{"id":"vidhyamitra:city-day:rishikesh:2003-10-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2003-10-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2003-10-21","date_display":"October 21, 2003 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":2003,"month":10,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452933.770833,"kali_year":5105,"ahargana":1864468.2708,"sun":{"sidereal_longitude":182.5944,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":124.8917,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":302.2973,"elapsed_within_tithi_degrees":2.2973},"nakshatra":{"number":10,"name":"Maghā","pada":2,"moon_longitude":124.8917,"elapsed_within_degrees":4.8917},"yoga":{"number":24,"name":"Śukla","sum_longitude":307.486},"karana":{"half_tithi_index":50,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2003,"month":10,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452933.770833,"ahargana":1864468.2708,"kali_year":5105,"ayanamsa_lahiri":23.9061,"grahas":{"sun":{"sidereal_longitude":183.32534899999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":123.222849,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false,"latitude":4.4921},"mars":{"sidereal_longitude":309.652649,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":180.194349,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":137.30694900000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":200.059749,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":79.218549,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":31.4986,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":211.4986,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"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":2003,"month":10,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452933.770833,"kali_year":5105,"ahargana":1864468.2708,"sun":{"sidereal_longitude":182.5944,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":124.8917,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":302.2973,"elapsed_within_tithi_degrees":2.2973},"nakshatra":{"number":10,"name":"Maghā","pada":2,"moon_longitude":124.8917,"elapsed_within_degrees":4.8917},"yoga":{"number":24,"name":"Śukla","sum_longitude":307.486},"karana":{"half_tithi_index":50,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.492,"elongation":57.703},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.492,"opposition_distance":122.297}},"eclipse_window_40days":[{"offset_days":19,"type":"lunar","occurs":true,"moon_latitude":-0.607,"opposition_distance":1.076}]},"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":"06:22","sunsetLocal":"17:40","solarNoonLocal":"12:01","dayLengthHours":11.31038401720657,"dayLengthDisplay":"11 Hours 18 Mins 37 Secs","nightLengthDisplay":"12 Hours 41 Mins 23 Secs","moonriseLocal":"01:28","moonsetLocal":"14:33","rahuKala":{"name":"Rāhu Kāla","start":"14:51","end":"16:16","startHours":14.845932328189896,"endHours":16.25973033034072,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:11","end":"10:36","startHours":9.190740319586613,"endHours":10.604538321737433,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:01","end":"13:26","startHours":12.018336323888256,"endHours":13.432134326039076,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:00","end":"09:23","startHours":9.002233919299837,"endHours":9.37924671987339,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:50","end":"07:08","startHours":6.834410316001911,"endHours":7.136020556460753,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:38","end":"12:24","startHours":11.641323523314702,"endHours":12.395349124461807,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:51","end":"05:37","startHours":4.855093112990762,"endHours":5.609118714137866,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:25","end":"06:22","startHours":5.42061231385109,"endHours":6.363144315284971,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:54","end":"14:39","startHours":13.903400326756017,"endHours":14.657425927903121,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:28","end":"17:52","startHours":17.47352833249154,"endHours":17.87352833249154,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:40","end":"18:09","startHours":17.67352833249154,"endHours":18.14479433320848,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:25","end":"19:10","startHours":17.42352833249154,"endHours":19.17352833249154,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:38","end":"00:24","startHours":23.641323523314703,"endHours":24.39534912446181,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:22","end":"07:47","startHours":6.363144315284971,"endHours":7.7769423174357915,"quality":"inauspicious"},{"name":"Udveg","start":"07:47","end":"09:11","startHours":7.7769423174357915,"endHours":9.190740319586613,"quality":"inauspicious"},{"name":"Chala","start":"09:11","end":"10:36","startHours":9.190740319586613,"endHours":10.604538321737433,"quality":"neutral"},{"name":"Labha","start":"10:36","end":"12:01","startHours":10.604538321737433,"endHours":12.018336323888256,"quality":"auspicious"},{"name":"Amṛta","start":"12:01","end":"13:26","startHours":12.018336323888256,"endHours":13.432134326039076,"quality":"auspicious"},{"name":"Kāla","start":"13:26","end":"14:51","startHours":13.432134326039076,"endHours":14.845932328189896,"quality":"inauspicious"},{"name":"Śubha","start":"14:51","end":"16:16","startHours":14.845932328189896,"endHours":16.25973033034072,"quality":"auspicious"},{"name":"Roga","start":"16:16","end":"17:40","startHours":16.25973033034072,"endHours":17.67352833249154,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:40","end":"19:16","startHours":17.67352833249154,"endHours":19.25973033034072,"quality":"inauspicious"},{"name":"Śubha","start":"19:16","end":"20:51","startHours":19.25973033034072,"endHours":20.845932328189896,"quality":"auspicious"},{"name