{"id":"vidhyamitra:city-day:ranchi:2045-05-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2045-05-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-05-01","date_display":"May 1, 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":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2045,"month":5,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468101.770833,"kali_year":5147,"ahargana":1879636.2708,"sun":{"sidereal_longitude":16.5597,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":195.9669,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":179.4072,"elapsed_within_tithi_degrees":11.4072},"nakshatra":{"number":15,"name":"Svātī","pada":3,"moon_longitude":195.9669,"elapsed_within_degrees":9.3002},"yoga":{"number":16,"name":"Siddhi","sum_longitude":212.5266},"karana":{"half_tithi_index":29,"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":2045,"month":5,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468101.770833,"ahargana":1879636.2708,"kali_year":5147,"ayanamsa_lahiri":24.4862,"grahas":{"sun":{"sidereal_longitude":16.603520000000003,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":194.17282,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false,"latitude":-4.1759},"mars":{"sidereal_longitude":16.279719999999998,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":352.51822,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":312.5139200000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":27.021920000000023,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":225.06022000000007,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":307.8249,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":127.8249,"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":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2045,"month":5,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468101.770833,"kali_year":5147,"ahargana":1879636.2708,"sun":{"sidereal_longitude":16.5597,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":195.9669,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":179.4072,"elapsed_within_tithi_degrees":11.4072},"nakshatra":{"number":15,"name":"Svātī","pada":3,"moon_longitude":195.9669,"elapsed_within_degrees":9.3002},"yoga":{"number":16,"name":"Siddhi","sum_longitude":212.5266},"karana":{"half_tithi_index":29,"name":"Bava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.176,"elongation":179.407},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.176,"opposition_distance":0.593}},"eclipse_window_40days":[]},"city":{"slug":"ranchi","name":"Ranchi, Jharkhand","lat":23.3441,"lon":85.3096,"tz_offset_hours":5.5,"state":"Jharkhand","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"ranchi","name":"Ranchi, Jharkhand","lat":23.3441,"lon":85.3096,"tz_offset_hours":5.5,"state":"Jharkhand","country":"IN","tier":"tier-1"},"sunriseLocal":"05:15","sunsetLocal":"18:16","solarNoonLocal":"11:46","dayLengthHours":13.021272480846285,"dayLengthDisplay":"13 Hours 01 Mins 17 Secs","nightLengthDisplay":"10 Hours 58 Mins 43 Secs","moonriseLocal":"17:59","moonsetLocal":"05:13","rahuKala":{"name":"Rāhu Kāla","start":"06:53","end":"08:31","startHours":6.881082697533196,"endHours":8.508741757638981,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:08","end":"11:46","startHours":10.136400817744768,"endHours":11.764059877850553,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:24","end":"15:01","startHours":13.391718937956337,"endHours":15.019377998062124,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:18","end":"08:44","startHours":8.291720549624877,"endHours":8.725762965653086,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:48","end":"06:09","startHours":5.795976657462672,"endHours":6.14321059028524,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:20","end":"12:12","startHours":11.330017461822344,"endHours":12.198102293878762,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:31","end":"04:23","startHours":3.5172539733145722,"endHours":4.385338805370991,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:10","end":"05:15","startHours":4.168317597356886,"endHours":5.25342363742741,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:56","end":"14:48","startHours":13.934271957991601,"endHours":14.802356790048021,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:04","end":"18:28","startHours":18.074696118273696,"endHours":18.474696118273695,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:16","end":"18:49","startHours":18.274696118273695,"endHours":18.817249138308956,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:01","end":"19:46","startHours":18.024696118273695,"endHours":19.774696118273695,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:20","end":"00:12","startHours":23.330017461822344,"endHours":24.19810229387876,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:15","end":"06:53","startHours":5.25342363742741,"endHours":6.881082697533196,"quality":"auspicious"},{"name":"Kāla","start":"06:53","end":"08:31","startHours":6.881082697533196,"endHours":8.508741757638981,"quality":"inauspicious"},{"name":"Śubha","start":"08:31","end":"10:08","startHours":8.508741757638981,"endHours":10.136400817744768,"quality":"auspicious"},{"name":"Roga","start":"10:08","end":"11:46","startHours":10.136400817744768,"endHours":11.764059877850553,"quality":"inauspicious"},{"name":"Udveg","start":"11:46","end":"13:24","startHours":11.764059877850553,"endHours":13.391718937956337,"quality":"inauspicious"},{"name":"Chala","start":"13:24","end":"15:01","startHours":13.391718937956337,"endHours":15.019377998062124,"quality":"neutral"},{"name":"Labha","start":"15:01","end":"16:39","startHours":15.019377998062124,"endHours":16.64703705816791,"quality":"auspicious"},{"name":"Amṛta","start":"16:39","end":"18:16","startHours":16.64703705816791,"endHours":18.274696118273695,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:16","end":"19:39","startHours":18.274696118273695,"endHours":19.64703705816791,"quality":"neutral"},{"name":"Labha","start":"19:39","end":"21:01","startHours":19.64703705816791,"endHours":21.019377998062126,"quality":"auspicious"},{"name":"Amṛta","start":"21:01","end":"22:24","startHours":21.019377998062126,"endHours":22.391718937956337,"quality":"auspicious"},{"name":"Kāla","start":"22:24","end":"23:46","startHours":22.391718937956337,"endHours":23.764059877850553,"quality":"inauspicious"},{"name":"Śubha","start":"23:46","end":"01:08","startHours":23.764059877850553,"endHours":25.136400817744768,"quality":"auspicious"},{"name":"Roga","start":"01:08","end":"02:31","startHours":25.136400817744768,"endHours":26.50874175763898,"quality":"inauspicious"},{"name":"Udveg","start":"02:31","end":"03:53","startHours":26.50874175763898,"endHours":27.881082697533195,"quality":"inauspicious"},{"name":"Chala","start":"03:53","end":"05:15","startHours":27.881082697533195,"endHours":29.25342363742741,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:15","end":"06:15","startHours":5.25342363742741,"endHours":6.25342363742741,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:15","end":"07:15","startHours":6.25342363742741,"endHours":7.25342363742741,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:15","end":"08:15","startHours":7.25342363742741,"endHours":8.25342363742741,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:15","end":"09:15","startHours":8.25342363742741,"endHours":9.25342363742741,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:15","end":"10:15","startHours":9.25342363742741,"endHours":10.25342363742741,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:15","end":"11:15","startHours":10.25342363742741,"endHours":11.25342363742741,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:15","end":"12:15","startHours":11.25342363742741,"endHours":12.25342363742741,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:15","end":"13:15","startHours":12.25342363742741,"endHours":13.25342363742741,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:15","end":"14:15","startHours":13.25342363742741,"endHours":14.25342363742741,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:15","end":"15:15","startHours":14.25342363742741,"endHours":15.25342363742741,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:15","end":"16:15","startHours":15.25342363742741,"endHours":16.25342363742741,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:15","end":"17:15","startHours":16.25342363742741,"endHours":17.25342363742741,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:15","end":"18:15","startHours":17.25342363742741,"endHours":18.25342363742741,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:15","end":"19:15","startHours":18.25342363742741,"endHours":19.25342363742741,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:15","end":"20:15","startHours":19.25342363742741,"endHours":20.25342363742741,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:15","end":"21:15","startHours":20.25342363742741,"endHours":21.25342363742741,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:15","end":"22:15","startHours":21.25342363742741,"endHours":22.25342363742741,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:15","end":"23:15","startHours":22.25342363