{"id":"vidhyamitra:city-day:vrindavan:2109-08-12:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2109-08-12","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2109-08-12","date_display":"August 12, 2109 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":2109,"month":8,"day":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2491579.770833,"kali_year":5211,"ahargana":1903114.2708,"sun":{"sidereal_longitude":113.0815,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":310.2455,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":197.1639,"elapsed_within_tithi_degrees":5.1639},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2,"moon_longitude":310.2455,"elapsed_within_degrees":3.5788},"yoga":{"number":5,"name":"Śobhana","sum_longitude":63.327},"karana":{"half_tithi_index":32,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2109,"month":8,"day":12,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2491579.770833,"ahargana":1903114.2708,"kali_year":5211,"ayanamsa_lahiri":25.3842,"grahas":{"sun":{"sidereal_longitude":113.93508799999995,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":309.042788,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false,"latitude":1.0573},"mars":{"sidereal_longitude":91.47298799999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":136.505588,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":102.47388799999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"venus":{"sidereal_longitude":152.82738799999993,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":280.022788,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":143.8475,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":323.8475,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","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":2109,"month":8,"day":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2491579.770833,"kali_year":5211,"ahargana":1903114.2708,"sun":{"sidereal_longitude":113.0815,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":310.2455,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":197.1639,"elapsed_within_tithi_degrees":5.1639},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2,"moon_longitude":310.2455,"elapsed_within_degrees":3.5788},"yoga":{"number":5,"name":"Śobhana","sum_longitude":63.327},"karana":{"half_tithi_index":32,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.057,"elongation":162.836},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.057,"opposition_distance":17.164}},"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":"05:48","sunsetLocal":"19:00","solarNoonLocal":"12:24","dayLengthHours":13.205204780135592,"dayLengthDisplay":"13 Hours 12 Mins 19 Secs","nightLengthDisplay":"10 Hours 47 Mins 41 Secs","moonriseLocal":"19:43","moonsetLocal":"07:06","rahuKala":{"name":"Rāhu Kāla","start":"07:27","end":"09:06","startHours":7.449748221379872,"endHours":9.10039881889682,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:45","end":"12:24","startHours":10.751049416413771,"endHours":12.40170001393072,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:03","end":"15:42","startHours":14.052350611447668,"endHours":15.703001208964618,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:53","end":"09:19","startHours":8.880312072561228,"endHours":9.320485565232415,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:21","end":"06:42","startHours":6.349314489701907,"endHours":6.701453283838856,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:51","startHours":11.961526521259533,"endHours":12.841873506601907,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:02","end":"04:55","startHours":4.038403653178178,"endHours":4.918750638520551,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:42","end":"05:48","startHours":4.698663892184958,"endHours":5.799097623862924,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:36","end":"15:29","startHours":14.602567477286652,"endHours":15.482914462629024,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:48","end":"19:12","startHours":18.804302403998516,"endHours":19.204302403998515,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:00","end":"19:33","startHours":19.004302403998516,"endHours":19.5545192698375,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:45","end":"20:30","startHours":18.754302403998516,"endHours":20.504302403998516,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:51","startHours":23.961526521259536,"endHours":24.841873506601907,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:48","end":"07:27","startHours":5.799097623862924,"endHours":7.449748221379872,"quality":"auspicious"},{"name":"Kāla","start":"07:27","end":"09:06","startHours":7.449748221379872,"endHours":9.10039881889682,"quality":"inauspicious"},{"name":"Śubha","start":"09:06","end":"10:45","startHours":9.10039881889682,"endHours":10.751049416413771,"quality":"auspicious"},{"name":"Roga","start":"10:45","end":"12:24","startHours":10.751049416413771,"endHours":12.40170001393072,"quality":"inauspicious"},{"name":"Udveg","start":"12:24","end":"14:03","startHours":12.40170001393072,"endHours":14.052350611447668,"quality":"inauspicious"},{"name":"Chala","start":"14:03","end":"15:42","startHours":14.052350611447668,"endHours":15.703001208964618,"quality":"neutral"},{"name":"Labha","start":"15:42","end":"17:21","startHours":15.703001208964618,"endHours":17.353651806481565,"quality":"auspicious"},{"name":"Amṛta","start":"17:21","end":"19:00","startHours":17.353651806481565,"endHours":19.004302403998516,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:00","