{"id":"vidhyamitra:city-day:vrindavan:2045-04-30:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2045-04-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-04-30","date_display":"April 30, 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":4,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468100.770833,"kali_year":5147,"ahargana":1879635.2708,"sun":{"sidereal_longitude":15.5935,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":182.2695,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":166.676,"elapsed_within_tithi_degrees":10.676},"nakshatra":{"number":14,"name":"Citrā","pada":3,"moon_longitude":182.2695,"elapsed_within_degrees":8.9362},"yoga":{"number":15,"name":"Vajra","sum_longitude":197.863},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":4,"day":30,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468100.770833,"ahargana":1879635.2708,"kali_year":5147,"ayanamsa_lahiri":24.4862,"grahas":{"sun":{"sidereal_longitude":15.63235800000001,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":180.61145799999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false,"latitude":-3.6573},"mars":{"sidereal_longitude":15.542757999999992,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":351.023658,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":312.34935799999994,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":25.789958000000013,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":225.11915799999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":307.8779,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":127.8779,"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":4,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468100.770833,"kali_year":5147,"ahargana":1879635.2708,"sun":{"sidereal_longitude":15.5935,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":182.2695,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":166.676,"elapsed_within_tithi_degrees":10.676},"nakshatra":{"number":14,"name":"Citrā","pada":3,"moon_longitude":182.2695,"elapsed_within_degrees":8.9362},"yoga":{"number":15,"name":"Vajra","sum_longitude":197.863},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.657,"elongation":166.676},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.657,"opposition_distance":13.324}},"eclipse_window_40days":[]},"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"05:41","sunsetLocal":"18:52","solarNoonLocal":"12:17","dayLengthHours":13.191795115992647,"dayLengthDisplay":"13 Hours 11 Mins 30 Secs","nightLengthDisplay":"10 Hours 48 Mins 30 Secs","moonriseLocal":"17:34","moonsetLocal":"04:59","rahuKala":{"name":"Rāhu Kāla","start":"17:13","end":"18:52","startHours":17.223212148677206,"endHours":18.872186538176287,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:17","end":"13:56","startHours":12.276288980179963,"endHours":13.925263369679044,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:34","end":"17:13","startHours":15.574237759178125,"endHours":17.223212148677206,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:46","end":"09:12","startHours":8.75847694924859,"endHours":9.198203453115012,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:14","end":"06:35","startHours":6.230049552016666,"endHours":6.581830755109804,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:43","startHours":11.836562476313542,"endHours":12.716015484046384,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:55","end":"04:48","startHours":3.921485406717953,"endHours":4.800938414450796,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:35","end":"05:41","startHours":4.581075162517585,"endHours":5.680391422183639,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:28","end":"15:21","startHours":14.474921499512071,"endHours":15.354374507244914,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:40","end":"19:04","startHours":18.672186538176287,"endHours":19.072186538176286,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:52","end":"19:25","startHours":18.872186538176287,"endHours":19.421844668009314,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:37","end":"20:22","startHours":18.622186538176287,"endHours":20.372186538176287,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:43","startHours":23.836562476313542,"endHours":24.716015484046384,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:41","end":"07:20","startHours":5.680391422183639,"endHours":7.32936581168272,"quality":"inauspicious"},{"name":"Chala","start":"07:20","end":"08:59","startHours":7.32936581168272,"endHours":8.978340201181801,"quality":"neutral"},{"name":"Labha","start":"08:59","end":"10:38","startHours":8.978340201181801,"endHours":10.627314590680882,"quality":"auspicious"},{"name":"Amṛta","start":"10:38","end":"12:17","startHours":10.627314590680882,"endHours":12.276288980179963,"quality":"auspicious"},{"name":"Kāla","start":"12:17","end":"13:56","startHours":12.276288980179963,"endHours":13.925263369679044,"quality":"inauspicious"},{"name":"Śubha","start":"13:56","end":"15:34","startHours":13.925263369679044,"endHours":15.574237759178125,"quality":"auspicious"},{"name":"Roga","start":"15:34","end":"17:13","startHours":15.574237759178125,"endHours":17.223212148677206,"quality":"inauspicious"},{"name":"Udveg","start":"17:13","end":"18:52","startHours":17.223212148677206,"endHours":18.872186538176287,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:52","end":"20:13","startHours":18.872186538176287,"endHours":20.223212148677206,"quality":"auspicious"},{"name":"Roga","start":"20:13","end":"21:34","startHours":20.223212148677206,"endHours":21.574237759178125,"quality":"inauspicious"},{"name":"Udveg","start":"21:34","end":"22:56","startHours":21.574237759178125,"endHours":22.925263369679044,"quality":"inauspicious"},{"name":"Chala","start":"22:56","end":"00:17","startHours":22.925263369679044,"endHours":24.276288980179963,"quality":"neutral"},{"name":"Labha","start":"00:17","end":"01:38","startHours":24.276288980179963,"endHours":25.627314590680882,"quality":"auspicious"},{"name