{"id":"vidhyamitra:city-day:varanasi:-3123-09-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/-3123-09-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3123-09-04","date_display":"September 4, 3124 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":-3123,"month":9,"day":4,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":580628.770833,"kali_year":-21,"ahargana":-7836.7292,"sun":{"sidereal_longitude":193.987,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":55.6673,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":221.6803,"elapsed_within_tithi_degrees":5.6803},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":55.6673,"elapsed_within_degrees":2.334},"yoga":{"number":19,"name":"Parigha","sum_longitude":249.6543},"karana":{"half_tithi_index":36,"name":"Bava"},"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":-3123,"month":9,"day":4,"hour":6,"minute":30,"calendar":"julian"},"julian_day":580628.770833,"ahargana":-7836.7292,"kali_year":-21,"ayanamsa_lahiri":-47.7025,"grahas":{"sun":{"sidereal_longitude":193.987,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":55.6673,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false,"latitude":-0.0345},"mars":{"sidereal_longitude":199.3782,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":217.048,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":84.4926,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"venus":{"sidereal_longitude":149.8654,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":110.3024,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":235.2276,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":55.2276,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","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":-3123,"month":9,"day":4,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":580628.770833,"kali_year":-21,"ahargana":-7836.7292,"sun":{"sidereal_longitude":193.987,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":55.6673,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":221.6803,"elapsed_within_tithi_degrees":5.6803},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":55.6673,"elapsed_within_degrees":2.334},"yoga":{"number":19,"name":"Parigha","sum_longitude":249.6543},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.034,"elongation":138.32},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.034,"opposition_distance":41.68}},"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":"05:28","sunsetLocal":"18:25","solarNoonLocal":"11:57","dayLengthHours":12.946438933102208,"dayLengthDisplay":"12 Hours 56 Mins 47 Secs","nightLengthDisplay":"11 Hours 03 Mins 13 Secs","moonriseLocal":"20:35","moonsetLocal":"08:52","rahuKala":{"name":"Rāhu Kāla","start":"07:05","end":"08:42","startHours":7.0885281317990705,"endHours":8.706832998436846,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:20","end":"11:57","startHours":10.325137865074623,"endHours":11.943442731712398,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:34","end":"15:11","startHours":13.561747598350173,"endHours":15.18005246498795,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:29","end":"08:55","startHours":8.491059016218475,"endHours":8.922606980655218,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:01","end":"06:21","startHours":6.0096582207072196,"endHours":6.354896592256612,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:31","end":"12:22","startHours":11.511894767275658,"endHours":12.374990696149139,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:45","end":"04:36","startHours":3.7440314074143335,"endHours":4.607127336287814,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:23","end":"05:28","startHours":4.391353354069444,"endHours":5.4702232651612945,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:06","end":"14:58","startHours":14.1011825538961,"endHours":14.964278482769581,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:13","end":"18:37","startHours":18.216662198263503,"endHours":18.6166621982635,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:25","end":"18:57","startHours":18.416662198263502,"endHours":18.956097153809427,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:10","end":"19:55","startHours":18.166662198263502,"endHours":19.916662198263502,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:31","end":"00:22","startHours":23.51189476727566,"endHours":24.374990696149137,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:28","end":"07:05","startHours":5.4702232651612945,"endHours":7.0885281317990705,"quality":"auspicious"},{"name":"Kāla","start":"07:05","end":"08:42","startHours":7.0885281317990705,"endHours":8.706832998436846,"quality":"inauspicious"},{"name":"Śubha","start":"08:42","end":"10:20","startHours":8.706832998436846,"endHours":10.325137865074623,"quality":"auspicious"},{"name":"Roga","start":"10:20","end":"11:57","startHours":10.325137865074623,"endHours":11.943442731712398,"quality":"inauspicious"},{"name":"Udveg","start":"11:57","end":"13:34","startHours":11.943442731712398,"endHours":13.561747598350173,"quality":"inauspicious"},{"name":"Chala","start":"13:34","end":"15:11","startHours":13.561747598350173,"endHours":15.18005246498795,"quality":"neutral"},{"name":"Labha","start":"15:11","end":"16:48","startHours":15.18005246498795,"endHours":16.798357331625727,"quality":"auspicious"},{"name":"Amṛta","start":"16:48","end":"18:25","startHours":16.798357331625727,"endHours":18.416662198263502,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:25","end":"19:48","startHours":18.416662198263502,"endHours":19.798357331625727,"quality":"neutral"},{"name":"Labha","start":"19:48","end":"21:11","startHours":19.798357331625727,"endHours":21.180052464987952,"quality":"auspicious"},{"name":"Amṛta","start