{"id":"vidhyamitra:city-day:mathura:-3164-11-02:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3164-11-02","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3164-11-02","date_display":"November 2, 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":2,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565712.770833,"kali_year":-62,"ahargana":-22752.7292,"sun":{"sidereal_longitude":254.757,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":81.8356,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":187.0787,"elapsed_within_tithi_degrees":7.0787},"nakshatra":{"number":7,"name":"Punarvasu","pada":1,"moon_longitude":81.8356,"elapsed_within_degrees":1.8356},"yoga":{"number":26,"name":"Indra","sum_longitude":336.5926},"karana":{"half_tithi_index":31,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2,"hour":6,"minute":30,"calendar":"julian"},"julian_day":565712.770833,"ahargana":-22752.7292,"kali_year":-62,"ayanamsa_lahiri":-48.273,"grahas":{"sun":{"sidereal_longitude":254.757,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":81.8356,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false,"latitude":3.1081},"mars":{"sidereal_longitude":292.9139,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":231.7596,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":262.8974,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":259.8636,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":305.3163,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":305.5491,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":125.5491,"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":2,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565712.770833,"kali_year":-62,"ahargana":-22752.7292,"sun":{"sidereal_longitude":254.757,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":81.8356,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":187.0787,"elapsed_within_tithi_degrees":7.0787},"nakshatra":{"number":7,"name":"Punarvasu","pada":1,"moon_longitude":81.8356,"elapsed_within_degrees":1.8356},"yoga":{"number":26,"name":"Indra","sum_longitude":336.5926},"karana":{"half_tithi_index":31,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.108,"elongation":172.921},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.108,"opposition_distance":7.079}},"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":"06:21","sunsetLocal":"17:45","solarNoonLocal":"12:03","dayLengthHours":11.410136932105416,"dayLengthDisplay":"11 Hours 24 Mins 36 Secs","nightLengthDisplay":"12 Hours 35 Mins 24 Secs","moonriseLocal":"18:02","moonsetLocal":"07:01","rahuKala":{"name":"Rāhu Kāla","start":"14:54","end":"16:20","startHours":14.900652079616439,"endHours":16.326919196129616,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:12","end":"10:37","startHours":9.19558361356373,"endHours":10.621850730076908,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:03","end":"13:28","startHours":12.048117846590085,"endHours":13.474384963103262,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:00","end":"09:23","startHours":9.005414664695307,"endHours":9.385752562432154,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:49","end":"07:07","startHours":6.818471752708436,"endHours":7.122742070897914,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:40","end":"12:26","startHours":11.667779948853237,"endHours":12.428455744326932,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:49","end":"05:35","startHours":4.8216977895899875,"endHours":5.5823735850636815,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:24","end":"06:21","startHours":5.392204636195259,"endHours":6.343049380537376,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:57","end":"14:43","startHours":13.949807335274322,"endHours":14.710483130748017,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:33","end":"17:57","startHours":17.553186312642794,"endHours":17.953186312642792,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:45","end":"18:14","startHours":17.753186312642793,"endHours":18.228608684813853,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:30","end":"19:15","startHours":17.503186312642793,"endHours":19.253186312642793,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:40","end":"00:26","startHours":23.667779948853237,"endHours":24.428455744326932,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:21","end":"07:46","startHours":6.343049380537376,"endHours":7.7693164970505535,"quality":"inauspicious"},{"name":"Udveg","start":"07:46","end":"09:12","startHours":7.7693164970505535,"endHours":9.19558361356373,"quality":"inauspicious"},{"name":"Chala","start":"09:12","end":"10:37","startHours":9.19558361356373,"endHours":10.621850730076908,"quality":"neutral"},{"name":"Labha","start":"10:37","end":"12:03","startHours":10.621850730076908,"endHours":12.048117846590085,"quality":"auspicious"},{"name":"Amṛta","start":"12:03","end":"13:28","startHours":12.048117846590085,"endHours":13.474384963103262,"quality":"auspicious"},{"name":"Kāla","start":"13:28","end":"14:54","startHours":13.474384963103262,"endHours":14.900652079616439,"quality":"inauspicious"},{"name":"Śubha","start":"14:54","end":"16:20","startHours":14.900652079616439,"endHours":16.326919196129616,"quality":"auspicious"},{"name":"Roga","start":"16:20","end":"17:45","startHours":16.326919196129616,"endHours":17.753186312642793,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