{"id":"vidhyamitra:city-day:varanasi:-0511-05-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/-0511-05-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0511-05-20","date_display":"May 20, 512 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":-511,"month":5,"day":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1534554.770833,"kali_year":2591,"ahargana":946089.2708,"sun":{"sidereal_longitude":68.4492,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":291.3879,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":222.9387,"elapsed_within_tithi_degrees":6.9387},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4,"moon_longitude":291.3879,"elapsed_within_degrees":11.3879},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":359.8371},"karana":{"half_tithi_index":37,"name":"Bālava"},"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":-511,"month":5,"day":20,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1534554.770833,"ahargana":946089.2708,"kali_year":2591,"ayanamsa_lahiri":-11.2184,"grahas":{"sun":{"sidereal_longitude":68.4492,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":291.3879,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false,"latitude":-1.5193},"mars":{"sidereal_longitude":62.7133,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":56.4082,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":124.4201,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":110.3871,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":313.4584,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":91.6375,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":271.6375,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","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":-511,"month":5,"day":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1534554.770833,"kali_year":2591,"ahargana":946089.2708,"sun":{"sidereal_longitude":68.4492,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":291.3879,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":222.9387,"elapsed_within_tithi_degrees":6.9387},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4,"moon_longitude":291.3879,"elapsed_within_degrees":11.3879},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":359.8371},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.519,"elongation":137.061},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.519,"opposition_distance":42.939}},"eclipse_window_40days":[{"offset_days":12,"type":"solar","occurs":true,"moon_latitude":-1.083,"elongation":2.745}]},"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":"05:12","sunsetLocal":"18:37","solarNoonLocal":"11:55","dayLengthHours":13.421059434498355,"dayLengthDisplay":"13 Hours 25 Mins 16 Secs","nightLengthDisplay":"10 Hours 34 Mins 44 Secs","moonriseLocal":"21:30","moonsetLocal":"08:03","rahuKala":{"name":"Rāhu Kāla","start":"15:16","end":"16:56","startHours":15.263699641688168,"endHours":16.94133207100046,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:33","end":"10:14","startHours":8.55316992443899,"endHours":10.230802353751285,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:55","end":"13:35","startHours":11.90843478306358,"endHours":13.586067212375873,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:20","end":"08:47","startHours":8.329485600530685,"endHours":8.776854248347297,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:45","end":"06:07","startHours":5.757115875585166,"endHours":6.115010793838455,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:28","end":"12:21","startHours":11.461066135246968,"endHours":12.355803430880192,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:25","end":"04:18","startHours":3.408430474547954,"endHours":4.303167770181178,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:05","end":"05:12","startHours":4.079483446272872,"endHours":5.1979050658144015,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:09","end":"15:02","startHours":14.145278022146638,"endHours":15.040015317779861,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:25","end":"18:49","startHours":18.418964500312757,"endHours":18.818964500312756,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:37","end":"19:11","startHours":18.618964500312757,"endHours":19.17817531008352,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:22","end":"20:07","startHours":18.368964500312757,"endHours":20.118964500312757,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:28","end":"00:21","startHours":23.46106613524697,"endHours":24.35580343088019,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:12","end":"06:53","startHours":5.1979050658144015,"endHours":6.875537495126696,"quality":"inauspicious"},{"name":"Udveg","start":"06:53","end":"08:33","startHours":6.875537495126696,"endHours":8.55316992443899,"quality":"inauspicious"},{"name":"Chala","start":"08:33","end":"10:14","startHours":8.55316992443899,"endHours":10.230802353751285,"quality":"neutral"},{"name":"Labha","start":"10:14","end":"11:55","startHours":10.230802353751285,"endHours":11.90843478306358,"quality":"auspicious"},{"name":"Amṛta","start":"11:55","end":"13:35","startHours":11.90843478306358,"endHours":13.586067212375873,"quality":"auspicious"},{"name":"Kāla","start":"13:35","end":"15:16","startHours":13.586067212375873,"endHours":15.263699641688168,"quality":"inauspicious"},{"name":"Śubha","start":"15:16","end":"16:56","startHours":15.263699641688168,"endHours":16.94133207100046,"quality":"auspicious"},{"name":"Roga","start":"16:56","end":"18:37","startHours":16.94133207100046,"endHours":18.618964500312757,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:37","end":"19:56","startHours":18.618964500312757,"endHours":19.941332071000463,"quality":"inauspicious"},{"name":"Śubha","start":"19:56","end":"21:16","startHours":19.941332071000463,"endHours":21.263699641688167,"quality":"auspicious"},{"name":"Roga","start":"21:16","end":"22:35","startHours":21.263699641688167,"endHours":22.586067212375873,"quality":"inauspicious"},{"name":"Udveg","start":"22:35","end":"23:55","startHours":22.586067212375873,"endHours":23.90843478306358,"quality":"inauspicious"},{"name":"Chala","start":"23:55","end":"01:14","startHours":23.90843478306358,"endHours":25.230802353751287,"quality":"neutral"},{"name":"Labha","start":"01:14","end":"02:33","startHours":25.230802353751287,"endHours":26.55316992443899,"quality":"auspicious"},{"name":"Amṛta","start":"02:33","end":"03:53","startHours":26.55316992443899,"endHours":27.875537495126697,"quality":"auspicious"},{"name":"Kāla","start":"03:53","end":"05:12","startHours":27.875537495126697,"endHours":29.197905065814403,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:12","end":"06:12","startHours":5.1979050658144015,"endHours":6.1979050658144015,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:12","end":"07:12","startHours":6.1979050658144015,"endHours":7.1979050658144015,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:12","end":"08:12","startHours":7.1979050658144015,"endHours":8.197905065814401,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:12","end":"09:12","startHours":8.197905065814401,"endHours":9.197905065814401,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:12","end":"10:12","startHours":9.197905065814401,"endHours":10.197905065814401,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:12","end":"11:12","startHours":10.197905065814401,"endHours":11.197905065814401,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:12","end":"12:12","startHours":11.197905065814401,"endHours":12.197905065814401,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:12","end":"13:12","startHours":12.197905065814401,"endHours":13.197905065814401,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:12","end":"14:12","startHours":13.197905065814401,"endHours":14.197905065814401,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:12","end":"15:12","startHours":14.197905065814401,"endHours":15.197905065814401,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:12","end":"16:12","startHours":15.197905065814401,"endHours":16.197905065814403,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:12","end":"17:12","startHours":16.197905065814403,"endHours":17.197905065814403,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:12","end":"18:12","startHours":17.197905065814403,"endHours":18.197905065814403,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:12","end":"19:12","startHours":18.197905065814403,"endHours":19.197905065814403,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:12","end":"20:12","startHours":19.197905065814403,"endHours":20.197905065814403,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:12","end":"21:12","startHours":20.197905065814403,"endHours":21.197905065814403,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:12","end":"22:12","startHours":21.197905065814403,"endHours":22.197905065814403,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:12","end":"23:12","startHours":22.197905065814403,"endHours":23.197905065814403,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:12","end":"00:12","startHours":23.197905065814403,"endHours":24.197905065814403,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:12","end":"01:12","startHours":24.197905065814403,"endHours":25.197905065814403,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:12","end":"02:12","startHours":25.197905065814403,"endHours":26.197905065814403,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:12","end":"03:12","startHours":26.197905065814403,"endHours":27.197905065814403,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:12","end":"04:12","startHours":27.197905065814403,"endHours":28.197905065814403,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:12","end":"05:12","startHours":28.197905065814403,"endHours":29.197905065814403,"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":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"North","anandadiYoga":{"name":"Kāladaṇḍa","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":19.538269124749593,"eotMinutes":3.5983130161851964,"ayanamsa":-11.2184}},"calendars":{"vikram_samvat":-454,"saka_samvat":-589,"bengali_samvat":-1104,"malayalam_era":-1335,"nanakshahi_year":-1980,"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 Caturthī · Vikram -454 undefined · Śaka -589 undefined"},"festivals":[{"id":"angarika-chaturthi","name":"Aṅgāraka Caturthī (Tuesday Caturthī)","name_sanskrit":"अङ्गारक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa + Maṅgala","significance":"Tuesday-Caturthī (rare); supremely auspicious for Maṅgala-doṣa-nivāraṇa.","vrata":true,"detection":{"any_of":[{"tithi_number":4,"vara_name":"Maṅgalavāra (Tuesday)"},{"tithi_number":19,"vara_name":"Maṅgalavāra (Tuesday)"}]},"precedence":3},{"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":"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 Aṅgāraka Caturthī (Tuesday Caturthī) · Saṅkaṣṭī Caturthī 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 May 20, 512 BCE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"May 20, 512 BCE for Vārāṇasī (Kāśī): Kṛṣṇa Caturthī, sūryodaya 05:12, sūryāsta 18:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/-0511-05-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/-0511-05-20","sa":"https://sa.vidhyamitra.com/city/varanasi/-0511-05-20","hi":"https://hi.vidhyamitra.com/city/varanasi/-0511-05-20","x-default":"https://vidhyamitra.com/city/varanasi/-0511-05-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T20:46:02.670Z","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":"2026-08-10T20:46:02.670Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T20:46:02.670Z","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"}}}