{"id":"vidhyamitra:city-day:mathura:-3156-10-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3156-10-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3156-10-01","date_display":"October 1, 3157 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":-3156,"month":10,"day":1,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":568602.770833,"kali_year":-54,"ahargana":-19862.7292,"sun":{"sidereal_longitude":221.8779,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":2.8606,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":140.9827,"elapsed_within_tithi_degrees":8.9827},"nakshatra":{"number":1,"name":"Aśvinī","pada":1,"moon_longitude":2.8606,"elapsed_within_degrees":2.8606},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":224.7385},"karana":{"half_tithi_index":23,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":-3156,"month":10,"day":1,"hour":6,"minute":30,"calendar":"julian"},"julian_day":568602.770833,"ahargana":-19862.7292,"kali_year":-54,"ayanamsa_lahiri":-48.1625,"grahas":{"sun":{"sidereal_longitude":221.8779,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":2.8606,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false,"latitude":-2.278},"mars":{"sidereal_longitude":43.2818,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":true},"mercury":{"sidereal_longitude":207.6756,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":159.6648,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":220.0014,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":56.7392,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":152.423,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":332.423,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"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":-3156,"month":10,"day":1,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":568602.770833,"kali_year":-54,"ahargana":-19862.7292,"sun":{"sidereal_longitude":221.8779,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":2.8606,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":140.9827,"elapsed_within_tithi_degrees":8.9827},"nakshatra":{"number":1,"name":"Aśvinī","pada":1,"moon_longitude":2.8606,"elapsed_within_degrees":2.8606},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":224.7385},"karana":{"half_tithi_index":23,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.278,"elongation":140.983},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.278,"opposition_distance":39.017}},"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":"05:59","sunsetLocal":"18:17","solarNoonLocal":"12:08","dayLengthHours":12.298650789812566,"dayLengthDisplay":"12 Hours 17 Mins 55 Secs","nightLengthDisplay":"11 Hours 42 Mins 05 Secs","moonriseLocal":"16:05","moonsetLocal":"03:00","rahuKala":{"name":"Rāhu Kāla","start":"07:31","end":"09:04","startHours":7.523629884043881,"endHours":9.060961232770453,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:36","end":"12:08","startHours":10.598292581497024,"endHours":12.135623930223595,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:40","end":"15:13","startHours":13.672955278950166,"endHours":15.210286627676734,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:51","end":"09:16","startHours":8.85598371960691,"endHours":9.265938745933996,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:30","end":"06:50","startHours":6.498742318226168,"endHours":6.826706339287837,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:44","end":"12:33","startHours":11.725668903896507,"endHours":12.54557895655068,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:21","end":"05:10","startHours":4.346478430008969,"endHours":5.16638848266314,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:58","end":"05:59","startHours":4.961410969499597,"endHours":5.986298535317311,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:11","end":"15:00","startHours":14.185399061859023,"endHours":15.005309114513194,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:05","end":"18:29","startHours":18.084949325129877,"endHours":18.484949325129875,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:17","end":"18:48","startHours":18.284949325129876,"endHours":18.797393108038733,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:02","end":"19:47","startHours":18.034949325129876,"endHours":19.784949325129876,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:44","end":"00:33","startHours":23.72566890389651,"endHours":24.54557895655068,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:59","end":"07:31","startHours":5.986298535317311,"endHours":7.523629884043881,"quality":"auspicious"},{"name":"Kāla","start":"07:31","end":"09:04","startHours":7.523629884043881,"endHours":9.060961232770453,"quality":"inauspicious"},{"name":"Śubha","start":"09:04","end":"10:36","startHours":9.060961232770453,"endHours":10.598292581497024,"quality":"auspicious"},{"name":"Roga","start":"10:36","end":"12:08","startHours":10.598292581497024,"endHours":12.135623930223595,"quality":"inauspicious"},{"name":"Udveg","start":"12:08","end":"13:40","startHours":12.135623930223595,"endHours":13.672955278950166,"quality":"inauspicious"},{"name":"Chala","start":"13:40","end":"15:13","startHours":13.672955278950166,"endHours":15.210286627676734,"quality":"neutral"},{"name":"Labha","start":"15:13","end":"16:45","startHours":15.210286627676734,"endHours":16.747617976403305,"quality":"auspicious"},{"name":"Amṛta","start":"16:45","end":"18:17","startHours":16.747617976403305,"endHours":18.284949325129876,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:17","end":"19:45","startHours":18.284949325129876,"endHours":19.747617976403305,"quality":"neutral"},{"name":"Labha","start":"19:45","end":"21:13","startHours":19.747617976403305,"endHours":21.210286627676734,"quality":"auspicious"},{"name":"Amṛta","start":"21:13","end":