{"id":"vidhyamitra:city-day:mathura:-3111-10-30:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3111-10-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3111-10-30","date_display":"October 30, 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":30,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":585067.770833,"kali_year":-9,"ahargana":-3397.7292,"sun":{"sidereal_longitude":250.9389,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":228.2365,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":337.2976,"elapsed_within_tithi_degrees":1.2976},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1,"moon_longitude":228.2365,"elapsed_within_degrees":1.5698},"yoga":{"number":9,"name":"Śūla","sum_longitude":119.1753},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":30,"hour":6,"minute":30,"calendar":"julian"},"julian_day":585067.770833,"ahargana":-3397.7292,"kali_year":-9,"ayanamsa_lahiri":-47.5328,"grahas":{"sun":{"sidereal_longitude":250.9389,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"moon":{"sidereal_longitude":228.2365,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false,"latitude":-3.3535},"mars":{"sidereal_longitude":348.6472,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":227.9329,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":85.7041,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":true},"venus":{"sidereal_longitude":278.0982,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":245.8651,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":0.028,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":180.028,"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":30,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":585067.770833,"kali_year":-9,"ahargana":-3397.7292,"sun":{"sidereal_longitude":250.9389,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":228.2365,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":337.2976,"elapsed_within_tithi_degrees":1.2976},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1,"moon_longitude":228.2365,"elapsed_within_degrees":1.5698},"yoga":{"number":9,"name":"Śūla","sum_longitude":119.1753},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.354,"elongation":22.702},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.354,"opposition_distance":157.298}},"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":"06:18","sunsetLocal":"17:48","solarNoonLocal":"12:03","dayLengthHours":11.490299012980843,"dayLengthDisplay":"11 Hours 29 Mins 25 Secs","nightLengthDisplay":"12 Hours 30 Mins 35 Secs","moonriseLocal":"04:30","moonsetLocal":"16:34","rahuKala":{"name":"Rāhu Kāla","start":"14:55","end":"16:21","startHours":14.92016452209078,"endHours":16.356451898713384,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:11","end":"10:37","startHours":9.175015015600357,"endHours":10.611302392222964,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:03","end":"13:29","startHours":12.047589768845569,"endHours":13.483877145468174,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:59","end":"09:22","startHours":8.983510032050678,"endHours":9.366519999150038,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:47","end":"07:05","startHours":6.781202721229348,"endHours":7.087610694908837,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:40","end":"12:26","startHours":11.664579801746205,"endHours":12.430599735944929,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:46","end":"05:32","startHours":4.770400393957701,"endHours":5.5364203281564235,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:21","end":"06:18","startHours":5.344915344606743,"endHours":6.302440262355146,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:58","end":"14:44","startHours":13.962639604342375,"endHours":14.728659538541098,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:36","end":"18:00","startHours":17.59273927533599,"endHours":17.99273927533599,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:48","end":"18:16","startHours":17.79273927533599,"endHours":18.27150173421019,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:33","end":"19:18","startHours":17.54273927533599,"endHours":19.29273927533599,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:40","end":"00:26","startHours":23.664579801746207,"endHours":24.43059973594493,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:18","end":"07:44","startHours":6.302440262355146,"endHours":7.7387276389777515,"quality":"inauspicious"},{"name":"Udveg","start":"07:44","end":"09:11","startHours":7.7387276389777515,"endHours":9.175015015600357,"quality":"inauspicious"},{"name":"Chala","start":"09:11","end":"10:37","startHours":9.175015015600357,"endHours":10.611302392222964,"quality":"neutral"},{"name":"Labha","start":"10:37","end":"12:03","startHours":10.611302392222964,"endHours":12.047589768845569,"quality":"auspicious"},{"name":"Amṛta","start":"12:03","end":"13:29","startHours":12.047589768845569,"endHours":13.483877145468174,"quality":"auspicious"},{"name":"Kāla","start":"13:29","end":"14:55","startHours":13.483877145468174,"endHours":14.92016452209078,"quality":"inauspicious"},{"name":"Śubha","start":"14:55","end":"16:21","startHours":14.92016452209078,"endHours":16.356451898713384,"quality":"auspicious"},{"name":"Roga","start":"16:21","end":"17:48","startHours":16.356451898713384,"endHours":17.79273927533599,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:48","end":"19:21","startHours":17.79273927533599,"endHours":19.356451898713384,"quality":"inauspicious"},{"name":"Śubha","start":"