{"id":"vidhyamitra:city-day:mathura:-3181-11-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3181-11-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3181-11-15","date_display":"November 15, 3182 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":-3181,"month":11,"day":15,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":559515.770833,"kali_year":-79,"ahargana":-28949.7292,"sun":{"sidereal_longitude":267.5021,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":146.6872,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":239.1851,"elapsed_within_tithi_degrees":11.1851},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1,"moon_longitude":146.6872,"elapsed_within_degrees":0.0205},"yoga":{"number":5,"name":"Śobhana","sum_longitude":54.1893},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":-3181,"month":11,"day":15,"hour":6,"minute":30,"calendar":"julian"},"julian_day":559515.770833,"ahargana":-28949.7292,"kali_year":-79,"ayanamsa_lahiri":-48.51,"grahas":{"sun":{"sidereal_longitude":267.5021,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":146.6872,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false,"latitude":-3.5826},"mars":{"sidereal_longitude":292.3161,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":279.3131,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":124.3419,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":312.2121,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":123.1703,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":273.896,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":93.896,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"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":-3181,"month":11,"day":15,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":559515.770833,"kali_year":-79,"ahargana":-28949.7292,"sun":{"sidereal_longitude":267.5021,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":146.6872,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":239.1851,"elapsed_within_tithi_degrees":11.1851},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1,"moon_longitude":146.6872,"elapsed_within_degrees":0.0205},"yoga":{"number":5,"name":"Śobhana","sum_longitude":54.1893},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.583,"elongation":120.815},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.583,"opposition_distance":59.185}},"eclipse_window_40days":[{"offset_days":-5,"type":"lunar","occurs":true,"moon_latitude":0.741,"opposition_distance":2.308},{"offset_days":10,"type":"solar","occurs":true,"moon_latitude":0.451,"elongation":1.353}]},"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":"06:31","sunsetLocal":"17:37","solarNoonLocal":"12:04","dayLengthHours":11.099618042584552,"dayLengthDisplay":"11 Hours 05 Mins 59 Secs","nightLengthDisplay":"12 Hours 54 Mins 01 Secs","moonriseLocal":"21:07","moonsetLocal":"10:56","rahuKala":{"name":"Rāhu Kāla","start":"16:14","end":"17:37","startHours":16.236162342051426,"endHours":17.623614597374495,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:04","end":"13:28","startHours":12.073805576082218,"endHours":13.461257831405288,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:51","end":"16:14","startHours":14.848710086728357,"endHours":16.236162342051426,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:07","end":"09:29","startHours":9.113907431393006,"endHours":9.483894699479157,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:59","end":"07:17","startHours":6.986480639897633,"endHours":7.282470454366554,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:42","end":"12:27","startHours":11.703818307996066,"endHours":12.443792844168371,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:03","end":"05:47","startHours":5.044047482445336,"endHours":5.78402201861764,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:36","end":"06:31","startHours":5.599028384574564,"endHours":6.523996554789943,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:55","end":"14:40","startHours":13.923741916512977,"endHours":14.66371645268528,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:25","end":"17:49","startHours":17.423614597374495,"endHours":17.823614597374494,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:37","end":"18:05","startHours":17.623614597374495,"endHours":18.086098682482184,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:22","end":"19:07","startHours":17.373614597374495,"endHours":19.123614597374495,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:42","end":"00:27","startHours":23.703818307996066,"endHours":24.44379284416837,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:31","end":"07:55","startHours":6.523996554789943,"endHours":7.911448810113012,"quality":"inauspicious"},{"name":"Chala","start":"07:55","end":"09:18","startHours":7.911448810113012,"endHours":9.29890106543608,"quality":"neutral"},{"name":"Labha","start":"09:18","end":"10:41","startHours":9.29890106543608,"endHours":10.68635332075915,"quality":"auspicious"},{"name":"Amṛta","start":"10:41","end":"12:04","startHours":10.68635332075915,"endHours":12.073805576082218,"quality":"auspicious"},{"name":"Kāla","start":"12:04","end":"13:28","startHours":12.073805576082218,"endHours":13.461257831405288,"quality":"inauspicious"},{"name":"Śubha","start":"13:28","end":"14:51","startHours":13.461257831405288,"endHours":14.848710086728357,"quality":"auspicious"},{"name":"Roga","start":"14:51","end":"16:14","startHours":14.848710086728357,"endHours":16.236162342051426,"quality":"inauspicious"},{"name":"Udveg","start":"16:14","end":"17:37","startHours":16.236162342051426,"endHours":17.623614597374