{"id":"vidhyamitra:city-day:rishikesh:2021-09-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2021-09-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2021-09-03","date_display":"September 3, 2021 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":2021,"month":9,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459460.770833,"kali_year":5123,"ahargana":1870995.2708,"sun":{"sidereal_longitude":135.8768,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":87.3313,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":311.4545,"elapsed_within_tithi_degrees":11.4545},"nakshatra":{"number":7,"name":"Punarvasu","pada":3,"moon_longitude":87.3313,"elapsed_within_degrees":7.3313},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":223.2081},"karana":{"half_tithi_index":51,"name":"Bālava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2021,"month":9,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2459460.770833,"ahargana":1870995.2708,"kali_year":5123,"ayanamsa_lahiri":24.1557,"grahas":{"sun":{"sidereal_longitude":136.62266999999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":88.03597000000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false,"latitude":2.9897},"mars":{"sidereal_longitude":147.81146999999999,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":160.79547000000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":301.2426700000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":176.50046999999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":283.8902700000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":45.6667,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":225.6667,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","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":2021,"month":9,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459460.770833,"kali_year":5123,"ahargana":1870995.2708,"sun":{"sidereal_longitude":135.8768,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":87.3313,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":311.4545,"elapsed_within_tithi_degrees":11.4545},"nakshatra":{"number":7,"name":"Punarvasu","pada":3,"moon_longitude":87.3313,"elapsed_within_degrees":7.3313},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":223.2081},"karana":{"half_tithi_index":51,"name":"Bālava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.99,"elongation":48.545},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.99,"opposition_distance":131.455}},"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":"05:54","sunsetLocal":"18:37","solarNoonLocal":"12:16","dayLengthHours":12.715113636139751,"dayLengthDisplay":"12 Hours 42 Mins 54 Secs","nightLengthDisplay":"11 Hours 17 Mins 06 Secs","moonriseLocal":"02:05","moonsetLocal":"15:57","rahuKala":{"name":"Rāhu Kāla","start":"10:40","end":"12:16","startHours":10.673562727139924,"endHours":12.262951931657394,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:27","end":"17:02","startHours":15.441730340692331,"endHours":17.0311195452098,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:30","end":"09:05","startHours":7.494784318104987,"endHours":9.084173522622455,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:52","end":"09:18","startHours":8.872254962020126,"endHours":9.296092083224785,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:26","end":"06:46","startHours":6.43519151509334,"endHours":6.774261212057067,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:41","startHours":11.839114810452735,"endHours":12.68678905286205,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:13","end":"05:03","startHours":4.210046628768884,"endHours":5.0577208711782005,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:51","end":"05:54","startHours":4.845802310575872,"endHours":5.905395113587518,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:23","end":"15:14","startHours":14.382137537680684,"endHours":15.229811780090001,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:25","end":"18:49","startHours":18.42050874972727,"endHours":18.820508749727267,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:37","end":"19:09","startHours":18.620508749727268,"endHours":19.15030515123309,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:22","end":"20:07","startHours":18.370508749727268,"endHours":20.120508749727268,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:41","startHours":23.83911481045273,"endHours":24.68678905286205,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:54","end":"07:30","startHours":5.905395113587518,"endHours":7.494784318104987,"quality":"neutral"},{"name":"Labha","start":"07:30","end":"09:05","startHours":7.494784318104987,"endHours":9.084173522622455,"quality":"auspicious"},{"name":"Amṛta","start":"09:05","end":"10:40","startHours":9.084173522622455,"endHours":10.673562727139924,"quality":"auspicious"},{"name":"Kāla","start":"10:40","end":"12:16","startHours":10.673562727139924,"endHours":12.262951931657394,"quality":"inauspicious"},{"name":"Śubha","start":"12:16","end":"13:51","startHours":12.262951931657394,"endHours":13.85234113617486,"quality":"auspicious"},{"name":"Roga","start":"13:51","end":"15:27","startHours":13.85234113617486,"endHours":15.441730340692331,"quality":"inauspicious"},{"name":"Udveg","start":"15:27","end":"17:02","startHours":15.441730340692331,"endHours":17.0311195452098,"quality":"inauspicious"},{"name":"Chala","start":"17:02","end":"18:37","startHours":17.0311195452098,"endHours":18.620508749727268,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:37","end":"20:02","startHours":18.620508749727268,"endHours":20.031119545209798,"quality":"inauspicious"},{"name":"Udveg","start":"20:02","end":"21:27","startHours":20.031119545209798,"endHours":21.44173034069233,"quality":"inauspicious"},{"name":"Chala","start":