{"id":"vidhyamitra:city-day:vrindavan:2069-08-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2069-08-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2069-08-01","date_display":"August 1, 2069 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":2069,"month":8,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2476959.770833,"kali_year":5171,"ahargana":1888494.2708,"sun":{"sidereal_longitude":103.8944,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":259.08,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":155.1855,"elapsed_within_tithi_degrees":11.1855},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2,"moon_longitude":259.08,"elapsed_within_degrees":5.7466},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":2.9744},"karana":{"half_tithi_index":25,"name":"Taitila"},"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":2069,"month":8,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2476959.770833,"ahargana":1888494.2708,"kali_year":5171,"ayanamsa_lahiri":24.825,"grahas":{"sun":{"sidereal_longitude":104.596179,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"moon":{"sidereal_longitude":260.2620790000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false,"latitude":3.9193},"mars":{"sidereal_longitude":18.908379000000025,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":129.271279,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":326.7394790000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":139.641979,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":157.50047900000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":198.4855,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":18.4855,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":2069,"month":8,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2476959.770833,"kali_year":5171,"ahargana":1888494.2708,"sun":{"sidereal_longitude":103.8944,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":259.08,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":155.1855,"elapsed_within_tithi_degrees":11.1855},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2,"moon_longitude":259.08,"elapsed_within_degrees":5.7466},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":2.9744},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.919,"elongation":155.186},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.919,"opposition_distance":24.814}},"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":"05:43","sunsetLocal":"19:08","solarNoonLocal":"12:25","dayLengthHours":13.427485621194059,"dayLengthDisplay":"13 Hours 25 Mins 39 Secs","nightLengthDisplay":"10 Hours 34 Mins 21 Secs","moonriseLocal":"17:35","moonsetLocal":"04:01","rahuKala":{"name":"Rāhu Kāla","start":"14:06","end":"15:47","startHours":14.101443533761095,"endHours":15.779879236410354,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:43","end":"07:23","startHours":5.70926502051481,"endHours":7.387700723164067,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:04","end":"10:45","startHours":9.066136425813324,"endHours":10.744572128462583,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:51","end":"09:17","startHours":8.842344998793424,"endHours":9.289927852833225,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:16","end":"06:38","startHours":6.268743588064562,"endHours":6.626809871296404,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:59","end":"12:52","startHours":11.975424977072038,"endHours":12.87059068515164,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:55","end":"04:49","startHours":3.918933604355602,"endHours":4.814099312435205,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:35","end":"05:43","startHours":4.590307885415305,"endHours":5.70926502051481,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:40","end":"15:33","startHours":14.660922101310849,"endHours":15.556087809390453,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:56","end":"19:20","startHours":18.93675064170887,"endHours":19.336750641708868,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:08","end":"19:42","startHours":19.13675064170887,"endHours":19.69622920925862,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:53","end":"20:38","startHours":18.88675064170887,"endHours":20.63675064170887,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:59","end":"00:52","startHours":23.975424977072038,"endHours":24.87059068515164,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:43","end":"07:23","startHours":5.70926502051481,"endHours":7.387700723164067,"quality":"auspicious"},{"name":"Roga","start":"07:23","end":"09:04","startHours":7.387700723164067,"endHours":9.066136425813324,"quality":"inauspicious"},{"name":"Udveg","start":"09:04","end":"10:45","startHours":9.066136425813324,"endHours":10.744572128462583,"quality":"inauspicious"},{"name":"Chala","start":"10:45","end":"12:25","startHours":10.744572128462583,"endHours":12.423007831111839,"quality":"neutral"},{"name":"Labha","start":"12:25","end":"14:06","startHours":12.423007831111839,"endHours":14.101443533761095,"quality":"auspicious"},{"name":"Amṛta","start":"14:06","end":"15:47","startHours":14.101443533761095,"endHours":15.779879236410354,"quality":"auspicious"},{"name":"Kāla","start":"15:47","end":"17:27","startHours":15.779879236410354,"endHours":17.458314939059612,"quality":"inauspicious"},{"name":"Śubha","start":"17:27","end":"19:08","startHours":17.458314939059612,"endHours":19.13675064170887,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"19:08","end":"20:27","startHours":19.13675064170887,"endHours":20.458314939059612,"quality":"auspicious"},{"name