495,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:37","end":"19:14","startHours":17.623614597374495,"endHours":19.236162342051426,"quality":"auspicious"},{"name":"Roga","start":"19:14","end":"20:51","startHours":19.236162342051426,"endHours":20.848710086728357,"quality":"inauspicious"},{"name":"Udveg","start":"20:51","end":"22:28","startHours":20.848710086728357,"endHours":22.461257831405288,"quality":"inauspicious"},{"name":"Chala","start":"22:28","end":"00:04","startHours":22.461257831405288,"endHours":24.07380557608222,"quality":"neutral"},{"name":"Labha","start":"00:04","end":"01:41","startHours":24.07380557608222,"endHours":25.68635332075915,"quality":"auspicious"},{"name":"Amṛta","start":"01:41","end":"03:18","startHours":25.68635332075915,"endHours":27.29890106543608,"quality":"auspicious"},{"name":"Kāla","start":"03:18","end":"04:55","startHours":27.29890106543608,"endHours":28.91144881011301,"quality":"inauspicious"},{"name":"Śubha","start":"04:55","end":"06:31","startHours":28.91144881011301,"endHours":30.523996554789942,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:31","end":"07:31","startHours":6.523996554789943,"endHours":7.523996554789943,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:31","end":"08:31","startHours":7.523996554789943,"endHours":8.523996554789942,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:31","end":"09:31","startHours":8.523996554789942,"endHours":9.523996554789942,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:31","end":"10:31","startHours":9.523996554789942,"endHours":10.523996554789942,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:31","end":"11:31","startHours":10.523996554789942,"endHours":11.523996554789942,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:31","end":"12:31","startHours":11.523996554789942,"endHours":12.523996554789942,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:31","end":"13:31","startHours":12.523996554789942,"endHours":13.523996554789942,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:31","end":"14:31","startHours":13.523996554789942,"endHours":14.523996554789942,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:31","end":"15:31","startHours":14.523996554789942,"endHours":15.523996554789942,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:31","end":"16:31","startHours":15.523996554789942,"endHours":16.523996554789942,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:31","end":"17:31","startHours":16.523996554789942,"endHours":17.523996554789942,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:31","end":"18:31","startHours":17.523996554789942,"endHours":18.523996554789942,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:31","end":"19:31","startHours":18.523996554789942,"endHours":19.523996554789942,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:31","end":"20:31","startHours":19.523996554789942,"endHours":20.523996554789942,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:31","end":"21:31","startHours":20.523996554789942,"endHours":21.523996554789942,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:31","end":"22:31","startHours":21.523996554789942,"endHours":22.523996554789942,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:31","end":"23:31","startHours":22.523996554789942,"endHours":23.523996554789942,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:31","end":"00:31","startHours":23.523996554789942,"endHours":24.523996554789942,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:31","end":"01:31","startHours":24.523996554789942,"endHours":25.523996554789942,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:31","end":"02:31","startHours":25.523996554789942,"endHours":26.523996554789942,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:31","end":"03:31","startHours":26.523996554789942,"endHours":27.523996554789942,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:31","end":"04:31","startHours":27.523996554789942,"endHours":28.523996554789942,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:31","end":"05:31","startHours":28.523996554789942,"endHours":29.523996554789942,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:31","end":"06:31","startHours":29.523996554789942,"endHours":30.523996554789942,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","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":"North-East","anandadiYoga":{"name":"Maitra","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":-14.492811011122923,"eotMinutes":14.876865435066838,"ayanamsa":-48.51}},"calendars":{"vikram_samvat":-3124,"saka_samvat":-3259,"bengali_samvat":-3774,"malayalam_era":-4005,"nanakshahi_year":-4650,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa 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 Kṛṣṇa Pañcamī · Vikram -3124 undefined · Śaka -3259 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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, 3182 BCE · Mathurā · Vidhyamitra","description":"November 15, 3182 BCE for Mathurā: Kṛṣṇa Pañcamī, sūryodaya 06:31, sūryāsta 17:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3181-11-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3181-11-15","sa":"https://sa.vidhyamitra.com/city/mathura/-3181-11-15","hi":"https://hi.vidhyamitra.com/city/mathura/-3181-11-15","x-default":"https://vidhyamitra.com/city/mathura/-3181-11-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-06T12:38:26.052Z","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":"2026-09-06T12:38:26.052Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-06T12:38:26.052Z","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"}}}