{"id":"vidhyamitra:city-day:varanasi:-0468-09-02:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/-0468-09-02","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0468-09-02","date_display":"September 2, 469 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":-468,"month":9,"day":2,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1550365.770833,"kali_year":2634,"ahargana":961900.2708,"sun":{"sidereal_longitude":169.092,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":181.5108,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":12.4188,"elapsed_within_tithi_degrees":0.4188},"nakshatra":{"number":14,"name":"Citrā","pada":3,"moon_longitude":181.5108,"elapsed_within_degrees":8.1774},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":350.6027},"karana":{"half_tithi_index":2,"name":"Bālava"},"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":-468,"month":9,"day":2,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1550365.770833,"ahargana":961900.2708,"kali_year":2634,"ayanamsa_lahiri":-10.6137,"grahas":{"sun":{"sidereal_longitude":169.092,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"moon":{"sidereal_longitude":181.5108,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false,"latitude":-2.0843},"mars":{"sidereal_longitude":103.0095,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":171.4863,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":12.2602,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":true},"venus":{"sidereal_longitude":218.0346,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":136.7962,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":333.8947,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":153.8947,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","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":-468,"month":9,"day":2,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1550365.770833,"kali_year":2634,"ahargana":961900.2708,"sun":{"sidereal_longitude":169.092,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":181.5108,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":12.4188,"elapsed_within_tithi_degrees":0.4188},"nakshatra":{"number":14,"name":"Citrā","pada":3,"moon_longitude":181.5108,"elapsed_within_degrees":8.1774},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":350.6027},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.084,"elongation":12.419},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.084,"opposition_distance":167.581}},"eclipse_window_40days":[{"offset_days":-15,"type":"lunar","occurs":true,"moon_latitude":0.088,"opposition_distance":1.448},{"offset_days":-1,"type":"solar","occurs":true,"moon_latitude":-1.041,"elongation":0.774}]},"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":"05:38","sunsetLocal":"18:17","solarNoonLocal":"11:57","dayLengthHours":12.658030315933265,"dayLengthDisplay":"12 Hours 39 Mins 29 Secs","nightLengthDisplay":"11 Hours 20 Mins 31 Secs","moonriseLocal":"06:38","moonsetLocal":"18:56","rahuKala":{"name":"Rāhu Kāla","start":"16:42","end":"18:17","startHours":16.701638661899757,"endHours":18.283892451391417,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:57","end":"13:32","startHours":11.954877293424783,"endHours":13.537131082916442,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:07","end":"16:42","startHours":15.1193848724081,"endHours":16.701638661899757,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:35","end":"09:00","startHours":8.579402542509246,"endHours":9.00133688637369,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:09","end":"06:29","startHours":6.153280065288704,"endHours":6.490827540380257,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:32","end":"12:23","startHours":11.53294294956034,"endHours":12.376811637289226,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:56","end":"04:47","startHours":3.9381247600003824,"endHours":4.781993447729267,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:34","end":"05:38","startHours":4.5710262757970455,"endHours":5.625862135458151,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:04","end":"14:55","startHours":14.064549012746994,"endHours":14.908417700475878,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:05","end":"18:29","startHours":18.083892451391417,"endHours":18.483892451391416,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:17","end":"18:49","startHours":18.283892451391417,"endHours":18.81131038122197,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:02","end":"19:47","startHours":18.033892451391417,"endHours":19.783892451391417,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:32","end":"00:23","startHours":23.53294294956034,"endHours":24.376811637289226,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:38","end":"07:12","startHours":5.625862135458151,"endHours":7.2081159249498095,"quality":"inauspicious"},{"name":"Chala","start":"07:12","end":"08:47","startHours":7.2081159249498095,"endHours":8.790369714441468,"quality":"neutral"},{"name":"Labha","start":"08:47","end":"10:22","startHours":8.790369714441468,"endHours":10.372623503933125,"quality":"auspicious"},{"name":"Amṛta","start":"10:22","end":"11:57","startHours":10.372623503933125,"endHours":11.954877293424783,"quality":"auspicious"},{"name":"Kāla","start":"11:57","end":"13:32","startHours":11.954877293424783,"endHours":13.537131082916442,"quality":"inauspicious"},{"name":"Śubha","start":"13:32","end":"15:07","startHours":13.537131082916442,"endHours":15.1193848724081,"quality":"auspicious"},{"name":"Roga","start":"15:07","end":"16:42","startHours":15.1193848724081,"endHours":16.701638661899757,"quality":"inauspicious"},{"name":"Udveg","start":"16:42","end":"18:17","startHours":16.701638661899757,"endHours":18.283892451391417,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:17","end":"19:42","startHours":18.283892451391417,"endHours":19.701638661899757,"quality":"auspicious"},{"name":"Roga","start":"19:42","end":"21:07","startHours":19.701638661899757,"endHours":21.1193848724081,"quality":"inauspicious"},{"name":"Udveg","start":"21:07","end":"22:32","startHours":21.1193848724081,"endHours":22.537131082916442,"quality":"inauspicious"},{"name":"Chala","start":"22:32","end":"23:57","startHours":22.537131082916442,"endHours":23.954877293424783,"quality":"neutral"},{"name":"Labha","start":"23:57","end":"01:22","startHours":23.954877293424783,"endHours":25.372623503933127,"quality":"auspicious"},{"name":"Amṛta","start":"01:22","end":"02:47","startHours":25.372623503933127,"endHours":26.790369714441468,"quality":"auspicious"},{"name":"Kāla","start":"02:47","end":"04:12","startHours":26.790369714441468,"endHours":28.20811592494981,"quality":"inauspicious"},{"name":"Śubha","start":"04:12","end":"05:38","startHours":28.20811592494981,"endHours":29.62586213545815,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:38","end":"06:38","startHours":5.625862135458151,"endHours":6.625862135458151,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:38","end":"07:38","startHours":6.625862135458151,"endHours":7.625862135458151,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:38","end":"08:38","startHours":7.625862135458151,"endHours":8.625862135458151,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:38","end":"09:38","startHours":8.625862135458151,"endHours":9.625862135458151,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:38","end":"10:38","startHours":9.625862135458151,"endHours":10.625862135458151,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:38","end":"11:38","startHours":10.625862135458151,"endHours":11.625862135458151,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:38","end":"12:38","startHours":11.625862135458151,"endHours":12.625862135458151,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:38","end":"13:38","startHours":12.625862135458151,"endHours":13.625862135458151,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:38","end":"14:38","startHours":13.625862135458151,"endHours":14.625862135458151,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:38","end":"15:38","startHours":14.625862135458151,"endHours":15.625862135458151,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:38","end":"16:38","startHours":15.625862135458151,"endHours":16.62586213545815,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:38","end":"17:38","startHours":16.62586213545815,"endHours":17.62586213545815,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:38","end":"18:38","startHours":17.62586213545815,"endHours":18.62586213545815,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:38","end":"19:38","startHours":18.62586213545815,"endHours":19.62586213545815,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:38","end":"20:38","startHours":19.62586213545815,"endHours":20.62586213545815,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:38","end":"21:38","startHours":20.62586213545815,"endHours":21.62586213545815,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:38","end":"22:38","startHours":21.62586213545815,"endHours":22.62586213545815,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:38","end":"23:38","startHours":22.62586213545815,"endHours":23.62586213545815,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:38","end":"00:38","startHours":23.62586213545815,"endHours":24.62586213545815,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:38","end":"01:38","startHours":24.62586213545815,"endHours":25.62586213545815,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:38","end":"02:38","startHours":25.62586213545815,"endHours":26.62586213545815,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:38","end":"03:38","startHours":26.62586213545815,"endHours":27.62586213545815,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:38","end":"04:38","startHours":27.62586213545815,"endHours":28.62586213545815,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:38","end":"05:38","startHours":28.62586213545815,"endHours":29.62586213545815,"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)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":8.389954414571505,"eotMinutes":0.8117623945129984,"ayanamsa":-10.6137}},"calendars":{"vikram_samvat":-411,"saka_samvat":-546,"bengali_samvat":-1061,"malayalam_era":-1292,"nanakshahi_year":-1937,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla 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 Śukla Dvitīyā · Vikram -411 undefined · Śaka -546 undefined"},"festivals":[],"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":"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, 469 BCE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"September 2, 469 BCE for Vārāṇasī (Kāśī): Śukla Dvitīyā, sūryodaya 05:38, sūryāsta 18:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/-0468-09-02","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/-0468-09-02","sa":"https://sa.vidhyamitra.com/city/varanasi/-0468-09-02","hi":"https://hi.vidhyamitra.com/city/varanasi/-0468-09-02","x-default":"https://vidhyamitra.com/city/varanasi/-0468-09-02"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-11T17:15:22.592Z","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":"2026-09-11T17:15:22.592Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-11T17:15:22.592Z","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"}}}