{"id":"vidhyamitra:city-day:varanasi:2045-05-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/2045-05-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-05-04","date_display":"May 4, 2045 CE","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":2045,"month":5,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468104.770833,"kali_year":5147,"ahargana":1879639.2708,"sun":{"sidereal_longitude":19.4548,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":235.1188,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":215.664,"elapsed_within_tithi_degrees":11.664},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3,"moon_longitude":235.1188,"elapsed_within_degrees":8.4522},"yoga":{"number":20,"name":"Śiva","sum_longitude":254.5737},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2045,"month":5,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468104.770833,"ahargana":1879639.2708,"kali_year":5147,"ayanamsa_lahiri":24.4863,"grahas":{"sun":{"sidereal_longitude":19.514004999999997,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":233.246305,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false,"latitude":-4.2924},"mars":{"sidereal_longitude":18.485304999999983,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":357.199005,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":312.99600499999997,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":30.71590500000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":224.87760500000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":307.666,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":127.666,"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":2045,"month":5,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468104.770833,"kali_year":5147,"ahargana":1879639.2708,"sun":{"sidereal_longitude":19.4548,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":235.1188,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":215.664,"elapsed_within_tithi_degrees":11.664},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3,"moon_longitude":235.1188,"elapsed_within_degrees":8.4522},"yoga":{"number":20,"name":"Śiva","sum_longitude":254.5737},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.292,"elongation":144.336},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.292,"opposition_distance":35.664}},"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":"05:20","sunsetLocal":"18:30","solarNoonLocal":"11:55","dayLengthHours":13.171382326080133,"dayLengthDisplay":"13 Hours 10 Mins 17 Secs","nightLengthDisplay":"10 Hours 49 Mins 43 Secs","moonriseLocal":"20:53","moonsetLocal":"07:27","rahuKala":{"name":"Rāhu Kāla","start":"13:34","end":"15:12","startHours":13.560521830458686,"endHours":15.206944621218703,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:20","end":"06:58","startHours":5.328407876658604,"endHours":6.974830667418621,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:37","end":"10:16","startHours":8.621253458178638,"endHours":10.267676248938653,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:24","end":"08:50","startHours":8.401730419410635,"endHours":8.840776496946638,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:53","end":"06:14","startHours":5.87721547357861,"endHours":6.228452335607413,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:29","end":"12:21","startHours":11.475052962162666,"endHours":12.353145117234673,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:34","end":"04:27","startHours":3.572223566514586,"endHours":4.450315721586595,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:14","end":"05:20","startHours":4.230792682818593,"endHours":5.328407876658604,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:07","end":"14:59","startHours":14.109329427378693,"endHours":14.987421582450702,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:18","end":"18:42","startHours":18.299790202738738,"endHours":18.699790202738736,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:30","end":"19:03","startHours":18.499790202738737,"endHours":19.048597799658744,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:15","end":"20:00","startHours":18.249790202738737,"endHours":19.999790202738737,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:29","end":"00:21","startHours":23.475052962162664,"endHours":24.353145117234675,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:20","end":"06:58","startHours":5.328407876658604,"endHours":6.974830667418621,"quality":"auspicious"},{"name":"Roga","start":"06:58","end":"08:37","startHours":6.974830667418621,"endHours":8.621253458178638,"quality":"inauspicious"},{"name":"Udveg","start":"08:37","end":"10:16","startHours":8.621253458178638,"endHours":10.267676248938653,"quality":"inauspicious"},{"name":"Chala","start":"10:16","end":"11:55","startHours":10.267676248938653,"endHours":11.91409903969867,"quality":"neutral"},{"name":"Labha","start":"11:55","end":"13:34","startHours":11.91409903969867,"endHours":13.560521830458686,"quality":"auspicious"},{"name":"Amṛta","start":"13:34","end":"15:12","startHours":13.560521830458686,"endHours":15.206944621218703,"quality":"auspicious"},{"name":"Kāla","start":"15:12","end":"16:51","startHours":15.206944621218703,"endHours":16.85336741197872,"quality":"inauspicious"},{"name":"Śubha","start":"16:51","end":"18:30","startHours":16.85336741197872,"endHours":18.499790