{"id":"vidhyamitra:city-day:varanasi:-3113-10-02:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/-3113-10-02","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3113-10-02","date_display":"October 2, 3114 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":-3113,"month":10,"day":2,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":584308.770833,"kali_year":-11,"ahargana":-4156.7292,"sun":{"sidereal_longitude":221.7488,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":311.7889,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":90.0401,"elapsed_within_tithi_degrees":6.0401},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2,"moon_longitude":311.7889,"elapsed_within_degrees":5.1222},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":173.5377},"karana":{"half_tithi_index":15,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":-3113,"month":10,"day":2,"hour":6,"minute":30,"calendar":"julian"},"julian_day":584308.770833,"ahargana":-4156.7292,"kali_year":-11,"ayanamsa_lahiri":-47.5618,"grahas":{"sun":{"sidereal_longitude":221.7488,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":311.7889,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false,"latitude":-4.4984},"mars":{"sidereal_longitude":304.5445,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":234.5267,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":11.3955,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":true},"venus":{"sidereal_longitude":204.4947,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":223.973,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":40.2435,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":220.2435,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","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":-3113,"month":10,"day":2,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":584308.770833,"kali_year":-11,"ahargana":-4156.7292,"sun":{"sidereal_longitude":221.7488,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":311.7889,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":90.0401,"elapsed_within_tithi_degrees":6.0401},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2,"moon_longitude":311.7889,"elapsed_within_degrees":5.1222},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":173.5377},"karana":{"half_tithi_index":15,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.498,"elongation":90.04},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.498,"opposition_distance":89.96}},"eclipse_window_40days":[{"offset_days":8,"type":"lunar","occurs":true,"moon_latitude":0.729,"opposition_distance":0.776}]},"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":"05:39","sunsetLocal":"17:55","solarNoonLocal":"11:47","dayLengthHours":12.268721125817743,"dayLengthDisplay":"12 Hours 16 Mins 07 Secs","nightLengthDisplay":"11 Hours 43 Mins 53 Secs","moonriseLocal":"12:31","moonsetLocal":"23:03","rahuKala":{"name":"Rāhu Kāla","start":"08:43","end":"10:15","startHours":8.709819053014932,"endHours":10.243409193742151,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:19","end":"14:51","startHours":13.310589475196586,"endHours":14.844179615923805,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:39","end":"07:11","startHours":5.642638771560497,"endHours":7.176228912287715,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:30","end":"08:55","startHours":8.505340367584637,"endHours":8.914297738445228,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:09","end":"06:29","startHours":6.153835485136236,"endHours":6.48100138182471,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:22","end":"12:11","startHours":11.368041963608778,"endHours":12.18595670532996,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:00","end":"04:49","startHours":4.006809288118132,"endHours":4.824724029839314,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:37","end":"05:39","startHours":4.620245344409018,"endHours":5.642638771560497,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:49","end":"14:38","startHours":13.821786188772325,"endHours":14.639700930493508,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:43","end":"18:07","startHours":17.71135989737824,"endHours":18.11135989737824,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:55","end":"18:25","startHours":17.91135989737824,"endHours":18.42255661095398,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:40","end":"19:25","startHours":17.66135989737824,"endHours":19.41135989737824,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:22","end":"00:11","startHours":23.36804196360878,"endHours":24.18595670532996,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:39","end":"07:11","startHours":5.642638771560497,"endHours":7.176228912287715,"quality":"inauspicious"},{"name":"Śubha","start":"07:11","end":"08:43","startHours":7.176228912287715,"endHours":8.709819053014932,"quality":"auspicious"},{"name":"Roga","start":"08:43","end":"10:15","startHours":8.709819053014932,"endHours":10.243409193742151,"quality":"inauspicious"},{"name":"Udveg","start":"10:15","end":"11:47","startHours":10.243409193742151,"endHours":11.77699933446937,"quality":"inauspicious"},{"name":"Chala","start":"11:47","end":"13:19","startHours":11.77699933446937,"endHours":13.310589475196586,"quality":"neutral"},{"name":"Labha","start":"13:19","end":"14:51","startHours":13.310589475196586,"endHours":14.844179615923805,"quality":"auspicious"},{"name":"Amṛta","start":"14:51","end":"16:23","startHours":14.844179615923805,"endHours":16.37776975665102,"quality":"auspicious"},{"name":"Kāla","start":"16:23","end":"17:55","startHours":16.37776975665102