{"id":"vidhyamitra:city-day:vrindavan:2072-05-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2072-05-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2072-05-03","date_display":"May 3, 2072 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":2072,"month":5,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2477965.770833,"kali_year":5174,"ahargana":1889500.2708,"sun":{"sidereal_longitude":18.5035,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":207.4945,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":188.9911,"elapsed_within_tithi_degrees":8.9911},"nakshatra":{"number":16,"name":"Viśākhā","pada":3,"moon_longitude":207.4945,"elapsed_within_degrees":7.4945},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":225.998},"karana":{"half_tithi_index":31,"name":"Kaulava"},"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":2072,"month":5,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2477965.770833,"ahargana":1889500.2708,"kali_year":5174,"ayanamsa_lahiri":24.8635,"grahas":{"sun":{"sidereal_longitude":18.621143000000018,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":205.89254300000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false,"latitude":3.9838},"mars":{"sidereal_longitude":98.39244300000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":4.456543000000011,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":44.24344300000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":12.603043000000014,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":194.48264300000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":145.1827,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":325.1827,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","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":"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":2072,"month":5,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2477965.770833,"kali_year":5174,"ahargana":1889500.2708,"sun":{"sidereal_longitude":18.5035,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":207.4945,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":188.9911,"elapsed_within_tithi_degrees":8.9911},"nakshatra":{"number":16,"name":"Viśākhā","pada":3,"moon_longitude":207.4945,"elapsed_within_degrees":7.4945},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":225.998},"karana":{"half_tithi_index":31,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.984,"elongation":171.009},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.984,"opposition_distance":8.991}},"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":"05:38","sunsetLocal":"18:54","solarNoonLocal":"12:16","dayLengthHours":13.27093928390256,"dayLengthDisplay":"13 Hours 16 Mins 15 Secs","nightLengthDisplay":"10 Hours 43 Mins 45 Secs","moonriseLocal":"19:21","moonsetLocal":"06:09","rahuKala":{"name":"Rāhu Kāla","start":"15:35","end":"17:15","startHours":15.587871679666954,"endHours":17.246739090154772,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:57","end":"10:37","startHours":8.952402037715673,"endHours":10.611269448203494,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:16","end":"13:56","startHours":12.270136858691313,"endHours":13.929004269179135,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:44","end":"09:10","startHours":8.731219716317298,"endHours":9.173584359114049,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:11","end":"06:32","startHours":6.187623020235973,"endHours":6.541514734473375,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:43","startHours":11.827772215894562,"endHours":12.712501501488067,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:52","end":"04:45","startHours":3.8652086455530252,"endHours":4.74993793114653,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:32","end":"05:38","startHours":4.528755609748153,"endHours":5.634667216740033,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:29","end":"15:22","startHours":14.481960072675076,"endHours":15.36668935826858,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:42","end":"19:06","startHours":18.705606500642595,"endHours":19.105606500642594,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:54","end":"19:28","startHours":18.905606500642595,"endHours":19.458562304138535,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:39","end":"20:24","startHours":18.655606500642595,"endHours":20.405606500642595,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:43","startHours":23.827772215894566,"endHours":24.712501501488067,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:38","end":"07:18","startHours":5.634667216740033,"endHours":7.293534627227853,"quality":"inauspicious"},{"name":"Udveg","start":"07:18","end":"08:57","startHours":7.293534627227853,"endHours":8.952402037715673,"quality":"inauspicious"},{"name":"Chala","start":"08:57","end":"10:37","startHours":8.952402037715673,"endHours":10.611269448203494,"quality":"neutral"},{"name":"Labha","start":"10:37","end":"12:16","startHours":10.611269448203494,"endHours":12.270136858691313,"quality":"auspicious"},{"name":"Amṛta","start":"12:16","end":"13:56","startHours":12.270136858691313,"endHours":13.929004269179135,"quality":"auspicious"},{"name":"Kāla","start":"13:56","end":"15:35","startHours":13.929004269179135,"endHours":15.587871679666954,"quality":"inauspicious"},{"name":"Śubha","start":"15:35","end":"17:15","startHours":15.587871679666954,"endHours":17.246739090154772,"quality":"auspicious"},{"name":"Roga","start":"17:15","end":"18:54","startHours":17.246739090154772,"endHours":18.905606500642595,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:54","end":"20:15","startHours":18.905606500642595,"endHours":20.246739090154776,"quality":"inauspicious"},{"name":"Śubha","start":"20:15","end":"21:35","startHours":20.246739090154776,"endHours":21.587871679666954,"quality":"auspicious"},{"name":"Roga","start":"21:35","end":"22:56","startHours":21.587871679666954,"endHours":22.929004269179135,"quality":"inauspicious"},{"name":"Udveg","start":"22:56","end":"00:16","startHours":22.929004269179135,"endHours":24.270136858691316