{"id":"vidhyamitra:city-day:varanasi:-3164-09-24:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/-3164-09-24","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3164-09-24","date_display":"September 24, 3165 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":-3164,"month":9,"day":24,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565673.770833,"kali_year":-62,"ahargana":-22791.7292,"sun":{"sidereal_longitude":214.8199,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":290.5857,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":75.7658,"elapsed_within_tithi_degrees":3.7658},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4,"moon_longitude":290.5857,"elapsed_within_degrees":10.5857},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":145.4055},"karana":{"half_tithi_index":12,"name":"Gara"},"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":-3164,"month":9,"day":24,"hour":6,"minute":30,"calendar":"julian"},"julian_day":565673.770833,"ahargana":-22791.7292,"kali_year":-62,"ayanamsa_lahiri":-48.2745,"grahas":{"sun":{"sidereal_longitude":214.8199,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":290.5857,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false,"latitude":-1.3167},"mars":{"sidereal_longitude":263.3096,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":237.3519,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":254.1696,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":210.5971,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":302.6926,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":307.6155,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":127.6155,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":-3164,"month":9,"day":24,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565673.770833,"kali_year":-62,"ahargana":-22791.7292,"sun":{"sidereal_longitude":214.8199,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":290.5857,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":75.7658,"elapsed_within_tithi_degrees":3.7658},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4,"moon_longitude":290.5857,"elapsed_within_degrees":10.5857},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":145.4055},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.317,"elongation":75.766},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.317,"opposition_distance":104.234}},"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":"18:03","solarNoonLocal":"11:49","dayLengthHours":12.459561201700069,"dayLengthDisplay":"12 Hours 27 Mins 34 Secs","nightLengthDisplay":"11 Hours 32 Mins 26 Secs","moonriseLocal":"11:31","moonsetLocal":"22:14","rahuKala":{"name":"Rāhu Kāla","start":"10:16","end":"11:49","startHours":10.26440967655785,"endHours":11.821854826770359,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:56","end":"16:30","startHours":14.936745127195376,"endHours":16.494190277407885,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:09","end":"08:42","startHours":7.149519376132834,"endHours":8.706964526345342,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:30","end":"08:55","startHours":8.499305172983675,"endHours":8.91462387970701,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:07","end":"06:27","startHours":6.111222609324495,"endHours":6.443477574703163,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:24","end":"12:14","startHours":11.406536120047024,"endHours":12.237173533493694,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:56","end":"04:46","startHours":3.9307993990269825,"endHours":4.761436812473654,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:33","end":"05:36","startHours":4.553777459111986,"endHours":5.592074225920325,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:54","end":"14:44","startHours":13.89844836038704,"endHours":14.729085773833711,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:51","end":"18:15","startHours":17.851635427620394,"endHours":18.251635427620393,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:03","end":"18:34","startHours":18.051635427620393,"endHours":18.57078381102456,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:48","end":"19:33","startHours":17.801635427620393,"endHours":19.551635427620393,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:24","end":"00:14","startHours":23.406536120047022,"endHours":24.237173533493696,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:36","end":"07:09","startHours":5.592074225920325,"endHours":7.149519376132834,"quality":"neutral"},{"name":"Labha","start":"07:09","end":"08:42","startHours":7.149519376132834,"endHours":8.706964526345342,"quality":"auspicious"},{"name":"Amṛta","start":"08:42","end":"10:16","startHours":8.706964526345342,"endHours":10.26440967655785,"quality":"auspicious"},{"name":"Kāla","start":"10:16","end":"11:49","startHours":10.26440967655785,"endHours":11.821854826770359,"quality":"inauspicious"},{"name":"Śubha","start":"11:49","end":"13:23","startHours":11.821854826770359,"endHours":13.379299976982868,"quality":"auspicious"},{"name":"Roga","start":"13:23","end":"14:56","startHours":13.379299976982868,"endHours":14.936745127195376,"quality":"inauspicious"},{"name":"Udveg","start":"14:56","end":"16:30","startHours":14.936745127195376,"endHours":16.494190277407885,"quality":"inauspicious"},{"name":"Chala","start":"16:30","end":"18:03","startHours":16.494190277407885,"endHours":18.051635427620393,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:03","end":"19:30","startHours":18.051