{"id":"vidhyamitra:city-day:mathura:-3164-11-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3164-11-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3164-11-15","date_display":"November 15, 3165 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":-3164,"month":11,"day":15,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565725.770833,"kali_year":-62,"ahargana":-22739.7292,"sun":{"sidereal_longitude":268.1196,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":253.185,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":345.0654,"elapsed_within_tithi_degrees":9.0654},"nakshatra":{"number":19,"name":"Mūla","pada":4,"moon_longitude":253.185,"elapsed_within_degrees":13.185},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":161.3047},"karana":{"half_tithi_index":57,"name":"Śakuni"},"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":-3164,"month":11,"day":15,"hour":6,"minute":30,"calendar":"julian"},"julian_day":565725.770833,"ahargana":-22739.7292,"kali_year":-62,"ayanamsa_lahiri":-48.2725,"grahas":{"sun":{"sidereal_longitude":268.1196,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":253.185,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false,"latitude":-3.5289},"mars":{"sidereal_longitude":302.8717,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":245.3597,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":265.9872,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":276.2931,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":306.6003,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":304.8603,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":124.8603,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"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":-3164,"month":11,"day":15,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565725.770833,"kali_year":-62,"ahargana":-22739.7292,"sun":{"sidereal_longitude":268.1196,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":253.185,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":345.0654,"elapsed_within_tithi_degrees":9.0654},"nakshatra":{"number":19,"name":"Mūla","pada":4,"moon_longitude":253.185,"elapsed_within_degrees":13.185},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":161.3047},"karana":{"half_tithi_index":57,"name":"Śakuni"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.529,"elongation":14.935},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.529,"opposition_distance":165.065}},"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":11.079513449556266,"dayLengthDisplay":"11 Hours 04 Mins 46 Secs","nightLengthDisplay":"12 Hours 55 Mins 14 Secs","moonriseLocal":"05:22","moonsetLocal":"16:47","rahuKala":{"name":"Rāhu Kāla","start":"07:55","end":"09:18","startHours":7.918988032498619,"endHours":9.303927213693152,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:41","end":"12:04","startHours":10.688866394887686,"endHours":12.073805576082218,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:28","end":"14:51","startHours":13.458744757276751,"endHours":14.843683938471285,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:07","end":"09:29","startHours":9.119268656200546,"endHours":9.488585771185756,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:00","end":"07:17","startHours":6.995695245035597,"endHours":7.291148937023764,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:42","end":"12:27","startHours":11.704488461097009,"endHours":12.443122691067428,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:03","end":"05:48","startHours":5.05678039136325,"endHours":5.795414621333667,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:37","end":"06:32","startHours":5.610756063841063,"endHours":6.534048851304085,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:55","end":"14:40","startHours":13.920391151008262,"endHours":14.65902538097868,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:25","end":"17:49","startHours":17.413562300860352,"endHours":17.81356230086035,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:37","end":"18:05","startHours":17.61356230086035,"endHours":18.07520869459186,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:22","end":"19:07","startHours":17.36356230086035,"endHours":19.11356230086035,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:42","end":"00:27","startHours":23.70448846109701,"endHours":24.443122691067426,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:32","end":"07:55","startHours":6.534048851304085,"endHours":7.918988032498619,"quality":"auspicious"},{"name":"Kāla","start":"07:55","end":"09:18","startHours":7.918988032498619,"endHours":9.303927213693152,"quality":"inauspicious"},{"name":"Śubha","start":"09:18","end":"10:41","startHours":9.303927213693152,"endHours":10.688866394887686,"quality":"auspicious"},{"name":"Roga","start":"10:41","end":"12:04","startHours":10.688866394887686,"endHours":12.073805576082218,"quality":"inauspicious"},{"name":"Udveg","start":"12:04","end":"13:28","startHours":12.073805576082218,"endHours":13.458744757276751,"quality":"inauspicious"},{"name":"Chala","start":"13:28","end":"14:51","startHours":13.458744757276751,"endHours":14.843683938471285,"quality":"neutral"},{"name":"Labha","start":"14:51","end":"16:14","startHours":14.843683938471285,"endHours":16.22862311966582,"quality":"auspicious"},{"name":"Amṛta","start":"16:14","end":"17:37","startHours":16.22862311966582,"endHours":17.61356230086035,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:37","end":"19:14","