:45","end":"19:20","startHours":17.753186312642793,"endHours":19.326919196129616,"quality":"inauspicious"},{"name":"Śubha","start":"19:20","end":"20:54","startHours":19.326919196129616,"endHours":20.90065207961644,"quality":"auspicious"},{"name":"Roga","start":"20:54","end":"22:28","startHours":20.90065207961644,"endHours":22.47438496310326,"quality":"inauspicious"},{"name":"Udveg","start":"22:28","end":"00:03","startHours":22.47438496310326,"endHours":24.048117846590085,"quality":"inauspicious"},{"name":"Chala","start":"00:03","end":"01:37","startHours":24.048117846590085,"endHours":25.621850730076908,"quality":"neutral"},{"name":"Labha","start":"01:37","end":"03:12","startHours":25.621850730076908,"endHours":27.19558361356373,"quality":"auspicious"},{"name":"Amṛta","start":"03:12","end":"04:46","startHours":27.19558361356373,"endHours":28.769316497050553,"quality":"auspicious"},{"name":"Kāla","start":"04:46","end":"06:21","startHours":28.769316497050553,"endHours":30.343049380537376,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:21","end":"07:21","startHours":6.343049380537376,"endHours":7.343049380537376,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:21","end":"08:21","startHours":7.343049380537376,"endHours":8.343049380537376,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:21","end":"09:21","startHours":8.343049380537376,"endHours":9.343049380537376,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:21","end":"10:21","startHours":9.343049380537376,"endHours":10.343049380537376,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:21","end":"11:21","startHours":10.343049380537376,"endHours":11.343049380537376,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:21","end":"12:21","startHours":11.343049380537376,"endHours":12.343049380537376,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:21","end":"13:21","startHours":12.343049380537376,"endHours":13.343049380537376,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:21","end":"14:21","startHours":13.343049380537376,"endHours":14.343049380537376,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:21","end":"15:21","startHours":14.343049380537376,"endHours":15.343049380537376,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:21","end":"16:21","startHours":15.343049380537376,"endHours":16.343049380537376,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:21","end":"17:21","startHours":16.343049380537376,"endHours":17.343049380537376,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:21","end":"18:21","startHours":17.343049380537376,"endHours":18.343049380537376,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:21","end":"19:21","startHours":18.343049380537376,"endHours":19.343049380537376,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:21","end":"20:21","startHours":19.343049380537376,"endHours":20.343049380537376,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:21","end":"21:21","startHours":20.343049380537376,"endHours":21.343049380537376,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:21","end":"22:21","startHours":21.343049380537376,"endHours":22.343049380537376,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:21","end":"23:21","startHours":22.343049380537376,"endHours":23.343049380537376,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:21","end":"00:21","startHours":23.343049380537376,"endHours":24.343049380537376,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:21","end":"01:21","startHours":24.343049380537376,"endHours":25.343049380537376,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:21","end":"02:21","startHours":25.343049380537376,"endHours":26.343049380537376,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:21","end":"03:21","startHours":26.343049380537376,"endHours":27.343049380537376,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:21","end":"04:21","startHours":27.343049380537376,"endHours":28.343049380537376,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:21","end":"05:21","startHours":28.343049380537376,"endHours":29.343049380537376,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:21","end":"06:21","startHours":29.343049380537376,"endHours":30.343049380537376,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"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":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Lumba","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":-10.216487660817913,"eotMinutes":16.418129204594955,"ayanamsa":-48.273}},"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 Pratipada · Vikram -3107 undefined · Śaka -3242 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 2, 3165 BCE · Mathurā · Vidhyamitra","description":"November 2, 3165 BCE for Mathurā: Kṛṣṇa Pratipada, sūryodaya 06:21, sūryāsta 17:45.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3164-11-02","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3164-11-02","sa":"https://sa.vidhyamitra.com/city/mathura/-3164-11-02","hi":"https://hi.vidhyamitra.com/city/mathura/-3164-11-02","x-default":"https://vidhyamitra.com/city/mathura/-3164-11-02"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T21:53:42.939Z","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":"2026-08-10T21:53:42.939Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T21:53:42.939Z","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"}}}