{"id":"vidhyamitra:city-day:vrindavan:2129-04-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2129-04-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2129-04-21","date_display":"April 21, 2129 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":2129,"month":4,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2498771.770833,"kali_year":5231,"ahargana":1910306.2708,"sun":{"sidereal_longitude":5.1833,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":34.828,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":29.6448,"elapsed_within_tithi_degrees":5.6448},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3,"moon_longitude":34.828,"elapsed_within_degrees":8.1614},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":40.0113},"karana":{"half_tithi_index":4,"name":"Taitila"},"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":2129,"month":4,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2498771.770833,"ahargana":1910306.2708,"kali_year":5231,"ayanamsa_lahiri":25.6592,"grahas":{"sun":{"sidereal_longitude":5.370499999999993,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":33.187400000000025,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false,"latitude":-4.4971},"mars":{"sidereal_longitude":269.60220000000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":357.9588,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":336.7037,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":317.8479,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":170.39869999999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":122.7807,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":302.7807,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","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":2129,"month":4,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2498771.770833,"kali_year":5231,"ahargana":1910306.2708,"sun":{"sidereal_longitude":5.1833,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":34.828,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":29.6448,"elapsed_within_tithi_degrees":5.6448},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3,"moon_longitude":34.828,"elapsed_within_degrees":8.1614},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":40.0113},"karana":{"half_tithi_index":4,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.497,"elongation":29.645},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.497,"opposition_distance":150.355}},"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":"05:49","sunsetLocal":"18:47","solarNoonLocal":"12:18","dayLengthHours":12.965927964311792,"dayLengthDisplay":"12 Hours 57 Mins 57 Secs","nightLengthDisplay":"11 Hours 02 Mins 03 Secs","moonriseLocal":"07:23","moonsetLocal":"20:56","rahuKala":{"name":"Rāhu Kāla","start":"13:55","end":"15:33","startHours":13.923665514852939,"endHours":15.544406510391912,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:49","end":"07:26","startHours":5.819960537158068,"endHours":7.440701532697043,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:04","end":"10:41","startHours":9.061442528236016,"endHours":10.682183523774992,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:51","end":"09:17","startHours":8.84534372883082,"endHours":9.277541327641213,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:22","end":"06:42","startHours":6.3602075356710595,"endHours":6.705965614719374,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:52","end":"12:44","startHours":11.87072692050357,"endHours":12.735122118124357,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:05","end":"04:57","startHours":4.091170141916496,"endHours":4.955565339537282,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:44","end":"05:49","startHours":4.739466540132086,"endHours":5.819960537158068,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:28","end":"15:20","startHours":14.46391251336593,"endHours":15.328307710986715,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:35","end":"18:59","startHours":18.58588850146986,"endHours":18.98588850146986,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:47","end":"19:20","startHours":18.78588850146986,"endHours":19.32613549998285,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:32","end":"20:17","startHours":18.53588850146986,"endHours":20.28588850146986,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:52","end":"00:44","startHours":23.870726920503568,"endHours":24.735122118124355,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:49","end":"07:26","startHours":5.819960537158068,"endHours":7.440701532697043,"quality":"auspicious"},{"name":"Roga","start":"07:26","end":"09:04","startHours":7.440701532697043,"endHours":9.061442528236016,"quality":"inauspicious"},{"name":"Udveg","start":"09:04","end":"10:41","startHours":9.061442528236016,"endHours":10.682183523774992,"quality":"inauspicious"},{"name":"Chala","start":"10:41","end":"12:18","startHours":10.682183523774992,"endHours":12.302924519313965,"quality":"neutral"},{"name":"Labha","start":"12:18","end":"13:55","startHours":12.302924519313965,"endHours":13.923665514852939,"quality":"auspicious"},{"name":"Amṛta","start":"13:55","end":"15:33","startHours":13.923665514852939,"endHours":15.544406510391912,"quality":"auspicious"},{"name":"Kāla","start":"15:33","end":"17:10","startHours":15.544406510391912,"endHours":17.165147505930886,"quality":"inauspicious"},{"name":"Śubha","start":"17:10","end":"18:47","startHours":17.165147505930886,"endHours":18.78588850146986,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:47","end":"20:10","startHours":18.78588850146986,"endHours":20.165147505930886,"quality":"auspicious"},{"name":"Kāla","start":"20:10","end":"21:33","startHours":20.165147505930886,"endHours":21.544406510391912,"quality":"inauspicious"},{"name":"Śubha","start":"21:33","end":"22:55","startHours":21.544406510391912,"endHours":22.923665514852935,"quality