635427620393,"endHours":19.494190277407885,"quality":"inauspicious"},{"name":"Udveg","start":"19:30","end":"20:56","startHours":19.494190277407885,"endHours":20.936745127195376,"quality":"inauspicious"},{"name":"Chala","start":"20:56","end":"22:23","startHours":20.936745127195376,"endHours":22.379299976982868,"quality":"neutral"},{"name":"Labha","start":"22:23","end":"23:49","startHours":22.379299976982868,"endHours":23.82185482677036,"quality":"auspicious"},{"name":"Amṛta","start":"23:49","end":"01:16","startHours":23.82185482677036,"endHours":25.26440967655785,"quality":"auspicious"},{"name":"Kāla","start":"01:16","end":"02:42","startHours":25.26440967655785,"endHours":26.70696452634534,"quality":"inauspicious"},{"name":"Śubha","start":"02:42","end":"04:09","startHours":26.70696452634534,"endHours":28.149519376132833,"quality":"auspicious"},{"name":"Roga","start":"04:09","end":"05:36","startHours":28.149519376132833,"endHours":29.592074225920324,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:36","end":"06:36","startHours":5.592074225920325,"endHours":6.592074225920325,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:36","end":"07:36","startHours":6.592074225920325,"endHours":7.592074225920325,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:36","end":"08:36","startHours":7.592074225920325,"endHours":8.592074225920324,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:36","end":"09:36","startHours":8.592074225920324,"endHours":9.592074225920324,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:36","end":"10:36","startHours":9.592074225920324,"endHours":10.592074225920324,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:36","end":"11:36","startHours":10.592074225920324,"endHours":11.592074225920324,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:36","end":"12:36","startHours":11.592074225920324,"endHours":12.592074225920324,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:36","end":"13:36","startHours":12.592074225920324,"endHours":13.592074225920324,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:36","end":"14:36","startHours":13.592074225920324,"endHours":14.592074225920324,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:36","end":"15:36","startHours":14.592074225920324,"endHours":15.592074225920324,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:36","end":"16:36","startHours":15.592074225920324,"endHours":16.592074225920324,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:36","end":"17:36","startHours":16.592074225920324,"endHours":17.592074225920324,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:36","end":"18:36","startHours":17.592074225920324,"endHours":18.592074225920324,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:36","end":"19:36","startHours":18.592074225920324,"endHours":19.592074225920324,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:36","end":"20:36","startHours":19.592074225920324,"endHours":20.592074225920324,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:36","end":"21:36","startHours":20.592074225920324,"endHours":21.592074225920324,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:36","end":"22:36","startHours":21.592074225920324,"endHours":22.592074225920324,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:36","end":"23:36","startHours":22.592074225920324,"endHours":23.592074225920324,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:36","end":"00:36","startHours":23.592074225920324,"endHours":24.592074225920324,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:36","end":"01:36","startHours":24.592074225920324,"endHours":25.592074225920324,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:36","end":"02:36","startHours":25.592074225920324,"endHours":26.592074225920324,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:36","end":"03:36","startHours":26.592074225920324,"endHours":27.592074225920324,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:36","end":"04:36","startHours":27.592074225920324,"endHours":28.592074225920324,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:36","end":"05:36","startHours":28.592074225920324,"endHours":29.592074225920324,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"South-East","anandadiYoga":{"name":"Padma","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":5.309882033580497,"eotMinutes":8.793110393778392,"ayanamsa":-48.2745}},"calendars":{"vikram_samvat":-3107,"saka_samvat":-3242,"bengali_samvat":-3757,"malayalam_era":-3988,"nanakshahi_year":-4633,"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 Saptamī · Vikram -3107 undefined · Śaka -3242 undefined"},"festivals":[],"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":"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 September 24, 3165 BCE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"September 24, 3165 BCE for Vārāṇasī (Kāśī): Śukla Saptamī, sūryodaya 05:36, sūryāsta 18:03.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/-3164-09-24","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/-3164-09-24","sa":"https://sa.vidhyamitra.com/city/varanasi/-3164-09-24","hi":"https://hi.vidhyamitra.com/city/varanasi/-3164-09-24","x-default":"https://vidhyamitra.com/city/varanasi/-3164-09-24"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-12T08:53:50.875Z","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":"2026-08-12T08:53:50.875Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-12T08:53:50.875Z","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"}}}