{"id":"vidhyamitra:city-day:mathura:-3111-10-17:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3111-10-17","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3111-10-17","date_display":"October 17, 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":17,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":585054.770833,"kali_year":-9,"ahargana":-3410.7292,"sun":{"sidereal_longitude":237.5886,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":60.1851,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":182.5965,"elapsed_within_tithi_degrees":2.5965},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":60.1851,"elapsed_within_degrees":6.8518},"yoga":{"number":23,"name":"Śubha","sum_longitude":297.7738},"karana":{"half_tithi_index":30,"name":"Bālava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":17,"hour":6,"minute":30,"calendar":"julian"},"julian_day":585054.770833,"ahargana":-3410.7292,"kali_year":-9,"ayanamsa_lahiri":-47.5333,"grahas":{"sun":{"sidereal_longitude":237.5886,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":60.1851,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3},"retrograde":false,"latitude":3.875},"mars":{"sidereal_longitude":341.7212,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":224.3834,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":87.2418,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":true},"venus":{"sidereal_longitude":261.8498,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":244.3534,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":0.7168,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":180.7168,"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":17,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":585054.770833,"kali_year":-9,"ahargana":-3410.7292,"sun":{"sidereal_longitude":237.5886,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":60.1851,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":182.5965,"elapsed_within_tithi_degrees":2.5965},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":60.1851,"elapsed_within_degrees":6.8518},"yoga":{"number":23,"name":"Śubha","sum_longitude":297.7738},"karana":{"half_tithi_index":30,"name":"Bālava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.875,"elongation":177.403},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.875,"opposition_distance":2.597}},"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":"06:09","sunsetLocal":"18:00","solarNoonLocal":"12:04","dayLengthHours":11.848750174898846,"dayLengthDisplay":"11 Hours 50 Mins 56 Secs","nightLengthDisplay":"12 Hours 09 Mins 04 Secs","moonriseLocal":"18:01","moonsetLocal":"06:28","rahuKala":{"name":"Rāhu Kāla","start":"12:04","end":"13:33","startHours":12.067963007299536,"endHours":13.54905677916189,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:37","end":"09:06","startHours":7.624681691712468,"endHours":9.105775463574822,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:35","end":"12:04","startHours":10.58686923543718,"endHours":12.067963007299536,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:54","end":"09:18","startHours":8.908296293993176,"endHours":9.30325463315647,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:38","end":"06:57","startHours":6.63728584380423,"endHours":6.953252515134866,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:40","end":"12:28","startHours":11.67300466813624,"endHours":12.462921346462831,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:34","end":"05:21","startHours":4.563754563196932,"endHours":5.353671241523522,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:09","end":"06:09","startHours":5.156192071941875,"endHours":6.143587919850112,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:03","end":"14:50","startHours":14.04275470311601,"endHours":14.8326713814426,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:48","end":"18:12","startHours":17.79233809474896,"endHours":18.19233809474896,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:00","end":"18:29","startHours":17.99233809474896,"endHours":18.48603601870308,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:45","end":"19:30","startHours":17.74233809474896,"endHours":19.49233809474896,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:40","end":"00:28","startHours":23.67300466813624,"endHours":24.46292134646283,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:09","end":"07:37","startHours":6.143587919850112,"endHours":7.624681691712468,"quality":"auspicious"},{"name":"Amṛta","start":"07:37","end":"09:06","startHours":7.624681691712468,"endHours":9.105775463574822,"quality":"auspicious"},{"name":"Kāla","start":"09:06","end":"10:35","startHours":9.105775463574822,"endHours":10.58686923543718,"quality":"inauspicious"},{"name":"Śubha","start":"10:35","end":"12:04","startHours":10.58686923543718,"endHours":12.067963007299536,"quality":"auspicious"},{"name":"Roga","start":"12:04","end":"13:33","startHours":12.067963007299536,"endHours":13.54905677916189,"quality":"inauspicious"},{"name":"Udveg","start":"13:33","end":"15:02","startHours":13.54905677916189,"endHours":15.030150551024246,"quality":"inauspicious"},{"name":"Chala","start":"15:02","end":"16:31","startHours":15.030150551024246,"endHours":16.511244322886604,"quality":"neutral"},{"name":"Labha","start":"16:31","end":"18:00","startHours":16.511244322886604,"endHours":17.99233809474896,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