{"id":"vidhyamitra:city-day:rishikesh:2021-08-26:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2021-08-26","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2021-08-26","date_display":"August 26, 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":8,"day":26,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459452.770833,"kali_year":5123,"ahargana":1870987.2708,"sun":{"sidereal_longitude":128.1745,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":352.8357,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":224.6612,"elapsed_within_tithi_degrees":8.6612},"nakshatra":{"number":27,"name":"Revatī","pada":2,"moon_longitude":352.8357,"elapsed_within_degrees":6.169},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":121.0101},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":8,"day":26,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2459452.770833,"ahargana":1870987.2708,"kali_year":5123,"ayanamsa_lahiri":24.1554,"grahas":{"sun":{"sidereal_longitude":128.889975,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":351.734675,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false,"latitude":-3.6045},"mars":{"sidereal_longitude":142.700875,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":149.340575,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":302.251475,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":167.148375,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":284.37097500000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":46.0906,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":226.0906,"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":8,"day":26,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459452.770833,"kali_year":5123,"ahargana":1870987.2708,"sun":{"sidereal_longitude":128.1745,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":352.8357,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":224.6612,"elapsed_within_tithi_degrees":8.6612},"nakshatra":{"number":27,"name":"Revatī","pada":2,"moon_longitude":352.8357,"elapsed_within_degrees":6.169},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":121.0101},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.605,"elongation":135.339},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.605,"opposition_distance":44.661}},"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":"05:50","sunsetLocal":"18:47","solarNoonLocal":"12:18","dayLengthHours":12.944152742025178,"dayLengthDisplay":"12 Hours 56 Mins 39 Secs","nightLengthDisplay":"11 Hours 03 Mins 21 Secs","moonriseLocal":"20:52","moonsetLocal":"09:27","rahuKala":{"name":"Rāhu Kāla","start":"13:55","end":"15:33","startHours":13.923771094943424,"endHours":15.54179018769657,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:50","end":"07:27","startHours":5.833675631177687,"endHours":7.451694723930835,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:04","end":"10:41","startHours":9.069713816683983,"endHours":10.687732909437129,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:51","end":"09:17","startHours":8.853977937650228,"endHours":9.285449695717734,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:22","end":"06:43","startHours":6.37301532876207,"endHours":6.718192735216075,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:52","end":"12:44","startHours":11.87428024412277,"endHours":12.737223760257782,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:06","end":"04:58","startHours":4.107788598907664,"endHours":4.970732115042676,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:45","end":"05:50","startHours":4.754996236008923,"endHours":5.833675631177687,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:28","end":"15:20","startHours":14.463110792527806,"endHours":15.326054308662817,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:35","end":"18:59","startHours":18.577828373202866,"endHours":18.977828373202865,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:47","end":"19:19","startHours":18.777828373202865,"endHours":19.317168070787247,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:32","end":"20:17","startHours":18.527828373202865,"endHours":20.277828373202865,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:52","end":"00:44","startHours":23.87428024412277,"endHours":24.73722376025778,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:50","end":"07:27","startHours":5.833675631177687,"endHours":7.451694723930835,"quality":"auspicious"},{"name":"Roga","start":"07:27","end":"09:04","startHours":7.451694723930835,"endHours":9.069713816683983,"quality":"inauspicious"},{"name":"Udveg","start":"09:04","end":"10:41","startHours":9.069713816683983,"endHours":10.687732909437129,"quality":"inauspicious"},{"name":"Chala","start":"10:41","end":"12:18","startHours":10.687732909437129,"endHours":12.305752002190276,"quality":"neutral"},{"name":"Labha","start":"12:18","end":"13:55","startHours":12.305752002190276,"endHours":13.923771094943424,"quality":"auspicious"},{"name":"Amṛta","start":"13:55","end":"15:33","startHours":13.923771094943424,"endHours":15.54179018769657,"quality":"auspicious"},{"name":"Kāla","start":"15:33","end":"17:10","startHours":15.54179018769657,"endHours":17.159809280449718,"quality":"inauspicious"},{"name":"Śubha","start":"17:10","end":"18:47","startHours":17.159809280449718,"endHours":18.777828373202865,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