{"id":"vidhyamitra:city-day:vrindavan:2021-05-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2021-05-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2021-05-04","date_display":"May 4, 2021 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":2021,"month":5,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459338.770833,"kali_year":5123,"ahargana":1870873.2708,"sun":{"sidereal_longitude":19.6575,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":289.1291,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":269.4716,"elapsed_within_tithi_degrees":5.4716},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3,"moon_longitude":289.1291,"elapsed_within_degrees":9.1291},"yoga":{"number":24,"name":"Śukla","sum_longitude":308.7866},"karana":{"half_tithi_index":44,"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":2021,"month":5,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2459338.770833,"ahargana":1870873.2708,"kali_year":5123,"ayanamsa_lahiri":24.1511,"grahas":{"sun":{"sidereal_longitude":19.661230999999987,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":292.24323100000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false,"latitude":-3.7728},"mars":{"sidereal_longitude":71.99103100000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":35.440331000000015,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":304.606531,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":29.36913099999998,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":289.07793100000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":52.1308,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":232.1308,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":2021,"month":5,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459338.770833,"kali_year":5123,"ahargana":1870873.2708,"sun":{"sidereal_longitude":19.6575,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":289.1291,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":269.4716,"elapsed_within_tithi_degrees":5.4716},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3,"moon_longitude":289.1291,"elapsed_within_degrees":9.1291},"yoga":{"number":24,"name":"Śukla","sum_longitude":308.7866},"karana":{"half_tithi_index":44,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.773,"elongation":90.528},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.773,"opposition_distance":89.472}},"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":13.2784903465337,"dayLengthDisplay":"13 Hours 16 Mins 43 Secs","nightLengthDisplay":"10 Hours 43 Mins 17 Secs","moonriseLocal":"00:58","moonsetLocal":"11:55","rahuKala":{"name":"Rāhu Kāla","start":"15:35","end":"17:15","startHours":15.58802829299876,"endHours":17.24783958631547,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:57","end":"10:37","startHours":8.948783119731912,"endHours":10.608594413048625,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:16","end":"13:56","startHours":12.268405706365336,"endHours":13.928216999682048,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:44","end":"09:10","startHours":8.727474947289682,"endHours":9.17009129217414,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:11","end":"06:32","startHours":6.182430964204057,"endHours":6.5365240401116225,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:43","startHours":11.82578936148088,"endHours":12.711022051249792,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:52","end":"04:45","startHours":3.85869515356066,"endHours":4.7439278433295735,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:31","end":"05:38","startHours":4.522619670887345,"endHours":5.629160533098487,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:29","end":"15:22","startHours":14.481487430787618,"endHours":15.366720120556531,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:42","end":"19:06","startHours":18.707650879632187,"endHours":19.107650879632185,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:54","end":"19:28","startHours":18.907650879632186,"endHours":19.460921310737756,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:39","end":"20:24","startHours":18.657650879632186,"endHours":20.407650879632186,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:43","startHours":23.82578936148088,"endHours":24.711022051249792,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:38","end":"07:17","startHours":5.629160533098487,"endHours":7.2889718264151995,"quality":"inauspicious"},{"name":"Udveg","start":"07:17","end":"08:57","startHours":7.2889718264151995,"endHours":8.948783119731912,"quality":"inauspicious"},{"name":"Chala","start":"08:57","end":"10:37","startHours":8.948783119731912,"endHours":10.608594413048625,"quality":"neutral"},{"name":"Labha","start":"10:37","end":"12:16","startHours":10.608594413048625,"endHours":12.268405706365336,"quality":"auspicious"},{"name":"Amṛta","start":"12:16","end":"13:56","startHours":12.268405706365336,"endHours":13.928216999682048,"quality":"auspicious"},{"name":"Kāla","start":"13:56","end":"15:35","startHours":13.928216999682048,"endHours":15.58802829299876,"quality":"inauspicious"},{"name":"Śubha","start":"15:35","end":"17:15","startHours":15.58802829299876,"endHours":17.24783958631547,"quality":"auspicious"},{"name":"Roga","start":"17:15","end":"18:54","startHours":17.24783958631547,"endHours":18.907650879632186,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:54","end":"20:15","startHours":18.907650879632186,"endHours":20.247839586315475,"quality":"inauspicious"},{"name":"Śubha","start":"20:15","end":"21:35","startHours":20.247839586315475,"endHours":21.58802829299876,"quality":"auspicious"},{"name":"Roga","start":"21:35","end":"22:56","startHours":21.58802829299876,"endHours":22.92821699968205,"quality":"inauspicious"},{"name":"Udveg","start":"22:56","end":"00:16","startHours":22.92821699968205,"endHours":24.