{"id":"vidhyamitra:city-day:vrindavan:2164-06-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2164-06-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2164-06-20","date_display":"June 20, 2164 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":2164,"month":6,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511615.770833,"kali_year":5266,"ahargana":1923150.2708,"sun":{"sidereal_longitude":62.6014,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":68.5869,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":5.9854,"elapsed_within_tithi_degrees":5.9854},"nakshatra":{"number":6,"name":"Ārdrā","pada":1,"moon_longitude":68.5869,"elapsed_within_degrees":1.9202},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":131.1883},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"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":2164,"month":6,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2511615.770833,"ahargana":1923150.2708,"kali_year":5266,"ayanamsa_lahiri":26.1505,"grahas":{"sun":{"sidereal_longitude":63.237165000000005,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":67.32286499999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false,"latitude":-4.4908},"mars":{"sidereal_longitude":104.020465,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":85.608765,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":328.931465,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":15.922865000000002,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":235.35786499999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":162.2438,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":342.2438,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara 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":2164,"month":6,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511615.770833,"kali_year":5266,"ahargana":1923150.2708,"sun":{"sidereal_longitude":62.6014,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":68.5869,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":5.9854,"elapsed_within_tithi_degrees":5.9854},"nakshatra":{"number":6,"name":"Ārdrā","pada":1,"moon_longitude":68.5869,"elapsed_within_degrees":1.9202},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":131.1883},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.491,"elongation":5.985},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.491,"opposition_distance":174.015}},"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":"05:24","sunsetLocal":"19:17","solarNoonLocal":"12:21","dayLengthHours":13.884194245333582,"dayLengthDisplay":"13 Hours 53 Mins 03 Secs","nightLengthDisplay":"10 Hours 06 Mins 57 Secs","moonriseLocal":"05:42","moonsetLocal":"19:32","rahuKala":{"name":"Rāhu Kāla","start":"12:21","end":"14:05","startHours":12.34333065878183,"endHours":14.07885493944853,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:08","end":"08:52","startHours":7.136757816781738,"endHours":8.872282097448435,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:36","end":"12:21","startHours":10.607806378115132,"endHours":12.34333065878183,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:38","end":"09:06","startHours":8.64087886002621,"endHours":9.103685334870661,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:59","end":"06:21","startHours":5.979741629670606,"endHours":6.349986809546168,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:53","end":"12:48","startHours":11.880524183937379,"endHours":12.806137133626283,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:33","end":"04:29","startHours":3.550007636737229,"endHours":4.4756205864261345,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:15","end":"05:24","startHours":4.2442173490039075,"endHours":5.40123353611504,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:39","end":"15:35","startHours":14.657363033004096,"endHours":15.582975982693002,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:05","end":"19:29","startHours":19.085427781448622,"endHours":19.48542778144862,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:17","end":"19:52","startHours":19.28542778144862,"endHours":19.863935875004188,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:02","end":"20:47","startHours":19.03542778144862,"endHours":20.78542778144862,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:53","end":"00:48","startHours":23.88052418393738,"endHours":24.806137133626283,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:24","end":"07:08","startHours":5.40123353611504,"endHours":7.136757816781738,"quality":"auspicious"},{"name":"Amṛta","start":"07:08","end":"08:52","startHours":7.136757816781738,"endHours":8.872282097448435,"quality":"auspicious"},{"name":"Kāla","start":"08:52","end":"10:36","startHours":8.872282097448435,"endHours":10.607806378115132,"quality":"inauspicious"},{"name":"Śubha","start":"10:36","end":"12:21","startHours":10.607806378115132,"endHours":12.34333065878183,"quality":"auspicious"},{"name":"Roga","start":"12:21","end":"14:05","startHours":12.34333065878183,"endHours":14.07885493944853,"quality":"inauspicious"},{"name":"Udveg","start":"14:05","end":"15:49","startHours":14.07885493944853,"endHours":15.814379220115226,"quality":"inauspicious"},{"name":"Chala","start":"15:49","end":"17:33","startHours":15.814379220115226,"endHours":17.549903500781923,"quality":"neutral"},{"name":"Labha","start":"17:33","end":"19:17","startHours":17.549903500781923,"endHours":19.28542778144862,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:17","end":"20:33","startHours":19.28542778144862,"endHours":20.549903500781923,"quality":"inauspicious"},{"name":