{"id":"vidhyamitra:city-day:varanasi:-0468-04-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/-0468-04-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0468-04-16","date_display":"April 16, 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":4,"day":16,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1550226.770833,"kali_year":2634,"ahargana":961761.2708,"sun":{"sidereal_longitude":36.016,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":148.0621,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":112.0461,"elapsed_within_tithi_degrees":4.0461},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1,"moon_longitude":148.0621,"elapsed_within_degrees":1.3954},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":184.0781},"karana":{"half_tithi_index":18,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":4,"day":16,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1550226.770833,"ahargana":961761.2708,"kali_year":2634,"ayanamsa_lahiri":-10.619,"grahas":{"sun":{"sidereal_longitude":36.016,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":148.0621,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false,"latitude":1.0264},"mars":{"sidereal_longitude":1.5397,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":11.3751,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":3.4155,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":54.8709,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":121.4619,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":341.2596,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":161.2596,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"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":4,"day":16,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1550226.770833,"kali_year":2634,"ahargana":961761.2708,"sun":{"sidereal_longitude":36.016,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":148.0621,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":112.0461,"elapsed_within_tithi_degrees":4.0461},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1,"moon_longitude":148.0621,"elapsed_within_degrees":1.3954},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":184.0781},"karana":{"half_tithi_index":18,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.026,"elongation":112.046},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.026,"opposition_distance":67.954}},"eclipse_window_40days":[]},"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":"05:36","sunsetLocal":"18:21","solarNoonLocal":"11:58","dayLengthHours":12.751561435298079,"dayLengthDisplay":"12 Hours 45 Mins 06 Secs","nightLengthDisplay":"11 Hours 14 Mins 54 Secs","moonriseLocal":"12:53","moonsetLocal":"01:59","rahuKala":{"name":"Rāhu Kāla","start":"07:11","end":"08:47","startHours":7.18631627648658,"endHours":8.78026145589884,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:22","end":"11:58","startHours":10.3742066353111,"endHours":11.96815181472336,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:34","end":"15:09","startHours":13.562096994135619,"endHours":15.15604217354788,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:34","end":"09:00","startHours":8.567735431977205,"endHours":8.992787479820475,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:07","end":"06:28","startHours":6.1236861568784065,"endHours":6.463727795153022,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:33","end":"12:24","startHours":11.54309976688009,"endHours":12.39320386256663,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:54","end":"04:45","startHours":3.892162905701243,"endHours":4.7422670013877815,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:32","end":"05:36","startHours":4.5297409774661475,"endHours":5.59237109707432,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:06","end":"14:57","startHours":14.093412053939705,"endHours":14.943516149626243,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:09","end":"18:33","startHours":18.1439325323724,"endHours":18.5439325323724,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:21","end":"18:53","startHours":18.3439325323724,"endHours":18.875247592176486,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:06","end":"19:51","startHours":18.0939325323724,"endHours":19.8439325323724,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:33","end":"00:24","startHours":23.54309976688009,"endHours":24.39320386256663,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:36","end":"07:11","startHours":5.59237109707432,"endHours":7.18631627648658,"quality":"auspicious"},{"name":"Kāla","start":"07:11","end":"08:47","startHours":7.18631627648658,"endHours":8.78026145589884,"quality":"inauspicious"},{"name":"Śubha","start":"08:47","end":"10:22","startHours":8.78026145589884,"endHours":10.3742066353111,"quality":"auspicious"},{"name":"Roga","start":"10:22","end":"11:58","startHours":10.3742066353111,"endHours":11.96815181472336,"quality":"inauspicious"},{"name":"Udveg","start":"11:58","end":"13:34","startHours":11.96815181472336,"endHours":13.562096994135619,"quality":"inauspicious"},{"name":"Chala","start":"13:34","end":"15:09","startHours":13.562096994135619,"endHours":15.15604217354788,"quality":"neutral"},{"name":"Labha","start":"15:09","end":"16:45","startHours":15.15604217354788,"endHours":16.74998735296014,"quality":"auspicious"},{"name":"Amṛta","start":"16:45","end":"18:21","startHours":16.74998735296014,"endHours":18.3439325323724,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:21","end":"19:45","startHours":18.3439325323724,"endHours":19.74998735296014,"quality":"neutral"},{"name":"Labha","start":"19:45","end":"21:09","startHours":19.74998735296014,"endHours":21.15604217354788,"quality":"auspicious"},{"name":"Amṛta","start":"21:09","end":"22:34","startHours":21.15604217354788,"endHours":22.56209699413562,"quality":"auspicious"},{"name":"Kāla","start":"22:34","end":"23:58","startHours":22.56209699413562,"endHours":23.96815181472336,"quality":"inauspicious"},{"name":"Śubha","start":"23:58","end":"01:22","startHours":23.96815181472336,"endHours":25.3742066353111,"quality":"auspicious"},{"name":"Roga","start":"01:22","end":"