{"id":"vidhyamitra:city-day:rishikesh:2033-08-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2033-08-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2033-08-21","date_display":"August 21, 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":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463830.770833,"kali_year":5135,"ahargana":1875365.2708,"sun":{"sidereal_longitude":123.2765,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":77.5929,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":314.3164,"elapsed_within_tithi_degrees":2.3164},"nakshatra":{"number":6,"name":"Ārdrā","pada":4,"moon_longitude":77.5929,"elapsed_within_degrees":10.9262},"yoga":{"number":16,"name":"Siddhi","sum_longitude":200.8694},"karana":{"half_tithi_index":52,"name":"Kaulava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2463830.770833,"ahargana":1875365.2708,"kali_year":5135,"ayanamsa_lahiri":24.3229,"grahas":{"sun":{"sidereal_longitude":123.99870399999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":79.19960400000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false,"latitude":-4.4707},"mars":{"sidereal_longitude":247.54560400000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":124.15450399999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":308.117204,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":90.26010400000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":82.28270399999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":174.1231,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":354.1231,"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":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463830.770833,"kali_year":5135,"ahargana":1875365.2708,"sun":{"sidereal_longitude":123.2765,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":77.5929,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":314.3164,"elapsed_within_tithi_degrees":2.3164},"nakshatra":{"number":6,"name":"Ārdrā","pada":4,"moon_longitude":77.5929,"elapsed_within_degrees":10.9262},"yoga":{"number":16,"name":"Siddhi","sum_longitude":200.8694},"karana":{"half_tithi_index":52,"name":"Kaulava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.471,"elongation":45.684},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.471,"opposition_distance":134.316}},"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":"05:47","sunsetLocal":"18:52","solarNoonLocal":"12:20","dayLengthHours":13.080173970200967,"dayLengthDisplay":"13 Hours 04 Mins 49 Secs","nightLengthDisplay":"10 Hours 55 Mins 11 Secs","moonriseLocal":"02:21","moonsetLocal":"16:20","rahuKala":{"name":"Rāhu Kāla","start":"17:14","end":"18:52","startHours":17.233856794091942,"endHours":18.868878540367064,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:20","end":"13:58","startHours":12.32879155526658,"endHours":13.963813301541702,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:36","end":"17:14","startHours":15.59883504781682,"endHours":17.233856794091942,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:50","end":"09:17","startHours":8.840745163212988,"endHours":9.276750962219687,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:20","end":"06:41","startHours":6.33371181892447,"endHours":6.682516458129829,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:46","startHours":11.892785756259881,"endHours":12.764797354273279,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:03","end":"04:55","startHours":4.0446813741393,"endHours":4.916692972152698,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:42","end":"05:47","startHours":4.698690072649349,"endHours":5.788704570166096,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:31","end":"15:23","startHours":14.508820550300072,"endHours":15.38083214831347,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:40","end":"19:04","startHours":18.668878540367064,"endHours":19.068878540367063,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:52","end":"19:25","startHours":18.868878540367064,"endHours":19.413885789125437,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:37","end":"20:22","startHours":18.618878540367064,"endHours":20.368878540367064,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:46","startHours":23.89278575625988,"endHours":24.76479735427328,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:47","end":"07:25","startHours":5.788704570166096,"endHours":7.423726316441217,"quality":"inauspicious"},{"name":"Chala","start":"07:25","end":"09:04","startHours":7.423726316441217,"endHours":9.058748062716337,"quality":"neutral"},{"name":"Labha","start":"09:04","end":"10:42","startHours":9.058748062716337,"endHours":10.693769808991458,"quality":"auspicious"},{"name":"Amṛta","start":"10:42","end":"12:20","startHours":10.693769808991458,"endHours":12.32879155526658,"quality":"auspicious"},{"name":"Kāla","start":"12:20","end":"13:58","startHours":12.32879155526658,"endHours":13.963813301541702,"quality":"inauspicious"},{"name":"Śubha","start":"13:58","end":"15:36","startHours":13.963813301541702,"endHours":15.59883504781682,"quality":"auspicious"},{"name":"Roga","start":"15:36","end":"17:14","startHours":15.59883504781682,"endHours":17.233856794091942,"quality":"inauspicious"},{"name":"Udveg","start":"17:14","end":"18:52","startHours":17.233856794091942,"endHours":18.868878540367064,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:52","end":"20:14","startHours":18.868878540367064,"endHours":20.233856794091942,"quality":"auspicious"},{"name":"Roga","