{"id":"vidhyamitra:city-day:mathura:-3129-10-14:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3129-10-14","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3129-10-14","date_display":"October 14, 3130 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":-3129,"month":10,"day":14,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":578476.770833,"kali_year":-27,"ahargana":-9988.7292,"sun":{"sidereal_longitude":234.1622,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":140.9894,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":266.8272,"elapsed_within_tithi_degrees":2.8272},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3,"moon_longitude":140.9894,"elapsed_within_degrees":7.6561},"yoga":{"number":2,"name":"Prīti","sum_longitude":15.1516},"karana":{"half_tithi_index":44,"name":"Bālava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":-3129,"month":10,"day":14,"hour":6,"minute":30,"calendar":"julian"},"julian_day":578476.770833,"ahargana":-9988.7292,"kali_year":-27,"ayanamsa_lahiri":-47.7848,"grahas":{"sun":{"sidereal_longitude":234.1622,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":140.9894,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false,"latitude":2.129},"mars":{"sidereal_longitude":185.8551,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":217.0982,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":243.1194,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"venus":{"sidereal_longitude":218.4484,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":16.5969,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":349.2509,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":169.2509,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","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":-3129,"month":10,"day":14,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":578476.770833,"kali_year":-27,"ahargana":-9988.7292,"sun":{"sidereal_longitude":234.1622,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":140.9894,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":266.8272,"elapsed_within_tithi_degrees":2.8272},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3,"moon_longitude":140.9894,"elapsed_within_degrees":7.6561},"yoga":{"number":2,"name":"Prīti","sum_longitude":15.1516},"karana":{"half_tithi_index":44,"name":"Bālava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.129,"elongation":93.173},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.129,"opposition_distance":86.827}},"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":"06:06","sunsetLocal":"18:03","solarNoonLocal":"12:05","dayLengthHours":11.949516336343262,"dayLengthDisplay":"11 Hours 56 Mins 58 Secs","nightLengthDisplay":"12 Hours 03 Mins 02 Secs","moonriseLocal":"22:57","moonsetLocal":"12:47","rahuKala":{"name":"Rāhu Kāla","start":"10:35","end":"12:05","startHours":10.58381420087465,"endHours":12.077503742917559,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:04","end":"16:34","startHours":15.064882827003373,"endHours":16.55857236904628,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:36","end":"09:05","startHours":7.596435116788836,"endHours":9.090124658831744,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:53","end":"09:17","startHours":8.890966053226022,"endHours":9.289283264437465,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:36","end":"06:55","startHours":6.60064208876023,"endHours":6.9192958577293835,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:29","startHours":11.679186531706117,"endHours":12.475820954129,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:31","end":"05:18","startHours":4.509476729900159,"endHours":5.3061111523230435,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:06","end":"06:06","startHours":5.106952546717323,"endHours":6.102745574745928,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:04","end":"14:52","startHours":14.069089798974769,"endHours":14.865724221397652,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:51","end":"18:15","startHours":17.85226191108919,"endHours":18.25226191108919,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:03","end":"18:33","startHours":18.05226191108919,"endHours":18.550158425103493,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:48","end":"19:33","startHours":17.80226191108919,"endHours":19.55226191108919,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:29","startHours":23.679186531706115,"endHours":24.475820954129,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:06","end":"07:36","startHours":6.102745574745928,"endHours":7.596435116788836,"quality":"neutral"},{"name":"Labha","start":"07:36","end":"09:05","startHours":7.596435116788836,"endHours":9.090124658831744,"quality":"auspicious"},{"name":"Amṛta","start":"09:05","end":"10:35","startHours":9.090124658831744,"endHours":10.58381420087465,"quality":"auspicious"},{"name":"Kāla","start":"10:35","end":"12:05","startHours":10.58381420087465,"endHours":12.077503742917559,"quality":"inauspicious"},{"name":"Śubha","start":"12:05","end":"13:34","startHours":12.077503742917559,"endHours":13.571193284960467,"quality":"auspicious"},{"name":"Roga","start":"13:34","end":"15:04","startHours":13.571193284960467,"endHours":15.064882827003373,"quality":"inauspicious"},{"name":"Udveg","start":"15:04","end":"16:34","startHours":15.064882827003373,"endHours":16.55857236904628,"quality":"inauspicious"},{"name":"Chala","start":"16:34","end":"18:03","startHours":16.55857236904628,"endHours":18.05226191108919,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:03","end":"19:34","startHours":18.05226191108919,"endHours":19.55857236904628,"quality":"inauspicious"},{"name":"Udveg","start":"19:34","end":"21:04","startHours":19.55857236904628,"endHours":21.064882827003373,"quality