{"id":"vidhyamitra:city-day:mathura:-3171-11-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3171-11-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3171-11-13","date_display":"November 13, 3172 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":-3171,"month":11,"day":13,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":563166.770833,"kali_year":-69,"ahargana":-25298.7292,"sun":{"sidereal_longitude":265.8708,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":18.3846,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":112.5137,"elapsed_within_tithi_degrees":4.5137},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2,"moon_longitude":18.3846,"elapsed_within_degrees":5.0513},"yoga":{"number":22,"name":"Sādhya","sum_longitude":284.2554},"karana":{"half_tithi_index":18,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":-3171,"month":11,"day":13,"hour":6,"minute":30,"calendar":"julian"},"julian_day":563166.770833,"ahargana":-25298.7292,"kali_year":-69,"ayanamsa_lahiri":-48.3704,"grahas":{"sun":{"sidereal_longitude":265.8708,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":18.3846,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false,"latitude":-3.9747},"mars":{"sidereal_longitude":56.1744,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":true},"mercury":{"sidereal_longitude":241.0604,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":57.634,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":220.9618,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":237.6727,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":80.4484,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":260.4484,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":-3171,"month":11,"day":13,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":563166.770833,"kali_year":-69,"ahargana":-25298.7292,"sun":{"sidereal_longitude":265.8708,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":18.3846,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":112.5137,"elapsed_within_tithi_degrees":4.5137},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2,"moon_longitude":18.3846,"elapsed_within_degrees":5.0513},"yoga":{"number":22,"name":"Sādhya","sum_longitude":284.2554},"karana":{"half_tithi_index":18,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.975,"elongation":112.514},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.975,"opposition_distance":67.486}},"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":"06:30","sunsetLocal":"17:38","solarNoonLocal":"12:04","dayLengthHours":11.135088289762754,"dayLengthDisplay":"11 Hours 08 Mins 06 Secs","nightLengthDisplay":"12 Hours 51 Mins 54 Secs","moonriseLocal":"13:56","moonsetLocal":"01:13","rahuKala":{"name":"Rāhu Kāla","start":"13:28","end":"14:51","startHours":13.459309355979379,"endHours":14.851195392199722,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:30","end":"07:54","startHours":6.499879174877657,"endHours":7.891765211098002,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:17","end":"10:41","startHours":9.283651247318346,"endHours":10.67553728353869,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:06","end":"09:28","startHours":9.098066442488967,"endHours":9.469236052147725,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:58","end":"07:16","startHours":6.963841186951106,"endHours":7.260776874678112,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:42","end":"12:26","startHours":11.696253710100276,"endHours":12.438592929417794,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:01","end":"05:45","startHours":5.015200736242623,"endHours":5.757539955560141,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:34","end":"06:30","startHours":5.571955150730761,"endHours":6.499879174877657,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:55","end":"14:40","startHours":13.923271368052827,"endHours":14.665610587370344,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:26","end":"17:50","startHours":17.434967464640412,"endHours":17.83496746464041,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:38","end":"18:06","startHours":17.63496746464041,"endHours":18.09892947671386,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:23","end":"19:08","startHours":17.38496746464041,"endHours":19.13496746464041,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:42","end":"00:26","startHours":23.69625371010028,"endHours":24.438592929417794,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:30","end":"07:54","startHours":6.499879174877657,"endHours":7.891765211098002,"quality":"auspicious"},{"name":"Roga","start":"07:54","end":"09:17","startHours":7.891765211098002,"endHours":9.283651247318346,"quality":"inauspicious"},{"name":"Udveg","start":"09:17","end":"10:41","startHours":9.283651247318346,"endHours":10.67553728353869,"quality":"inauspicious"},{"name":"Chala","start":"10:41","end":"12:04","startHours":10.67553728353869,"endHours":12.067423319759033,"quality":"neutral"},{"name":"Labha","start":"12:04","end":"13:28","startHours":12.067423319759033,"endHours":13.459309355979379,"quality":"auspicious"},{"name":"Amṛta","start":"13:28","end":"14:51","startHours":13.459309355979379,"endHours":14.851195392199722,"quality":"auspicious"},{"name":"Kāla","start":"14:51","end":"16:15","startHours":14.851195392199722,"endHours":16.24308142842007,"quality":"inauspicious"},{"name":"Śubha","start":"16:15","end":"17:38","startHours":16.24308142842007,"endHours":17.63496746464041,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