{"id":"vidhyamitra:city-day:varanasi:-3111-08-02:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/-3111-08-02","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3111-08-02","date_display":"August 2, 3112 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":-3111,"month":8,"day":2,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":584978.770833,"kali_year":-9,"ahargana":-3486.7292,"sun":{"sidereal_longitude":161.113,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":130.9536,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":329.8407,"elapsed_within_tithi_degrees":5.8407},"nakshatra":{"number":10,"name":"Maghā","pada":4,"moon_longitude":130.9536,"elapsed_within_degrees":10.9536},"yoga":{"number":22,"name":"Sādhya","sum_longitude":292.0666},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":-3111,"month":8,"day":2,"hour":6,"minute":30,"calendar":"julian"},"julian_day":584978.770833,"ahargana":-3486.7292,"kali_year":-9,"ayanamsa_lahiri":-47.5362,"grahas":{"sun":{"sidereal_longitude":161.113,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"moon":{"sidereal_longitude":130.9536,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false,"latitude":3.6296},"mars":{"sidereal_longitude":322.5611,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":true},"mercury":{"sidereal_longitude":158.0329,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":86.4146,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"venus":{"sidereal_longitude":166.6756,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":237.3545,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":4.7437,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":184.7437,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"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":-3111,"month":8,"day":2,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":584978.770833,"kali_year":-9,"ahargana":-3486.7292,"sun":{"sidereal_longitude":161.113,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":130.9536,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":329.8407,"elapsed_within_tithi_degrees":5.8407},"nakshatra":{"number":10,"name":"Maghā","pada":4,"moon_longitude":130.9536,"elapsed_within_degrees":10.9536},"yoga":{"number":22,"name":"Sādhya","sum_longitude":292.0666},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.63,"elongation":30.159},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.63,"opposition_distance":149.841}},"eclipse_window_40days":[{"offset_days":16,"type":"lunar","occurs":true,"moon_latitude":-0.774,"opposition_distance":2.922}]},"city":{"slug":"varanasi","name":"Vārāṇasī (Kāśī)","lat":25.3176,"lon":82.9739,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"varanasi","name":"Vārāṇasī (Kāśī)","lat":25.3176,"lon":82.9739,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"05:17","sunsetLocal":"18:51","solarNoonLocal":"12:04","dayLengthHours":13.557482061181352,"dayLengthDisplay":"13 Hours 33 Mins 27 Secs","nightLengthDisplay":"10 Hours 26 Mins 33 Secs","moonriseLocal":"03:14","moonsetLocal":"16:53","rahuKala":{"name":"Rāhu Kāla","start":"13:46","end":"15:27","startHours":13.762317459649953,"endHours":15.457002717297621,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:17","end":"06:59","startHours":5.288891171411608,"endHours":6.983576429059277,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:41","end":"10:22","startHours":8.678261686706946,"endHours":10.372946944354615,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:27","end":"08:54","startHours":8.452303652353923,"endHours":8.904219721059969,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:51","end":"06:13","startHours":5.853786257294164,"endHours":6.215319112259,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:37","end":"12:31","startHours":11.615716133296239,"endHours":12.51954827070833,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:29","end":"04:23","startHours":3.481226896587428,"endHours":4.385059033999518,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:10","end":"05:17","startHours":4.159100999646496,"endHours":5.288891171411608,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:20","end":"15:14","startHours":14.32721254553251,"endHours":15.2310446829446,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:39","end":"19:03","startHours":18.64637323259296,"endHours":19.04637323259296,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:51","end":"19:25","startHours":18.84637323259296,"endHours":19.411268318475518,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:36","end":"20:21","startHours":18.59637323259296,"endHours":20.34637323259296,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:37","end":"00:31","startHours":23.615716133296242,"endHours":24.51954827070833,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:17","end":"06:59","startHours":5.288891171411608,"endHours":6.983576429059277,"quality":"auspicious"},{"name":"Roga","start":"06:59","end":"08:41","startHours":6.983576429059277,"endHours":8.678261686706946,"quality":"inauspicious"},{"name":"Udveg","start":"08:41","end":"10:22","startHours":8.678261686706946,"endHours":10.372946944354615,"quality":"inauspicious"},{"name":"Chala","start":"10:22","end":"12:04","startHours":10.372946944354615,"endHours":12.067632202002283,"quality":"neutral"},{"name":"Labha","start":"12:04","end":"13:46","startHours":12.067632202002283,"endHours":13.762317459649953,"quality":"auspicious"},{"name":"Amṛta","start":"13:46","end":"15:27","startHours":13.762317459649953,"endHours":15.457002717297621,"quality":"auspicious"},{"name":"Kāla","start":"15:27","end":"17:09","startHours":15.457002717297621,"endHours":17.15168797494529,"quality":"inauspicious"},{"name":"Śubha","start":"17:09","end":"18:51","startHours":17.15168797494529,"endHours":18.84637323259296,