742741,"endHours":23.25342363742741,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:15","end":"00:15","startHours":23.25342363742741,"endHours":24.25342363742741,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:15","end":"01:15","startHours":24.25342363742741,"endHours":25.25342363742741,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:15","end":"02:15","startHours":25.25342363742741,"endHours":26.25342363742741,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:15","end":"03:15","startHours":26.25342363742741,"endHours":27.25342363742741,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:15","end":"04:15","startHours":27.25342363742741,"endHours":28.25342363742741,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:15","end":"05:15","startHours":28.25342363742741,"endHours":29.25342363742741,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"North","rahuVasa":"North-East","anandadiYoga":{"name":"Siddhi","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":15.153487473657105,"eotMinutes":2.918007328966811,"ayanamsa":24.4862}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","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":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Pūrṇimā · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[{"id":"buddha-purnima","name":"Buddha Pūrṇimā","name_sanskrit":"बुद्ध पूर्णिमा","name_alternates":["Vesak","Vaiśākhī Pūrṇimā","Vesakha"],"tradition":"Pan-Hindu","associated_deity":"Buddha (21st avatāra of Krishna per Bhāgavata 1.3.24)","deity_avatara_index":21,"significance":"Buddha's birth, enlightenment, and mahāparinirvāṇa all on this Vaiśākha Pūrṇimā. Most sacred Buddhist + Vaishnava day.","vrata":true,"primary_observance":"Day-long observance of compassion (karuṇā) and ahiṁsā; Buddha-stuti at sunset","detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":1,"related_chart":"buddha","historical_anchor":{"event":"Bhagavān Buddha's birth at Lumbinī","date_julian":"-0562-04-11","location":"Lumbinī, Nepal"},"sources":["Bhāgavata Purāṇa 1.3.24","Pāli Tipiṭaka","Buddhacarita by Aśvaghoṣa"]},{"id":"kurma-jayanti","name":"Kūrma Jayantī","name_sanskrit":"कूर्म जयन्ती","tradition":"Vaishnava","associated_deity":"Kūrma (2nd avatāra of Krishna)","deity_avatara_index":11,"significance":"Kūrma supports Mount Mandara during the Sāgara-mathana (churning of the cosmic ocean).","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":4,"sources":["Bhāgavata 8.7-8"]},{"id":"chandika-jayanti","name":"Chaṇḍikā Jayantī","name_sanskrit":"चण्डिका जयन्ती","tradition":"Shakta","associated_deity":"Devī Chaṇḍikā","significance":"Devī's fierce protective form. Often coincides with Buddha Pūrṇimā.","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":5},{"id":"chitra-paurnami","name":"Citrā Paurṇamī","name_sanskrit":"चित्रा पौर्णमी","tradition":"Regional","significance":"Tamil regional Vaiśākha Pūrṇimā observance; honors Citragupta.","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":6},{"id":"vaishakha-purnima-vrat","name":"Vaiśākha Pūrṇimā Vrat","name_sanskrit":"वैशाख पूर्णिमा व्रत","tradition":"Pan-Hindu","significance":"General Pūrṇimā vrat in Vaiśākha (highly auspicious month).","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":7}],"todays_walk":{"walk":{"id":"buddha-purnima-walk","name":"Buddha Pūrṇimā Walk","name_sanskrit":"बुद्ध पूर्णिमा यात्रा","type":"festival","description":"Bhāgavata 1.3.24 (Buddha as 21st avatāra) + BG 12.13 (compassion) + Dhammapada parallels.","step_count":7,"url":"/walk/buddha-purnima-walk"},"reason":"Today is Buddha Pūrṇimā — its dedicated walk."},"cosmic_resonances":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Śukla Pūrṇimā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Śukla Pūrṇimā","url":"/day/-0562-04-11","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"ranchi"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga May 1, 2045 CE · Ranchi, Jharkhand · Vidhyamitra","description":"May 1, 2045 CE for Ranchi, Jharkhand: Śukla Pūrṇimā, sūryodaya 05:15, sūryāsta 18:16.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2045-05-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2045-05-01","sa":"https://sa.vidhyamitra.com/city/ranchi/2045-05-01","hi":"https://hi.vidhyamitra.com/city/ranchi/2045-05-01","x-default":"https://vidhyamitra.com/city/ranchi/2045-05-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T06:48:49.088Z","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":"2026-05-31T06:48:49.088Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T06:48:49.088Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}