{"id":"vidhyamitra:city-day:mathura:-3171-11-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3171-11-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3171-11-15","date_display":"November 15, 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":15,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":563168.770833,"kali_year":-69,"ahargana":-25296.7292,"sun":{"sidereal_longitude":267.9258,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":46.2236,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":138.2978,"elapsed_within_tithi_degrees":6.2978},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2,"moon_longitude":46.2236,"elapsed_within_degrees":6.2236},"yoga":{"number":24,"name":"Śukla","sum_longitude":314.1494},"karana":{"half_tithi_index":23,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":15,"hour":6,"minute":30,"calendar":"julian"},"julian_day":563168.770833,"ahargana":-25296.7292,"kali_year":-69,"ayanamsa_lahiri":-48.3703,"grahas":{"sun":{"sidereal_longitude":267.9258,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":46.2236,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false,"latitude":-2.5223},"mars":{"sidereal_longitude":55.8241,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":true},"mercury":{"sidereal_longitude":242.9638,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":57.4256,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":223.2643,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":237.8823,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":80.3424,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":260.3424,"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":15,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":563168.770833,"kali_year":-69,"ahargana":-25296.7292,"sun":{"sidereal_longitude":267.9258,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":46.2236,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":138.2978,"elapsed_within_tithi_degrees":6.2978},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2,"moon_longitude":46.2236,"elapsed_within_degrees":6.2236},"yoga":{"number":24,"name":"Śukla","sum_longitude":314.1494},"karana":{"half_tithi_index":23,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.522,"elongation":138.298},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.522,"opposition_distance":41.702}},"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":"06:32","sunsetLocal":"17:37","solarNoonLocal":"12:04","dayLengthHours":11.086351197096263,"dayLengthDisplay":"11 Hours 05 Mins 11 Secs","nightLengthDisplay":"12 Hours 54 Mins 49 Secs","moonriseLocal":"15:17","moonsetLocal":"03:18","rahuKala":{"name":"Rāhu Kāla","start":"09:18","end":"10:41","startHours":9.302217776808153,"endHours":10.688011676445186,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:28","end":"14:51","startHours":13.459599475719251,"endHours":14.845393375356284,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:32","end":"07:55","startHours":6.530629977534087,"endHours":7.91642387717112,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:07","end":"09:29","startHours":9.117445256856548,"endHours":9.486990296759757,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:00","end":"07:17","startHours":6.992561277413098,"endHours":7.288197309335665,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:42","end":"12:27","startHours":11.70426053617901,"endHours":12.443350615985427,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:03","end":"05:47","startHours":5.052449817921252,"endHours":5.791539897727669,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:36","end":"06:32","startHours":5.606767377776065,"endHours":6.530629977534087,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:55","end":"14:40","startHours":13.921530775598264,"endHours":14.660620855404682,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:25","end":"17:49","startHours":17.41698117463035,"endHours":17.81698117463035,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:37","end":"18:05","startHours":17.61698117463035,"endHours":18.078912474509362,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:22","end":"19:07","startHours":17.36698117463035,"endHours":19.11698117463035,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:42","end":"00:27","startHours":23.70426053617901,"endHours":24.443350615985427,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:32","end":"07:55","startHours":6.530629977534087,"endHours":7.91642387717112,"quality":"inauspicious"},{"name":"Śubha","start":"07:55","end":"09:18","startHours":7.91642387717112,"endHours":9.302217776808153,"quality":"auspicious"},{"name":"Roga","start":"09:18","end":"10:41","startHours":9.302217776808153,"endHours":10.688011676445186,"quality":"inauspicious"},{"name":"Udveg","start":"10:41","end":"12:04","startHours":10.688011676445186,"endHours":12.073805576082218,"quality":"inauspicious"},{"name":"Chala","start":"12:04","end":"13:28","startHours":12.073805576082218,"endHours":13.459599475719251,"quality":"neutral"},{"name":"Labha","start":"13:28","end":"14:51","startHours":13.459599475719251,"endHours":14.845393375356284,"quality":"auspicious"},{"name":"Amṛta","start":"14:51","end":"16:14","startHours":14.845393375356284,"endHours":16.231187274993317,"quality":"auspicious"},{"name":"Kāla","start":"16:14","end":"17:37","startHours":16.231187274993317,"