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:51","end":"20:09","startHours":18.84637323259296,"endHours":20.15168797494529,"quality":"auspicious"},{"name":"Kāla","start":"20:09","end":"21:27","startHours":20.15168797494529,"endHours":21.457002717297623,"quality":"inauspicious"},{"name":"Śubha","start":"21:27","end":"22:46","startHours":21.457002717297623,"endHours":22.762317459649953,"quality":"auspicious"},{"name":"Roga","start":"22:46","end":"00:04","startHours":22.762317459649953,"endHours":24.067632202002283,"quality":"inauspicious"},{"name":"Udveg","start":"00:04","end":"01:22","startHours":24.067632202002283,"endHours":25.372946944354617,"quality":"inauspicious"},{"name":"Chala","start":"01:22","end":"02:41","startHours":25.372946944354617,"endHours":26.678261686706946,"quality":"neutral"},{"name":"Labha","start":"02:41","end":"03:59","startHours":26.678261686706946,"endHours":27.983576429059276,"quality":"auspicious"},{"name":"Amṛta","start":"03:59","end":"05:17","startHours":27.983576429059276,"endHours":29.288891171411606,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:17","end":"06:17","startHours":5.288891171411608,"endHours":6.288891171411608,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:17","end":"07:17","startHours":6.288891171411608,"endHours":7.288891171411608,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:17","end":"08:17","startHours":7.288891171411608,"endHours":8.288891171411608,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:17","end":"09:17","startHours":8.288891171411608,"endHours":9.288891171411608,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:17","end":"10:17","startHours":9.288891171411608,"endHours":10.288891171411608,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:17","end":"11:17","startHours":10.288891171411608,"endHours":11.288891171411608,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:17","end":"12:17","startHours":11.288891171411608,"endHours":12.288891171411608,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:17","end":"13:17","startHours":12.288891171411608,"endHours":13.288891171411608,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:17","end":"14:17","startHours":13.288891171411608,"endHours":14.288891171411608,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:17","end":"15:17","startHours":14.288891171411608,"endHours":15.288891171411608,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:17","end":"16:17","startHours":15.288891171411608,"endHours":16.288891171411606,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:17","end":"17:17","startHours":16.288891171411606,"endHours":17.288891171411606,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:17","end":"18:17","startHours":17.288891171411606,"endHours":18.288891171411606,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:17","end":"19:17","startHours":18.288891171411606,"endHours":19.288891171411606,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:17","end":"20:17","startHours":19.288891171411606,"endHours":20.288891171411606,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:17","end":"21:17","startHours":20.288891171411606,"endHours":21.288891171411606,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:17","end":"22:17","startHours":21.288891171411606,"endHours":22.288891171411606,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:17","end":"23:17","startHours":22.288891171411606,"endHours":23.288891171411606,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:17","end":"00:17","startHours":23.288891171411606,"endHours":24.288891171411606,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:17","end":"01:17","startHours":24.288891171411606,"endHours":25.288891171411606,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:17","end":"02:17","startHours":25.288891171411606,"endHours":26.288891171411606,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:17","end":"03:17","startHours":26.288891171411606,"endHours":27.288891171411606,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:17","end":"04:17","startHours":27.288891171411606,"endHours":28.288891171411606,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:17","end":"05:17","startHours":28.288891171411606,"endHours":29.288891171411606,"planetary_lord":"Moon"}],"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","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"West","rahuVasa":"North-West","anandadiYoga":{"name":"Cara","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":21.378762457517738,"eotMinutes":-5.953532120137101,"ayanamsa":-47.5362}},"calendars":{"vikram_samvat":-3054,"saka_samvat":-3189,"bengali_samvat":-3704,"malayalam_era":-3935,"nanakshahi_year":-4580,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Trayodaśī · Vikram -3054 undefined · Śaka -3189 undefined"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Dedicated festival walk for Pradoṣa Vrata is not live yet; Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":true,"location_specific":"varanasi"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga August 2, 3112 BCE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"August 2, 3112 BCE for Vārāṇasī (Kāśī): Kṛṣṇa Trayodaśī, sūryodaya 05:17, sūryāsta 18:51.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/-3111-08-02","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/-3111-08-02","sa":"https://sa.vidhyamitra.com/city/varanasi/-3111-08-02","hi":"https://hi.vidhyamitra.com/city/varanasi/-3111-08-02","x-default":"https://vidhyamitra.com/city/varanasi/-3111-08-02"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-12T05:43:43.905Z","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":"2026-09-12T05:43:43.905Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-12T05:43:43.905Z","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"}}}