":"Roga","start":"20:51","end":"22:26","startHours":20.845932328189896,"endHours":22.432134326039076,"quality":"inauspicious"},{"name":"Udveg","start":"22:26","end":"00:01","startHours":22.432134326039076,"endHours":24.018336323888256,"quality":"inauspicious"},{"name":"Chala","start":"00:01","end":"01:36","startHours":24.018336323888256,"endHours":25.604538321737433,"quality":"neutral"},{"name":"Labha","start":"01:36","end":"03:11","startHours":25.604538321737433,"endHours":27.190740319586613,"quality":"auspicious"},{"name":"Amṛta","start":"03:11","end":"04:47","startHours":27.190740319586613,"endHours":28.77694231743579,"quality":"auspicious"},{"name":"Kāla","start":"04:47","end":"06:22","startHours":28.77694231743579,"endHours":30.36314431528497,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:22","end":"07:22","startHours":6.363144315284971,"endHours":7.363144315284971,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:22","end":"08:22","startHours":7.363144315284971,"endHours":8.36314431528497,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:22","end":"09:22","startHours":8.36314431528497,"endHours":9.36314431528497,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:22","end":"10:22","startHours":9.36314431528497,"endHours":10.36314431528497,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:22","end":"11:22","startHours":10.36314431528497,"endHours":11.36314431528497,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:22","end":"12:22","startHours":11.36314431528497,"endHours":12.36314431528497,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:22","end":"13:22","startHours":12.36314431528497,"endHours":13.36314431528497,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:22","end":"14:22","startHours":13.36314431528497,"endHours":14.36314431528497,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:22","end":"15:22","startHours":14.36314431528497,"endHours":15.36314431528497,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:22","end":"16:22","startHours":15.36314431528497,"endHours":16.36314431528497,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:22","end":"17:22","startHours":16.36314431528497,"endHours":17.36314431528497,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:22","end":"18:22","startHours":17.36314431528497,"endHours":18.36314431528497,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:22","end":"19:22","startHours":18.36314431528497,"endHours":19.36314431528497,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:22","end":"20:22","startHours":19.36314431528497,"endHours":20.36314431528497,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:22","end":"21:22","startHours":20.36314431528497,"endHours":21.36314431528497,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:22","end":"22:22","startHours":21.36314431528497,"endHours":22.36314431528497,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:22","end":"23:22","startHours":22.36314431528497,"endHours":23.36314431528497,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:22","end":"00:22","startHours":23.36314431528497,"endHours":24.36314431528497,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:22","end":"01:22","startHours":24.36314431528497,"endHours":25.36314431528497,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:22","end":"02:22","startHours":25.36314431528497,"endHours":26.36314431528497,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:22","end":"03:22","startHours":26.36314431528497,"endHours":27.36314431528497,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:22","end":"04:22","startHours":27.36314431528497,"endHours":28.36314431528497,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:22","end":"05:22","startHours":28.36314431528497,"endHours":29.36314431528497,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:22","end":"06:22","startHours":29.36314431528497,"endHours":30.36314431528497,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"West","rahuVasa":"North","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"drikRitu":"Śarad (Autumn)","vedicRitu":"Śarad (Autumn)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-10.48609088673162,"eotMinutes":15.829420566704727,"ayanamsa":23.9061}},"calendars":{"vikram_samvat":2060,"vikram_samvatsara":"Durmukhi","saka_samvat":1925,"saka_samvatsara":"Subhānu","bengali_samvat":1410,"malayalam_era":1179,"nanakshahi_year":534,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Ekādaśī · Vikram 2060 Durmukhi · Śaka 1925 Subhānu"},"festivals":[{"id":"utpanna-ekadashi","name":"Utpannā Ekādaśī","name_sanskrit":"उत्पन्ना एकादशी","tradition":"Vaishnava","associated_deity":"Ekādaśī Devī (born of Viṣṇu)","significance":"Birth-day of Ekādaśī Devī herself; first Ekādaśī observed historically.","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","lunar_month":"Kārtika"},"precedence":3},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5},{"id":"tula-sankranti","name":"Tulā Saṅkrānti","name_sanskrit":"तुला सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Libra.","vrata":false,"detection":{"sun_rashi":"Tulā"},"precedence":5}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 October 21, 2003 CE · Ṛṣikeśa · Vidhyamitra","description":"October 21, 2003 CE for Ṛṣikeśa: Kṛṣṇa Ekādaśī, sūryodaya 06:22, sūryāsta 17:40.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2003-10-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2003-10-21","sa":"https://sa.vidhyamitra.com/city/rishikesh/2003-10-21","hi":"https://hi.vidhyamitra.com/city/rishikesh/2003-10-21","x-default":"https://vidhyamitra.com/city/rishikesh/2003-10-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-16T18:03:18.794Z","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":"2026-05-16T18:03:18.794Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-16T18:03:18.794Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}