{"id":"vidhyamitra:city-day:vrindavan:2157-07-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2157-07-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2157-07-21","date_display":"July 21, 2157 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":2157,"month":7,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509089.770833,"kali_year":5259,"ahargana":1920624.2708,"sun":{"sidereal_longitude":91.7754,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":255.0393,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":163.2639,"elapsed_within_tithi_degrees":7.2639},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1,"moon_longitude":255.0393,"elapsed_within_degrees":1.706},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":346.8147},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"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":2157,"month":7,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509089.770833,"ahargana":1920624.2708,"kali_year":5259,"ayanamsa_lahiri":26.0539,"grahas":{"sun":{"sidereal_longitude":92.60967700000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"moon":{"sidereal_longitude":256.59647700000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false,"latitude":-2.9532},"mars":{"sidereal_longitude":192.077177,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":95.74327700000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":110.01587700000005,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":129.053177,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":151.49917700000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":296.0834,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":116.0834,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":2157,"month":7,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509089.770833,"kali_year":5259,"ahargana":1920624.2708,"sun":{"sidereal_longitude":91.7754,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":255.0393,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":163.2639,"elapsed_within_tithi_degrees":7.2639},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1,"moon_longitude":255.0393,"elapsed_within_degrees":1.706},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":346.8147},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.953,"elongation":163.264},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.953,"opposition_distance":16.736}},"eclipse_window_40days":[{"offset_days":15,"type":"solar","occurs":true,"moon_latitude":0.786,"elongation":0.793}]},"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":"05:36","sunsetLocal":"19:14","solarNoonLocal":"12:25","dayLengthHours":13.63115671858683,"dayLengthDisplay":"13 Hours 37 Mins 52 Secs","nightLengthDisplay":"10 Hours 22 Mins 08 Secs","moonriseLocal":"18:09","moonsetLocal":"04:33","rahuKala":{"name":"Rāhu Kāla","start":"14:08","end":"15:50","startHours":14.127437980411418,"endHours":15.831332570234775,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:36","end":"07:19","startHours":5.607965031294651,"endHours":7.311859621118005,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:01","end":"10:43","startHours":9.01575421094136,"endHours":10.719648800764713,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:47","end":"09:15","startHours":8.788568265631579,"endHours":9.242940156251139,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:11","end":"06:32","startHours":6.175929894569102,"endHours":6.539427407064752,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:53","startHours":11.969171499968505,"endHours":12.877915281207626,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:47","end":"04:42","startHours":3.790477468816407,"endHours":4.69922125005553,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:28","end":"05:36","startHours":4.472035304745749,"endHours":5.607965031294651,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:36","startHours":14.695402843685873,"endHours":15.604146624924995,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:02","end":"19:26","startHours":19.03912174988148,"endHours":19.43912174988148,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:14","end":"19:48","startHours":19.23912174988148,"endHours":19.80708661315593,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:59","end":"20:44","startHours":18.98912174988148,"endHours":20.73912174988148,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:53","startHours":23.969171499968503,"endHours":24.877915281207628,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:36","end":"07:19","startHours":5.607965031294651,"endHours":7.311859621118005,"quality":"auspicious"},{"name":"Roga","start":"07:19","end":"09:01","startHours":7.311859621118005,"endHours":9.01575421094136,"quality":"inauspicious"},{"name":"Udveg","start":"09:01","end":"10:43","startHours":9.01575421094136,"endHours":10.719648800764713,"quality":"inauspicious"},{"name":"Chala","start":"10:43","end":"12:25","startHours":10.719648800764713,"endHours":12.423543390588065,"quality":"neutral"},{"name":"Labha","start":"12:25","end":"14:08","startHours":12.423543390588065,"endHours":14.127437980411418,"quality":"auspicious"},{"name":"Amṛta","start":"14:08","end":"15:50","startHours":14.127437980411418,"endHours":15.831332570234775,"quality":"auspicious"},{"name":"Kāla","start":"15:50","end":"17:32","startHours":15.831332570234775,"endHours":17.535227160058128,"quality":"inauspicious"},{"name":"Śubha","start":"17:32","end":"19:14","startHours":17.535227160058128,"endHours":19.23912174988148,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"19:14","end":"20:32","startHours":19.23912174988