startHours":17.61356230086035,"endHours":19.22862311966582,"quality":"neutral"},{"name":"Labha","start":"19:14","end":"20:51","startHours":19.22862311966582,"endHours":20.843683938471287,"quality":"auspicious"},{"name":"Amṛta","start":"20:51","end":"22:28","startHours":20.843683938471287,"endHours":22.45874475727675,"quality":"auspicious"},{"name":"Kāla","start":"22:28","end":"00:04","startHours":22.45874475727675,"endHours":24.07380557608222,"quality":"inauspicious"},{"name":"Śubha","start":"00:04","end":"01:41","startHours":24.07380557608222,"endHours":25.688866394887686,"quality":"auspicious"},{"name":"Roga","start":"01:41","end":"03:18","startHours":25.688866394887686,"endHours":27.30392721369315,"quality":"inauspicious"},{"name":"Udveg","start":"03:18","end":"04:55","startHours":27.30392721369315,"endHours":28.918988032498618,"quality":"inauspicious"},{"name":"Chala","start":"04:55","end":"06:32","startHours":28.918988032498618,"endHours":30.534048851304085,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:32","end":"07:32","startHours":6.534048851304085,"endHours":7.534048851304085,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:32","end":"08:32","startHours":7.534048851304085,"endHours":8.534048851304085,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:32","end":"09:32","startHours":8.534048851304085,"endHours":9.534048851304085,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:32","end":"10:32","startHours":9.534048851304085,"endHours":10.534048851304085,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:32","end":"11:32","startHours":10.534048851304085,"endHours":11.534048851304085,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:32","end":"12:32","startHours":11.534048851304085,"endHours":12.534048851304085,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:32","end":"13:32","startHours":12.534048851304085,"endHours":13.534048851304085,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:32","end":"14:32","startHours":13.534048851304085,"endHours":14.534048851304085,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:32","end":"15:32","startHours":14.534048851304085,"endHours":15.534048851304085,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:32","end":"16:32","startHours":15.534048851304085,"endHours":16.534048851304085,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:32","end":"17:32","startHours":16.534048851304085,"endHours":17.534048851304085,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:32","end":"18:32","startHours":17.534048851304085,"endHours":18.534048851304085,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:32","end":"19:32","startHours":18.534048851304085,"endHours":19.534048851304085,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:32","end":"20:32","startHours":19.534048851304085,"endHours":20.534048851304085,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:32","end":"21:32","startHours":20.534048851304085,"endHours":21.534048851304085,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:32","end":"22:32","startHours":21.534048851304085,"endHours":22.534048851304085,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:32","end":"23:32","startHours":22.534048851304085,"endHours":23.534048851304085,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:32","end":"00:32","startHours":23.534048851304085,"endHours":24.534048851304085,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:32","end":"01:32","startHours":24.534048851304085,"endHours":25.534048851304085,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:32","end":"02:32","startHours":25.534048851304085,"endHours":26.534048851304085,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:32","end":"03:32","startHours":26.534048851304085,"endHours":27.534048851304085,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:32","end":"04:32","startHours":27.534048851304085,"endHours":28.534048851304085,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:32","end":"05:32","startHours":28.534048851304085,"endHours":29.534048851304085,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:32","end":"06:32","startHours":29.534048851304085,"endHours":30.534048851304085,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Gada","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":-14.76431288361364,"eotMinutes":14.876865435066838,"ayanamsa":-48.2725}},"calendars":{"vikram_samvat":-3107,"saka_samvat":-3242,"bengali_samvat":-3757,"malayalam_era":-3988,"nanakshahi_year":-4633,"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 Caturdaśī · Vikram -3107 undefined · Śaka -3242 undefined"},"festivals":[{"id":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"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 Māsika Śivarātri 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 15, 3165 BCE · Mathurā · Vidhyamitra","description":"November 15, 3165 BCE for Mathurā: Kṛṣṇa Caturdaśī, sūryodaya 06:32, sūryāsta 17:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3164-11-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3164-11-15","sa":"https://sa.vidhyamitra.com/city/mathura/-3164-11-15","hi":"https://hi.vidhyamitra.com/city/mathura/-3164-11-15","x-default":"https://vidhyamitra.com/city/mathura/-3164-11-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T22:23:26.705Z","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":"2026-08-10T22:23:26.705Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T22:23:26.705Z","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"}}}