{"id":"vidhyamitra:city-day:vrindavan:2165-08-12:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2165-08-12","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2165-08-12","date_display":"August 12, 2165 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":2165,"month":8,"day":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2512033.770833,"kali_year":5267,"ahargana":1923568.2708,"sun":{"sidereal_longitude":112.6139,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":172.2061,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":59.5922,"elapsed_within_tithi_degrees":11.5922},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":172.2061,"elapsed_within_degrees":12.2061},"yoga":{"number":22,"name":"Sādhya","sum_longitude":284.82},"karana":{"half_tithi_index":9,"name":"Bālava"},"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":2165,"month":8,"day":12,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2512033.770833,"ahargana":1923568.2708,"kali_year":5267,"ayanamsa_lahiri":26.1665,"grahas":{"sun":{"sidereal_longitude":113.601495,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":168.83479499999999,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false,"latitude":2.3902},"mars":{"sidereal_longitude":37.678994999999986,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":109.076795,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":6.665495000000021,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":154.374595,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":244.28249500000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":140.0962,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":320.0962,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"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":2165,"month":8,"day":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2512033.770833,"kali_year":5267,"ahargana":1923568.2708,"sun":{"sidereal_longitude":112.6139,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":172.2061,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":59.5922,"elapsed_within_tithi_degrees":11.5922},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":172.2061,"elapsed_within_degrees":12.2061},"yoga":{"number":22,"name":"Sādhya","sum_longitude":284.82},"karana":{"half_tithi_index":9,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.39,"elongation":59.592},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.39,"opposition_distance":120.408}},"eclipse_window_40days":[{"offset_days":10,"type":"lunar","occurs":true,"moon_latitude":1.339,"opposition_distance":0.064}]},"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":13.194507235844693,"dayLengthDisplay":"13 Hours 11 Mins 40 Secs","nightLengthDisplay":"10 Hours 48 Mins 20 Secs","moonriseLocal":"10:15","moonsetLocal":"21:55","rahuKala":{"name":"Rāhu Kāla","start":"07:27","end":"09:06","startHours":7.4537598004889585,"endHours":9.103073204969546,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:45","end":"12:24","startHours":10.75238660945013,"endHours":12.401700013930718,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:03","end":"15:42","startHours":14.051013418411305,"endHours":15.700326822891892,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:53","end":"09:19","startHours":8.883164751038802,"endHours":9.32298165890029,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:21","end":"06:42","startHours":6.354217530835235,"endHours":6.706071057124427,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:50","startHours":11.96188310606923,"endHours":12.84151692179221,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:03","end":"04:55","startHours":4.045178764562413,"endHours":4.924812580285392,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:42","end":"05:48","startHours":4.7049041263546485,"endHours":5.804446396008372,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:36","end":"15:29","startHours":14.600784553238167,"endHours":15.480418368961146,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:48","end":"19:12","startHours":18.798953631853067,"endHours":19.198953631853065,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:00","end":"19:33","startHours":18.998953631853066,"endHours":19.54872476667993,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:45","end":"20:30","startHours":18.748953631853066,"endHours":20.498953631853066,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:50","startHours":23.96188310606923,"endHours":24.841516921792213,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:48","end":"07:27","startHours":5.804446396008372,"endHours":7.4537598004889585,"quality":"auspicious"},{"name":"Kāla","start":"07:27","end":"09:06","startHours":7.4537598004889585,"endHours":9.103073204969546,"quality":"inauspicious"},{"name":"Śubha","start":"09:06","end":"10:45","startHours":9.103073204969546,"endHours":10.75238660945013,"quality":"auspicious"},{"name":"Roga","start":"10:45","end":"12:24","startHours":10.75238660945013,"endHours":12.401700013930718,"quality":"inauspicious"},{"name":"Udveg","start":"12:24","end":"14:03","startHours":12.401700013930718,"endHours":14.051013418411305,"quality":"inauspicious"},{"name":"Chala","start":"14:03","end":"15:42","startHours":14.051013418411305,"endHours":15.700326822891892,"quality":"neutral"},{"name":"Labha","start":"15:42","end":"17:21","startHours":15.700326822891892,"endHours":17.34964022737248,"quality":"auspicious"},{"name":"Amṛta","start":"17:21","end":"19:00","startHours":17.34964022737248,"endHours":18.998953631853066,