,"quality":"inauspicious"},{"name":"Chala","start":"00:16","end":"01:37","startHours":24.270136858691316,"endHours":25.611269448203494,"quality":"neutral"},{"name":"Labha","start":"01:37","end":"02:57","startHours":25.611269448203494,"endHours":26.952402037715675,"quality":"auspicious"},{"name":"Amṛta","start":"02:57","end":"04:18","startHours":26.952402037715675,"endHours":28.293534627227857,"quality":"auspicious"},{"name":"Kāla","start":"04:18","end":"05:38","startHours":28.293534627227857,"endHours":29.634667216740034,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:38","end":"06:38","startHours":5.634667216740033,"endHours":6.634667216740033,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:38","end":"07:38","startHours":6.634667216740033,"endHours":7.634667216740033,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:38","end":"08:38","startHours":7.634667216740033,"endHours":8.634667216740034,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:38","end":"09:38","startHours":8.634667216740034,"endHours":9.634667216740034,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:38","end":"10:38","startHours":9.634667216740034,"endHours":10.634667216740034,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:38","end":"11:38","startHours":10.634667216740034,"endHours":11.634667216740034,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:38","end":"12:38","startHours":11.634667216740034,"endHours":12.634667216740034,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:38","end":"13:38","startHours":12.634667216740034,"endHours":13.634667216740034,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:38","end":"14:38","startHours":13.634667216740034,"endHours":14.634667216740034,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:38","end":"15:38","startHours":14.634667216740034,"endHours":15.634667216740034,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:38","end":"16:38","startHours":15.634667216740034,"endHours":16.634667216740034,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:38","end":"17:38","startHours":16.634667216740034,"endHours":17.634667216740034,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:38","end":"18:38","startHours":17.634667216740034,"endHours":18.634667216740034,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:38","end":"19:38","startHours":18.634667216740034,"endHours":19.634667216740034,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:38","end":"20:38","startHours":19.634667216740034,"endHours":20.634667216740034,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:38","end":"21:38","startHours":20.634667216740034,"endHours":21.634667216740034,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:38","end":"22:38","startHours":21.634667216740034,"endHours":22.634667216740034,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:38","end":"23:38","startHours":22.634667216740034,"endHours":23.634667216740034,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:38","end":"00:38","startHours":23.634667216740034,"endHours":24.634667216740034,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:38","end":"01:38","startHours":24.634667216740034,"endHours":25.634667216740034,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:38","end":"02:38","startHours":25.634667216740034,"endHours":26.634667216740034,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:38","end":"03:38","startHours":26.634667216740034,"endHours":27.634667216740034,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:38","end":"04:38","startHours":27.634667216740034,"endHours":28.634667216740034,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:38","end":"05:38","startHours":28.634667216740034,"endHours":29.634667216740034,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"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":"North (Uttara)","chandraVasa":"North","rahuVasa":"North","anandadiYoga":{"name":"Mātaṇga","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":15.884773372880193,"eotMinutes":3.154588478521171,"ayanamsa":24.8635}},"calendars":{"vikram_samvat":2129,"vikram_samvatsara":"Viśvāvasu","saka_samvat":1994,"saka_samvatsara":"Nandana","bengali_samvat":1479,"malayalam_era":1248,"nanakshahi_year":603,"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 Pratipada · Vikram 2129 Viśvāvasu · Śaka 1994 Nandana"},"festivals":[{"id":"narada-jayanti","name":"Bhagavān Nārada Jayantī","name_sanskrit":"भगवान् नारद जयन्ती","tradition":"Vaishnava","associated_deity":"Devarṣi Nārada (ādi-bhakta · Vyāsa's guru)","significance":"Manifestation of Devarṣi Nārada — ādi-bhakta and tri-loka-saṅcāri who instructed Vyāsa to compose Śrīmad Bhāgavata. Without Nārada, no Bhāgavata; without Bhāgavata, no Krishna-tattva-pratiṣṭhā in Kali Yuga. Falls on Vaiśākha Kṛṣṇa Pratipadā (day after Buddha Pūrṇimā).","vrata":true,"primary_observance":"Recitation of Nārada-Bhakti-Sūtra; meditation on Krishna as taught by Nārada to Vyāsa (Bhāgavata 1.5)","detection":{"tithi_number":16,"tithi_paksha":"Kṛṣṇa","lunar_month":"Vaiśākha","lunar_month_system":"amanta"},"precedence":1,"sources":["Bhāgavata Purāṇa 1.5-6 (Nārada-Vyāsa-saṁvāda)","Nārada-Bhakti-Sūtra"]}],"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":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Viśākhā","url":"/day/-0562-04-11","relevance":0.5}]},"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 May 3, 2072 CE · Vṛndāvana · Vidhyamitra","description":"May 3, 2072 CE for Vṛndāvana: Kṛṣṇa Pratipada, sūryodaya 05:38, sūryāsta 18:54.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2072-05-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2072-05-03","sa":"https://sa.vidhyamitra.com/city/vrindavan/2072-05-03","hi":"https://hi.vidhyamitra.com/city/vrindavan/2072-05-03","x-default":"https://vidhyamitra.com/city/vrindavan/2072-05-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T19:37:03.633Z","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":"2026-06-01T19:37:03.633Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T19:37:03.633Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}