:38","end":"19:15","startHours":17.63496746464041,"endHours":19.243081428420066,"quality":"auspicious"},{"name":"Kāla","start":"19:15","end":"20:51","startHours":19.243081428420066,"endHours":20.851195392199724,"quality":"inauspicious"},{"name":"Śubha","start":"20:51","end":"22:28","startHours":20.851195392199724,"endHours":22.45930935597938,"quality":"auspicious"},{"name":"Roga","start":"22:28","end":"00:04","startHours":22.45930935597938,"endHours":24.067423319759033,"quality":"inauspicious"},{"name":"Udveg","start":"00:04","end":"01:41","startHours":24.067423319759033,"endHours":25.675537283538688,"quality":"inauspicious"},{"name":"Chala","start":"01:41","end":"03:17","startHours":25.675537283538688,"endHours":27.283651247318346,"quality":"neutral"},{"name":"Labha","start":"03:17","end":"04:54","startHours":27.283651247318346,"endHours":28.891765211098,"quality":"auspicious"},{"name":"Amṛta","start":"04:54","end":"06:30","startHours":28.891765211098,"endHours":30.499879174877655,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:30","end":"07:30","startHours":6.499879174877657,"endHours":7.499879174877657,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:30","end":"08:30","startHours":7.499879174877657,"endHours":8.499879174877657,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:30","end":"09:30","startHours":8.499879174877657,"endHours":9.499879174877657,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:30","end":"10:30","startHours":9.499879174877657,"endHours":10.499879174877657,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:30","end":"11:30","startHours":10.499879174877657,"endHours":11.499879174877657,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:30","end":"12:30","startHours":11.499879174877657,"endHours":12.499879174877657,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:30","end":"13:30","startHours":12.499879174877657,"endHours":13.499879174877657,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:30","end":"14:30","startHours":13.499879174877657,"endHours":14.499879174877657,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:30","end":"15:30","startHours":14.499879174877657,"endHours":15.499879174877657,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:30","end":"16:30","startHours":15.499879174877657,"endHours":16.499879174877655,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:30","end":"17:30","startHours":16.499879174877655,"endHours":17.499879174877655,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:30","end":"18:30","startHours":17.499879174877655,"endHours":18.499879174877655,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:30","end":"19:30","startHours":18.499879174877655,"endHours":19.499879174877655,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:30","end":"20:30","startHours":19.499879174877655,"endHours":20.499879174877655,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:30","end":"21:30","startHours":20.499879174877655,"endHours":21.499879174877655,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:30","end":"22:30","startHours":21.499879174877655,"endHours":22.499879174877655,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:30","end":"23:30","startHours":22.499879174877655,"endHours":23.499879174877655,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:30","end":"00:30","startHours":23.499879174877655,"endHours":24.499879174877655,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:30","end":"01:30","startHours":24.499879174877655,"endHours":25.499879174877655,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:30","end":"02:30","startHours":25.499879174877655,"endHours":26.499879174877655,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:30","end":"03:30","startHours":26.499879174877655,"endHours":27.499879174877655,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:30","end":"04:30","startHours":27.499879174877655,"endHours":28.499879174877655,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:30","end":"05:30","startHours":28.499879174877655,"endHours":29.499879174877655,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:30","end":"06:30","startHours":29.499879174877655,"endHours":30.499879174877655,"planetary_lord":"Moon"}],"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"East","rahuVasa":"North-West","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-14.012075337598358,"eotMinutes":15.25980081445791,"ayanamsa":-48.3704}},"calendars":{"vikram_samvat":-3114,"saka_samvat":-3249,"bengali_samvat":-3764,"malayalam_era":-3995,"nanakshahi_year":-4640,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla 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 Śukla Daśamī · Vikram -3114 undefined · Śaka -3249 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 November 13, 3172 BCE · Mathurā · Vidhyamitra","description":"November 13, 3172 BCE for Mathurā: Śukla Daśamī, sūryodaya 06:30, sūryāsta 17:38.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3171-11-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3171-11-13","sa":"https://sa.vidhyamitra.com/city/mathura/-3171-11-13","hi":"https://hi.vidhyamitra.com/city/mathura/-3171-11-13","x-default":"https://vidhyamitra.com/city/mathura/-3171-11-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-12T06:48:58.374Z","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":"2026-09-12T06:48:58.374Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-12T06:48:58.374Z","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"}}}