,"endHours":17.91135989737824,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:55","end":"19:23","startHours":17.91135989737824,"endHours":19.377769756651023,"quality":"auspicious"},{"name":"Amṛta","start":"19:23","end":"20:51","startHours":19.377769756651023,"endHours":20.844179615923803,"quality":"auspicious"},{"name":"Kāla","start":"20:51","end":"22:19","startHours":20.844179615923803,"endHours":22.310589475196586,"quality":"inauspicious"},{"name":"Śubha","start":"22:19","end":"23:47","startHours":22.310589475196586,"endHours":23.77699933446937,"quality":"auspicious"},{"name":"Roga","start":"23:47","end":"01:15","startHours":23.77699933446937,"endHours":25.243409193742153,"quality":"inauspicious"},{"name":"Udveg","start":"01:15","end":"02:43","startHours":25.243409193742153,"endHours":26.709819053014932,"quality":"inauspicious"},{"name":"Chala","start":"02:43","end":"04:11","startHours":26.709819053014932,"endHours":28.176228912287716,"quality":"neutral"},{"name":"Labha","start":"04:11","end":"05:39","startHours":28.176228912287716,"endHours":29.6426387715605,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:39","end":"06:39","startHours":5.642638771560497,"endHours":6.642638771560497,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:39","end":"07:39","startHours":6.642638771560497,"endHours":7.642638771560497,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:39","end":"08:39","startHours":7.642638771560497,"endHours":8.642638771560497,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:39","end":"09:39","startHours":8.642638771560497,"endHours":9.642638771560497,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:39","end":"10:39","startHours":9.642638771560497,"endHours":10.642638771560497,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:39","end":"11:39","startHours":10.642638771560497,"endHours":11.642638771560497,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:39","end":"12:39","startHours":11.642638771560497,"endHours":12.642638771560497,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:39","end":"13:39","startHours":12.642638771560497,"endHours":13.642638771560497,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:39","end":"14:39","startHours":13.642638771560497,"endHours":14.642638771560497,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:39","end":"15:39","startHours":14.642638771560497,"endHours":15.642638771560497,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:39","end":"16:39","startHours":15.642638771560497,"endHours":16.6426387715605,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:39","end":"17:39","startHours":16.6426387715605,"endHours":17.6426387715605,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:39","end":"18:39","startHours":17.6426387715605,"endHours":18.6426387715605,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:39","end":"19:39","startHours":18.6426387715605,"endHours":19.6426387715605,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:39","end":"20:39","startHours":19.6426387715605,"endHours":20.6426387715605,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:39","end":"21:39","startHours":20.6426387715605,"endHours":21.6426387715605,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:39","end":"22:39","startHours":21.6426387715605,"endHours":22.6426387715605,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:39","end":"23:39","startHours":22.6426387715605,"endHours":23.6426387715605,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:39","end":"00:39","startHours":23.6426387715605,"endHours":24.6426387715605,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:39","end":"01:39","startHours":24.6426387715605,"endHours":25.6426387715605,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:39","end":"02:39","startHours":25.6426387715605,"endHours":26.6426387715605,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:39","end":"03:39","startHours":26.6426387715605,"endHours":27.6426387715605,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:39","end":"04:39","startHours":27.6426387715605,"endHours":28.6426387715605,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:39","end":"05:39","startHours":28.6426387715605,"endHours":29.6426387715605,"planetary_lord":"Mercury"}],"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","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"East","anandadiYoga":{"name":"Śubha","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":2.3086791288780435,"eotMinutes":11.484439931837855,"ayanamsa":-47.5618}},"calendars":{"vikram_samvat":-3056,"saka_samvat":-3191,"saka_samvatsara":"Prabhava","bengali_samvat":-3706,"malayalam_era":-3937,"nanakshahi_year":-4582,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Aṣṭamī · Vikram -3056 undefined · Śaka -3191 Prabhava"},"festivals":[],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 October 2, 3114 BCE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"October 2, 3114 BCE for Vārāṇasī (Kāśī): Śukla Aṣṭamī, sūryodaya 05:39, sūryāsta 17:55.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/-3113-10-02","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/-3113-10-02","sa":"https://sa.vidhyamitra.com/city/varanasi/-3113-10-02","hi":"https://hi.vidhyamitra.com/city/varanasi/-3113-10-02","x-default":"https://vidhyamitra.com/city/varanasi/-3113-10-02"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-12T00:00:53.086Z","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":"2026-08-12T00:00:53.086Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-12T00:00:53.086Z","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"}}}