202738737,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:30","end":"19:51","startHours":18.499790202738737,"endHours":19.85336741197872,"quality":"auspicious"},{"name":"Kāla","start":"19:51","end":"21:12","startHours":19.85336741197872,"endHours":21.206944621218703,"quality":"inauspicious"},{"name":"Śubha","start":"21:12","end":"22:34","startHours":21.206944621218703,"endHours":22.560521830458686,"quality":"auspicious"},{"name":"Roga","start":"22:34","end":"23:55","startHours":22.560521830458686,"endHours":23.91409903969867,"quality":"inauspicious"},{"name":"Udveg","start":"23:55","end":"01:16","startHours":23.91409903969867,"endHours":25.267676248938653,"quality":"inauspicious"},{"name":"Chala","start":"01:16","end":"02:37","startHours":25.267676248938653,"endHours":26.621253458178636,"quality":"neutral"},{"name":"Labha","start":"02:37","end":"03:58","startHours":26.621253458178636,"endHours":27.974830667418622,"quality":"auspicious"},{"name":"Amṛta","start":"03:58","end":"05:20","startHours":27.974830667418622,"endHours":29.328407876658602,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:20","end":"06:20","startHours":5.328407876658604,"endHours":6.328407876658604,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:20","end":"07:20","startHours":6.328407876658604,"endHours":7.328407876658604,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:20","end":"08:20","startHours":7.328407876658604,"endHours":8.328407876658604,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:20","end":"09:20","startHours":8.328407876658604,"endHours":9.328407876658604,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:20","end":"10:20","startHours":9.328407876658604,"endHours":10.328407876658604,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:20","end":"11:20","startHours":10.328407876658604,"endHours":11.328407876658604,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:20","end":"12:20","startHours":11.328407876658604,"endHours":12.328407876658604,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:20","end":"13:20","startHours":12.328407876658604,"endHours":13.328407876658604,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:20","end":"14:20","startHours":13.328407876658604,"endHours":14.328407876658604,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:20","end":"15:20","startHours":14.328407876658604,"endHours":15.328407876658604,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:20","end":"16:20","startHours":15.328407876658604,"endHours":16.328407876658602,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:20","end":"17:20","startHours":16.328407876658602,"endHours":17.328407876658602,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:20","end":"18:20","startHours":17.328407876658602,"endHours":18.328407876658602,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:20","end":"19:20","startHours":18.328407876658602,"endHours":19.328407876658602,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:20","end":"20:20","startHours":19.328407876658602,"endHours":20.328407876658602,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:20","end":"21:20","startHours":20.328407876658602,"endHours":21.328407876658602,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:20","end":"22:20","startHours":21.328407876658602,"endHours":22.328407876658602,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:20","end":"23:20","startHours":22.328407876658602,"endHours":23.328407876658602,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:20","end":"00:20","startHours":23.328407876658602,"endHours":24.328407876658602,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:20","end":"01:20","startHours":24.328407876658602,"endHours":25.328407876658602,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:20","end":"02:20","startHours":25.328407876658602,"endHours":26.328407876658602,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:20","end":"03:20","startHours":26.328407876658602,"endHours":27.328407876658602,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:20","end":"04:20","startHours":27.328407876658602,"endHours":28.328407876658602,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:20","end":"05:20","startHours":28.328407876658602,"endHours":29.328407876658602,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"North-East","rahuVasa":"North-West","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":16.038886989018973,"eotMinutes":3.258457618079846,"ayanamsa":24.4863}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Tṛtīyā · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"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 4, 2045 CE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"May 4, 2045 CE for Vārāṇasī (Kāśī): Kṛṣṇa Tṛtīyā, sūryodaya 05:20, sūryāsta 18:30.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/2045-05-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/2045-05-04","sa":"https://sa.vidhyamitra.com/city/varanasi/2045-05-04","hi":"https://hi.vidhyamitra.com/city/varanasi/2045-05-04","x-default":"https://vidhyamitra.com/city/varanasi/2045-05-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T12:59:16.333Z","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":"2026-08-10T12:59:16.333Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T12:59:16.333Z","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"}}}