"Chala","start":"20:33","end":"21:49","startHours":20.549903500781923,"endHours":21.814379220115228,"quality":"neutral"},{"name":"Labha","start":"21:49","end":"23:05","startHours":21.814379220115228,"endHours":23.07885493944853,"quality":"auspicious"},{"name":"Amṛta","start":"23:05","end":"00:21","startHours":23.07885493944853,"endHours":24.34333065878183,"quality":"auspicious"},{"name":"Kāla","start":"00:21","end":"01:36","startHours":24.34333065878183,"endHours":25.607806378115132,"quality":"inauspicious"},{"name":"Śubha","start":"01:36","end":"02:52","startHours":25.607806378115132,"endHours":26.872282097448434,"quality":"auspicious"},{"name":"Roga","start":"02:52","end":"04:08","startHours":26.872282097448434,"endHours":28.13675781678174,"quality":"inauspicious"},{"name":"Udveg","start":"04:08","end":"05:24","startHours":28.13675781678174,"endHours":29.40123353611504,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:24","end":"06:24","startHours":5.40123353611504,"endHours":6.40123353611504,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:24","end":"07:24","startHours":6.40123353611504,"endHours":7.40123353611504,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:24","end":"08:24","startHours":7.40123353611504,"endHours":8.40123353611504,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:24","end":"09:24","startHours":8.40123353611504,"endHours":9.40123353611504,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:24","end":"10:24","startHours":9.40123353611504,"endHours":10.40123353611504,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:24","end":"11:24","startHours":10.40123353611504,"endHours":11.40123353611504,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:24","end":"12:24","startHours":11.40123353611504,"endHours":12.40123353611504,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:24","end":"13:24","startHours":12.40123353611504,"endHours":13.40123353611504,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:24","end":"14:24","startHours":13.40123353611504,"endHours":14.40123353611504,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:24","end":"15:24","startHours":14.40123353611504,"endHours":15.40123353611504,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:24","end":"16:24","startHours":15.40123353611504,"endHours":16.40123353611504,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:24","end":"17:24","startHours":16.40123353611504,"endHours":17.40123353611504,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:24","end":"18:24","startHours":17.40123353611504,"endHours":18.40123353611504,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:24","end":"19:24","startHours":18.40123353611504,"endHours":19.40123353611504,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:24","end":"20:24","startHours":19.40123353611504,"endHours":20.40123353611504,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:24","end":"21:24","startHours":20.40123353611504,"endHours":21.40123353611504,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:24","end":"22:24","startHours":21.40123353611504,"endHours":22.40123353611504,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:24","end":"23:24","startHours":22.40123353611504,"endHours":23.40123353611504,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:24","end":"00:24","startHours":23.40123353611504,"endHours":24.40123353611504,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:24","end":"01:24","startHours":24.40123353611504,"endHours":25.40123353611504,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:24","end":"02:24","startHours":25.40123353611504,"endHours":26.40123353611504,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:24","end":"03:24","startHours":26.40123353611504,"endHours":27.40123353611504,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:24","end":"04:24","startHours":27.40123353611504,"endHours":28.40123353611504,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:24","end":"05:24","startHours":28.40123353611504,"endHours":29.40123353611504,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"tropicalRitu":"Grīṣma (Summer)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":23.435081584856945,"eotMinutes":-1.2370395269098728,"ayanamsa":26.1505}},"calendars":{"vikram_samvat":2221,"vikram_samvatsara":"Īśvara","saka_samvat":2086,"saka_samvatsara":"Raktākṣī","bengali_samvat":1571,"malayalam_era":1340,"nanakshahi_year":695,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Pratipada · Vikram 2221 Īśvara · Śaka 2086 Raktākṣī"},"festivals":[{"id":"ashadha-gupta-navratri-start","name":"Āṣāḍha Gupta Navrātri Start","name_sanskrit":"आषाढ गुप्त नवरात्रि आरम्भ","tradition":"Shakta","associated_deity":"Devī (10 Mahāvidyās)","significance":"Second Gupta Navrātri.","vrata":true,"detection":{"tithi_number":1,"tithi_paksha":"Śukla","lunar_month":"Āṣāḍha"},"precedence":3}],"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 June 20, 2164 CE · Vṛndāvana · Vidhyamitra","description":"June 20, 2164 CE for Vṛndāvana: Śukla Pratipada, sūryodaya 05:24, sūryāsta 19:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2164-06-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2164-06-20","sa":"https://sa.vidhyamitra.com/city/vrindavan/2164-06-20","hi":"https://hi.vidhyamitra.com/city/vrindavan/2164-06-20","x-default":"https://vidhyamitra.com/city/vrindavan/2164-06-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T13:49:23.755Z","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":"2026-05-31T13:49:23.755Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T13:49:23.755Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}