{"id":"vidhyamitra:city-day:mathura:-3181-11-09:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3181-11-09","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3181-11-09","date_display":"November 9, 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":9,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":559509.770833,"kali_year":-79,"ahargana":-28955.7292,"sun":{"sidereal_longitude":261.3356,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":71.9664,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":170.6308,"elapsed_within_tithi_degrees":2.6308},"nakshatra":{"number":6,"name":"Ārdrā","pada":2,"moon_longitude":71.9664,"elapsed_within_degrees":5.2997},"yoga":{"number":25,"name":"Brahma","sum_longitude":333.302},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"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":9,"hour":6,"minute":30,"calendar":"julian"},"julian_day":559509.770833,"ahargana":-28955.7292,"kali_year":-79,"ayanamsa_lahiri":-48.5103,"grahas":{"sun":{"sidereal_longitude":261.3356,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":71.9664,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false,"latitude":1.7022},"mars":{"sidereal_longitude":287.6806,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":269.5963,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":124.7882,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":307.3103,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":123.4993,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":274.2139,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":94.2139,"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":9,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":559509.770833,"kali_year":-79,"ahargana":-28955.7292,"sun":{"sidereal_longitude":261.3356,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":71.9664,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":170.6308,"elapsed_within_tithi_degrees":2.6308},"nakshatra":{"number":6,"name":"Ārdrā","pada":2,"moon_longitude":71.9664,"elapsed_within_degrees":5.2997},"yoga":{"number":25,"name":"Brahma","sum_longitude":333.302},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.702,"elongation":170.631},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.702,"opposition_distance":9.369}},"eclipse_window_40days":[{"offset_days":1,"type":"lunar","occurs":true,"moon_latitude":0.741,"opposition_distance":2.308},{"offset_days":16,"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":"06:26","sunsetLocal":"17:41","solarNoonLocal":"12:03","dayLengthHours":11.249225649797886,"dayLengthDisplay":"11 Hours 14 Mins 57 Secs","nightLengthDisplay":"12 Hours 45 Mins 03 Secs","moonriseLocal":"17:04","moonsetLocal":"05:48","rahuKala":{"name":"Rāhu Kāla","start":"07:50","end":"09:15","startHours":7.838809381564298,"endHours":9.244962587789033,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:39","end":"12:03","startHours":10.65111579401377,"endHours":12.057269000238506,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:28","end":"14:52","startHours":13.46342220646324,"endHours":14.869575412687976,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:03","end":"09:26","startHours":9.057475493625736,"endHours":9.432449681952331,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:54","end":"07:12","startHours":6.901373910747807,"endHours":7.201353261409085,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:26","startHours":11.682294811911909,"endHours":12.432243188565103,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:56","end":"05:41","startHours":4.932759422033177,"endHours":5.68270779868637,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:30","end":"06:26","startHours":5.495220704523072,"endHours":6.432656175339562,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:56","end":"14:41","startHours":13.932139941871487,"endHours":14.682088318524679,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:29","end":"17:53","startHours":17.48188182513745,"endHours":17.881881825137448,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:41","end":"18:09","startHours":17.68188182513745,"endHours":18.150599560545693,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:26","end":"19:11","startHours":17.43188182513745,"endHours":19.18188182513745,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:26","startHours":23.68229481191191,"endHours":24.432243188565103,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:26","end":"07:50","startHours":6.432656175339562,"endHours":7.838809381564298,"quality":"auspicious"},{"name":"Kāla","start":"07:50","end":"09:15","startHours":7.838809381564298,"endHours":9.244962587789033,"quality":"inauspicious"},{"name":"Śubha","start":"09:15","end":"10:39","startHours":9.244962587789033,"endHours":10.65111579401377,"quality":"auspicious"},{"name":"Roga","start":"10:39","end":"12:03","startHours":10.65111579401377,"endHours":12.057269000238506,"quality":"inauspicious"},{"name":"Udveg","start":"12:03","end":"13:28","startHours":12.057269000238506,"endHours":13.46342220646324,"quality":"inauspicious"},{"name":"Chala","start":"13:28","end":"14:52","startHours":13.46342220646324,"endHours":14.869575412687976,"quality":"neutral"},{"name":"Labha","start":"14:52","end":"16:17","startHours":14.869575412687976,"endHours":16.275728618912712,"quality":"auspicious"},{"name":"Amṛta","start":"16:17","end":"17:41","startHours":16.275728618912712,"endHours":17.68188182513745,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:41","end":"19:17","startHours":17.68188182513745,"endHours":19.275728618912712,"quality":"neutral"},{"name":"Labha","start":"19:17","end":"20:52","startHours":19.275728618912712,"endHours":20.86957541268798,"quality":"auspicious"},{"name":"Amṛta","start":"20:52","end":"22:28","startHours":20.86957541268