":"Amṛta","start":"01:38","end":"02:59","startHours":25.627314590680882,"endHours":26.9783402011818,"quality":"auspicious"},{"name":"Kāla","start":"02:59","end":"04:20","startHours":26.9783402011818,"endHours":28.32936581168272,"quality":"inauspicious"},{"name":"Śubha","start":"04:20","end":"05:41","startHours":28.32936581168272,"endHours":29.68039142218364,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:41","end":"06:41","startHours":5.680391422183639,"endHours":6.680391422183639,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:41","end":"07:41","startHours":6.680391422183639,"endHours":7.680391422183639,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:41","end":"08:41","startHours":7.680391422183639,"endHours":8.68039142218364,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:41","end":"09:41","startHours":8.68039142218364,"endHours":9.68039142218364,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:41","end":"10:41","startHours":9.68039142218364,"endHours":10.68039142218364,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:41","end":"11:41","startHours":10.68039142218364,"endHours":11.68039142218364,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:41","end":"12:41","startHours":11.68039142218364,"endHours":12.68039142218364,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:41","end":"13:41","startHours":12.68039142218364,"endHours":13.68039142218364,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:41","end":"14:41","startHours":13.68039142218364,"endHours":14.68039142218364,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:41","end":"15:41","startHours":14.68039142218364,"endHours":15.68039142218364,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:41","end":"16:41","startHours":15.68039142218364,"endHours":16.68039142218364,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:41","end":"17:41","startHours":16.68039142218364,"endHours":17.68039142218364,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:41","end":"18:41","startHours":17.68039142218364,"endHours":18.68039142218364,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:41","end":"19:41","startHours":18.68039142218364,"endHours":19.68039142218364,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:41","end":"20:41","startHours":19.68039142218364,"endHours":20.68039142218364,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:41","end":"21:41","startHours":20.68039142218364,"endHours":21.68039142218364,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:41","end":"22:41","startHours":21.68039142218364,"endHours":22.68039142218364,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:41","end":"23:41","startHours":22.68039142218364,"endHours":23.68039142218364,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:41","end":"00:41","startHours":23.68039142218364,"endHours":24.68039142218364,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:41","end":"01:41","startHours":24.68039142218364,"endHours":25.68039142218364,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:41","end":"02:41","startHours":25.68039142218364,"endHours":26.68039142218364,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:41","end":"03:41","startHours":26.68039142218364,"endHours":27.68039142218364,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:41","end":"04:41","startHours":27.68039142218364,"endHours":28.68039142218364,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:41","end":"05:41","startHours":28.68039142218364,"endHours":29.68039142218364,"planetary_lord":"Jupiter"}],"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":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"North","rahuVasa":"North-East","anandadiYoga":{"name":"Padma","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":14.849883277903023,"eotMinutes":2.785461189202204,"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 Caturdaśī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[{"id":"narasimha-jayanti","name":"Narasiṁha Jayantī","name_sanskrit":"नरसिंह जयन्ती","tradition":"Vaishnava","associated_deity":"Narasiṁha (avatar of Krishna)","deity_avatara_index":14,"significance":"Bhagavān Narasiṁha manifested to protect the bhakta Prahlāda. Krishna's fierce protective form.","vrata":true,"primary_observance":"Sandhyā (twilight) abhiṣekam; recitation of Narasiṁha-Stotra","detection":{"tithi_number":14,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":1,"related_chart":"narasimha","sources":["Bhāgavata Purāṇa 7.8"]},{"id":"chhinnamasta-jayanti","name":"Chhinnamastā Jayantī","name_sanskrit":"छिन्नमस्ता जयन्ती","tradition":"Shakta","associated_deity":"Devī Chhinnamastā (6th of 10 Mahāvidyās)","significance":"The 6th of the Daśa Mahāvidyās. Devī's self-decapitation form representing transcendence of ego.","vrata":false,"detection":{"tithi_number":14,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":5}],"todays_walk":{"walk":{"id":"narasimha-jayanti-walk","name":"Narasiṁha Jayantī Walk","name_sanskrit":"नरसिंह जयन्ती यात्रा","type":"festival","description":"Bhāgavata 7.8 (Prahlāda-Narasiṁha) + protective verses.","step_count":9,"url":"/walk/narasimha-jayanti-walk"},"reason":"Today is Narasiṁha Jayantī — its dedicated walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"vrindavan"},"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, 2045 CE · Vṛndāvana · Vidhyamitra","description":"April 30, 2045 CE for Vṛndāvana: Śukla Caturdaśī, sūryodaya 05:41, sūryāsta 18:52.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2045-04-30","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2045-04-30","sa":"https://sa.vidhyamitra.com/city/vrindavan/2045-04-30","hi":"https://hi.vidhyamitra.com/city/vrindavan/2045-04-30","x-default":"https://vidhyamitra.com/city/vrindavan/2045-04-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T02:30:33.910Z","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":"2026-06-03T02:30:33.910Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T02:30:33.910Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}