{"id":"vidhyamitra:city-day:vrindavan:2157-08-09:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2157-08-09","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2157-08-09","date_display":"August 9, 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":8,"day":9,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509108.770833,"kali_year":5259,"ahargana":1920643.2708,"sun":{"sidereal_longitude":109.8217,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":155.8799,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":46.0582,"elapsed_within_tithi_degrees":10.0582},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3,"moon_longitude":155.8799,"elapsed_within_degrees":9.2132},"yoga":{"number":20,"name":"Śiva","sum_longitude":265.7015},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":8,"day":9,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509108.770833,"ahargana":1920643.2708,"kali_year":5259,"ayanamsa_lahiri":26.0546,"grahas":{"sun":{"sidereal_longitude":110.77325099999996,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":153.437951,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false,"latitude":-2.9388},"mars":{"sidereal_longitude":200.944251,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":90.305451,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":114.118851,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":150.82025099999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":153.23245099999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":295.0767,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":115.0767,"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":8,"day":9,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509108.770833,"kali_year":5259,"ahargana":1920643.2708,"sun":{"sidereal_longitude":109.8217,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":155.8799,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":46.0582,"elapsed_within_tithi_degrees":10.0582},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3,"moon_longitude":155.8799,"elapsed_within_degrees":9.2132},"yoga":{"number":20,"name":"Śiva","sum_longitude":265.7015},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.939,"elongation":46.058},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.939,"opposition_distance":133.942}},"eclipse_window_40days":[{"offset_days":-4,"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":"05:47","sunsetLocal":"19:02","solarNoonLocal":"12:25","dayLengthHours":13.2637119690265,"dayLengthDisplay":"13 Hours 15 Mins 49 Secs","nightLengthDisplay":"10 Hours 44 Mins 11 Secs","moonriseLocal":"09:12","moonsetLocal":"21:18","rahuKala":{"name":"Rāhu Kāla","start":"15:44","end":"17:23","startHours":15.725506723425497,"endHours":17.38347071955381,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:06","end":"10:45","startHours":9.093650738912247,"endHours":10.751614735040558,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:25","end":"14:04","startHours":12.409578731168871,"endHours":14.067542727297184,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:52","end":"09:19","startHours":8.872588872761805,"endHours":9.314712605062688,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:20","end":"06:41","startHours":6.3303774120317255,"endHours":6.684076397872432,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:51","startHours":11.967454998867987,"endHours":12.851702463469755,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:01","end":"04:54","startHours":4.009227817452088,"endHours":4.8934752820538545,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:40","end":"05:47","startHours":4.672413415903414,"endHours":5.777722746655622,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:37","end":"15:30","startHours":14.620197392673289,"endHours":15.504444857275056,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:50","end":"19:14","startHours":18.841434715682123,"endHours":19.24143471568212,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:02","end":"19:36","startHours":19.041434715682122,"endHours":19.594089381058225,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:47","end":"20:32","startHours":18.791434715682122,"endHours":20.541434715682122,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:51","startHours":23.96745499886799,"endHours":24.851702463469753,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:47","end":"07:26","startHours":5.777722746655622,"endHours":7.435686742783934,"quality":"inauspicious"},{"name":"Udveg","start":"07:26","end":"09:06","startHours":7.435686742783934,"endHours":9.093650738912247,"quality":"inauspicious"},{"name":"Chala","start":"09:06","end":"10:45","startHours":9.093650738912247,"endHours":10.751614735040558,"quality":"neutral"},{"name":"Labha","start":"10:45","end":"12:25","startHours":10.751614735040558,"endHours":12.409578731168871,"quality":"auspicious"},{"name":"Amṛta","start":"12:25","end":"14:04","startHours":12.409578731168871,"endHours":14.067542727297184,"quality":"auspicious"},{"name":"Kāla","start":"14:04","end":"15:44","startHours":14.067542727297184,"endHours":15.725506723425497,"quality":"inauspicious"},{"name":"Śubha","start":"15:44","end":"17:23","startHours":15.725506723425497,"endHours":17.38347071955381,"quality":"auspicious"},{"name":"Roga","start":"17:23","end":"19:02","startHours":17.38347071955381,"endHours":19.041434715682122,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:02","end":"20:23","startHours":19.041434715682122,"endHours":20.38347071955381,"quality":"inauspicious"},{"name":"Śubha","start":"20:23","end":"21:44","startHours":20.38347071955381,"endHours":21.725506723425497,"quality":"auspicious"},{"name":"Roga","start":"21:44","end":"23:04","startHours":21.725506723425497,"endHours":23.067542727297184,"quality":"inauspicious"},{"name":"Udveg","start":"23:04","end":"00:25","startHours":23.067542727297184,"endHours":24.40957873116887,"quality":"inauspicious"},{"name":"Chala","start":"00:25","end":"01:45","startHours":24.40957873116887,"endHours":25.751614735040558,"quality":"neutral"},{"name":"Labha","start":"01:45","end":"03:06","startHours":25.751614735040558,"endHours":27.093650738912245,"quality":"auspicious"},{"name":"Amṛta","start":"03:06","end":"04:26","startHours":27.093650738912245,"endHours":28.435686742783936,"quality":"auspicious"},{"name":"Kāla","start":"04:26","end":"05:47","startHours":28.435686742783936,"endHours":29.77772274665562,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:47","end":"06:47","startHours":5.777722746655622,"endHours":6.777722746655622,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:47","end":"07:47","startHours":6.777722746655622,"endHours":7.777722746655622,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:47","end":"08:47","startHours":7.777722746655622,"endHours":8.777722746655622,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:47","end":"09:47","startHours":8.777722746655622,"endHours":9.777722746655622,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:47","end":"10:47","startHours":9.777722746655622,"endHours":10.777722746655622,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:47","end":"11:47","startHours":10.777722746655622,"endHours":11.777722746655622,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:47","end":"12:47","startHours":11.777722746655622,"endHours":12.777722746655622,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:47","end":"13:47","startHours":12.777722746655622,"endHours":13.777722746655622,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:47","end":"14:47","startHours":13.777722746655622,"endHours":14.777722746655622,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:47","end":"15:47","startHours":14.777722746655622,"endHours":15.777722746655622,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:47","end":"16:47","startHours":15.777722746655622,"endHours":16.77772274665562,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:47","end":"17:47","startHours":16.77772274665562,"endHours":17.77772274665562,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:47","end":"18:47","startHours":17.77772274665562,"endHours":18.77772274665562,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:47","end":"19:47","startHours":18.77772274665562,"endHours":19.77772274665562,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:47","end":"20:47","startHours":19.77772274665562,"endHours":20.77772274665562,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:47","end":"21:47","startHours":20.77772274665562,"endHours":21.77772274665562,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:47","end":"22:47","startHours":21.77772274665562,"endHours":22.77772274665562,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:47","end":"23:47","startHours":22.77772274665562,"endHours":23.77772274665562,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:47","end":"00:47","startHours":23.77772274665562,"endHours":24.77772274665562,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:47","end":"01:47","startHours":24.77772274665562,"endHours":25.77772274665562,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:47","end":"02:47","startHours":25.77772274665562,"endHours":26.77772274665562,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:47","end":"03:47","startHours":26.77772274665562,"endHours":27.77772274665562,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:47","end":"04:47","startHours":27.77772274665562,"endHours":28.77772274665562,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:47","end":"05:47","startHours":28.77772274665562,"endHours":29.77772274665562,"planetary_lord":"Saturn"}],"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":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"North-West","rahuVasa":"North","anandadiYoga":{"name":"Śubha","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":15.790793951889082,"eotMinutes":-5.211923870132258,"ayanamsa":26.0546}},"calendars":{"vikram_samvat":2214,"vikram_samvatsara":"Pramoda","saka_samvat":2079,"saka_samvatsara":"Piṅgala","bengali_samvat":1564,"malayalam_era":1333,"nanakshahi_year":688,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Caturthī · Vikram 2214 Pramoda · Śaka 2079 Piṅgala"},"festivals":[{"id":"angarika-chaturthi","name":"Aṅgāraka Caturthī (Tuesday Caturthī)","name_sanskrit":"अङ्गारक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa + Maṅgala","significance":"Tuesday-Caturthī (rare); supremely auspicious for Maṅgala-doṣa-nivāraṇa.","vrata":true,"detection":{"any_of":[{"tithi_number":4,"vara_name":"Maṅgalavāra (Tuesday)"},{"tithi_number":19,"vara_name":"Maṅgalavāra (Tuesday)"}]},"precedence":3},{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 August 9, 2157 CE · Vṛndāvana · Vidhyamitra","description":"August 9, 2157 CE for Vṛndāvana: Śukla Caturthī, sūryodaya 05:47, sūryāsta 19:02.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2157-08-09","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2157-08-09","sa":"https://sa.vidhyamitra.com/city/vrindavan/2157-08-09","hi":"https://hi.vidhyamitra.com/city/vrindavan/2157-08-09","x-default":"https://vidhyamitra.com/city/vrindavan/2157-08-09"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T20:50:01.776Z","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":"2026-05-31T20:50:01.776Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T20:50:01.776Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}