{"id":"vidhyamitra:city-day:rishikesh:2033-08-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/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":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"sunriseLocal":"05:43","sunsetLocal":"19:00","solarNoonLocal":"12:21","dayLengthHours":13.292788946836325,"dayLengthDisplay":"13 Hours 17 Mins 34 Secs","nightLengthDisplay":"10 Hours 42 Mins 26 Secs","moonriseLocal":"20:31","moonsetLocal":"08:22","rahuKala":{"name":"Rāhu Kāla","start":"09:02","end":"10:42","startHours":9.034988108927845,"endHours":10.696586727282387,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:01","end":"15:41","startHours":14.019783963991468,"endHours":15.681382582346007,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:43","end":"07:22","startHours":5.7117908722187645,"endHours":7.373389490573305,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:49","end":"09:15","startHours":8.813441626480573,"endHours":9.256534591375118,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:16","end":"06:37","startHours":6.265657078336945,"endHours":6.620131450252581,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:48","startHours":11.915092380742381,"endHours":12.80127831053147,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:56","end":"04:50","startHours":3.939419012640588,"endHours":4.825604942429676,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:36","end":"05:43","startHours":4.604058459982404,"endHours":5.7117908722187645,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:34","end":"15:28","startHours":14.573650170109648,"endHours":15.459836099898736,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:48","end":"19:12","startHours":18.80457981905509,"endHours":19.204579819055088,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:00","end":"19:34","startHours":19.00457981905509,"endHours":19.558446025173268,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:45","end":"20:30","startHours":18.75457981905509,"endHours":20.50457981905509,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:48","startHours":23.915092380742383,"endHours":24.80127831053147,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:43","end":"07:22","startHours":5.7117908722187645,"endHours":7.373389490573305,"quality":"inauspicious"},{"name":"Śubha","start":"07:22","end":"09:02","startHours":7.373389490573305,"endHours":9.034988108927845,"quality":"auspicious"},{"name":"Roga","start":"09:02","end":"10:42","startHours":9.034988108927845,"endHours":10.696586727282387,"quality":"inauspicious"},{"name":"Udveg","start":"10:42","end":"12:21","startHours":10.696586727282387,"endHours":12.358185345636926,"quality":"inauspicious"},{"name":"Chala","start":"12:21","end":"14:01","startHours":12.358185345636926,"endHours":14.019783963991468,"quality":"neutral"},{"name":"Labha","start":"14:01","end":"15:41","startHours":14.019783963991468,"endHours":15.681382582346007,"quality":"auspicious"},{"name":"Amṛta","start":"15:41","end":"17:21","startHours":15.681382582346007,"endHours":17.34298120070055,"quality":"auspicious"},{"name":"Kāla","start":"17:21","end":"19:00","startHours":17.34298120070055,"endHours":19.00457981905509,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:00","end":"20:21","startHours":19.00457981905509,"endHours":20.34298120070055,"quality":"auspicious"},{"name":"Amṛta","start":"20:21","end":"21:41","startHours":20.34298120070055,"endHours":21.681382582346007,"quality":"auspicious"},{"name":"Kāla","start":"21:41","end":"23:01","startHours":21.681382582346007,"endHours":23.019783963991465,"quality":"inauspicious"},{"name":"Śubha","start":"23:01","end":"00:21","startHours":23.019783963991465,"endHours":24.358185345636926,"quality":"auspicious"},{"name":"Roga","start":"00:21","end":"01:42","startHours":24.358185345636926,"endHours":25.696586727282387,"quality":"inauspicious"},{"name":"Udveg","start":"01:42","end":"03:02","startHours":25.696586727282387,"endHours":27.034988108927845,"quality":"inauspicious"},{"name":"Chala","start":"03:02","end":"04:22","startHours":27.034988108927845,"endHours":28.373389490573302,"quality":"neutral"},{"name":"Labha","start":"04:22","end":"05:43","startHours":28.373389490573302,"endHours":29.711790872218764,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:43","end":"06:43","startHours":5.7117908722187645,"endHours":6.7117908722187645,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:43","end":"07:43","startHours":6.7117908722187645,"endHours":7.7117908722187645,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:43","end":"08:43","startHours":7.7117908722187645,"endHours":8.711790872218764,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:43","end":"09:43","startHours":8.711790872218764,"endHours":9.711790872218764,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:43","end":"10:43","startHours":9.711790872218764,"endHours":10.711790872218764,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:43","end":"11:43","startHours":10.711790872218764,"endHours":11.711790872218764,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:43","end":"12:43","startHours":11.711790872218764,"endHours":12.711790872218764,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:43","end":"13:43","startHours":12.711790872218764,"endHours":13.711790872218764,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:43","end":"14:43","startHours":13.711790872218764,"endHours":14.711790872218764,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:43","end":"15:43","startHours":14.711790872218764,"endHours":15.711790872218764,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:43","end":"16:43","startHours":15.711790872218764,"endHours":16.711790872218764,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:43","end":"17:43","startHours":16.711790872218764,"endHours":17.711790872218764,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:43","end":"18:43","startHours":17.711790872218764,"endHours":18.711790872218764,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:43","end":"19:43","startHours":18.711790872218764,"endHours":19.711790872218764,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:43","end":"20:43","startHours":19.711790872218764,"endHours":20.711790872218764,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:43","end":"21:43","startHours":20.711790872218764,"endHours":21.711790872218764,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:43","end":"22:43","startHours":21.711790872218764,"endHours":22.711790872218764,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:43","end":"23:43","startHours":22.711790872218764,"endHours":23.711790872218764,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:43","end":"00:43","startHours":23.711790872218764,"endHours":24.711790872218764,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:43","end":"01:43","startHours":24.711790872218764,"endHours":25.711790872218764,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:43","end":"02:43","startHours":25.711790872218764,"endHours":26.711790872218764,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:43","end":"03:43","startHours":26.711790872218764,"endHours":27.711790872218764,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:43","end":"04:43","startHours":27.711790872218764,"endHours":28.711790872218764,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:43","end":"05:43","startHours":28.711790872218764,"endHours":29.711790872218764,"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":"rishikesh"},"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 · Ṛṣikeśa · Vidhyamitra","description":"August 13, 2033 CE for Ṛṣikeśa: Kṛṣṇa Tṛtīyā, sūryodaya 05:43, sūryāsta 19:00.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2033-08-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2033-08-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/2033-08-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/2033-08-13","x-default":"https://vidhyamitra.com/city/rishikesh/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":"2026-05-15T09:00:54.135Z","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":"2026-05-15T09:00:54.135Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T09:00:54.135Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}