":"21:11","end":"22:34","startHours":21.180052464987952,"endHours":22.561747598350173,"quality":"auspicious"},{"name":"Kāla","start":"22:34","end":"23:57","startHours":22.561747598350173,"endHours":23.9434427317124,"quality":"inauspicious"},{"name":"Śubha","start":"23:57","end":"01:20","startHours":23.9434427317124,"endHours":25.325137865074623,"quality":"auspicious"},{"name":"Roga","start":"01:20","end":"02:42","startHours":25.325137865074623,"endHours":26.706832998436845,"quality":"inauspicious"},{"name":"Udveg","start":"02:42","end":"04:05","startHours":26.706832998436845,"endHours":28.08852813179907,"quality":"inauspicious"},{"name":"Chala","start":"04:05","end":"05:28","startHours":28.08852813179907,"endHours":29.470223265161295,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:28","end":"06:28","startHours":5.4702232651612945,"endHours":6.4702232651612945,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:28","end":"07:28","startHours":6.4702232651612945,"endHours":7.4702232651612945,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:28","end":"08:28","startHours":7.4702232651612945,"endHours":8.470223265161295,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:28","end":"09:28","startHours":8.470223265161295,"endHours":9.470223265161295,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:28","end":"10:28","startHours":9.470223265161295,"endHours":10.470223265161295,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:28","end":"11:28","startHours":10.470223265161295,"endHours":11.470223265161295,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:28","end":"12:28","startHours":11.470223265161295,"endHours":12.470223265161295,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:28","end":"13:28","startHours":12.470223265161295,"endHours":13.470223265161295,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:28","end":"14:28","startHours":13.470223265161295,"endHours":14.470223265161295,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:28","end":"15:28","startHours":14.470223265161295,"endHours":15.470223265161295,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:28","end":"16:28","startHours":15.470223265161295,"endHours":16.470223265161295,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:28","end":"17:28","startHours":16.470223265161295,"endHours":17.470223265161295,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:28","end":"18:28","startHours":17.470223265161295,"endHours":18.470223265161295,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:28","end":"19:28","startHours":18.470223265161295,"endHours":19.470223265161295,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:28","end":"20:28","startHours":19.470223265161295,"endHours":20.470223265161295,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:28","end":"21:28","startHours":20.470223265161295,"endHours":21.470223265161295,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:28","end":"22:28","startHours":21.470223265161295,"endHours":22.470223265161295,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:28","end":"23:28","startHours":22.470223265161295,"endHours":23.470223265161295,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:28","end":"00:28","startHours":23.470223265161295,"endHours":24.470223265161295,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:28","end":"01:28","startHours":24.470223265161295,"endHours":25.470223265161295,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:28","end":"02:28","startHours":25.470223265161295,"endHours":26.470223265161295,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:28","end":"03:28","startHours":26.470223265161295,"endHours":27.470223265161295,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:28","end":"04:28","startHours":27.470223265161295,"endHours":28.470223265161295,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:28","end":"05:28","startHours":28.470223265161295,"endHours":29.470223265161295,"planetary_lord":"Venus"}],"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":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":12.754212725276286,"eotMinutes":1.4978360972560227,"ayanamsa":-47.7025}},"calendars":{"vikram_samvat":-3066,"saka_samvat":-3201,"bengali_samvat":-3716,"malayalam_era":-3947,"nanakshahi_year":-4592,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","lunar_month_amanta":"Kārtika","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Caturthī · Vikram -3066 undefined · Śaka -3201 undefined"},"festivals":[{"id":"karva-chauth","name":"Karvā Chauth","name_sanskrit":"करवा चौथ","tradition":"Pan-Hindu","associated_deity":"Pārvatī + Gaṇeśa + Chandra","significance":"North Indian wives' fast for husband's longevity. Kṛṣṇa Caturthī of Kārtika.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa","lunar_month":"Kārtika"},"precedence":2},{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"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 Karvā Chauth · Saṅkaṣṭī Caturthī 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 September 4, 3124 BCE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"September 4, 3124 BCE for Vārāṇasī (Kāśī): Kṛṣṇa Caturthī, sūryodaya 05:28, sūryāsta 18:25.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/-3123-09-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/-3123-09-04","sa":"https://sa.vidhyamitra.com/city/varanasi/-3123-09-04","hi":"https://hi.vidhyamitra.com/city/varanasi/-3123-09-04","x-default":"https://vidhyamitra.com/city/varanasi/-3123-09-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-11T00:50:24.332Z","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":"2026-08-11T00:50:24.332Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-11T00:50:24.332Z","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"}}}