"21:27","end":"22:51","startHours":21.44173034069233,"endHours":22.85234113617486,"quality":"neutral"},{"name":"Labha","start":"22:51","end":"00:16","startHours":22.85234113617486,"endHours":24.26295193165739,"quality":"auspicious"},{"name":"Amṛta","start":"00:16","end":"01:40","startHours":24.26295193165739,"endHours":25.673562727139924,"quality":"auspicious"},{"name":"Kāla","start":"01:40","end":"03:05","startHours":25.673562727139924,"endHours":27.084173522622454,"quality":"inauspicious"},{"name":"Śubha","start":"03:05","end":"04:30","startHours":27.084173522622454,"endHours":28.494784318104983,"quality":"auspicious"},{"name":"Roga","start":"04:30","end":"05:54","startHours":28.494784318104983,"endHours":29.905395113587517,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:54","end":"06:54","startHours":5.905395113587518,"endHours":6.905395113587518,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:54","end":"07:54","startHours":6.905395113587518,"endHours":7.905395113587518,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:54","end":"08:54","startHours":7.905395113587518,"endHours":8.905395113587517,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:54","end":"09:54","startHours":8.905395113587517,"endHours":9.905395113587517,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:54","end":"10:54","startHours":9.905395113587517,"endHours":10.905395113587517,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:54","end":"11:54","startHours":10.905395113587517,"endHours":11.905395113587517,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:54","end":"12:54","startHours":11.905395113587517,"endHours":12.905395113587517,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:54","end":"13:54","startHours":12.905395113587517,"endHours":13.905395113587517,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:54","end":"14:54","startHours":13.905395113587517,"endHours":14.905395113587517,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:54","end":"15:54","startHours":14.905395113587517,"endHours":15.905395113587517,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:54","end":"16:54","startHours":15.905395113587517,"endHours":16.905395113587517,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:54","end":"17:54","startHours":16.905395113587517,"endHours":17.905395113587517,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:54","end":"18:54","startHours":17.905395113587517,"endHours":18.905395113587517,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:54","end":"19:54","startHours":18.905395113587517,"endHours":19.905395113587517,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:54","end":"20:54","startHours":19.905395113587517,"endHours":20.905395113587517,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:54","end":"21:54","startHours":20.905395113587517,"endHours":21.905395113587517,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:54","end":"22:54","startHours":21.905395113587517,"endHours":22.905395113587517,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:54","end":"23:54","startHours":22.905395113587517,"endHours":23.905395113587517,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:54","end":"00:54","startHours":23.905395113587517,"endHours":24.905395113587517,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:54","end":"01:54","startHours":24.905395113587517,"endHours":25.905395113587517,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:54","end":"02:54","startHours":25.905395113587517,"endHours":26.905395113587517,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:54","end":"03:54","startHours":26.905395113587517,"endHours":27.905395113587517,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:54","end":"04:54","startHours":27.905395113587517,"endHours":28.905395113587517,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:54","end":"05:54","startHours":28.905395113587517,"endHours":29.905395113587517,"planetary_lord":"Mars"}],"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","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South","rahuVasa":"South-East","anandadiYoga":{"name":"Sushira","quality":"Auspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":7.524072429386859,"eotMinutes":1.1524841005564963,"ayanamsa":24.1557}},"calendars":{"vikram_samvat":2078,"vikram_samvatsara":"Ānanda","saka_samvat":1943,"saka_samvatsara":"Plava","bengali_samvat":1428,"malayalam_era":1197,"nanakshahi_year":552,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Ekādaśī · Vikram 2078 Ānanda · Śaka 1943 Plava"},"festivals":[{"id":"indira-ekadashi","name":"Indirā Ekādaśī","name_sanskrit":"इन्दिरा एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Falls in Pitṛ Pakṣa; liberates ancestors from naraka.","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","lunar_month":"Bhādrapada"},"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":"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":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Punarvasu","url":"/day/-1626101-04-03","relevance":0.5}]},"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 September 3, 2021 CE · Ṛṣikeśa · Vidhyamitra","description":"September 3, 2021 CE for Ṛṣikeśa: Kṛṣṇa Ekādaśī, sūryodaya 05:54, sūryāsta 18:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2021-09-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2021-09-03","sa":"https://sa.vidhyamitra.com/city/rishikesh/2021-09-03","hi":"https://hi.vidhyamitra.com/city/rishikesh/2021-09-03","x-default":"https://vidhyamitra.com/city/rishikesh/2021-09-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T07:58:15.816Z","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":"2026-05-15T07:58:15.816Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T07:58:15.816Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}