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:00","end":"20:21","startHours":18.998953631853066,"endHours":20.34964022737248,"quality":"neutral"},{"name":"Labha","start":"20:21","end":"21:42","startHours":20.34964022737248,"endHours":21.700326822891892,"quality":"auspicious"},{"name":"Amṛta","start":"21:42","end":"23:03","startHours":21.700326822891892,"endHours":23.05101341841131,"quality":"auspicious"},{"name":"Kāla","start":"23:03","end":"00:24","startHours":23.05101341841131,"endHours":24.40170001393072,"quality":"inauspicious"},{"name":"Śubha","start":"00:24","end":"01:45","startHours":24.40170001393072,"endHours":25.752386609450134,"quality":"auspicious"},{"name":"Roga","start":"01:45","end":"03:06","startHours":25.752386609450134,"endHours":27.103073204969547,"quality":"inauspicious"},{"name":"Udveg","start":"03:06","end":"04:27","startHours":27.103073204969547,"endHours":28.45375980048896,"quality":"inauspicious"},{"name":"Chala","start":"04:27","end":"05:48","startHours":28.45375980048896,"endHours":29.804446396008373,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:48","end":"06:48","startHours":5.804446396008372,"endHours":6.804446396008372,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:48","end":"07:48","startHours":6.804446396008372,"endHours":7.804446396008372,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:48","end":"08:48","startHours":7.804446396008372,"endHours":8.804446396008373,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:48","end":"09:48","startHours":8.804446396008373,"endHours":9.804446396008373,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:48","end":"10:48","startHours":9.804446396008373,"endHours":10.804446396008373,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:48","end":"11:48","startHours":10.804446396008373,"endHours":11.804446396008373,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:48","end":"12:48","startHours":11.804446396008373,"endHours":12.804446396008373,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:48","end":"13:48","startHours":12.804446396008373,"endHours":13.804446396008373,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:48","end":"14:48","startHours":13.804446396008373,"endHours":14.804446396008373,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:48","end":"15:48","startHours":14.804446396008373,"endHours":15.804446396008373,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:48","end":"16:48","startHours":15.804446396008373,"endHours":16.804446396008373,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:48","end":"17:48","startHours":16.804446396008373,"endHours":17.804446396008373,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:48","end":"18:48","startHours":17.804446396008373,"endHours":18.804446396008373,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:48","end":"19:48","startHours":18.804446396008373,"endHours":19.804446396008373,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:48","end":"20:48","startHours":19.804446396008373,"endHours":20.804446396008373,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:48","end":"21:48","startHours":20.804446396008373,"endHours":21.804446396008373,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:48","end":"22:48","startHours":21.804446396008373,"endHours":22.804446396008373,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:48","end":"23:48","startHours":22.804446396008373,"endHours":23.804446396008373,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:48","end":"00:48","startHours":23.804446396008373,"endHours":24.804446396008373,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:48","end":"01:48","startHours":24.804446396008373,"endHours":25.804446396008373,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:48","end":"02:48","startHours":25.804446396008373,"endHours":26.804446396008373,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:48","end":"03:48","startHours":26.804446396008373,"endHours":27.804446396008373,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:48","end":"04:48","startHours":27.804446396008373,"endHours":28.804446396008373,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:48","end":"05:48","startHours":28.804446396008373,"endHours":29.804446396008373,"planetary_lord":"Venus"}],"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":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Mṛtyu","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":14.88555371620945,"eotMinutes":-4.739200835843176,"ayanamsa":26.1665}},"calendars":{"vikram_samvat":2222,"vikram_samvatsara":"Bahudhānya","saka_samvat":2087,"saka_samvatsara":"Krodhana","bengali_samvat":1572,"malayalam_era":1341,"nanakshahi_year":696,"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 Pañcamī · Vikram 2222 Bahudhānya · Śaka 2087 Krodhana"},"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, 2165 CE · Vṛndāvana · Vidhyamitra","description":"August 12, 2165 CE for Vṛndāvana: Śukla Pañcamī, sūryodaya 05:48, sūryāsta 19:00.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2165-08-12","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2165-08-12","sa":"https://sa.vidhyamitra.com/city/vrindavan/2165-08-12","hi":"https://hi.vidhyamitra.com/city/vrindavan/2165-08-12","x-default":"https://vidhyamitra.com/city/vrindavan/2165-08-12"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T13:07:23.843Z","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":"2026-06-02T13:07:23.843Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T13:07:23.843Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}