end":"20:21","startHours":19.004302403998516,"endHours":20.353651806481565,"quality":"neutral"},{"name":"Labha","start":"20:21","end":"21:42","startHours":20.353651806481565,"endHours":21.70300120896462,"quality":"auspicious"},{"name":"Amṛta","start":"21:42","end":"23:03","startHours":21.70300120896462,"endHours":23.052350611447668,"quality":"auspicious"},{"name":"Kāla","start":"23:03","end":"00:24","startHours":23.052350611447668,"endHours":24.40170001393072,"quality":"inauspicious"},{"name":"Śubha","start":"00:24","end":"01:45","startHours":24.40170001393072,"endHours":25.75104941641377,"quality":"auspicious"},{"name":"Roga","start":"01:45","end":"03:06","startHours":25.75104941641377,"endHours":27.10039881889682,"quality":"inauspicious"},{"name":"Udveg","start":"03:06","end":"04:27","startHours":27.10039881889682,"endHours":28.44974822137987,"quality":"inauspicious"},{"name":"Chala","start":"04:27","end":"05:48","startHours":28.44974822137987,"endHours":29.799097623862924,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:48","end":"06:48","startHours":5.799097623862924,"endHours":6.799097623862924,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:48","end":"07:48","startHours":6.799097623862924,"endHours":7.799097623862924,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:48","end":"08:48","startHours":7.799097623862924,"endHours":8.799097623862924,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:48","end":"09:48","startHours":8.799097623862924,"endHours":9.799097623862924,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:48","end":"10:48","startHours":9.799097623862924,"endHours":10.799097623862924,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:48","end":"11:48","startHours":10.799097623862924,"endHours":11.799097623862924,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:48","end":"12:48","startHours":11.799097623862924,"endHours":12.799097623862924,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:48","end":"13:48","startHours":12.799097623862924,"endHours":13.799097623862924,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:48","end":"14:48","startHours":13.799097623862924,"endHours":14.799097623862924,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:48","end":"15:48","startHours":14.799097623862924,"endHours":15.799097623862924,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:48","end":"16:48","startHours":15.799097623862924,"endHours":16.799097623862924,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:48","end":"17:48","startHours":16.799097623862924,"endHours":17.799097623862924,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:48","end":"18:48","startHours":17.799097623862924,"endHours":18.799097623862924,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:48","end":"19:48","startHours":18.799097623862924,"endHours":19.799097623862924,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:48","end":"20:48","startHours":19.799097623862924,"endHours":20.799097623862924,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:48","end":"21:48","startHours":20.799097623862924,"endHours":21.799097623862924,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:48","end":"22:48","startHours":21.799097623862924,"endHours":22.799097623862924,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:48","end":"23:48","startHours":22.799097623862924,"endHours":23.799097623862924,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:48","end":"00:48","startHours":23.799097623862924,"endHours":24.799097623862924,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:48","end":"01:48","startHours":24.799097623862924,"endHours":25.799097623862924,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:48","end":"02:48","startHours":25.799097623862924,"endHours":26.799097623862924,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:48","end":"03:48","startHours":26.799097623862924,"endHours":27.799097623862924,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:48","end":"04:48","startHours":27.799097623862924,"endHours":28.799097623862924,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:48","end":"05:48","startHours":28.799097623862924,"endHours":29.799097623862924,"planetary_lord":"Venus"}],"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","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Dhātṛ","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":15.02610905913866,"eotMinutes":-4.739200835843176,"ayanamsa":25.3842}},"calendars":{"vikram_samvat":2166,"vikram_samvatsara":"Citrabhānu","saka_samvat":2031,"saka_samvatsara":"Śukla","bengali_samvat":1516,"malayalam_era":1285,"nanakshahi_year":640,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","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":"Bhādrapada Kṛṣṇa Dvitīyā · Vikram 2166 Citrabhānu · Śaka 2031 Śukla"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 12, 2109 CE · Vṛndāvana · Vidhyamitra","description":"August 12, 2109 CE for Vṛndāvana: Kṛṣṇa Dvitīyā, sūryodaya 05:48, sūryāsta 19:00.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2109-08-12","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2109-08-12","sa":"https://sa.vidhyamitra.com/city/vrindavan/2109-08-12","hi":"https://hi.vidhyamitra.com/city/vrindavan/2109-08-12","x-default":"https://vidhyamitra.com/city/vrindavan/2109-08-12"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T15:33:16.825Z","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":"2026-06-01T15:33:16.825Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T15:33:16.825Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}