{"id":"vidhyamitra:city-day:varanasi:-0468-07-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/-0468-07-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0468-07-13","date_display":"July 13, 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":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1550314.770833,"kali_year":2634,"ahargana":961849.2708,"sun":{"sidereal_longitude":119.5907,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":228.0926,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":108.5019,"elapsed_within_tithi_degrees":0.5019},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1,"moon_longitude":228.0926,"elapsed_within_degrees":1.4259},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":347.6833},"karana":{"half_tithi_index":18,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":7,"day":13,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1550314.770833,"ahargana":961849.2708,"kali_year":2634,"ayanamsa_lahiri":-10.6157,"grahas":{"sun":{"sidereal_longitude":119.5907,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":228.0926,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false,"latitude":-4.2669},"mars":{"sidereal_longitude":67.8123,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":114.0833,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":14.8492,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":162.306,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":130.1875,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":336.5969,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":156.5969,"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":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1550314.770833,"kali_year":2634,"ahargana":961849.2708,"sun":{"sidereal_longitude":119.5907,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":228.0926,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":108.5019,"elapsed_within_tithi_degrees":0.5019},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1,"moon_longitude":228.0926,"elapsed_within_degrees":1.4259},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":347.6833},"karana":{"half_tithi_index":18,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.267,"elongation":108.502},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.267,"opposition_distance":71.498}},"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":"05:15","sunsetLocal":"18:52","solarNoonLocal":"12:03","dayLengthHours":13.611552200967388,"dayLengthDisplay":"13 Hours 36 Mins 42 Secs","nightLengthDisplay":"10 Hours 23 Mins 18 Secs","moonriseLocal":"13:42","moonsetLocal":"00:53","rahuKala":{"name":"Rāhu Kāla","start":"10:21","end":"12:03","startHours":10.356319788981754,"endHours":12.057763814102678,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:28","end":"17:10","startHours":15.460651864344525,"endHours":17.162095889465448,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:57","end":"08:39","startHours":6.953431738739908,"endHours":8.654875763860831,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:26","end":"08:53","startHours":8.428016560511374,"endHours":8.881734967210289,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:49","end":"06:11","startHours":5.819135721992625,"endHours":6.182110447351755,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:36","end":"12:31","startHours":11.604045407403765,"endHours":12.511482220801591,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:26","end":"04:21","startHours":3.4371140868233323,"endHours":4.344550900221158,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:07","end":"05:15","startHours":4.1176916968717014,"endHours":5.251987713618984,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:20","end":"15:14","startHours":14.326355847597243,"endHours":15.23379266099507,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:40","end":"19:04","startHours":18.663539914586373,"endHours":19.06353991458637,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:52","end":"19:26","startHours":18.863539914586372,"endHours":19.430687922960015,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:37","end":"20:22","startHours":18.613539914586372,"endHours":20.363539914586372,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:36","end":"00:31","startHours":23.604045407403767,"endHours":24.51148222080159,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:15","end":"06:57","startHours":5.251987713618984,"endHours":6.953431738739908,"quality":"neutral"},{"name":"Labha","start":"06:57","end":"08:39","startHours":6.953431738739908,"endHours":8.654875763860831,"quality":"auspicious"},{"name":"Amṛta","start":"08:39","end":"10:21","startHours":8.654875763860831,"endHours":10.356319788981754,"quality":"auspicious"},{"name":"Kāla","start":"10:21","end":"12:03","startHours":10.356319788981754,"endHours":12.057763814102678,"quality":"inauspicious"},{"name":"Śubha","start":"12:03","end":"13:46","startHours":12.057763814102678,"endHours":13.759207839223603,"quality":"auspicious"},{"name":"Roga","start":"13:46","end":"15:28","startHours":13.759207839223603,"endHours":15.460651864344525,"quality":"inauspicious"},{"name":"Udveg","start":"15:28","end":"17:10","startHours":15.460651864344525,"endHours":17.162095889465448,"quality":"inauspicious"},{"name":"Chala","start":"17:10","end":"18:52","startHours":17.162095889465448,"endHours":18.863539914586372,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:52","end":"20:10","startHours":18.863539914586372,"endHours":20.162095889465448,"quality":"inauspicious"},{"name":"Udveg","start":"20:10","end":"21:28","startHours":20.162095889465448,"endHours":21.460651864344527,"quality