start":"20:14","end":"21:36","startHours":20.233856794091942,"endHours":21.59883504781682,"quality":"inauspicious"},{"name":"Udveg","start":"21:36","end":"22:58","startHours":21.59883504781682,"endHours":22.963813301541702,"quality":"inauspicious"},{"name":"Chala","start":"22:58","end":"00:20","startHours":22.963813301541702,"endHours":24.32879155526658,"quality":"neutral"},{"name":"Labha","start":"00:20","end":"01:42","startHours":24.32879155526658,"endHours":25.69376980899146,"quality":"auspicious"},{"name":"Amṛta","start":"01:42","end":"03:04","startHours":25.69376980899146,"endHours":27.05874806271634,"quality":"auspicious"},{"name":"Kāla","start":"03:04","end":"04:25","startHours":27.05874806271634,"endHours":28.42372631644122,"quality":"inauspicious"},{"name":"Śubha","start":"04:25","end":"05:47","startHours":28.42372631644122,"endHours":29.788704570166097,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:47","end":"06:47","startHours":5.788704570166096,"endHours":6.788704570166096,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:47","end":"07:47","startHours":6.788704570166096,"endHours":7.788704570166096,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:47","end":"08:47","startHours":7.788704570166096,"endHours":8.788704570166097,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:47","end":"09:47","startHours":8.788704570166097,"endHours":9.788704570166097,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:47","end":"10:47","startHours":9.788704570166097,"endHours":10.788704570166097,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:47","end":"11:47","startHours":10.788704570166097,"endHours":11.788704570166097,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:47","end":"12:47","startHours":11.788704570166097,"endHours":12.788704570166097,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:47","end":"13:47","startHours":12.788704570166097,"endHours":13.788704570166097,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:47","end":"14:47","startHours":13.788704570166097,"endHours":14.788704570166097,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:47","end":"15:47","startHours":14.788704570166097,"endHours":15.788704570166097,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:47","end":"16:47","startHours":15.788704570166097,"endHours":16.788704570166097,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:47","end":"17:47","startHours":16.788704570166097,"endHours":17.788704570166097,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:47","end":"18:47","startHours":17.788704570166097,"endHours":18.788704570166097,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:47","end":"19:47","startHours":18.788704570166097,"endHours":19.788704570166097,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:47","end":"20:47","startHours":19.788704570166097,"endHours":20.788704570166097,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:47","end":"21:47","startHours":20.788704570166097,"endHours":21.788704570166097,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:47","end":"22:47","startHours":21.788704570166097,"endHours":22.788704570166097,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:47","end":"23:47","startHours":22.788704570166097,"endHours":23.788704570166097,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:47","end":"00:47","startHours":23.788704570166097,"endHours":24.788704570166097,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:47","end":"01:47","startHours":24.788704570166097,"endHours":25.788704570166097,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:47","end":"02:47","startHours":25.788704570166097,"endHours":26.788704570166097,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:47","end":"03:47","startHours":26.788704570166097,"endHours":27.788704570166097,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:47","end":"04:47","startHours":27.788704570166097,"endHours":28.788704570166097,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:47","end":"05:47","startHours":28.788704570166097,"endHours":29.788704570166097,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"drikRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":12.056111612869596,"eotMinutes":-2.7978933159948465,"ayanamsa":24.3229}},"calendars":{"vikram_samvat":2090,"vikram_samvatsara":"Akṣaya","saka_samvat":1955,"saka_samvatsara":"Pramādī","bengali_samvat":1440,"malayalam_era":1209,"nanakshahi_year":564,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Dvādaśī · Vikram 2090 Akṣaya · Śaka 1955 Pramādī"},"festivals":[{"id":"simha-sankranti","name":"Siṁha Saṅkrānti","name_sanskrit":"सिंह सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Leo.","vrata":false,"detection":{"sun_rashi":"Siṃha"},"precedence":5}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 21, 2033 CE · Ṛṣikeśa · Vidhyamitra","description":"August 21, 2033 CE for Ṛṣikeśa: Kṛṣṇa Dvādaśī, sūryodaya 05:47, sūryāsta 18:52.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2033-08-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2033-08-21","sa":"https://sa.vidhyamitra.com/city/rishikesh/2033-08-21","hi":"https://hi.vidhyamitra.com/city/rishikesh/2033-08-21","x-default":"https://vidhyamitra.com/city/rishikesh/2033-08-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T13:46:04.645Z","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":"2026-05-15T13:46:04.645Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T13:46:04.645Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}