":"inauspicious"},{"name":"Chala","start":"21:04","end":"22:34","startHours":21.064882827003373,"endHours":22.571193284960465,"quality":"neutral"},{"name":"Labha","start":"22:34","end":"00:05","startHours":22.571193284960465,"endHours":24.077503742917557,"quality":"auspicious"},{"name":"Amṛta","start":"00:05","end":"01:35","startHours":24.077503742917557,"endHours":25.58381420087465,"quality":"auspicious"},{"name":"Kāla","start":"01:35","end":"03:05","startHours":25.58381420087465,"endHours":27.090124658831744,"quality":"inauspicious"},{"name":"Śubha","start":"03:05","end":"04:36","startHours":27.090124658831744,"endHours":28.596435116788836,"quality":"auspicious"},{"name":"Roga","start":"04:36","end":"06:06","startHours":28.596435116788836,"endHours":30.102745574745928,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:06","end":"07:06","startHours":6.102745574745928,"endHours":7.102745574745928,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:06","end":"08:06","startHours":7.102745574745928,"endHours":8.102745574745928,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:06","end":"09:06","startHours":8.102745574745928,"endHours":9.102745574745928,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:06","end":"10:06","startHours":9.102745574745928,"endHours":10.102745574745928,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:06","end":"11:06","startHours":10.102745574745928,"endHours":11.102745574745928,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:06","end":"12:06","startHours":11.102745574745928,"endHours":12.102745574745928,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:06","end":"13:06","startHours":12.102745574745928,"endHours":13.102745574745928,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:06","end":"14:06","startHours":13.102745574745928,"endHours":14.102745574745928,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:06","end":"15:06","startHours":14.102745574745928,"endHours":15.102745574745928,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:06","end":"16:06","startHours":15.102745574745928,"endHours":16.102745574745928,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:06","end":"17:06","startHours":16.102745574745928,"endHours":17.102745574745928,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:06","end":"18:06","startHours":17.102745574745928,"endHours":18.102745574745928,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:06","end":"19:06","startHours":18.102745574745928,"endHours":19.102745574745928,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:06","end":"20:06","startHours":19.102745574745928,"endHours":20.102745574745928,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:06","end":"21:06","startHours":20.102745574745928,"endHours":21.102745574745928,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:06","end":"22:06","startHours":21.102745574745928,"endHours":22.102745574745928,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:06","end":"23:06","startHours":22.102745574745928,"endHours":23.102745574745928,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:06","end":"00:06","startHours":23.102745574745928,"endHours":24.102745574745928,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:06","end":"01:06","startHours":24.102745574745928,"endHours":25.102745574745928,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:06","end":"02:06","startHours":25.102745574745928,"endHours":26.102745574745928,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:06","end":"03:06","startHours":26.102745574745928,"endHours":27.102745574745928,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:06","end":"04:06","startHours":27.102745574745928,"endHours":28.102745574745928,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:06","end":"05:06","startHours":28.102745574745928,"endHours":29.102745574745928,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:06","end":"06:06","startHours":29.102745574745928,"endHours":30.102745574745928,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"West","rahuVasa":"South-East","anandadiYoga":{"name":"Dhūmra","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-2.5320888578507534,"eotMinutes":14.654975424946487,"ayanamsa":-47.7848}},"calendars":{"vikram_samvat":-3072,"saka_samvat":-3207,"bengali_samvat":-3722,"malayalam_era":-3953,"nanakshahi_year":-4598,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa 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 Kṛṣṇa Aṣṭamī · Vikram -3072 undefined · Śaka -3207 undefined"},"festivals":[{"id":"kalabhairava-ashtami","name":"Kālabhairava Aṣṭamī","name_sanskrit":"कालभैरव अष्टमी","tradition":"Shaiva","associated_deity":"Kālabhairava (fierce Śiva)","significance":"Kālabhairava's manifestation; Kāśī-kṣetrapāla.","vrata":true,"detection":{"tithi_number":23,"tithi_paksha":"Kṛṣṇa","lunar_month":"Mārgaśīrṣa"},"precedence":3}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Dedicated festival walk for Kālabhairava Aṣṭamī is not live yet; Śukravāra (Friday) — 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 14, 3130 BCE · Mathurā · Vidhyamitra","description":"October 14, 3130 BCE for Mathurā: Kṛṣṇa Aṣṭamī, sūryodaya 06:06, sūryāsta 18:03.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3129-10-14","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3129-10-14","sa":"https://sa.vidhyamitra.com/city/mathura/-3129-10-14","hi":"https://hi.vidhyamitra.com/city/mathura/-3129-10-14","x-default":"https://vidhyamitra.com/city/mathura/-3129-10-14"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-09T02:59:29.777Z","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":"2026-09-09T02:59:29.777Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-09T02:59:29.777Z","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"}}}