:00","end":"19:31","startHours":17.99233809474896,"endHours":19.511244322886604,"quality":"inauspicious"},{"name":"Chala","start":"19:31","end":"21:02","startHours":19.511244322886604,"endHours":21.03015055102425,"quality":"neutral"},{"name":"Labha","start":"21:02","end":"22:33","startHours":21.03015055102425,"endHours":22.54905677916189,"quality":"auspicious"},{"name":"Amṛta","start":"22:33","end":"00:04","startHours":22.54905677916189,"endHours":24.067963007299536,"quality":"auspicious"},{"name":"Kāla","start":"00:04","end":"01:35","startHours":24.067963007299536,"endHours":25.58686923543718,"quality":"inauspicious"},{"name":"Śubha","start":"01:35","end":"03:06","startHours":25.58686923543718,"endHours":27.105775463574822,"quality":"auspicious"},{"name":"Roga","start":"03:06","end":"04:37","startHours":27.105775463574822,"endHours":28.624681691712468,"quality":"inauspicious"},{"name":"Udveg","start":"04:37","end":"06:09","startHours":28.624681691712468,"endHours":30.143587919850113,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:09","end":"07:09","startHours":6.143587919850112,"endHours":7.143587919850112,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:09","end":"08:09","startHours":7.143587919850112,"endHours":8.143587919850113,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:09","end":"09:09","startHours":8.143587919850113,"endHours":9.143587919850113,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:09","end":"10:09","startHours":9.143587919850113,"endHours":10.143587919850113,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:09","end":"11:09","startHours":10.143587919850113,"endHours":11.143587919850113,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:09","end":"12:09","startHours":11.143587919850113,"endHours":12.143587919850113,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:09","end":"13:09","startHours":12.143587919850113,"endHours":13.143587919850113,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:09","end":"14:09","startHours":13.143587919850113,"endHours":14.143587919850113,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:09","end":"15:09","startHours":14.143587919850113,"endHours":15.143587919850113,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:09","end":"16:09","startHours":15.143587919850113,"endHours":16.143587919850113,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:09","end":"17:09","startHours":16.143587919850113,"endHours":17.143587919850113,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:09","end":"18:09","startHours":17.143587919850113,"endHours":18.143587919850113,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:09","end":"19:09","startHours":18.143587919850113,"endHours":19.143587919850113,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:09","end":"20:09","startHours":19.143587919850113,"endHours":20.143587919850113,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:09","end":"21:09","startHours":20.143587919850113,"endHours":21.143587919850113,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:09","end":"22:09","startHours":21.143587919850113,"endHours":22.143587919850113,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:09","end":"23:09","startHours":22.143587919850113,"endHours":23.143587919850113,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:09","end":"00:09","startHours":23.143587919850113,"endHours":24.143587919850113,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:09","end":"01:09","startHours":24.143587919850113,"endHours":25.143587919850113,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:09","end":"02:09","startHours":25.143587919850113,"endHours":26.143587919850113,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:09","end":"03:09","startHours":26.143587919850113,"endHours":27.143587919850113,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:09","end":"04:09","startHours":27.143587919850113,"endHours":28.143587919850113,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:09","end":"05:09","startHours":28.143587919850113,"endHours":29.143587919850113,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:09","end":"06:09","startHours":29.143587919850113,"endHours":30.143587919850113,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Mṛtyu","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":-3.9820261233811336,"eotMinutes":15.227419562027912,"ayanamsa":-47.5333}},"calendars":{"vikram_samvat":-3054,"saka_samvat":-3189,"bengali_samvat":-3704,"malayalam_era":-3935,"nanakshahi_year":-4580,"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 Pratipada · Vikram -3054 undefined · Śaka -3189 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 17, 3112 BCE · Mathurā · Vidhyamitra","description":"October 17, 3112 BCE for Mathurā: Kṛṣṇa Pratipada, sūryodaya 06:09, sūryāsta 18:00.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3111-10-17","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3111-10-17","sa":"https://sa.vidhyamitra.com/city/mathura/-3111-10-17","hi":"https://hi.vidhyamitra.com/city/mathura/-3111-10-17","x-default":"https://vidhyamitra.com/city/mathura/-3111-10-17"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-06T12:28:22.449Z","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":"2026-09-06T12:28:22.449Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-06T12:28:22.449Z","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"}}}