{"id":"vidhyamitra:city-day:vrindavan:2176-04-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2176-04-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2176-04-20","date_display":"April 20, 2176 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":2176,"month":4,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2515937.770833,"kali_year":5278,"ahargana":1927472.2708,"sun":{"sidereal_longitude":4.0526,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":137.7916,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":133.739,"elapsed_within_tithi_degrees":1.739},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2,"moon_longitude":137.7916,"elapsed_within_degrees":4.4582},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":141.8441},"karana":{"half_tithi_index":22,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2176,"month":4,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2515937.770833,"ahargana":1927472.2708,"kali_year":5278,"ayanamsa_lahiri":26.3158,"grahas":{"sun":{"sidereal_longitude":4.345532999999989,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":139.28423299999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false,"latitude":-1.868},"mars":{"sidereal_longitude":263.5303329999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":336.325233,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":322.606933,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":1.1974329999999895,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":13.964533000000017,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":293.2434,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":113.2434,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":2176,"month":4,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2515937.770833,"kali_year":5278,"ahargana":1927472.2708,"sun":{"sidereal_longitude":4.0526,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":137.7916,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":133.739,"elapsed_within_tithi_degrees":1.739},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2,"moon_longitude":137.7916,"elapsed_within_degrees":4.4582},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":141.8441},"karana":{"half_tithi_index":22,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.868,"elongation":133.739},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.868,"opposition_distance":46.261}},"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":"05:50","sunsetLocal":"18:47","solarNoonLocal":"12:18","dayLengthHours":12.956462405999622,"dayLengthDisplay":"12 Hours 57 Mins 23 Secs","nightLengthDisplay":"11 Hours 02 Mins 37 Secs","moonriseLocal":"15:04","moonsetLocal":"03:33","rahuKala":{"name":"Rāhu Kāla","start":"09:04","end":"10:41","startHours":9.067468340739413,"endHours":10.687026141489365,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:56","end":"15:33","startHours":13.926141742989271,"endHours":15.545699543739223,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:50","end":"07:27","startHours":5.828352739239508,"endHours":7.4479105399894605,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:51","end":"09:17","startHours":8.851527300639418,"endHours":9.283409380839407,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:22","end":"06:43","startHours":6.368205339489492,"endHours":6.7137110036494825,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:52","end":"12:44","startHours":11.87470186203933,"endHours":12.738466022439304,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:06","end":"04:58","startHours":4.100824418439558,"endHours":4.964588578839533,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:45","end":"05:50","startHours":4.748647538739539,"endHours":5.828352739239508,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:28","end":"15:20","startHours":14.465994343239254,"endHours":15.329758503639228,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:35","end":"18:59","startHours":18.58481514523913,"endHours":18.98481514523913,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:47","end":"19:19","startHours":18.78481514523913,"endHours":19.324667745489112,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:32","end":"20:17","startHours":18.53481514523913,"endHours":20.28481514523913,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:52","end":"00:44","startHours":23.87470186203933,"endHours":24.738466022439304,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:50","end":"07:27","startHours":5.828352739239508,"endHours":7.4479105399894605,"quality":"inauspicious"},{"name":"Śubha","start":"07:27","end":"09:04","startHours":7.4479105399894605,"endHours":9.067468340739413,"quality":"auspicious"},{"name":"Roga","start":"09:04","end":"10:41","startHours":9.067468340739413,"endHours":10.687026141489365,"quality":"inauspicious"},{"name":"Udveg","start":"10:41","end":"12:18","startHours":10.687026141489365,"endHours":12.306583942239318,"quality":"inauspicious"},{"name":"Chala","start":"12:18","end":"13:56","startHours":12.306583942239318,"endHours":13.926141742989271,"quality":"neutral"},{"name":"Labha","start":"13:56","end":"15:33","startHours":13.926141742989271,"endHours":15.545699543739223,"quality":"auspicious"},{"name":"Amṛta","start":"15:33","end":"17:10","startHours":15.545699543739223,"endHours":17.165257344489177,"quality":"auspicious"},{"name":"Kāla","start":"17:10","end":"18:47","startHours":17.165257344489177,"endHours":18.78481514523913,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:47","end":"20:10","startHours":18.78481514523913,"endHours":20.165257344489