{"id":"vidhyamitra:city-day:mathura:-3181-11-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3181-11-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3181-11-16","date_display":"November 16, 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":16,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":559516.770833,"kali_year":-79,"ahargana":-28948.7292,"sun":{"sidereal_longitude":268.5294,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":158.9062,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":250.3768,"elapsed_within_tithi_degrees":10.3768},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4,"moon_longitude":158.9062,"elapsed_within_degrees":12.2395},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":67.4355},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"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":-3181,"month":11,"day":16,"hour":6,"minute":30,"calendar":"julian"},"julian_day":559516.770833,"ahargana":-28948.7292,"kali_year":-79,"ayanamsa_lahiri":-48.51,"grahas":{"sun":{"sidereal_longitude":268.5294,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":158.9062,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false,"latitude":-4.0797},"mars":{"sidereal_longitude":293.0892,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":280.8642,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":124.2576,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":312.9785,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":123.1102,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":273.843,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":93.843,"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":16,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":559516.770833,"kali_year":-79,"ahargana":-28948.7292,"sun":{"sidereal_longitude":268.5294,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":158.9062,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":250.3768,"elapsed_within_tithi_degrees":10.3768},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4,"moon_longitude":158.9062,"elapsed_within_degrees":12.2395},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":67.4355},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.08,"elongation":109.623},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.08,"opposition_distance":70.377}},"eclipse_window_40days":[{"offset_days":-6,"type":"lunar","occurs":true,"moon_latitude":0.741,"opposition_distance":2.308},{"offset_days":9,"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":"06:32","sunsetLocal":"17:37","solarNoonLocal":"12:05","dayLengthHours":11.075482525619584,"dayLengthDisplay":"11 Hours 04 Mins 32 Secs","nightLengthDisplay":"12 Hours 55 Mins 28 Secs","moonriseLocal":"21:55","moonsetLocal":"11:37","rahuKala":{"name":"Rāhu Kāla","start":"07:55","end":"09:19","startHours":7.924009028705642,"endHours":9.308444344408091,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:42","end":"12:05","startHours":10.692879660110538,"endHours":12.077314975812985,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:28","end":"14:51","startHours":13.461750291515434,"endHours":14.846185607217883,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:07","end":"09:30","startHours":9.123852968981097,"endHours":9.493035719835083,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:00","end":"07:18","startHours":7.0010521515706765,"endHours":7.296398352253865,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:42","end":"12:27","startHours":11.708132224959,"endHours":12.446497726666971,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:04","end":"05:48","startHours":5.062842709587249,"endHours":5.801208211295222,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:37","end":"06:32","startHours":5.6166168358682285,"endHours":6.539573713003194,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:55","end":"14:40","startHours":13.923228730082919,"endHours":14.661594231790891,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:25","end":"17:49","startHours":17.41505623862278,"endHours":17.815056238622777,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:37","end":"18:05","startHours":17.615056238622778,"endHours":18.07653467719026,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:22","end":"19:07","startHours":17.365056238622778,"endHours":19.115056238622778,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:42","end":"00:27","startHours":23.708132224958998,"endHours":24.446497726666973,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:32","end":"07:55","startHours":6.539573713003194,"endHours":7.924009028705642,"quality":"auspicious"},{"name":"Kāla","start":"07:55","end":"09:19","startHours":7.924009028705642,"endHours":9.308444344408091,"quality":"inauspicious"},{"name":"Śubha","start":"09:19","end":"10:42","startHours":9.308444344408091,"endHours":10.692879660110538,"quality":"auspicious"},{"name":"Roga","start":"10:42","end":"12:05","startHours":10.692879660110538,"endHours":12.077314975812985,"quality":"inauspicious"},{"name":"Udveg","start":"12:05","end":"13:28","startHours":12.077314975812985,"endHours":13.461750291515434,"quality":"inauspicious"},{"name":"Chala","start":"13:28","end":"14:51","startHours":13.461750291515434,"endHours":14.846185607217883,"quality":"neutral"},{"name":"Labha","start":"14:51","end":"16:14","startHours":14.846185607217883,"endHours":16.23062092292033,"quality":"auspicious"},{"name":"Amṛta","start":"16:14","end":"17:37","startHours":16.23062092292033,"endHours":17.615056238622778,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