":"inauspicious"},{"name":"Chala","start":"21:28","end":"22:46","startHours":21.460651864344527,"endHours":22.759207839223603,"quality":"neutral"},{"name":"Labha","start":"22:46","end":"00:03","startHours":22.759207839223603,"endHours":24.057763814102678,"quality":"auspicious"},{"name":"Amṛta","start":"00:03","end":"01:21","startHours":24.057763814102678,"endHours":25.356319788981754,"quality":"auspicious"},{"name":"Kāla","start":"01:21","end":"02:39","startHours":25.356319788981754,"endHours":26.65487576386083,"quality":"inauspicious"},{"name":"Śubha","start":"02:39","end":"03:57","startHours":26.65487576386083,"endHours":27.95343173873991,"quality":"auspicious"},{"name":"Roga","start":"03:57","end":"05:15","startHours":27.95343173873991,"endHours":29.251987713618984,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:15","end":"06:15","startHours":5.251987713618984,"endHours":6.251987713618984,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:15","end":"07:15","startHours":6.251987713618984,"endHours":7.251987713618984,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:15","end":"08:15","startHours":7.251987713618984,"endHours":8.251987713618984,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:15","end":"09:15","startHours":8.251987713618984,"endHours":9.251987713618984,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:15","end":"10:15","startHours":9.251987713618984,"endHours":10.251987713618984,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:15","end":"11:15","startHours":10.251987713618984,"endHours":11.251987713618984,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:15","end":"12:15","startHours":11.251987713618984,"endHours":12.251987713618984,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:15","end":"13:15","startHours":12.251987713618984,"endHours":13.251987713618984,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:15","end":"14:15","startHours":13.251987713618984,"endHours":14.251987713618984,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:15","end":"15:15","startHours":14.251987713618984,"endHours":15.251987713618984,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:15","end":"16:15","startHours":15.251987713618984,"endHours":16.251987713618984,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:15","end":"17:15","startHours":16.251987713618984,"endHours":17.251987713618984,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:15","end":"18:15","startHours":17.251987713618984,"endHours":18.251987713618984,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:15","end":"19:15","startHours":18.251987713618984,"endHours":19.251987713618984,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:15","end":"20:15","startHours":19.251987713618984,"endHours":20.251987713618984,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:15","end":"21:15","startHours":20.251987713618984,"endHours":21.251987713618984,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:15","end":"22:15","startHours":21.251987713618984,"endHours":22.251987713618984,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:15","end":"23:15","startHours":22.251987713618984,"endHours":23.251987713618984,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:15","end":"00:15","startHours":23.251987713618984,"endHours":24.251987713618984,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:15","end":"01:15","startHours":24.251987713618984,"endHours":25.251987713618984,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:15","end":"02:15","startHours":25.251987713618984,"endHours":26.251987713618984,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:15","end":"03:15","startHours":26.251987713618984,"endHours":27.251987713618984,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:15","end":"04:15","startHours":27.251987713618984,"endHours":28.251987713618984,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:15","end":"05:15","startHours":28.251987713618984,"endHours":29.251987713618984,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"North-East","rahuVasa":"South-East","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"tropicalRitu":"Grīṣma (Summer)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":22.093546081495216,"eotMinutes":-5.361428846160681,"ayanamsa":-10.6157}},"calendars":{"vikram_samvat":-411,"saka_samvat":-546,"bengali_samvat":-1061,"malayalam_era":-1292,"nanakshahi_year":-1937,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Daśamī · Vikram -411 undefined · Śaka -546 undefined"},"festivals":[{"id":"simha-sankranti","name":"Siṁha Saṅkrānti","name_sanskrit":"सिंह सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Leo.","vrata":false,"detection":{"sun_rashi_ingress":"Siṃha"},"precedence":5}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Dedicated festival walk for Siṁha Saṅkrānti is not live yet; Śukravāra (Friday) — 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 July 13, 469 BCE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"July 13, 469 BCE for Vārāṇasī (Kāśī): Śukla Daśamī, sūryodaya 05:15, sūryāsta 18:52.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/-0468-07-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/-0468-07-13","sa":"https://sa.vidhyamitra.com/city/varanasi/-0468-07-13","hi":"https://hi.vidhyamitra.com/city/varanasi/-0468-07-13","x-default":"https://vidhyamitra.com/city/varanasi/-0468-07-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-08T03:59:36.641Z","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":"2026-09-08T03:59:36.641Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-08T03:59:36.641Z","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"}}}