{"id":"vidhyamitra:city-day:rishikesh:2002-08-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2002-08-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2002-08-21","date_display":"August 21, 2002 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":2002,"month":8,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452507.770833,"kali_year":5104,"ahargana":1864042.2708,"sun":{"sidereal_longitude":123.2971,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":282.067,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":158.7699,"elapsed_within_tithi_degrees":2.7699},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1,"moon_longitude":282.067,"elapsed_within_degrees":2.067},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":45.364},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2002,"month":8,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452507.770833,"ahargana":1864042.2708,"kali_year":5104,"ayanamsa_lahiri":23.8898,"grahas":{"sun":{"sidereal_longitude":123.94432499999999,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":282.25312499999995,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false,"latitude":-3.3424},"mars":{"sidereal_longitude":120.649225,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":148.674825,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":100.22522500000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"venus":{"sidereal_longitude":169.90112499999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":62.82872500000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":54.0701,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":234.0701,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":2002,"month":8,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452507.770833,"kali_year":5104,"ahargana":1864042.2708,"sun":{"sidereal_longitude":123.2971,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":282.067,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":158.7699,"elapsed_within_tithi_degrees":2.7699},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1,"moon_longitude":282.067,"elapsed_within_degrees":2.067},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":45.364},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.342,"elongation":158.77},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.342,"opposition_distance":21.23}},"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":"18:53","solarNoonLocal":"12:20","dayLengthHours":13.094001813361082,"dayLengthDisplay":"13 Hours 05 Mins 38 Secs","nightLengthDisplay":"10 Hours 54 Mins 22 Secs","moonriseLocal":"17:35","moonsetLocal":"04:11","rahuKala":{"name":"Rāhu Kāla","start":"12:20","end":"13:58","startHours":12.32879155526658,"endHours":13.965541781936714,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:25","end":"09:03","startHours":7.4185408752561735,"endHours":9.055291101926308,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:42","end":"12:20","startHours":10.692041328596444,"endHours":12.32879155526658,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:50","end":"09:16","startHours":8.83705773837029,"endHours":9.273524465482327,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:20","end":"06:41","startHours":6.327374057476083,"endHours":6.676547439165712,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:46","startHours":11.892324828154544,"endHours":12.765258282378616,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:02","end":"04:55","startHours":4.0359237401378945,"endHours":4.908857194361966,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:41","end":"05:47","startHours":4.690623830805948,"endHours":5.781790648586038,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:31","end":"15:23","startHours":14.51112519082676,"endHours":15.384058645050832,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:41","end":"19:05","startHours":18.675792461947122,"endHours":19.07579246194712,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:53","end":"19:25","startHours":18.87579246194712,"endHours":19.421375870837167,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:38","end":"20:23","startHours":18.62579246194712,"endHours":20.37579246194712,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:46","startHours":23.892324828154543,"endHours":24.765258282378618,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:47","end":"07:25","startHours":5.781790648586038,"endHours":7.4185408752561735,"quality":"auspicious"},{"name":"Amṛta","start":"07:25","end":"09:03","startHours":7.4185408752561735,"endHours":9.055291101926308,"quality":"auspicious"},{"name":"Kāla","start":"09:03","end":"10:42","startHours":9.055291101926308,"endHours":10.692041328596444,"quality":"inauspicious"},{"name":"Śubha","start":"10:42","end":"12:20","startHours":10.692041328596444,"endHours":12.32879155526658,"quality":"auspicious"},{"name":"Roga","start":"12:20","end":"13:58","startHours":12.32879155526658,"endHours":13.965541781936714,"quality":"inauspicious"},{"name":"Udveg","start":"13:58","end":"15:36","startHours":13.965541781936714,"endHours":15.602292008606849,"quality":"inauspicious"},{"name":"Chala","start":"15:36","end":"17:14","startHours":15.602292008606849,"endHours":17.239042235276987,"quality":"neutral"},{"name":"Labha","start":"17:14","end":"18:53","startHours":17.239042235276987,"endHours":18.87579246194712,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:53","end":"20:14","startHours":18.87579246194712,"endHours":20.239042235276987,"quality":"inauspicious"},{"name":"Chala","start":"20:14","end":"21:36","startHours":20.239042235276987,"endHours":21.602292008606852,"quality":"neutral"},{"name":"Labha","start