endHours":17.61698117463035,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:37","end":"19:14","startHours":17.61698117463035,"endHours":19.231187274993317,"quality":"auspicious"},{"name":"Amṛta","start":"19:14","end":"20:51","startHours":19.231187274993317,"endHours":20.845393375356284,"quality":"auspicious"},{"name":"Kāla","start":"20:51","end":"22:28","startHours":20.845393375356284,"endHours":22.45959947571925,"quality":"inauspicious"},{"name":"Śubha","start":"22:28","end":"00:04","startHours":22.45959947571925,"endHours":24.07380557608222,"quality":"auspicious"},{"name":"Roga","start":"00:04","end":"01:41","startHours":24.07380557608222,"endHours":25.688011676445186,"quality":"inauspicious"},{"name":"Udveg","start":"01:41","end":"03:18","startHours":25.688011676445186,"endHours":27.302217776808153,"quality":"inauspicious"},{"name":"Chala","start":"03:18","end":"04:55","startHours":27.302217776808153,"endHours":28.91642387717112,"quality":"neutral"},{"name":"Labha","start":"04:55","end":"06:32","startHours":28.91642387717112,"endHours":30.530629977534087,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:32","end":"07:32","startHours":6.530629977534087,"endHours":7.530629977534087,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:32","end":"08:32","startHours":7.530629977534087,"endHours":8.530629977534087,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:32","end":"09:32","startHours":8.530629977534087,"endHours":9.530629977534087,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:32","end":"10:32","startHours":9.530629977534087,"endHours":10.530629977534087,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:32","end":"11:32","startHours":10.530629977534087,"endHours":11.530629977534087,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:32","end":"12:32","startHours":11.530629977534087,"endHours":12.530629977534087,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:32","end":"13:32","startHours":12.530629977534087,"endHours":13.530629977534087,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:32","end":"14:32","startHours":13.530629977534087,"endHours":14.530629977534087,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:32","end":"15:32","startHours":14.530629977534087,"endHours":15.530629977534087,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:32","end":"16:32","startHours":15.530629977534087,"endHours":16.530629977534087,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:32","end":"17:32","startHours":16.530629977534087,"endHours":17.530629977534087,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:32","end":"18:32","startHours":17.530629977534087,"endHours":18.530629977534087,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:32","end":"19:32","startHours":18.530629977534087,"endHours":19.530629977534087,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:32","end":"20:32","startHours":19.530629977534087,"endHours":20.530629977534087,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:32","end":"21:32","startHours":20.530629977534087,"endHours":21.530629977534087,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:32","end":"22:32","startHours":21.530629977534087,"endHours":22.530629977534087,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:32","end":"23:32","startHours":22.530629977534087,"endHours":23.530629977534087,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:32","end":"00:32","startHours":23.530629977534087,"endHours":24.530629977534087,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:32","end":"01:32","startHours":24.530629977534087,"endHours":25.530629977534087,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:32","end":"02:32","startHours":25.530629977534087,"endHours":26.530629977534087,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:32","end":"03:32","startHours":26.530629977534087,"endHours":27.530629977534087,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:32","end":"04:32","startHours":27.530629977534087,"endHours":28.530629977534087,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:32","end":"05:32","startHours":28.530629977534087,"endHours":29.530629977534087,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:32","end":"06:32","startHours":29.530629977534087,"endHours":30.530629977534087,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"East","anandadiYoga":{"name":"Dhātṛ","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":-14.672053328250065,"eotMinutes":14.876865435066838,"ayanamsa":-48.3703}},"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 Dvādaśī · Vikram -3114 undefined · Śaka -3249 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 15, 3172 BCE · Mathurā · Vidhyamitra","description":"November 15, 3172 BCE for Mathurā: Śukla Dvādaśī, sūryodaya 06:32, sūryāsta 17:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3171-11-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3171-11-15","sa":"https://sa.vidhyamitra.com/city/mathura/-3171-11-15","hi":"https://hi.vidhyamitra.com/city/mathura/-3171-11-15","x-default":"https://vidhyamitra.com/city/mathura/-3171-11-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-08T16:02:15.022Z","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":"2026-09-08T16:02:15.022Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-08T16:02:15.022Z","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"}}}