{"id":"vidhyamitra:city-day:varanasi:-3111-09-02:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/-3111-09-02","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3111-09-02","date_display":"September 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":9,"day":2,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":585009.770833,"kali_year":-9,"ahargana":-3455.7292,"sun":{"sidereal_longitude":191.874,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":180.1724,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":348.2983,"elapsed_within_tithi_degrees":0.2983},"nakshatra":{"number":14,"name":"Citrā","pada":3,"moon_longitude":180.1724,"elapsed_within_degrees":6.839},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":12.0464},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":9,"day":2,"hour":6,"minute":30,"calendar":"julian"},"julian_day":585009.770833,"ahargana":-3455.7292,"kali_year":-9,"ayanamsa_lahiri":-47.535,"grahas":{"sun":{"sidereal_longitude":191.874,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":180.1724,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false,"latitude":0.2297},"mars":{"sidereal_longitude":323.9796,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":211.0752,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":88.8862,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"venus":{"sidereal_longitude":205.3774,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":239.6054,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":3.1012,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":183.1012,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"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":9,"day":2,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":585009.770833,"kali_year":-9,"ahargana":-3455.7292,"sun":{"sidereal_longitude":191.874,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":180.1724,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":348.2983,"elapsed_within_tithi_degrees":0.2983},"nakshatra":{"number":14,"name":"Citrā","pada":3,"moon_longitude":180.1724,"elapsed_within_degrees":6.839},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":12.0464},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.23,"elongation":11.702},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.23,"opposition_distance":168.298}},"eclipse_window_40days":[{"offset_days":-15,"type":"lunar","occurs":true,"moon_latitude":-0.774,"opposition_distance":2.922},{"offset_days":1,"type":"solar","occurs":true,"moon_latitude":-0.866,"elongation":1.273}]},"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":"05:28","sunsetLocal":"18:27","solarNoonLocal":"11:57","dayLengthHours":12.99055217105559,"dayLengthDisplay":"12 Hours 59 Mins 26 Secs","nightLengthDisplay":"11 Hours 00 Mins 34 Secs","moonriseLocal":"04:34","moonsetLocal":"17:47","rahuKala":{"name":"Rāhu Kāla","start":"16:50","end":"18:27","startHours":16.82633435757063,"endHours":18.450153378952578,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:57","end":"13:35","startHours":11.954877293424783,"endHours":13.57869631480673,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:12","end":"16:50","startHours":15.202515336188679,"endHours":16.82633435757063,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:29","end":"08:55","startHours":8.490730047809958,"endHours":8.923748453511811,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:00","end":"06:21","startHours":6.000874215024303,"endHours":6.347288939585785,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:31","end":"12:23","startHours":11.52185888772293,"endHours":12.387895699126636,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:44","end":"04:36","startHours":3.727527585089575,"endHours":4.593564396493281,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:23","end":"05:28","startHours":4.377055193642354,"endHours":5.459601207896987,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:07","end":"14:59","startHours":14.119969321934047,"endHours":14.986006133337753,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:15","end":"18:39","startHours":18.25015337895258,"endHours":18.650153378952577,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:27","end":"18:59","startHours":18.450153378952578,"endHours":18.991426386079894,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:12","end":"19:57","startHours":18.200153378952578,"endHours":19.950153378952578,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:31","end":"00:23","startHours":23.52185888772293,"endHours":24.387895699126634,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:28","end":"07:05","startHours":5.459601207896987,"endHours":7.083420229278936,"quality":"inauspicious"},{"name":"Chala","start":"07:05","end":"08:42","startHours":7.083420229278936,"endHours":8.707239250660884,"quality":"neutral"},{"name":"Labha","start":"08:42","end":"10:20","startHours":8.707239250660884,"endHours":10.331058272042833,"quality":"auspicious"},{"name":"Amṛta","start":"10:20","end":"11:57","startHours":10.331058272042833,"endHours":11.954877293424783,"quality":"auspicious"},{"name":"Kāla","start":"11:57","end":"13:35","startHours":11.954877293424783,"endHours":13.57869631480673,"quality":"inauspicious"},{"name":"Śubha","start":"13:35","end":"15:12","startHours":13.57869631480673,"endHours":15.202515336188679,"quality":"auspicious"},{"name":"Roga","start":"15:12","end":"16:50","startHours":15.202515336188679,"endHours":16.82633435757063,"quality":"inauspicious"},{"name":"Udveg","start":"16:50","end":"18:27","startHours":16.82633435757063,"endHours":18.450153378952578,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:27","end":"19:50","startHours":18.450153378952578,"endHours":19.82633435757063,"quality":"auspicious"},{"name":"Roga","start":"19:50","end":"21:12","startHours":19.82633435757063,"endHours":21.202515336188682,"quality":"inauspicious"},{"name":"Udveg","start":"21:12","end":"22:35","startHours":21.202515336188682,"endHours":22.57869631480673,"quality":"inauspicious"},{"name":"Chala","start":"22:35","end