02:47","startHours":25.3742066353111,"endHours":26.780261455898838,"quality":"inauspicious"},{"name":"Udveg","start":"02:47","end":"04:11","startHours":26.780261455898838,"endHours":28.18631627648658,"quality":"inauspicious"},{"name":"Chala","start":"04:11","end":"05:36","startHours":28.18631627648658,"endHours":29.59237109707432,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:36","end":"06:36","startHours":5.59237109707432,"endHours":6.59237109707432,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:36","end":"07:36","startHours":6.59237109707432,"endHours":7.59237109707432,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:36","end":"08:36","startHours":7.59237109707432,"endHours":8.59237109707432,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:36","end":"09:36","startHours":8.59237109707432,"endHours":9.59237109707432,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:36","end":"10:36","startHours":9.59237109707432,"endHours":10.59237109707432,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:36","end":"11:36","startHours":10.59237109707432,"endHours":11.59237109707432,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:36","end":"12:36","startHours":11.59237109707432,"endHours":12.59237109707432,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:36","end":"13:36","startHours":12.59237109707432,"endHours":13.59237109707432,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:36","end":"14:36","startHours":13.59237109707432,"endHours":14.59237109707432,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:36","end":"15:36","startHours":14.59237109707432,"endHours":15.59237109707432,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:36","end":"16:36","startHours":15.59237109707432,"endHours":16.59237109707432,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:36","end":"17:36","startHours":16.59237109707432,"endHours":17.59237109707432,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:36","end":"18:36","startHours":17.59237109707432,"endHours":18.59237109707432,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:36","end":"19:36","startHours":18.59237109707432,"endHours":19.59237109707432,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:36","end":"20:36","startHours":19.59237109707432,"endHours":20.59237109707432,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:36","end":"21:36","startHours":20.59237109707432,"endHours":21.59237109707432,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:36","end":"22:36","startHours":21.59237109707432,"endHours":22.59237109707432,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:36","end":"23:36","startHours":22.59237109707432,"endHours":23.59237109707432,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:36","end":"00:36","startHours":23.59237109707432,"endHours":24.59237109707432,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:36","end":"01:36","startHours":24.59237109707432,"endHours":25.59237109707432,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:36","end":"02:36","startHours":25.59237109707432,"endHours":26.59237109707432,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:36","end":"03:36","startHours":26.59237109707432,"endHours":27.59237109707432,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:36","end":"04:36","startHours":27.59237109707432,"endHours":28.59237109707432,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:36","end":"05:36","startHours":28.59237109707432,"endHours":29.59237109707432,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","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":"East (Pūrva)","chandraVasa":"West","rahuVasa":"North-East","anandadiYoga":{"name":"Utpāta","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":9.821695177199452,"eotMinutes":0.015291116598477705,"ayanamsa":-10.619}},"calendars":{"vikram_samvat":-411,"saka_samvat":-546,"bengali_samvat":-1061,"malayalam_era":-1292,"nanakshahi_year":-1937,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","lunar_month_amanta":"Jyeṣṭha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Śukla Daśamī · Vikram -411 undefined · Śaka -546 undefined"},"festivals":[{"id":"ganga-dussehra","name":"Gaṅgā Daśaharā","name_sanskrit":"गङ्गा दशहरा","tradition":"Pan-Hindu","associated_deity":"Devī Gaṅgā","significance":"Devī Gaṅgā's descent to earth (Bhagīratha's success). Dasha-pāpa-haraṇī.","vrata":true,"detection":{"tithi_number":10,"tithi_paksha":"Śukla","lunar_month":"Jyeṣṭha"},"precedence":2,"sources":["Vālmīki Rāmāyaṇa, Bāla-Kāṇḍa 42-44"]}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7, 6.34-35.","step_count":5,"url":"/walk/chandra-walk","steps":[{"label":"BG 6.5","url":"/bhagavad-gita/6/5","purpose":"Lift the self by the Self; begin the walk with inner responsibility."},{"label":"BG 6.6","url":"/bhagavad-gita/6/6","purpose":"See the mind as friend when mastered and enemy when unmastered."},{"label":"BG 6.7","url":"/bhagavad-gita/6/7","purpose":"Stabilize the conquered mind in heat/cold, honor/dishonor, pleasure/pain."},{"label":"BG 6.34","url":"/bhagavad-gita/6/34","purpose":"Name the restless mind honestly before trying to discipline it."},{"label":"BG 6.35","url":"/bhagavad-gita/6/35","purpose":"Complete with abhyāsa and vairāgya: practice and detachment."}]},"reason":"Dedicated festival walk for Gaṅgā Daśaharā is not live yet; Somavāra (Monday) — 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 April 16, 469 BCE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"April 16, 469 BCE for Vārāṇasī (Kāśī): Śukla Daśamī, sūryodaya 05:36, sūryāsta 18:21.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/-0468-04-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/-0468-04-16","sa":"https://sa.vidhyamitra.com/city/varanasi/-0468-04-16","hi":"https://hi.vidhyamitra.com/city/varanasi/-0468-04-16","x-default":"https://vidhyamitra.com/city/varanasi/-0468-04-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T14:27:15.031Z","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":"2026-08-10T14:27:15.031Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T14:27:15.031Z","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"}}}