{"id":"vidhyamitra:city-day:varanasi:-3200-04-30:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/-3200-04-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3200-04-30","date_display":"April 30, 3201 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":-3200,"month":4,"day":30,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":552377.770833,"kali_year":-98,"ahargana":-36087.7292,"sun":{"sidereal_longitude":72.0431,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":51.9108,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":339.8677,"elapsed_within_tithi_degrees":3.8677},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4,"moon_longitude":51.9108,"elapsed_within_degrees":11.9108},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":123.9539},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":-3200,"month":4,"day":30,"hour":6,"minute":30,"calendar":"julian"},"julian_day":552377.770833,"ahargana":-36087.7292,"kali_year":-98,"ayanamsa_lahiri":-48.783,"grahas":{"sun":{"sidereal_longitude":72.0431,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":51.9108,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false,"latitude":3.9036},"mars":{"sidereal_longitude":130.9798,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":61.5553,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":232.1588,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":100.4607,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":232.3916,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":292.1016,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":112.1016,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2},"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":-3200,"month":4,"day":30,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":552377.770833,"kali_year":-98,"ahargana":-36087.7292,"sun":{"sidereal_longitude":72.0431,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":51.9108,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":339.8677,"elapsed_within_tithi_degrees":3.8677},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4,"moon_longitude":51.9108,"elapsed_within_degrees":11.9108},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":123.9539},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.904,"elongation":20.132},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.904,"opposition_distance":159.868}},"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":"05:34","sunsetLocal":"18:16","solarNoonLocal":"11:55","dayLengthHours":12.700164051810567,"dayLengthDisplay":"12 Hours 42 Mins 01 Secs","nightLengthDisplay":"11 Hours 17 Mins 59 Secs","moonriseLocal":"04:30","moonsetLocal":"16:40","rahuKala":{"name":"Rāhu Kāla","start":"15:06","end":"16:41","startHours":15.097023326465939,"endHours":16.68454383294226,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:45","end":"10:20","startHours":8.746941300560655,"endHours":10.334461807036977,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:55","end":"13:31","startHours":11.921982313513297,"endHours":13.509502819989617,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:32","end":"08:58","startHours":8.535271899697147,"endHours":8.958610701424165,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:06","end":"06:26","startHours":6.101073789766787,"endHours":6.439744831148402,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:30","end":"12:21","startHours":11.498643511786279,"endHours":12.345321115240315,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:53","end":"04:44","startHours":3.8785450806999373,"endHours":4.725222684153976,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:31","end":"05:34","startHours":4.513553283290466,"endHours":5.571900287608013,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:02","end":"14:53","startHours":14.038676322148392,"endHours":14.88535392560243,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:04","end":"18:28","startHours":18.07206433941858,"endHours":18.47206433941858,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:16","end":"18:48","startHours":18.27206433941858,"endHours":18.801237841577354,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:01","end":"19:46","startHours":18.02206433941858,"endHours":19.77206433941858,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:30","end":"00:21","startHours":23.498643511786277,"endHours":24.345321115240317,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:34","end":"07:10","startHours":5.571900287608013,"endHours":7.159420794084334,"quality":"inauspicious"},{"name":"Udveg","start":"07:10","end":"08:45","startHours":7.159420794084334,"endHours":8.746941300560655,"quality":"inauspicious"},{"name":"Chala","start":"08:45","end":"10:20","startHours":8.746941300560655,"endHours":10.334461807036977,"quality":"neutral"},{"name":"Labha","start":"10:20","end":"11:55","startHours":10.334461807036977,"endHours":11.921982313513297,"quality":"auspicious"},{"name":"Amṛta","start":"11:55","end":"13:31","startHours":11.921982313513297,"endHours":13.509502819989617,"quality":"auspicious"},{"name":"Kāla","start":"13:31","end":"15:06","startHours":13.509502819989617,"endHours":15.097023326465939,"quality":"inauspicious"},{"name":"Śubha","start":"15:06","end":"16:41","startHours":15.097023326465939,"endHours":16.68454383294226,"quality":"auspicious"},{"name":"Roga","start":"16:41","end":"18:16","startHours":16.68454383294226,"endHours":18.27206433941858,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:16","end":"19:41","startHours":18.27206433941858,"endHours":19.68454383294226,"quality":"inauspicious"