":"23:57","startHours":22.57869631480673,"endHours":23.954877293424783,"quality":"neutral"},{"name":"Labha","start":"23:57","end":"01:20","startHours":23.954877293424783,"endHours":25.331058272042835,"quality":"auspicious"},{"name":"Amṛta","start":"01:20","end":"02:42","startHours":25.331058272042835,"endHours":26.707239250660884,"quality":"auspicious"},{"name":"Kāla","start":"02:42","end":"04:05","startHours":26.707239250660884,"endHours":28.083420229278936,"quality":"inauspicious"},{"name":"Śubha","start":"04:05","end":"05:28","startHours":28.083420229278936,"endHours":29.459601207896988,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:28","end":"06:28","startHours":5.459601207896987,"endHours":6.459601207896987,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:28","end":"07:28","startHours":6.459601207896987,"endHours":7.459601207896987,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:28","end":"08:28","startHours":7.459601207896987,"endHours":8.459601207896988,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:28","end":"09:28","startHours":8.459601207896988,"endHours":9.459601207896988,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:28","end":"10:28","startHours":9.459601207896988,"endHours":10.459601207896988,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:28","end":"11:28","startHours":10.459601207896988,"endHours":11.459601207896988,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:28","end":"12:28","startHours":11.459601207896988,"endHours":12.459601207896988,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:28","end":"13:28","startHours":12.459601207896988,"endHours":13.459601207896988,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:28","end":"14:28","startHours":13.459601207896988,"endHours":14.459601207896988,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:28","end":"15:28","startHours":14.459601207896988,"endHours":15.459601207896988,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:28","end":"16:28","startHours":15.459601207896988,"endHours":16.459601207896988,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:28","end":"17:28","startHours":16.459601207896988,"endHours":17.459601207896988,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:28","end":"18:28","startHours":17.459601207896988,"endHours":18.459601207896988,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:28","end":"19:28","startHours":18.459601207896988,"endHours":19.459601207896988,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:28","end":"20:28","startHours":19.459601207896988,"endHours":20.459601207896988,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:28","end":"21:28","startHours":20.459601207896988,"endHours":21.459601207896988,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:28","end":"22:28","startHours":21.459601207896988,"endHours":22.459601207896988,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:28","end":"23:28","startHours":22.459601207896988,"endHours":23.459601207896988,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:28","end":"00:28","startHours":23.459601207896988,"endHours":24.459601207896988,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:28","end":"01:28","startHours":24.459601207896988,"endHours":25.459601207896988,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:28","end":"02:28","startHours":25.459601207896988,"endHours":26.459601207896988,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:28","end":"03:28","startHours":26.459601207896988,"endHours":27.459601207896988,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:28","end":"04:28","startHours":27.459601207896988,"endHours":28.459601207896988,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:28","end":"05:28","startHours":28.459601207896988,"endHours":29.459601207896988,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"North","rahuVasa":"North-East","anandadiYoga":{"name":"Padma","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":13.407390278764396,"eotMinutes":0.8117623945129984,"ayanamsa":-47.535}},"calendars":{"vikram_samvat":-3054,"saka_samvat":-3189,"bengali_samvat":-3704,"malayalam_era":-3935,"nanakshahi_year":-4580,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","lunar_month_amanta":"Kārtika","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Amāvasyā · Vikram -3054 undefined · Śaka -3189 undefined"},"festivals":[{"id":"diwali","name":"Dīpāvalī (Diwali)","name_sanskrit":"दीपावली","tradition":"Pan-Hindu","associated_deity":"Lakshmi-Mata","significance":"Lakshmi-Pūjā night; festival of lights; Rāma's return to Ayodhyā.","vrata":false,"detection":{"tithi_number":30,"lunar_month":"Kārtika"},"precedence":1},{"id":"lakshmi-puja","name":"Lakṣmī Pūjā (Diwali main day)","name_sanskrit":"लक्ष्मी पूजा","tradition":"Pan-Hindu","associated_deity":"Mahā-Lakṣmī","significance":"Mahā-Lakṣmī Pūjā on Kārtika Amāvasyā; Diwali main day.","vrata":true,"primary_observance":"Pradoṣa-time Lakṣmī-pūjā in cleaned home; deepa-mālā lighting.","detection":{"tithi_number":30,"tithi_paksha":"Kṛṣṇa","lunar_month":"Kārtika"},"precedence":1}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Dedicated festival walk for Dīpāvalī (Diwali) · Lakṣmī Pūjā (Diwali main day) is not live yet; Ravivāra (Sunday) — 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 September 2, 3112 BCE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"September 2, 3112 BCE for Vārāṇasī (Kāśī): Kṛṣṇa Amāvasyā, sūryodaya 05:28, sūryāsta 18:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/-3111-09-02","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/-3111-09-02","sa":"https://sa.vidhyamitra.com/city/varanasi/-3111-09-02","hi":"https://hi.vidhyamitra.com/city/varanasi/-3111-09-02","x-default":"https://vidhyamitra.com/city/varanasi/-3111-09-02"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-13T22:13:20.623Z","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":"2026-08-13T22:13:20.623Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-13T22:13:20.623Z","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"}}}