":"auspicious"},{"name":"Roga","start":"22:55","end":"00:18","startHours":22.923665514852935,"endHours":24.30292451931396,"quality":"inauspicious"},{"name":"Udveg","start":"00:18","end":"01:41","startHours":24.30292451931396,"endHours":25.682183523774988,"quality":"inauspicious"},{"name":"Chala","start":"01:41","end":"03:04","startHours":25.682183523774988,"endHours":27.061442528236014,"quality":"neutral"},{"name":"Labha","start":"03:04","end":"04:26","startHours":27.061442528236014,"endHours":28.44070153269704,"quality":"auspicious"},{"name":"Amṛta","start":"04:26","end":"05:49","startHours":28.44070153269704,"endHours":29.819960537158067,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:49","end":"06:49","startHours":5.819960537158068,"endHours":6.819960537158068,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:49","end":"07:49","startHours":6.819960537158068,"endHours":7.819960537158068,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:49","end":"08:49","startHours":7.819960537158068,"endHours":8.819960537158067,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:49","end":"09:49","startHours":8.819960537158067,"endHours":9.819960537158067,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:49","end":"10:49","startHours":9.819960537158067,"endHours":10.819960537158067,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:49","end":"11:49","startHours":10.819960537158067,"endHours":11.819960537158067,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:49","end":"12:49","startHours":11.819960537158067,"endHours":12.819960537158067,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:49","end":"13:49","startHours":12.819960537158067,"endHours":13.819960537158067,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:49","end":"14:49","startHours":13.819960537158067,"endHours":14.819960537158067,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:49","end":"15:49","startHours":14.819960537158067,"endHours":15.819960537158067,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:49","end":"16:49","startHours":15.819960537158067,"endHours":16.819960537158067,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:49","end":"17:49","startHours":16.819960537158067,"endHours":17.819960537158067,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:49","end":"18:49","startHours":17.819960537158067,"endHours":18.819960537158067,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:49","end":"19:49","startHours":18.819960537158067,"endHours":19.819960537158067,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:49","end":"20:49","startHours":19.819960537158067,"endHours":20.819960537158067,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:49","end":"21:49","startHours":20.819960537158067,"endHours":21.819960537158067,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:49","end":"22:49","startHours":21.819960537158067,"endHours":22.819960537158067,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:49","end":"23:49","startHours":22.819960537158067,"endHours":23.819960537158067,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:49","end":"00:49","startHours":23.819960537158067,"endHours":24.819960537158067,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:49","end":"01:49","startHours":24.819960537158067,"endHours":25.819960537158067,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:49","end":"02:49","startHours":25.819960537158067,"endHours":26.819960537158067,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:49","end":"03:49","startHours":26.819960537158067,"endHours":27.819960537158067,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:49","end":"04:49","startHours":27.819960537158067,"endHours":28.819960537158067,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:49","end":"05:49","startHours":28.819960537158067,"endHours":29.819960537158067,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","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":11.830907239822654,"eotMinutes":1.1873288411622274,"ayanamsa":25.6592}},"calendars":{"vikram_samvat":2186,"vikram_samvatsara":"Śubhakṛt","saka_samvat":2051,"saka_samvatsara":"Virodhi","bengali_samvat":1536,"malayalam_era":1305,"nanakshahi_year":660,"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 Tṛtīyā · Vikram 2186 Śubhakṛt · Śaka 2051 Virodhi"},"festivals":[{"id":"akshaya-tritiya","name":"Akṣaya Tṛtīyā","name_sanskrit":"अक्षय तृतीया","tradition":"Pan-Hindu","significance":"\"Inexhaustible third\"; auspicious for any new venture.","vrata":false,"detection":{"tithi_number":3,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":1},{"id":"parashurama-jayanti","name":"Paraśurāma Jayantī","name_sanskrit":"परशुराम जयन्ती","tradition":"Vaishnava","associated_deity":"Paraśurāma (6th daśāvatāra of Krishna)","deity_avatara_index":16,"significance":"Paraśurāma's manifestation; ciranjīvi-pratiṣṭhā. Coincides with Akṣaya Tṛtīyā.","vrata":true,"detection":{"tithi_number":3,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":2,"sources":["Bhāgavata 9.15-16"]}],"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":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","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 April 21, 2129 CE · Vṛndāvana · Vidhyamitra","description":"April 21, 2129 CE for Vṛndāvana: Śukla Tṛtīyā, sūryodaya 05:49, sūryāsta 18:47.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2129-04-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2129-04-21","sa":"https://sa.vidhyamitra.com/city/vrindavan/2129-04-21","hi":"https://hi.vidhyamitra.com/city/vrindavan/2129-04-21","x-default":"https://vidhyamitra.com/city/vrindavan/2129-04-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T20:35:29.922Z","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":"2026-06-01T20:35:29.922Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T20:35:29.922Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}