default":"https://vidhyamitra.com/city/mathura/-3111-10-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-06T11:34:52.346Z","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":"2026-09-06T11:34:52.346Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-06T11:34:52.346Z","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"}}}