177,"quality":"auspicious"},{"name":"Amṛta","start":"20:10","end":"21:33","startHours":20.165257344489177,"endHours":21.545699543739225,"quality":"auspicious"},{"name":"Kāla","start":"21:33","end":"22:56","startHours":21.545699543739225,"endHours":22.926141742989273,"quality":"inauspicious"},{"name":"Śubha","start":"22:56","end":"00:18","startHours":22.926141742989273,"endHours":24.306583942239318,"quality":"auspicious"},{"name":"Roga","start":"00:18","end":"01:41","startHours":24.306583942239318,"endHours":25.687026141489365,"quality":"inauspicious"},{"name":"Udveg","start":"01:41","end":"03:04","startHours":25.687026141489365,"endHours":27.067468340739413,"quality":"inauspicious"},{"name":"Chala","start":"03:04","end":"04:27","startHours":27.067468340739413,"endHours":28.447910539989458,"quality":"neutral"},{"name":"Labha","start":"04:27","end":"05:50","startHours":28.447910539989458,"endHours":29.828352739239506,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:50","end":"06:50","startHours":5.828352739239508,"endHours":6.828352739239508,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:50","end":"07:50","startHours":6.828352739239508,"endHours":7.828352739239508,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:50","end":"08:50","startHours":7.828352739239508,"endHours":8.828352739239508,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:50","end":"09:50","startHours":8.828352739239508,"endHours":9.828352739239508,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:50","end":"10:50","startHours":9.828352739239508,"endHours":10.828352739239508,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:50","end":"11:50","startHours":10.828352739239508,"endHours":11.828352739239508,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:50","end":"12:50","startHours":11.828352739239508,"endHours":12.828352739239508,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:50","end":"13:50","startHours":12.828352739239508,"endHours":13.828352739239508,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:50","end":"14:50","startHours":13.828352739239508,"endHours":14.828352739239508,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:50","end":"15:50","startHours":14.828352739239508,"endHours":15.828352739239508,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:50","end":"16:50","startHours":15.828352739239508,"endHours":16.828352739239506,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:50","end":"17:50","startHours":16.828352739239506,"endHours":17.828352739239506,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:50","end":"18:50","startHours":17.828352739239506,"endHours":18.828352739239506,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:50","end":"19:50","startHours":18.828352739239506,"endHours":19.828352739239506,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:50","end":"20:50","startHours":19.828352739239506,"endHours":20.828352739239506,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:50","end":"21:50","startHours":20.828352739239506,"endHours":21.828352739239506,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:50","end":"22:50","startHours":21.828352739239506,"endHours":22.828352739239506,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:50","end":"23:50","startHours":22.828352739239506,"endHours":23.828352739239506,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:50","end":"00:50","startHours":23.828352739239506,"endHours":24.828352739239506,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:50","end":"01:50","startHours":24.828352739239506,"endHours":25.828352739239506,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:50","end":"02:50","startHours":25.828352739239506,"endHours":26.828352739239506,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:50","end":"03:50","startHours":26.828352739239506,"endHours":27.828352739239506,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:50","end":"04:50","startHours":27.828352739239506,"endHours":28.828352739239506,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:50","end":"05:50","startHours":28.828352739239506,"endHours":29.828352739239506,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"West","rahuVasa":"East","anandadiYoga":{"name":"Dhvaja","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":11.702419538116118,"eotMinutes":0.9677634656409275,"ayanamsa":26.3158}},"calendars":{"vikram_samvat":2233,"vikram_samvatsara":"Virodhi","saka_samvat":2098,"saka_samvatsara":"Dhātṛ","bengali_samvat":1583,"malayalam_era":1352,"nanakshahi_year":707,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Caitra","lunar_month_amanta":"Caitra","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":"Caitra Śukla Dvādaśī · Vikram 2233 Virodhi · Śaka 2098 Dhātṛ"},"festivals":[],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's 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 20, 2176 CE · Vṛndāvana · Vidhyamitra","description":"April 20, 2176 CE for Vṛndāvana: Śukla Dvādaśī, sūryodaya 05:50, sūryāsta 18:47.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2176-04-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2176-04-20","sa":"https://sa.vidhyamitra.com/city/vrindavan/2176-04-20","hi":"https://hi.vidhyamitra.com/city/vrindavan/2176-04-20","x-default":"https://vidhyamitra.com/city/vrindavan/2176-04-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T07:20:36.972Z","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":"2026-06-01T07:20:36.972Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T07:20:36.972Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}