19:21","end":"20:55","startHours":19.356451898713384,"endHours":20.92016452209078,"quality":"auspicious"},{"name":"Roga","start":"20:55","end":"22:29","startHours":20.92016452209078,"endHours":22.483877145468174,"quality":"inauspicious"},{"name":"Udveg","start":"22:29","end":"00:03","startHours":22.483877145468174,"endHours":24.04758976884557,"quality":"inauspicious"},{"name":"Chala","start":"00:03","end":"01:37","startHours":24.04758976884557,"endHours":25.611302392222964,"quality":"neutral"},{"name":"Labha","start":"01:37","end":"03:11","startHours":25.611302392222964,"endHours":27.17501501560036,"quality":"auspicious"},{"name":"Amṛta","start":"03:11","end":"04:44","startHours":27.17501501560036,"endHours":28.73872763897775,"quality":"auspicious"},{"name":"Kāla","start":"04:44","end":"06:18","startHours":28.73872763897775,"endHours":30.302440262355148,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:18","end":"07:18","startHours":6.302440262355146,"endHours":7.302440262355146,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:18","end":"08:18","startHours":7.302440262355146,"endHours":8.302440262355146,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:18","end":"09:18","startHours":8.302440262355146,"endHours":9.302440262355146,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:18","end":"10:18","startHours":9.302440262355146,"endHours":10.302440262355146,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:18","end":"11:18","startHours":10.302440262355146,"endHours":11.302440262355146,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:18","end":"12:18","startHours":11.302440262355146,"endHours":12.302440262355146,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:18","end":"13:18","startHours":12.302440262355146,"endHours":13.302440262355146,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:18","end":"14:18","startHours":13.302440262355146,"endHours":14.302440262355146,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:18","end":"15:18","startHours":14.302440262355146,"endHours":15.302440262355146,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:18","end":"16:18","startHours":15.302440262355146,"endHours":16.302440262355148,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:18","end":"17:18","startHours":16.302440262355148,"endHours":17.302440262355148,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:18","end":"18:18","startHours":17.302440262355148,"endHours":18.302440262355148,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:18","end":"19:18","startHours":18.302440262355148,"endHours":19.302440262355148,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:18","end":"20:18","startHours":19.302440262355148,"endHours":20.302440262355148,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:18","end":"21:18","startHours":20.302440262355148,"endHours":21.302440262355148,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:18","end":"22:18","startHours":21.302440262355148,"endHours":22.302440262355148,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:18","end":"23:18","startHours":22.302440262355148,"endHours":23.302440262355148,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:18","end":"00:18","startHours":23.302440262355148,"endHours":24.302440262355148,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:18","end":"01:18","startHours":24.302440262355148,"endHours":25.302440262355148,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:18","end":"02:18","startHours":25.302440262355148,"endHours":26.302440262355148,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:18","end":"03:18","startHours":26.302440262355148,"endHours":27.302440262355148,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:18","end":"04:18","startHours":27.302440262355148,"endHours":28.302440262355148,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:18","end":"05:18","startHours":28.302440262355148,"endHours":29.302440262355148,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:18","end":"06:18","startHours":29.302440262355148,"endHours":30.302440262355148,"planetary_lord":"Saturn"}],"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","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"North-East","rahuVasa":"North","anandadiYoga":{"name":"Cara","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-9.090681233559337,"eotMinutes":16.449813869265995,"ayanamsa":-47.5328}},"calendars":{"vikram_samvat":-3054,"saka_samvat":-3189,"bengali_samvat":-3704,"malayalam_era":-3935,"nanakshahi_year":-4580,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa 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":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Dedicated festival walk for Māsika Śivarātri is not live yet; Maṅgalavāra (Tuesday) — 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 30, 3112 BCE · Mathurā · Vidhyamitra","description":"October 30, 3112 BCE for Mathurā: Kṛṣṇa Caturdaśī, sūryodaya 06:18, sūryāsta 17:48.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3111-10-30","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3111-10-30","sa":"https://sa.vidhyamitra.com/city/mathura/-3111-10-30","hi":"https://hi.vidhyamitra.com/city/mathura/-3111-10-30","x-default":"https://vidhyamitra.com/city/mathura/-3111-10-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-08T07:12:29.337Z","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":"2026-09-08T07:12:29.337Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-08T07:12:29.337Z","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"}}}