{"id":"vidhyamitra:city-day:varanasi:-3165-04-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/-3165-04-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3165-04-13","date_display":"April 13, 3166 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":-3165,"month":4,"day":13,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565143.770833,"kali_year":-63,"ahargana":-23321.7292,"sun":{"sidereal_longitude":54.9322,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":141.5768,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":86.6446,"elapsed_within_tithi_degrees":2.6446},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3,"moon_longitude":141.5768,"elapsed_within_degrees":8.2435},"yoga":{"number":15,"name":"Vajra","sum_longitude":196.509},"karana":{"half_tithi_index":14,"name":"Viṣṭi"},"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":-3165,"month":4,"day":13,"hour":6,"minute":30,"calendar":"julian"},"julian_day":565143.770833,"ahargana":-23321.7292,"kali_year":-63,"ayanamsa_lahiri":-48.2948,"grahas":{"sun":{"sidereal_longitude":54.9322,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":141.5768,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false,"latitude":1.0968},"mars":{"sidereal_longitude":39.7963,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":33.7178,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":213.2686,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":63.2369,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":297.4157,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":335.6974,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":155.6974,"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":-3165,"month":4,"day":13,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565143.770833,"kali_year":-63,"ahargana":-23321.7292,"sun":{"sidereal_longitude":54.9322,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":141.5768,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":86.6446,"elapsed_within_tithi_degrees":2.6446},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3,"moon_longitude":141.5768,"elapsed_within_degrees":8.2435},"yoga":{"number":15,"name":"Vajra","sum_longitude":196.509},"karana":{"half_tithi_index":14,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.097,"elongation":86.645},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.097,"opposition_distance":93.355}},"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":"05:50","sunsetLocal":"18:08","solarNoonLocal":"11:59","dayLengthHours":12.289382784046227,"dayLengthDisplay":"12 Hours 17 Mins 22 Secs","nightLengthDisplay":"11 Hours 42 Mins 38 Secs","moonriseLocal":"10:55","moonsetLocal":"00:36","rahuKala":{"name":"Rāhu Kāla","start":"16:35","end":"18:08","startHours":16.589755391179075,"endHours":18.12592823918485,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:59","end":"13:31","startHours":11.981236847161739,"endHours":13.517409695167515,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:03","end":"16:35","startHours":15.053582543173295,"endHours":16.589755391179075,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:42","end":"09:07","startHours":8.70406810474941,"endHours":9.113714197550951,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:21","end":"06:41","startHours":6.348603071140551,"endHours":6.676319945381784,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:34","end":"12:23","startHours":11.571590754360198,"endHours":12.39088293996328,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:12","end":"05:01","startHours":4.197961083932461,"endHours":5.0172532695355425,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:49","end":"05:50","startHours":4.812430223134772,"endHours":5.836545455138625,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:02","end":"14:51","startHours":14.029467311169443,"endHours":14.848759496772525,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:56","end":"18:20","startHours":17.925928239184852,"endHours":18.32592823918485,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:08","end":"18:38","startHours":18.12592823918485,"endHours":18.637985855186777,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:53","end":"19:38","startHours":17.87592823918485,"endHours":19.62592823918485,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:34","end":"00:23","startHours":23.571590754360198,"endHours":24.39088293996328,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:50","end":"07:22","startHours":5.836545455138625,"endHours":7.372718303144403,"quality":"inauspicious"},{"name":"Chala","start":"07:22","end":"08:55","startHours":7.372718303144403,"endHours":8.908891151150181,"quality":"neutral"},{"name":"Labha","start":"08:55","end":"10:27","startHours":8.908891151150181,"endHours":10.445063999155959,"quality":"auspicious"},{"name":"Amṛta","start":"10:27","end":"11:59","startHours":10.445063999155959,"endHours":11.981236847161739,"quality":"auspicious"},{"name":"Kāla","start":"11:59","end":"13:31","startHours":11.981236847161739,"endHours":13.517409695167515,"quality":"inauspicious"},{"name":"Śubha","start":"13:31","end":"15:03","startHours":13.517409695167515,"endHours":15.053582543173295,"quality":"auspicious"},{"name":"Roga","start":"15:03","end":"16:35","startHours":15.053582543173295,"endHours":16.589755391179075,"quality":"inauspicious"},{"name":"Udveg","start":"16:35","end":"18:08","startHours":16.589755391179075,"endHours":18.12592823918485,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:08","end":"19:35","startHours