{"id":"vidhyamitra:city-day:vrindavan:2097-08-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2097-08-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2097-08-13","date_display":"August 13, 2097 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":2097,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2487198.770833,"kali_year":5199,"ahargana":1898733.2708,"sun":{"sidereal_longitude":115.09,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":183.1985,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":68.1084,"elapsed_within_tithi_degrees":8.1084},"nakshatra":{"number":14,"name":"Citrā","pada":3,"moon_longitude":183.1985,"elapsed_within_degrees":9.8651},"yoga":{"number":23,"name":"Śubha","sum_longitude":298.2885},"karana":{"half_tithi_index":11,"name":"Taitila"},"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":2097,"month":8,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2487198.770833,"ahargana":1898733.2708,"kali_year":5199,"ayanamsa_lahiri":25.2166,"grahas":{"sun":{"sidereal_longitude":115.92587400000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":184.92167399999994,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false,"latitude":0.9941},"mars":{"sidereal_longitude":278.846674,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":true},"mercury":{"sidereal_longitude":105.49667399999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":99.24717399999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"venus":{"sidereal_longitude":83.73177399999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":141.673674,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":15.974,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":195.974,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","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":2097,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2487198.770833,"kali_year":5199,"ahargana":1898733.2708,"sun":{"sidereal_longitude":115.09,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":183.1985,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":68.1084,"elapsed_within_tithi_degrees":8.1084},"nakshatra":{"number":14,"name":"Citrā","pada":3,"moon_longitude":183.1985,"elapsed_within_degrees":9.8651},"yoga":{"number":23,"name":"Śubha","sum_longitude":298.2885},"karana":{"half_tithi_index":11,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.994,"elongation":68.108},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.994,"opposition_distance":111.892}},"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":"05:49","sunsetLocal":"18:59","solarNoonLocal":"12:24","dayLengthHours":13.161450630208066,"dayLengthDisplay":"13 Hours 09 Mins 41 Secs","nightLengthDisplay":"10 Hours 50 Mins 19 Secs","moonriseLocal":"11:22","moonsetLocal":"22:38","rahuKala":{"name":"Rāhu Kāla","start":"15:41","end":"17:20","startHours":15.689101336522274,"endHours":17.334282665298282,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:07","end":"10:45","startHours":9.108376021418241,"endHours":10.75355735019425,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:24","end":"14:03","startHours":12.398738678970258,"endHours":14.043920007746266,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:53","end":"09:20","startHours":8.889018510914774,"endHours":9.32773353192171,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:22","end":"06:43","startHours":6.366407140124895,"endHours":6.717379156930444,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:50","startHours":11.960023657963323,"endHours":12.837453699977193,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:04","end":"04:56","startHours":4.063153279838484,"endHours":4.940583321852355,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:43","end":"05:49","startHours":4.721225811348887,"endHours":5.818013363866226,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:36","end":"15:28","startHours":14.592313784004936,"endHours":15.469743826018808,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:47","end":"19:11","startHours":18.77946399407429,"endHours":19.17946399407429,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:59","end":"19:32","startHours":18.97946399407429,"endHours":19.52785777033296,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:44","end":"20:29","startHours":18.72946399407429,"endHours":20.47946399407429,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:50","startHours":23.960023657963323,"endHours":24.837453699977193,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:49","end":"07:28","startHours":5.818013363866226,"endHours":7.463194692642234,"quality":"inauspicious"},{"name":"Udveg","start":"07:28","end":"09:07","startHours":7.463194692642234,"endHours":9.108376021418241,"quality":"inauspicious"},{"name":"Chala","start":"09:07","end":"10:45","startHours":9.108376021418241,"endHours":10.75355735019425,"quality":"neutral"},{"name":"Labha","start":"10:45","end":"12:24","startHours":10.75355735019425,"endHours":12.398738678970258,"quality":"auspicious"},{"name":"Amṛta","start":"12:24","end":"14:03","startHours":12.398738678970258,"endHours":14.043920007746266,"quality":"auspicious"},{"name":"Kāla","start":"14:03","end":"15:41","startHours":14.043920007746266,"endHours":15.689101336522274,"quality":"inauspicious"},{"name":"Śubha","start":"15:41","end":"17:20","startHours":15.689101336522274,"endHours":17.334282665298282,"quality":"auspicious"},{"name":"Roga","start":"17:20","end":"18:59","startHours":17.334282665298282,"endHours":18.97946399407429,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:59","end":"20:20","startHours":18.97946399407429,"endHours":20.334282665298282,"quality":"inauspicious"},{"name":"Śubha","start":"20:20","end":"21:41","startHours":20.334282665298282