":"Kāla","start":"20:27","end":"21:47","startHours":20.458314939059612,"endHours":21.779879236410352,"quality":"inauspicious"},{"name":"Śubha","start":"21:47","end":"23:06","startHours":21.779879236410352,"endHours":23.101443533761095,"quality":"auspicious"},{"name":"Roga","start":"23:06","end":"00:25","startHours":23.101443533761095,"endHours":24.42300783111184,"quality":"inauspicious"},{"name":"Udveg","start":"00:25","end":"01:45","startHours":24.42300783111184,"endHours":25.744572128462583,"quality":"inauspicious"},{"name":"Chala","start":"01:45","end":"03:04","startHours":25.744572128462583,"endHours":27.066136425813326,"quality":"neutral"},{"name":"Labha","start":"03:04","end":"04:23","startHours":27.066136425813326,"endHours":28.387700723164066,"quality":"auspicious"},{"name":"Amṛta","start":"04:23","end":"05:43","startHours":28.387700723164066,"endHours":29.70926502051481,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:43","end":"06:43","startHours":5.70926502051481,"endHours":6.70926502051481,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:43","end":"07:43","startHours":6.70926502051481,"endHours":7.70926502051481,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:43","end":"08:43","startHours":7.70926502051481,"endHours":8.70926502051481,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:43","end":"09:43","startHours":8.70926502051481,"endHours":9.70926502051481,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:43","end":"10:43","startHours":9.70926502051481,"endHours":10.70926502051481,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:43","end":"11:43","startHours":10.70926502051481,"endHours":11.70926502051481,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:43","end":"12:43","startHours":11.70926502051481,"endHours":12.70926502051481,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:43","end":"13:43","startHours":12.70926502051481,"endHours":13.70926502051481,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:43","end":"14:43","startHours":13.70926502051481,"endHours":14.70926502051481,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:43","end":"15:43","startHours":14.70926502051481,"endHours":15.70926502051481,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:43","end":"16:43","startHours":15.70926502051481,"endHours":16.70926502051481,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:43","end":"17:43","startHours":16.70926502051481,"endHours":17.70926502051481,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:43","end":"18:43","startHours":17.70926502051481,"endHours":18.70926502051481,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:43","end":"19:43","startHours":18.70926502051481,"endHours":19.70926502051481,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:43","end":"20:43","startHours":19.70926502051481,"endHours":20.70926502051481,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:43","end":"21:43","startHours":20.70926502051481,"endHours":21.70926502051481,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:43","end":"22:43","startHours":21.70926502051481,"endHours":22.70926502051481,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:43","end":"23:43","startHours":22.70926502051481,"endHours":23.70926502051481,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:43","end":"00:43","startHours":23.70926502051481,"endHours":24.70926502051481,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:43","end":"01:43","startHours":24.70926502051481,"endHours":25.70926502051481,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:43","end":"02:43","startHours":25.70926502051481,"endHours":26.70926502051481,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:43","end":"03:43","startHours":26.70926502051481,"endHours":27.70926502051481,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:43","end":"04:43","startHours":27.70926502051481,"endHours":28.70926502051481,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:43","end":"05:43","startHours":28.70926502051481,"endHours":29.70926502051481,"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"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":17.89345343672376,"eotMinutes":-6.017669866710306,"ayanamsa":24.825}},"calendars":{"vikram_samvat":2126,"vikram_samvatsara":"Śubhakṛt","saka_samvat":1991,"saka_samvatsara":"Virodhi","bengali_samvat":1476,"malayalam_era":1245,"nanakshahi_year":600,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Trayodaśī · Vikram 2126 Śubhakṛt · Śaka 1991 Virodhi"},"festivals":[{"id":"karka-sankranti","name":"Karka Saṅkrānti (Dakṣiṇāyana)","name_sanskrit":"कर्क सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Cancer; Dakṣiṇāyana (south-going) begins. Devatā-rātri begins.","vrata":true,"detection":{"sun_rashi":"Karka"},"precedence":2},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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 August 1, 2069 CE · Vṛndāvana · Vidhyamitra","description":"August 1, 2069 CE for Vṛndāvana: Śukla Trayodaśī, sūryodaya 05:43, sūryāsta 19:08.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2069-08-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2069-08-01","sa":"https://sa.vidhyamitra.com/city/vrindavan/2069-08-01","hi":"https://hi.vidhyamitra.com/city/vrindavan/2069-08-01","x-default":"https://vidhyamitra.com/city/vrindavan/2069-08-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-19T07:37:06.540Z","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":"2026-05-19T07:37:06.540Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-19T07:37:06.540Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}