"22:40","startHours":21.210286627676734,"endHours":22.672955278950162,"quality":"auspicious"},{"name":"Kāla","start":"22:40","end":"00:08","startHours":22.672955278950162,"endHours":24.135623930223595,"quality":"inauspicious"},{"name":"Śubha","start":"00:08","end":"01:36","startHours":24.135623930223595,"endHours":25.59829258149702,"quality":"auspicious"},{"name":"Roga","start":"01:36","end":"03:04","startHours":25.59829258149702,"endHours":27.060961232770453,"quality":"inauspicious"},{"name":"Udveg","start":"03:04","end":"04:31","startHours":27.060961232770453,"endHours":28.52362988404388,"quality":"inauspicious"},{"name":"Chala","start":"04:31","end":"05:59","startHours":28.52362988404388,"endHours":29.98629853531731,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:59","end":"06:59","startHours":5.986298535317311,"endHours":6.986298535317311,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:59","end":"07:59","startHours":6.986298535317311,"endHours":7.986298535317311,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:59","end":"08:59","startHours":7.986298535317311,"endHours":8.98629853531731,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:59","end":"09:59","startHours":8.98629853531731,"endHours":9.98629853531731,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:59","end":"10:59","startHours":9.98629853531731,"endHours":10.98629853531731,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:59","end":"11:59","startHours":10.98629853531731,"endHours":11.98629853531731,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:59","end":"12:59","startHours":11.98629853531731,"endHours":12.98629853531731,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:59","end":"13:59","startHours":12.98629853531731,"endHours":13.98629853531731,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:59","end":"14:59","startHours":13.98629853531731,"endHours":14.98629853531731,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:59","end":"15:59","startHours":14.98629853531731,"endHours":15.98629853531731,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:59","end":"16:59","startHours":15.98629853531731,"endHours":16.98629853531731,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:59","end":"17:59","startHours":16.98629853531731,"endHours":17.98629853531731,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:59","end":"18:59","startHours":17.98629853531731,"endHours":18.98629853531731,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:59","end":"19:59","startHours":18.98629853531731,"endHours":19.98629853531731,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:59","end":"20:59","startHours":19.98629853531731,"endHours":20.98629853531731,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:59","end":"21:59","startHours":20.98629853531731,"endHours":21.98629853531731,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:59","end":"22:59","startHours":21.98629853531731,"endHours":22.98629853531731,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:59","end":"23:59","startHours":22.98629853531731,"endHours":23.98629853531731,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:59","end":"00:59","startHours":23.98629853531731,"endHours":24.98629853531731,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:59","end":"01:59","startHours":24.98629853531731,"endHours":25.98629853531731,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:59","end":"02:59","startHours":25.98629853531731,"endHours":26.98629853531731,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:59","end":"03:59","startHours":26.98629853531731,"endHours":27.98629853531731,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:59","end":"04:59","startHours":27.98629853531731,"endHours":28.98629853531731,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:59","end":"05:59","startHours":28.98629853531731,"endHours":29.98629853531731,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Saumya","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":2.4953690501876302,"eotMinutes":11.167764186584405,"ayanamsa":-48.1625}},"calendars":{"vikram_samvat":-3099,"saka_samvat":-3234,"bengali_samvat":-3749,"malayalam_era":-3980,"nanakshahi_year":-4625,"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 Dvādaśī · Vikram -3099 undefined · Śaka -3234 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7, 6.34-35.","step_count":5,"url":"/walk/chandra-walk","steps":[{"label":"BG 6.5","url":"/bhagavad-gita/6/5","purpose":"Lift the self by the Self; begin the walk with inner responsibility."},{"label":"BG 6.6","url":"/bhagavad-gita/6/6","purpose":"See the mind as friend when mastered and enemy when unmastered."},{"label":"BG 6.7","url":"/bhagavad-gita/6/7","purpose":"Stabilize the conquered mind in heat/cold, honor/dishonor, pleasure/pain."},{"label":"BG 6.34","url":"/bhagavad-gita/6/34","purpose":"Name the restless mind honestly before trying to discipline it."},{"label":"BG 6.35","url":"/bhagavad-gita/6/35","purpose":"Complete with abhyāsa and vairāgya: practice and detachment."}]},"reason":"Somavāra (Monday) — 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 1, 3157 BCE · Mathurā · Vidhyamitra","description":"October 1, 3157 BCE for Mathurā: Śukla Dvādaśī, sūryodaya 05:59, sūryāsta 18:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3156-10-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3156-10-01","sa":"https://sa.vidhyamitra.com/city/mathura/-3156-10-01","hi":"https://hi.vidhyamitra.com/city/mathura/-3156-10-01","x-default":"https://vidhyamitra.com/city/mathura/-3156-10-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-06T23:10:03.593Z","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":"2026-09-06T23:10:03.593Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-06T23:10:03.593Z","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"}}}