,"endHours":21.689101336522274,"quality":"auspicious"},{"name":"Roga","start":"21:41","end":"23:03","startHours":21.689101336522274,"endHours":23.043920007746266,"quality":"inauspicious"},{"name":"Udveg","start":"23:03","end":"00:24","startHours":23.043920007746266,"endHours":24.398738678970258,"quality":"inauspicious"},{"name":"Chala","start":"00:24","end":"01:45","startHours":24.398738678970258,"endHours":25.75355735019425,"quality":"neutral"},{"name":"Labha","start":"01:45","end":"03:07","startHours":25.75355735019425,"endHours":27.10837602141824,"quality":"auspicious"},{"name":"Amṛta","start":"03:07","end":"04:28","startHours":27.10837602141824,"endHours":28.463194692642233,"quality":"auspicious"},{"name":"Kāla","start":"04:28","end":"05:49","startHours":28.463194692642233,"endHours":29.818013363866225,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:49","end":"06:49","startHours":5.818013363866226,"endHours":6.818013363866226,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:49","end":"07:49","startHours":6.818013363866226,"endHours":7.818013363866226,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:49","end":"08:49","startHours":7.818013363866226,"endHours":8.818013363866225,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:49","end":"09:49","startHours":8.818013363866225,"endHours":9.818013363866225,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:49","end":"10:49","startHours":9.818013363866225,"endHours":10.818013363866225,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:49","end":"11:49","startHours":10.818013363866225,"endHours":11.818013363866225,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:49","end":"12:49","startHours":11.818013363866225,"endHours":12.818013363866225,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:49","end":"13:49","startHours":12.818013363866225,"endHours":13.818013363866225,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:49","end":"14:49","startHours":13.818013363866225,"endHours":14.818013363866225,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:49","end":"15:49","startHours":14.818013363866225,"endHours":15.818013363866225,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:49","end":"16:49","startHours":15.818013363866225,"endHours":16.818013363866225,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:49","end":"17:49","startHours":16.818013363866225,"endHours":17.818013363866225,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:49","end":"18:49","startHours":17.818013363866225,"endHours":18.818013363866225,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:49","end":"19:49","startHours":18.818013363866225,"endHours":19.818013363866225,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:49","end":"20:49","startHours":19.818013363866225,"endHours":20.818013363866225,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:49","end":"21:49","startHours":20.818013363866225,"endHours":21.818013363866225,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:49","end":"22:49","startHours":21.818013363866225,"endHours":22.818013363866225,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:49","end":"23:49","startHours":22.818013363866225,"endHours":23.818013363866225,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:49","end":"00:49","startHours":23.818013363866225,"endHours":24.818013363866225,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:49","end":"01:49","startHours":24.818013363866225,"endHours":25.818013363866225,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:49","end":"02:49","startHours":25.818013363866225,"endHours":26.818013363866225,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:49","end":"03:49","startHours":26.818013363866225,"endHours":27.818013363866225,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:49","end":"04:49","startHours":27.818013363866225,"endHours":28.818013363866225,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:49","end":"05:49","startHours":28.818013363866225,"endHours":29.818013363866225,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"North","rahuVasa":"North","anandadiYoga":{"name":"Mausala","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":14.449806124158986,"eotMinutes":-4.561520738215509,"ayanamsa":25.2166}},"calendars":{"vikram_samvat":2154,"vikram_samvatsara":"Pramoda","saka_samvat":2019,"saka_samvatsara":"Piṅgala","bengali_samvat":1504,"malayalam_era":1273,"nanakshahi_year":628,"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 Ṣaṣṭhī · Vikram 2154 Pramoda · Śaka 2019 Piṅgala"},"festivals":[{"id":"kalki-jayanti","name":"Kalki Jayantī","name_sanskrit":"कल्कि जयन्ती","tradition":"Vaishnava","associated_deity":"Kalki (10th daśāvatāra of Krishna)","deity_avatara_index":22,"significance":"Future Kalki avatāra — to manifest at end of Kali Yuga; observed Śrāvaṇa Śukla 6.","vrata":false,"detection":{"tithi_number":6,"tithi_paksha":"Śukla","lunar_month":"Śrāvaṇa"},"precedence":4,"sources":["Bhāgavata 12.2.18-20","Kalki Purāṇa"]}],"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 13, 2097 CE · Vṛndāvana · Vidhyamitra","description":"August 13, 2097 CE for Vṛndāvana: Śukla Ṣaṣṭhī, sūryodaya 05:49, sūryāsta 18:59.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2097-08-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2097-08-13","sa":"https://sa.vidhyamitra.com/city/vrindavan/2097-08-13","hi":"https://hi.vidhyamitra.com/city/vrindavan/2097-08-13","x-default":"https://vidhyamitra.com/city/vrindavan/2097-08-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T14:34:56.579Z","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":"2026-05-31T14:34:56.579Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T14:34:56.579Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}