},{"name":"Śubha","start":"19:41","end":"21:06","startHours":19.68454383294226,"endHours":21.097023326465937,"quality":"auspicious"},{"name":"Roga","start":"21:06","end":"22:31","startHours":21.097023326465937,"endHours":22.509502819989617,"quality":"inauspicious"},{"name":"Udveg","start":"22:31","end":"23:55","startHours":22.509502819989617,"endHours":23.921982313513297,"quality":"inauspicious"},{"name":"Chala","start":"23:55","end":"01:20","startHours":23.921982313513297,"endHours":25.334461807036977,"quality":"neutral"},{"name":"Labha","start":"01:20","end":"02:45","startHours":25.334461807036977,"endHours":26.746941300560657,"quality":"auspicious"},{"name":"Amṛta","start":"02:45","end":"04:10","startHours":26.746941300560657,"endHours":28.159420794084333,"quality":"auspicious"},{"name":"Kāla","start":"04:10","end":"05:34","startHours":28.159420794084333,"endHours":29.571900287608013,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:34","end":"06:34","startHours":5.571900287608013,"endHours":6.571900287608013,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:34","end":"07:34","startHours":6.571900287608013,"endHours":7.571900287608013,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:34","end":"08:34","startHours":7.571900287608013,"endHours":8.571900287608013,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:34","end":"09:34","startHours":8.571900287608013,"endHours":9.571900287608013,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:34","end":"10:34","startHours":9.571900287608013,"endHours":10.571900287608013,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:34","end":"11:34","startHours":10.571900287608013,"endHours":11.571900287608013,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:34","end":"12:34","startHours":11.571900287608013,"endHours":12.571900287608013,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:34","end":"13:34","startHours":12.571900287608013,"endHours":13.571900287608013,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:34","end":"14:34","startHours":13.571900287608013,"endHours":14.571900287608013,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:34","end":"15:34","startHours":14.571900287608013,"endHours":15.571900287608013,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:34","end":"16:34","startHours":15.571900287608013,"endHours":16.571900287608013,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:34","end":"17:34","startHours":16.571900287608013,"endHours":17.571900287608013,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:34","end":"18:34","startHours":17.571900287608013,"endHours":18.571900287608013,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:34","end":"19:34","startHours":18.571900287608013,"endHours":19.571900287608013,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:34","end":"20:34","startHours":19.571900287608013,"endHours":20.571900287608013,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:34","end":"21:34","startHours":20.571900287608013,"endHours":21.571900287608013,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:34","end":"22:34","startHours":21.571900287608013,"endHours":22.571900287608013,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:34","end":"23:34","startHours":22.571900287608013,"endHours":23.571900287608013,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:34","end":"00:34","startHours":23.571900287608013,"endHours":24.571900287608013,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:34","end":"01:34","startHours":24.571900287608013,"endHours":25.571900287608013,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:34","end":"02:34","startHours":25.571900287608013,"endHours":26.571900287608013,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:34","end":"03:34","startHours":26.571900287608013,"endHours":27.571900287608013,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:34","end":"04:34","startHours":27.571900287608013,"endHours":28.571900287608013,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:34","end":"05:34","startHours":28.571900287608013,"endHours":29.571900287608013,"planetary_lord":"Saturn"}],"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":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"North","anandadiYoga":{"name":"Maitra","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":9.036687138783616,"eotMinutes":2.785461189202204,"ayanamsa":-48.783}},"calendars":{"vikram_samvat":-3143,"saka_samvat":-3278,"bengali_samvat":-3793,"malayalam_era":-4024,"nanakshahi_year":-4669,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Caturdaśī · Vikram -3143 undefined · Śaka -3278 undefined"},"festivals":[{"id":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Dedicated festival walk for Māsika Śivarātri is not live yet; Maṅgalavāra (Tuesday) — 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 30, 3201 BCE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"April 30, 3201 BCE for Vārāṇasī (Kāśī): Kṛṣṇa Caturdaśī, sūryodaya 05:34, sūryāsta 18:16.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/-3200-04-30","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/-3200-04-30","sa":"https://sa.vidhyamitra.com/city/varanasi/-3200-04-30","hi":"https://hi.vidhyamitra.com/city/varanasi/-3200-04-30","x-default":"https://vidhyamitra.com/city/varanasi/-3200-04-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T13:13:18.073Z","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":"2026-08-10T13:13:18.073Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T13:13:18.073Z","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"}}}