":"21:36","end":"22:58","startHours":21.602292008606852,"endHours":22.965541781936714,"quality":"auspicious"},{"name":"Amṛta","start":"22:58","end":"00:20","startHours":22.965541781936714,"endHours":24.32879155526658,"quality":"auspicious"},{"name":"Kāla","start":"00:20","end":"01:42","startHours":24.32879155526658,"endHours":25.692041328596446,"quality":"inauspicious"},{"name":"Śubha","start":"01:42","end":"03:03","startHours":25.692041328596446,"endHours":27.055291101926308,"quality":"auspicious"},{"name":"Roga","start":"03:03","end":"04:25","startHours":27.055291101926308,"endHours":28.418540875256173,"quality":"inauspicious"},{"name":"Udveg","start":"04:25","end":"05:47","startHours":28.418540875256173,"endHours":29.78179064858604,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:47","end":"06:47","startHours":5.781790648586038,"endHours":6.781790648586038,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:47","end":"07:47","startHours":6.781790648586038,"endHours":7.781790648586038,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:47","end":"08:47","startHours":7.781790648586038,"endHours":8.781790648586039,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:47","end":"09:47","startHours":8.781790648586039,"endHours":9.781790648586039,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:47","end":"10:47","startHours":9.781790648586039,"endHours":10.781790648586039,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:47","end":"11:47","startHours":10.781790648586039,"endHours":11.781790648586039,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:47","end":"12:47","startHours":11.781790648586039,"endHours":12.781790648586039,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:47","end":"13:47","startHours":12.781790648586039,"endHours":13.781790648586039,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:47","end":"14:47","startHours":13.781790648586039,"endHours":14.781790648586039,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:47","end":"15:47","startHours":14.781790648586039,"endHours":15.781790648586039,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:47","end":"16:47","startHours":15.781790648586039,"endHours":16.78179064858604,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:47","end":"17:47","startHours":16.78179064858604,"endHours":17.78179064858604,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:47","end":"18:47","startHours":17.78179064858604,"endHours":18.78179064858604,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:47","end":"19:47","startHours":18.78179064858604,"endHours":19.78179064858604,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:47","end":"20:47","startHours":19.78179064858604,"endHours":20.78179064858604,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:47","end":"21:47","startHours":20.78179064858604,"endHours":21.78179064858604,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:47","end":"22:47","startHours":21.78179064858604,"endHours":22.78179064858604,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:47","end":"23:47","startHours":22.78179064858604,"endHours":23.78179064858604,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:47","end":"00:47","startHours":23.78179064858604,"endHours":24.78179064858604,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:47","end":"01:47","startHours":24.78179064858604,"endHours":25.78179064858604,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:47","end":"02:47","startHours":25.78179064858604,"endHours":26.78179064858604,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:47","end":"03:47","startHours":26.78179064858604,"endHours":27.78179064858604,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:47","end":"04:47","startHours":27.78179064858604,"endHours":28.78179064858604,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:47","end":"05:47","startHours":28.78179064858604,"endHours":29.78179064858604,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"South-West","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":12.224440050951863,"eotMinutes":-2.7978933159948465,"ayanamsa":23.8898}},"calendars":{"vikram_samvat":2059,"vikram_samvatsara":"Manmatha","saka_samvat":1924,"saka_samvatsara":"Citrabhānu","bengali_samvat":1409,"malayalam_era":1178,"nanakshahi_year":533,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Caturdaśī · Vikram 2059 Manmatha · Śaka 1924 Citrabhānu"},"festivals":[{"id":"onam","name":"Onam (Vāmana / King Bali)","name_sanskrit":"ओणम् (वामन-बलि स्मरण)","tradition":"Regional","associated_deity":"Vāmana + King Bali","significance":"Kerala festival; King Bali's annual return to Kerala. Aligned with Thiru-Onam (Śravaṇa nakshatra in Bhādrapada).","vrata":false,"detection":{"nakshatra_name":"Śravaṇa","lunar_month":"Bhādrapada"},"precedence":2},{"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":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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, 2002 CE · Ṛṣikeśa · Vidhyamitra","description":"August 21, 2002 CE for Ṛṣikeśa: Śukla Caturdaśī, sūryodaya 05:47, sūryāsta 18:53.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2002-08-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2002-08-21","sa":"https://sa.vidhyamitra.com/city/rishikesh/2002-08-21","hi":"https://hi.vidhyamitra.com/city/rishikesh/2002-08-21","x-default":"https://vidhyamitra.com/city/rishikesh/2002-08-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-17T01:35:37.029Z","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":"2026-05-17T01:35:37.029Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-17T01:35:37.029Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}