:47","end":"20:10","startHours":18.777828373202865,"endHours":20.159809280449718,"quality":"auspicious"},{"name":"Kāla","start":"20:10","end":"21:33","startHours":20.159809280449718,"endHours":21.54179018769657,"quality":"inauspicious"},{"name":"Śubha","start":"21:33","end":"22:55","startHours":21.54179018769657,"endHours":22.923771094943426,"quality":"auspicious"},{"name":"Roga","start":"22:55","end":"00:18","startHours":22.923771094943426,"endHours":24.305752002190275,"quality":"inauspicious"},{"name":"Udveg","start":"00:18","end":"01:41","startHours":24.305752002190275,"endHours":25.68773290943713,"quality":"inauspicious"},{"name":"Chala","start":"01:41","end":"03:04","startHours":25.68773290943713,"endHours":27.069713816683983,"quality":"neutral"},{"name":"Labha","start":"03:04","end":"04:27","startHours":27.069713816683983,"endHours":28.451694723930835,"quality":"auspicious"},{"name":"Amṛta","start":"04:27","end":"05:50","startHours":28.451694723930835,"endHours":29.833675631177687,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:50","end":"06:50","startHours":5.833675631177687,"endHours":6.833675631177687,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:50","end":"07:50","startHours":6.833675631177687,"endHours":7.833675631177687,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:50","end":"08:50","startHours":7.833675631177687,"endHours":8.833675631177687,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:50","end":"09:50","startHours":8.833675631177687,"endHours":9.833675631177687,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:50","end":"10:50","startHours":9.833675631177687,"endHours":10.833675631177687,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:50","end":"11:50","startHours":10.833675631177687,"endHours":11.833675631177687,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:50","end":"12:50","startHours":11.833675631177687,"endHours":12.833675631177687,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:50","end":"13:50","startHours":12.833675631177687,"endHours":13.833675631177687,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:50","end":"14:50","startHours":13.833675631177687,"endHours":14.833675631177687,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:50","end":"15:50","startHours":14.833675631177687,"endHours":15.833675631177687,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:50","end":"16:50","startHours":15.833675631177687,"endHours":16.833675631177687,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:50","end":"17:50","startHours":16.833675631177687,"endHours":17.833675631177687,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:50","end":"18:50","startHours":17.833675631177687,"endHours":18.833675631177687,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:50","end":"19:50","startHours":18.833675631177687,"endHours":19.833675631177687,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:50","end":"20:50","startHours":19.833675631177687,"endHours":20.833675631177687,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:50","end":"21:50","startHours":20.833675631177687,"endHours":21.833675631177687,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:50","end":"22:50","startHours":21.833675631177687,"endHours":22.833675631177687,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:50","end":"23:50","startHours":22.833675631177687,"endHours":23.833675631177687,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:50","end":"00:50","startHours":23.833675631177687,"endHours":24.833675631177687,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:50","end":"01:50","startHours":24.833675631177687,"endHours":25.833675631177687,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:50","end":"02:50","startHours":25.833675631177687,"endHours":26.833675631177687,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:50","end":"03:50","startHours":26.833675631177687,"endHours":27.833675631177687,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:50","end":"04:50","startHours":27.833675631177687,"endHours":28.833675631177687,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:50","end":"05:50","startHours":28.833675631177687,"endHours":29.833675631177687,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-West","rahuVasa":"North-West","anandadiYoga":{"name":"Lumba","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":10.386421942939219,"eotMinutes":-1.4155201314165708,"ayanamsa":24.1554}},"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 Caturthī · Vikram 2078 Ānanda · Śaka 1943 Plava"},"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},{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 26, 2021 CE · Ṛṣikeśa · Vidhyamitra","description":"August 26, 2021 CE for Ṛṣikeśa: Kṛṣṇa Caturthī, sūryodaya 05:50, sūryāsta 18:47.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2021-08-26","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2021-08-26","sa":"https://sa.vidhyamitra.com/city/rishikesh/2021-08-26","hi":"https://hi.vidhyamitra.com/city/rishikesh/2021-08-26","x-default":"https://vidhyamitra.com/city/rishikesh/2021-08-26"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T10:27:01.217Z","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":"2026-05-15T10:27:01.217Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T10:27:01.217Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}