{"id":"vidhyamitra:city-day:vrindavan:2016-04-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2016-04-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2016-04-20","date_display":"April 20, 2016 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":2016,"month":4,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457498.770833,"kali_year":5118,"ahargana":1869033.2708,"sun":{"sidereal_longitude":6.3888,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":162.0864,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":155.6975,"elapsed_within_tithi_degrees":11.6975},"nakshatra":{"number":13,"name":"Hasta","pada":1,"moon_longitude":162.0864,"elapsed_within_degrees":2.0864},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":168.4752},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2016,"month":4,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2457498.770833,"ahargana":1869033.2708,"kali_year":5118,"ayanamsa_lahiri":24.0807,"grahas":{"sun":{"sidereal_longitude":6.317232999999987,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":162.64563299999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false,"latitude":0.9702},"mars":{"sidereal_longitude":224.56253300000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":25.867032999999992,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":139.070633,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":true},"venus":{"sidereal_longitude":353.429133,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":231.592533,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":149.6229,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":329.6229,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","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":2016,"month":4,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457498.770833,"kali_year":5118,"ahargana":1869033.2708,"sun":{"sidereal_longitude":6.3888,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":162.0864,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":155.6975,"elapsed_within_tithi_degrees":11.6975},"nakshatra":{"number":13,"name":"Hasta","pada":1,"moon_longitude":162.0864,"elapsed_within_degrees":2.0864},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":168.4752},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.97,"elongation":155.698},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.97,"opposition_distance":24.302}},"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":12.949681328121613,"dayLengthDisplay":"12 Hours 56 Mins 59 Secs","nightLengthDisplay":"11 Hours 03 Mins 01 Secs","moonriseLocal":"16:47","moonsetLocal":"04:41","rahuKala":{"name":"Rāhu Kāla","start":"12:18","end":"13:56","startHours":12.306583942239318,"endHours":13.92529410825452,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:27","end":"09:04","startHours":7.4504534441937125,"endHours":9.069163610208914,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:41","end":"12:18","startHours":10.687873776224116,"endHours":12.306583942239318,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:51","end":"09:17","startHours":8.853335588073554,"endHours":9.284991632344274,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:22","end":"06:43","startHours":6.371313333516912,"endHours":6.716638168933488,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:52","end":"12:44","startHours":11.874927897968597,"endHours":12.738239986510038,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:06","end":"04:58","startHours":4.105119101095629,"endHours":4.968431189637069,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:45","end":"05:50","startHours":4.752603167501709,"endHours":5.831743278178511,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:28","end":"15:20","startHours":14.464864163592921,"endHours":15.328176252134362,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:35","end":"18:59","startHours":18.581424606300125,"endHours":18.981424606300124,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:47","end":"19:19","startHours":18.781424606300124,"endHours":19.320994661638526,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:32","end":"20:17","startHours":18.531424606300124,"endHours":20.281424606300124,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:52","end":"00:44","startHours":23.874927897968597,"endHours":24.738239986510038,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:50","end":"07:27","startHours":5.831743278178511,"endHours":7.4504534441937125,"quality":"auspicious"},{"name":"Amṛta","start":"07:27","end":"09:04","startHours":7.4504534441937125,"endHours":9.069163610208914,"quality":"auspicious"},{"name":"Kāla","start":"09:04","end":"10:41","startHours":9.069163610208914,"endHours":10.687873776224116,"quality":"inauspicious"},{"name":"Śubha","start":"10:41","end":"12:18","startHours":10.687873776224116,"endHours":12.306583942239318,"quality":"auspicious"},{"name":"Roga","start":"12:18","end":"13:56","startHours":12.306583942239318,"endHours":13.92529410825452,"quality":"inauspicious"},{"name":"Udveg","start":"13:56","end":"15:33","startHours":13.92529410825452,"endHours":15.54400427426972,"quality":"inauspicious"},{"name":"Chala","start":"15:33","end":"17:10","startHours":15.54400427426972,"endHours":17.162714440284923,"quality":"neutral"},{"name":"Labha","start":"17:10","end":"18:47","startHours":17.162714440284923,"endHours":18.781424606300124,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:47","end":"20:10","startHours":18.781424606300124,"endHours":20.162714440284923,"quality":"inauspicious"},{"name":"Chala","start":"20:10","end":"21:33","startHours":20.162714440284923,"endHours":21.54400427426972,"quality":"neutral"},{"name":"Labha","start":"21:33","end":"22:56","startHours":21.54400427426972,"endHours":22.92529410825452,"quality":"auspicious"},{"name":"Amṛta","start":"22:56","end":"00:18","startHours":22.92529410825452,"endHours":24.306583942239318,"quality":"auspicious"},{"name":"Kāla","start":"00:18","end":"01:41","startHours":24.306583942239318,"endHours":25.687873776224116,"quality":"inauspicious"},{"name":"Śubha","start":"01:41","end":"03:04","startHours":25.687873776224116,"endHours":27.069163610208914,"quality":"auspicious"},{"name":"Roga","start":"03:04","end":"04:27","startHours":27.069163610208914,"endHours":28.450453444193712,"quality":"inauspicious"},{"name":"Udveg","start":"04:27","end":"05:50","startHours":28.450453444193712,"endHours":29.83174327817851,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:50","end":"06:50","startHours":5.831743278178511,"endHours":6.831743278178511,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:50","end":"07:50","startHours":6.831743278178511,"endHours":7.831743278178511,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:50","end":"08:50","startHours":7.831743278178511,"endHours":8.83174327817851,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:50","end":"09:50","startHours":8.83174327817851,"endHours":9.83174327817851,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:50","end":"10:50","startHours":9.83174327817851,"endHours":10.83174327817851,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:50","end":"11:50","startHours":10.83174327817851,"endHours":11.83174327817851,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:50","end":"12:50","startHours":11.83174327817851,"endHours":12.83174327817851,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:50","end":"13:50","startHours":12.83174327817851,"endHours":13.83174327817851,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:50","end":"14:50","startHours":13.83174327817851,"endHours":14.83174327817851,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:50","end":"15:50","startHours":14.83174327817851,"endHours":15.83174327817851,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:50","end":"16:50","startHours":15.83174327817851,"endHours":16.83174327817851,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:50","end":"17:50","startHours":16.83174327817851,"endHours":17.83174327817851,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:50","end":"18:50","startHours":17.83174327817851,"endHours":18.83174327817851,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:50","end":"19:50","startHours":18.83174327817851,"endHours":19.83174327817851,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:50","end":"20:50","startHours":19.83174327817851,"endHours":20.83174327817851,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:50","end":"21:50","startHours":20.83174327817851,"endHours":21.83174327817851,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:50","end":"22:50","startHours":21.83174327817851,"endHours":22.83174327817851,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:50","end":"23:50","startHours":22.83174327817851,"endHours":23.83174327817851,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:50","end":"00:50","startHours":23.83174327817851,"endHours":24.83174327817851,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:50","end":"01:50","startHours":24.83174327817851,"endHours":25.83174327817851,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:50","end":"02:50","startHours":25.83174327817851,"endHours":26.83174327817851,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:50","end":"03:50","startHours":26.83174327817851,"endHours":27.83174327817851,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:50","end":"04:50","startHours":27.83174327817851,"endHours":28.83174327817851,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:50","end":"05:50","startHours":28.83174327817851,"endHours":29.83174327817851,"planetary_lord":"Sun"}],"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","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"North-West","rahuVasa":"South-West","anandadiYoga":{"name":"Rākṣasa","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":11.61028031066043,"eotMinutes":0.9677634656409275,"ayanamsa":24.0807}},"calendars":{"vikram_samvat":2073,"vikram_samvatsara":"Saumya","saka_samvat":1938,"saka_samvatsara":"Durmukhi","bengali_samvat":1423,"malayalam_era":1192,"nanakshahi_year":547,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Trayodaśī · Vikram 2073 Saumya · Śaka 1938 Durmukhi"},"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},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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, 2016 CE · Vṛndāvana · Vidhyamitra","description":"April 20, 2016 CE for Vṛndāvana: Śukla Trayodaśī, sūryodaya 05:50, sūryāsta 18:47.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2016-04-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2016-04-20","sa":"https://sa.vidhyamitra.com/city/vrindavan/2016-04-20","hi":"https://hi.vidhyamitra.com/city/vrindavan/2016-04-20","x-default":"https://vidhyamitra.com/city/vrindavan/2016-04-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T12:33:18.548Z","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":"2026-05-15T12:33:18.548Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T12:33:18.548Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}