268405706365336,"quality":"inauspicious"},{"name":"Chala","start":"00:16","end":"01:37","startHours":24.268405706365336,"endHours":25.608594413048625,"quality":"neutral"},{"name":"Labha","start":"01:37","end":"02:57","startHours":25.608594413048625,"endHours":26.948783119731914,"quality":"auspicious"},{"name":"Amṛta","start":"02:57","end":"04:17","startHours":26.948783119731914,"endHours":28.2889718264152,"quality":"auspicious"},{"name":"Kāla","start":"04:17","end":"05:38","startHours":28.2889718264152,"endHours":29.629160533098485,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:38","end":"06:38","startHours":5.629160533098487,"endHours":6.629160533098487,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:38","end":"07:38","startHours":6.629160533098487,"endHours":7.629160533098487,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:38","end":"08:38","startHours":7.629160533098487,"endHours":8.629160533098487,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:38","end":"09:38","startHours":8.629160533098487,"endHours":9.629160533098487,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:38","end":"10:38","startHours":9.629160533098487,"endHours":10.629160533098487,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:38","end":"11:38","startHours":10.629160533098487,"endHours":11.629160533098487,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:38","end":"12:38","startHours":11.629160533098487,"endHours":12.629160533098487,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:38","end":"13:38","startHours":12.629160533098487,"endHours":13.629160533098487,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:38","end":"14:38","startHours":13.629160533098487,"endHours":14.629160533098487,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:38","end":"15:38","startHours":14.629160533098487,"endHours":15.629160533098487,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:38","end":"16:38","startHours":15.629160533098487,"endHours":16.629160533098485,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:38","end":"17:38","startHours":16.629160533098485,"endHours":17.629160533098485,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:38","end":"18:38","startHours":17.629160533098485,"endHours":18.629160533098485,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:38","end":"19:38","startHours":18.629160533098485,"endHours":19.629160533098485,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:38","end":"20:38","startHours":19.629160533098485,"endHours":20.629160533098485,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:38","end":"21:38","startHours":20.629160533098485,"endHours":21.629160533098485,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:38","end":"22:38","startHours":21.629160533098485,"endHours":22.629160533098485,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:38","end":"23:38","startHours":22.629160533098485,"endHours":23.629160533098485,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:38","end":"00:38","startHours":23.629160533098485,"endHours":24.629160533098485,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:38","end":"01:38","startHours":24.629160533098485,"endHours":25.629160533098485,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:38","end":"02:38","startHours":25.629160533098485,"endHours":26.629160533098485,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:38","end":"03:38","startHours":26.629160533098485,"endHours":27.629160533098485,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:38","end":"04:38","startHours":27.629160533098485,"endHours":28.629160533098485,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:38","end":"05:38","startHours":28.629160533098485,"endHours":29.629160533098485,"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"},"drikRitu":"Vasanta (Spring) (Drik)","vedicRitu":"Vasanta (Spring)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":15.982848123124201,"eotMinutes":3.258457618079846,"ayanamsa":24.1511}},"calendars":{"vikram_samvat":2078,"vikram_samvatsara":"Ānanda","saka_samvat":1943,"saka_samvatsara":"Plava","bengali_samvat":1428,"malayalam_era":1197,"nanakshahi_year":552,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Kṛṣṇa Pakṣa","solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Kṛṣṇa Aṣṭamī · Vikram 2078 Ānanda · Śaka 1943 Plava"},"festivals":[{"id":"mesha-sankranti","name":"Meṣa Saṅkrānti (Vaiśākhī / Vishu / Pohelā Boishākh / Bihu)","name_sanskrit":"मेष सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Aries; solar new year. Regional: Vaiśākhī (Punjab) · Vishu (Kerala) · Pohelā Boishākh (Bengal) · Bihu (Assam) · Tamil Puthāṇḍu.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":1},{"id":"baisakhi","name":"Baisakhi (Vaiśākhī)","name_sanskrit":"वैशाखी","tradition":"Regional","associated_deity":"Sūrya + Khalsa Pantha (Sikh)","significance":"Punjab New Year + Sikh Khalsa founding day.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":2}],"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":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Kṛṣṇa Aṣṭamī","url":"/day/-3226-07-09","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 4, 2021 CE · Vṛndāvana · Vidhyamitra","description":"May 4, 2021 CE for Vṛndāvana: Kṛṣṇa Aṣṭamī, sūryodaya 05:38, sūryāsta 18:54.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2021-05-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2021-05-04","sa":"https://sa.vidhyamitra.com/city/vrindavan/2021-05-04","hi":"https://hi.vidhyamitra.com/city/vrindavan/2021-05-04","x-default":"https://vidhyamitra.com/city/vrindavan/2021-05-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T23:56:02.343Z","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":"2026-05-14T23:56:02.343Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T23:56:02.343Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}