":18.12592823918485,"endHours":19.58975539117907,"quality":"auspicious"},{"name":"Roga","start":"19:35","end":"21:03","startHours":19.58975539117907,"endHours":21.053582543173295,"quality":"inauspicious"},{"name":"Udveg","start":"21:03","end":"22:31","startHours":21.053582543173295,"endHours":22.517409695167515,"quality":"inauspicious"},{"name":"Chala","start":"22:31","end":"23:59","startHours":22.517409695167515,"endHours":23.98123684716174,"quality":"neutral"},{"name":"Labha","start":"23:59","end":"01:27","startHours":23.98123684716174,"endHours":25.44506399915596,"quality":"auspicious"},{"name":"Amṛta","start":"01:27","end":"02:55","startHours":25.44506399915596,"endHours":26.90889115115018,"quality":"auspicious"},{"name":"Kāla","start":"02:55","end":"04:22","startHours":26.90889115115018,"endHours":28.372718303144403,"quality":"inauspicious"},{"name":"Śubha","start":"04:22","end":"05:50","startHours":28.372718303144403,"endHours":29.836545455138626,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:50","end":"06:50","startHours":5.836545455138625,"endHours":6.836545455138625,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:50","end":"07:50","startHours":6.836545455138625,"endHours":7.836545455138625,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:50","end":"08:50","startHours":7.836545455138625,"endHours":8.836545455138625,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:50","end":"09:50","startHours":8.836545455138625,"endHours":9.836545455138625,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:50","end":"10:50","startHours":9.836545455138625,"endHours":10.836545455138625,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:50","end":"11:50","startHours":10.836545455138625,"endHours":11.836545455138625,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:50","end":"12:50","startHours":11.836545455138625,"endHours":12.836545455138625,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:50","end":"13:50","startHours":12.836545455138625,"endHours":13.836545455138625,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:50","end":"14:50","startHours":13.836545455138625,"endHours":14.836545455138625,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:50","end":"15:50","startHours":14.836545455138625,"endHours":15.836545455138625,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:50","end":"16:50","startHours":15.836545455138625,"endHours":16.836545455138626,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:50","end":"17:50","startHours":16.836545455138626,"endHours":17.836545455138626,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:50","end":"18:50","startHours":17.836545455138626,"endHours":18.836545455138626,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:50","end":"19:50","startHours":18.836545455138626,"endHours":19.836545455138626,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:50","end":"20:50","startHours":19.836545455138626,"endHours":20.836545455138626,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:50","end":"21:50","startHours":20.836545455138626,"endHours":21.836545455138626,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:50","end":"22:50","startHours":21.836545455138626,"endHours":22.836545455138626,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:50","end":"23:50","startHours":22.836545455138626,"endHours":23.836545455138626,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:50","end":"00:50","startHours":23.836545455138626,"endHours":24.836545455138626,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:50","end":"01:50","startHours":24.836545455138626,"endHours":25.836545455138626,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:50","end":"02:50","startHours":25.836545455138626,"endHours":26.836545455138626,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:50","end":"03:50","startHours":26.836545455138626,"endHours":27.836545455138626,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:50","end":"04:50","startHours":27.836545455138626,"endHours":28.836545455138626,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:50","end":"05:50","startHours":28.836545455138626,"endHours":29.836545455138626,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","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":"West (Paścim)","chandraVasa":"West","rahuVasa":"North-East","anandadiYoga":{"name":"Chatra","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":2.634937510635472,"eotMinutes":-0.7698108297043191,"ayanamsa":-48.2948}},"calendars":{"vikram_samvat":-3108,"saka_samvat":-3243,"bengali_samvat":-3758,"malayalam_era":-3989,"nanakshahi_year":-4634,"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 Aṣṭamī · Vikram -3108 undefined · Śaka -3243 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 April 13, 3166 BCE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"April 13, 3166 BCE for Vārāṇasī (Kāśī): Śukla Aṣṭamī, sūryodaya 05:50, sūryāsta 18:08.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/-3165-04-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/-3165-04-13","sa":"https://sa.vidhyamitra.com/city/varanasi/-3165-04-13","hi":"https://hi.vidhyamitra.com/city/varanasi/-3165-04-13","x-default":"https://vidhyamitra.com/city/varanasi/-3165-04-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-12T00:33:28.208Z","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":"2026-08-12T00:33:28.208Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-12T00:33:28.208Z","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"}}}