{"id":"vidhyamitra:city-day:vrindavan:2033-08-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2033-08-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2033-08-13","date_display":"August 13, 2033 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":2033,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463822.770833,"kali_year":5135,"ahargana":1875357.2708,"sun":{"sidereal_longitude":115.625,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":324.5745,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":208.9494,"elapsed_within_tithi_degrees":4.9494},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2,"moon_longitude":324.5745,"elapsed_within_degrees":4.5745},"yoga":{"number":7,"name":"Sukarma","sum_longitude":80.1995},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2033,"month":8,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2463822.770833,"ahargana":1875357.2708,"kali_year":5135,"ayanamsa_lahiri":24.3226,"grahas":{"sun":{"sidereal_longitude":116.308109,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":327.60650899999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false,"latitude":2.2464},"mars":{"sidereal_longitude":245.91090899999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":107.954609,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":309.14640899999995,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":80.777309,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":81.38980900000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":174.5469,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":354.5469,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","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":2033,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463822.770833,"kali_year":5135,"ahargana":1875357.2708,"sun":{"sidereal_longitude":115.625,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":324.5745,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":208.9494,"elapsed_within_tithi_degrees":4.9494},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2,"moon_longitude":324.5745,"elapsed_within_degrees":4.5745},"yoga":{"number":7,"name":"Sukarma","sum_longitude":80.1995},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.246,"elongation":151.051},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.246,"opposition_distance":28.949}},"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":13.173808561163405,"dayLengthDisplay":"13 Hours 10 Mins 26 Secs","nightLengthDisplay":"10 Hours 49 Mins 34 Secs","moonriseLocal":"20:33","moonsetLocal":"08:25","rahuKala":{"name":"Rāhu Kāla","start":"09:06","end":"10:45","startHours":9.105286538679408,"endHours":10.752012608824833,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:03","end":"15:42","startHours":14.045464749115684,"endHours":15.69219081926111,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:49","end":"07:28","startHours":5.811834398388556,"endHours":7.458560468533982,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:53","end":"09:19","startHours":8.885723062660016,"endHours":9.324850014698796,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:22","end":"06:43","startHours":6.360743088437031,"endHours":6.712044650068055,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:50","startHours":11.959611726931477,"endHours":12.837865631009038,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:03","end":"04:56","startHours":4.0553265902334354,"endHours":4.933580494310996,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:43","end":"05:49","startHours":4.714017018291606,"endHours":5.811834398388556,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:36","end":"15:28","startHours":14.594373439164158,"endHours":15.472627343241719,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:47","end":"19:11","startHours":18.78564295955196,"endHours":19.18564295955196,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:59","end":"19:32","startHours":18.98564295955196,"endHours":19.534551649600434,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:44","end":"20:29","startHours":18.73564295955196,"endHours":20.48564295955196,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:50","startHours":23.959611726931477,"endHours":24.837865631009038,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:49","end":"07:28","startHours":5.811834398388556,"endHours":7.458560468533982,"quality":"inauspicious"},{"name":"Śubha","start":"07:28","end":"09:06","startHours":7.458560468533982,"endHours":9.105286538679408,"quality":"auspicious"},{"name":"Roga","start":"09:06","end":"10:45","startHours":9.105286538679408,"endHours":10.752012608824833,"quality":"inauspicious"},{"name":"Udveg","start":"10:45","end":"12:24","startHours":10.752012608824833,"endHours":12.398738678970258,"quality":"inauspicious"},{"name":"Chala","start":"12:24","end":"14:03","startHours":12.398738678970258,"endHours":14.045464749115684,"quality":"neutral"},{"name":"Labha","start":"14:03","end":"15:42","startHours":14.045464749115684,"endHours":15.69219081926111,"quality":"auspicious"},{"name":"Amṛta","start":"15:42","end":"17:20","startHours":15.69219081926111,"endHours":17.338916889406534,"quality":"auspicious"},{"name":"Kāla","start":"17:20","end":"18:59","startHours":17.338916889406534,"endHours":18.98564295955196,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:59","end":"20:20","startHours":18.98564295955196,"endHours":20.338916889406534,"quality":"auspicious"},{"name":"Amṛta","start":