798,"endHours":22.463422206463243,"quality":"auspicious"},{"name":"Kāla","start":"22:28","end":"00:03","startHours":22.463422206463243,"endHours":24.057269000238506,"quality":"inauspicious"},{"name":"Śubha","start":"00:03","end":"01:39","startHours":24.057269000238506,"endHours":25.65111579401377,"quality":"auspicious"},{"name":"Roga","start":"01:39","end":"03:15","startHours":25.65111579401377,"endHours":27.244962587789033,"quality":"inauspicious"},{"name":"Udveg","start":"03:15","end":"04:50","startHours":27.244962587789033,"endHours":28.8388093815643,"quality":"inauspicious"},{"name":"Chala","start":"04:50","end":"06:26","startHours":28.8388093815643,"endHours":30.432656175339563,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:26","end":"07:26","startHours":6.432656175339562,"endHours":7.432656175339562,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:26","end":"08:26","startHours":7.432656175339562,"endHours":8.432656175339563,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:26","end":"09:26","startHours":8.432656175339563,"endHours":9.432656175339563,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:26","end":"10:26","startHours":9.432656175339563,"endHours":10.432656175339563,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:26","end":"11:26","startHours":10.432656175339563,"endHours":11.432656175339563,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:26","end":"12:26","startHours":11.432656175339563,"endHours":12.432656175339563,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:26","end":"13:26","startHours":12.432656175339563,"endHours":13.432656175339563,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:26","end":"14:26","startHours":13.432656175339563,"endHours":14.432656175339563,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:26","end":"15:26","startHours":14.432656175339563,"endHours":15.432656175339563,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:26","end":"16:26","startHours":15.432656175339563,"endHours":16.432656175339563,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:26","end":"17:26","startHours":16.432656175339563,"endHours":17.432656175339563,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:26","end":"18:26","startHours":17.432656175339563,"endHours":18.432656175339563,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:26","end":"19:26","startHours":18.432656175339563,"endHours":19.432656175339563,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:26","end":"20:26","startHours":19.432656175339563,"endHours":20.432656175339563,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:26","end":"21:26","startHours":20.432656175339563,"endHours":21.432656175339563,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:26","end":"22:26","startHours":21.432656175339563,"endHours":22.432656175339563,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:26","end":"23:26","startHours":22.432656175339563,"endHours":23.432656175339563,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:26","end":"00:26","startHours":23.432656175339563,"endHours":24.432656175339563,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:26","end":"01:26","startHours":24.432656175339563,"endHours":25.432656175339563,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:26","end":"02:26","startHours":25.432656175339563,"endHours":26.432656175339563,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:26","end":"03:26","startHours":26.432656175339563,"endHours":27.432656175339563,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:26","end":"04:26","startHours":27.432656175339563,"endHours":28.432656175339563,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:26","end":"05:26","startHours":28.432656175339563,"endHours":29.432656175339563,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:26","end":"06:26","startHours":29.432656175339563,"endHours":30.432656175339563,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"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":"East (Pūrva)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Mudgara","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":-12.450879633140287,"eotMinutes":15.86905998568972,"ayanamsa":-48.5103}},"calendars":{"vikram_samvat":-3124,"saka_samvat":-3259,"bengali_samvat":-3774,"malayalam_era":-4005,"nanakshahi_year":-4650,"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 Pūrṇimā · Vikram -3124 undefined · Śaka -3259 undefined"},"festivals":[{"id":"paush-purnima","name":"Pauṣa Pūrṇimā (Śākambharī Devī Jayantī)","name_sanskrit":"पौष पूर्णिमा","tradition":"Pan-Hindu","associated_deity":"Devī Śākambharī","significance":"Manifestation of Devī Śākambharī (vegetation-mother).","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Pauṣa"},"precedence":3}],"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 Pauṣa Pūrṇimā (Śākambharī Devī Jayantī) 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 9, 3182 BCE · Mathurā · Vidhyamitra","description":"November 9, 3182 BCE for Mathurā: Śukla Pūrṇimā, sūryodaya 06:26, sūryāsta 17:41.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3181-11-09","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3181-11-09","sa":"https://sa.vidhyamitra.com/city/mathura/-3181-11-09","hi":"https://hi.vidhyamitra.com/city/mathura/-3181-11-09","x-default":"https://vidhyamitra.com/city/mathura/-3181-11-09"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T20:46:07.644Z","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":"2026-08-10T20:46:07.644Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T20:46:07.644Z","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":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","reader-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"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"}}}