148,"endHours":20.535227160058128,"quality":"auspicious"},{"name":"Kāla","start":"20:32","end":"21:50","startHours":20.535227160058128,"endHours":21.83133257023477,"quality":"inauspicious"},{"name":"Śubha","start":"21:50","end":"23:08","startHours":21.83133257023477,"endHours":23.12743798041142,"quality":"auspicious"},{"name":"Roga","start":"23:08","end":"00:25","startHours":23.12743798041142,"endHours":24.423543390588065,"quality":"inauspicious"},{"name":"Udveg","start":"00:25","end":"01:43","startHours":24.423543390588065,"endHours":25.719648800764713,"quality":"inauspicious"},{"name":"Chala","start":"01:43","end":"03:01","startHours":25.719648800764713,"endHours":27.01575421094136,"quality":"neutral"},{"name":"Labha","start":"03:01","end":"04:19","startHours":27.01575421094136,"endHours":28.311859621118003,"quality":"auspicious"},{"name":"Amṛta","start":"04:19","end":"05:36","startHours":28.311859621118003,"endHours":29.60796503129465,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:36","end":"06:36","startHours":5.607965031294651,"endHours":6.607965031294651,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:36","end":"07:36","startHours":6.607965031294651,"endHours":7.607965031294651,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:36","end":"08:36","startHours":7.607965031294651,"endHours":8.60796503129465,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:36","end":"09:36","startHours":8.60796503129465,"endHours":9.60796503129465,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:36","end":"10:36","startHours":9.60796503129465,"endHours":10.60796503129465,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:36","end":"11:36","startHours":10.60796503129465,"endHours":11.60796503129465,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:36","end":"12:36","startHours":11.60796503129465,"endHours":12.60796503129465,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:36","end":"13:36","startHours":12.60796503129465,"endHours":13.60796503129465,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:36","end":"14:36","startHours":13.60796503129465,"endHours":14.60796503129465,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:36","end":"15:36","startHours":14.60796503129465,"endHours":15.60796503129465,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:36","end":"16:36","startHours":15.60796503129465,"endHours":16.60796503129465,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:36","end":"17:36","startHours":16.60796503129465,"endHours":17.60796503129465,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:36","end":"18:36","startHours":17.60796503129465,"endHours":18.60796503129465,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:36","end":"19:36","startHours":18.60796503129465,"endHours":19.60796503129465,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:36","end":"20:36","startHours":19.60796503129465,"endHours":20.60796503129465,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:36","end":"21:36","startHours":20.60796503129465,"endHours":21.60796503129465,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:36","end":"22:36","startHours":21.60796503129465,"endHours":22.60796503129465,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:36","end":"23:36","startHours":22.60796503129465,"endHours":23.60796503129465,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:36","end":"00:36","startHours":23.60796503129465,"endHours":24.60796503129465,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:36","end":"01:36","startHours":24.60796503129465,"endHours":25.60796503129465,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:36","end":"02:36","startHours":25.60796503129465,"endHours":26.60796503129465,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:36","end":"03:36","startHours":26.60796503129465,"endHours":27.60796503129465,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:36","end":"04:36","startHours":27.60796503129465,"endHours":28.60796503129465,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:36","end":"05:36","startHours":28.60796503129465,"endHours":29.60796503129465,"planetary_lord":"Moon"}],"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","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"East","rahuVasa":"North-West","anandadiYoga":{"name":"Śrīvatsa","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":20.425603491744923,"eotMinutes":-6.049803435283957,"ayanamsa":26.0539}},"calendars":{"vikram_samvat":2214,"vikram_samvatsara":"Pramoda","saka_samvat":2079,"saka_samvatsara":"Piṅgala","bengali_samvat":1564,"malayalam_era":1333,"nanakshahi_year":688,"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":"Karkaṭa (Āḍi)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Caturdaśī · Vikram 2214 Pramoda · Śaka 2079 Piṅgala"},"festivals":[],"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":[]},"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 July 21, 2157 CE · Vṛndāvana · Vidhyamitra","description":"July 21, 2157 CE for Vṛndāvana: Śukla Caturdaśī, sūryodaya 05:36, sūryāsta 19:14.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2157-07-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2157-07-21","sa":"https://sa.vidhyamitra.com/city/vrindavan/2157-07-21","hi":"https://hi.vidhyamitra.com/city/vrindavan/2157-07-21","x-default":"https://vidhyamitra.com/city/vrindavan/2157-07-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T23:10:09.129Z","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":"2026-05-31T23:10:09.129Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T23:10:09.129Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}