"20:20","end":"21:42","startHours":20.338916889406534,"endHours":21.692190819261107,"quality":"auspicious"},{"name":"Kāla","start":"21:42","end":"23:03","startHours":21.692190819261107,"endHours":23.045464749115684,"quality":"inauspicious"},{"name":"Śubha","start":"23:03","end":"00:24","startHours":23.045464749115684,"endHours":24.398738678970258,"quality":"auspicious"},{"name":"Roga","start":"00:24","end":"01:45","startHours":24.398738678970258,"endHours":25.75201260882483,"quality":"inauspicious"},{"name":"Udveg","start":"01:45","end":"03:06","startHours":25.75201260882483,"endHours":27.105286538679408,"quality":"inauspicious"},{"name":"Chala","start":"03:06","end":"04:28","startHours":27.105286538679408,"endHours":28.45856046853398,"quality":"neutral"},{"name":"Labha","start":"04:28","end":"05:49","startHours":28.45856046853398,"endHours":29.811834398388555,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:49","end":"06:49","startHours":5.811834398388556,"endHours":6.811834398388556,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:49","end":"07:49","startHours":6.811834398388556,"endHours":7.811834398388556,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:49","end":"08:49","startHours":7.811834398388556,"endHours":8.811834398388555,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:49","end":"09:49","startHours":8.811834398388555,"endHours":9.811834398388555,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:49","end":"10:49","startHours":9.811834398388555,"endHours":10.811834398388555,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:49","end":"11:49","startHours":10.811834398388555,"endHours":11.811834398388555,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:49","end":"12:49","startHours":11.811834398388555,"endHours":12.811834398388555,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:49","end":"13:49","startHours":12.811834398388555,"endHours":13.811834398388555,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:49","end":"14:49","startHours":13.811834398388555,"endHours":14.811834398388555,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:49","end":"15:49","startHours":14.811834398388555,"endHours":15.811834398388555,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:49","end":"16:49","startHours":15.811834398388555,"endHours":16.811834398388555,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:49","end":"17:49","startHours":16.811834398388555,"endHours":17.811834398388555,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:49","end":"18:49","startHours":17.811834398388555,"endHours":18.811834398388555,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:49","end":"19:49","startHours":18.811834398388555,"endHours":19.811834398388555,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:49","end":"20:49","startHours":19.811834398388555,"endHours":20.811834398388555,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:49","end":"21:49","startHours":20.811834398388555,"endHours":21.811834398388555,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:49","end":"22:49","startHours":21.811834398388555,"endHours":22.811834398388555,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:49","end":"23:49","startHours":22.811834398388555,"endHours":23.811834398388555,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:49","end":"00:49","startHours":23.811834398388555,"endHours":24.811834398388555,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:49","end":"01:49","startHours":24.811834398388555,"endHours":25.811834398388555,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:49","end":"02:49","startHours":25.811834398388555,"endHours":26.811834398388555,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:49","end":"03:49","startHours":26.811834398388555,"endHours":27.811834398388555,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:49","end":"04:49","startHours":27.811834398388555,"endHours":28.811834398388555,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:49","end":"05:49","startHours":28.811834398388555,"endHours":29.811834398388555,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"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":"East","anandadiYoga":{"name":"Amṛta","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":14.61295549061227,"eotMinutes":-4.561520738215509,"ayanamsa":24.3226}},"calendars":{"vikram_samvat":2090,"vikram_samvatsara":"Akṣaya","saka_samvat":1955,"saka_samvatsara":"Pramādī","bengali_samvat":1440,"malayalam_era":1209,"nanakshahi_year":564,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Tṛtīyā · Vikram 2090 Akṣaya · Śaka 1955 Pramādī"},"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}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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, 2033 CE · Vṛndāvana · Vidhyamitra","description":"August 13, 2033 CE for Vṛndāvana: Kṛṣṇa Tṛtīyā, sūryodaya 05:49, sūryāsta 18:59.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2033-08-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2033-08-13","sa":"https://sa.vidhyamitra.com/city/vrindavan/2033-08-13","hi":"https://hi.vidhyamitra.com/city/vrindavan/2033-08-13","x-default":"https://vidhyamitra.com/city/vrindavan/2033-08-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T00:25:19.842Z","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":"2026-05-15T00:25:19.843Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T00:25:19.843Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}