:37","end":"19:14","startHours":17.615056238622778,"endHours":19.23062092292033,"quality":"neutral"},{"name":"Labha","start":"19:14","end":"20:51","startHours":19.23062092292033,"endHours":20.846185607217883,"quality":"auspicious"},{"name":"Amṛta","start":"20:51","end":"22:28","startHours":20.846185607217883,"endHours":22.461750291515433,"quality":"auspicious"},{"name":"Kāla","start":"22:28","end":"00:05","startHours":22.461750291515433,"endHours":24.077314975812985,"quality":"inauspicious"},{"name":"Śubha","start":"00:05","end":"01:42","startHours":24.077314975812985,"endHours":25.69287966011054,"quality":"auspicious"},{"name":"Roga","start":"01:42","end":"03:19","startHours":25.69287966011054,"endHours":27.308444344408088,"quality":"inauspicious"},{"name":"Udveg","start":"03:19","end":"04:55","startHours":27.308444344408088,"endHours":28.92400902870564,"quality":"inauspicious"},{"name":"Chala","start":"04:55","end":"06:32","startHours":28.92400902870564,"endHours":30.539573713003193,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:32","end":"07:32","startHours":6.539573713003194,"endHours":7.539573713003194,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:32","end":"08:32","startHours":7.539573713003194,"endHours":8.539573713003193,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:32","end":"09:32","startHours":8.539573713003193,"endHours":9.539573713003193,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:32","end":"10:32","startHours":9.539573713003193,"endHours":10.539573713003193,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:32","end":"11:32","startHours":10.539573713003193,"endHours":11.539573713003193,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:32","end":"12:32","startHours":11.539573713003193,"endHours":12.539573713003193,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:32","end":"13:32","startHours":12.539573713003193,"endHours":13.539573713003193,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:32","end":"14:32","startHours":13.539573713003193,"endHours":14.539573713003193,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:32","end":"15:32","startHours":14.539573713003193,"endHours":15.539573713003193,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:32","end":"16:32","startHours":15.539573713003193,"endHours":16.539573713003193,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:32","end":"17:32","startHours":16.539573713003193,"endHours":17.539573713003193,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:32","end":"18:32","startHours":17.539573713003193,"endHours":18.539573713003193,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:32","end":"19:32","startHours":18.539573713003193,"endHours":19.539573713003193,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:32","end":"20:32","startHours":19.539573713003193,"endHours":20.539573713003193,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:32","end":"21:32","startHours":20.539573713003193,"endHours":21.539573713003193,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:32","end":"22:32","startHours":21.539573713003193,"endHours":22.539573713003193,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:32","end":"23:32","startHours":22.539573713003193,"endHours":23.539573713003193,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:32","end":"00:32","startHours":23.539573713003193,"endHours":24.539573713003193,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:32","end":"01:32","startHours":24.539573713003193,"endHours":25.539573713003193,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:32","end":"02:32","startHours":25.539573713003193,"endHours":26.539573713003193,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:32","end":"03:32","startHours":26.539573713003193,"endHours":27.539573713003193,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:32","end":"04:32","startHours":27.539573713003193,"endHours":28.539573713003193,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:32","end":"05:32","startHours":28.539573713003193,"endHours":29.539573713003193,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:32","end":"06:32","startHours":29.539573713003193,"endHours":30.539573713003193,"planetary_lord":"Venus"}],"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":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Utpāta","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":-14.818661687296963,"eotMinutes":14.66630145122086,"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 Ṣaṣṭhī · Vikram -3124 undefined · Śaka -3259 undefined"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti.","vrata":false,"detection":{"sun_rashi_eve_of_ingress":"Makara"},"precedence":4}],"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":"Dedicated festival walk for Lohri is not live yet; 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 November 16, 3182 BCE · Mathurā · Vidhyamitra","description":"November 16, 3182 BCE for Mathurā: Kṛṣṇa Ṣaṣṭhī, sūryodaya 06:32, sūryāsta 17:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3181-11-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3181-11-16","sa":"https://sa.vidhyamitra.com/city/mathura/-3181-11-16","hi":"https://hi.vidhyamitra.com/city/mathura/-3181-11-16","x-default":"https://vidhyamitra.com/city/mathura/-3181-11-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-06T12:28:24.927Z","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":"2026-09-06T12:28:24.927Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-06T12:28:24.927Z","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"}}}