{"id":"vidhyamitra:city-day:rishikesh:2050-08-10:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2050-08-10","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2050-08-10","date_display":"August 10, 2050 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":2050,"month":8,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470028.770833,"kali_year":5152,"ahargana":1881563.2708,"sun":{"sidereal_longitude":112.3822,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":23.6581,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":271.2759,"elapsed_within_tithi_degrees":7.2759},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4,"moon_longitude":23.6581,"elapsed_within_degrees":10.3247},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":136.0403},"karana":{"half_tithi_index":45,"name":"Kaulava"},"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":2050,"month":8,"day":10,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2470028.770833,"ahargana":1881563.2708,"kali_year":5152,"ayanamsa_lahiri":24.5599,"grahas":{"sun":{"sidereal_longitude":113.08819399999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":27.19929400000001,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false,"latitude":0.162},"mars":{"sidereal_longitude":297.5223940000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":true},"mercury":{"sidereal_longitude":134.663094,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":110.62429399999996,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":158.154494,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":279.37299400000006,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":205.7232,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":25.7232,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":2050,"month":8,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470028.770833,"kali_year":5152,"ahargana":1881563.2708,"sun":{"sidereal_longitude":112.3822,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":23.6581,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":271.2759,"elapsed_within_tithi_degrees":7.2759},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4,"moon_longitude":23.6581,"elapsed_within_degrees":10.3247},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":136.0403},"karana":{"half_tithi_index":45,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.162,"elongation":88.724},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.162,"opposition_distance":91.276}},"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":"05:41","sunsetLocal":"19:03","solarNoonLocal":"12:22","dayLengthHours":13.371546920922967,"dayLengthDisplay":"13 Hours 22 Mins 18 Secs","nightLengthDisplay":"10 Hours 37 Mins 42 Secs","moonriseLocal":"23:52","moonsetLocal":"13:25","rahuKala":{"name":"Rāhu Kāla","start":"12:22","end":"14:02","startHours":12.366568393455974,"endHours":14.038011758571344,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:21","end":"09:01","startHours":7.352238298109861,"endHours":9.023681663225233,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:42","end":"12:22","startHours":10.695125028340602,"endHours":12.366568393455974,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:48","end":"09:15","startHours":8.800822547876516,"endHours":9.246540778573948,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:14","end":"06:36","startHours":6.237942721366281,"endHours":6.594517305924226,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:49","startHours":11.920850162758542,"endHours":12.812286624153407,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:54","end":"04:47","startHours":3.8979220102047614,"endHours":4.789358471599626,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:34","end":"05:41","startHours":4.56649935625091,"endHours":5.68079493299449,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:36","end":"15:29","startHours":14.595159546943133,"endHours":15.486596008337997,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:51","end":"19:15","startHours":18.85234185391746,"endHours":19.252341853917457,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:03","end":"19:37","startHours":19.052341853917458,"endHours":19.609489642289248,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:48","end":"20:33","startHours":18.802341853917458,"endHours":20.552341853917458,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:49","startHours":23.92085016275854,"endHours":24.81228662415341,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:41","end":"07:21","startHours":5.68079493299449,"endHours":7.352238298109861,"quality":"auspicious"},{"name":"Amṛta","start":"07:21","end":"09:01","startHours":7.352238298109861,"endHours":9.023681663225233,"quality":"auspicious"},{"name":"Kāla","start":"09:01","end":"10:42","startHours":9.023681663225233,"endHours":10.695125028340602,"quality":"inauspicious"},{"name":"Śubha","start":"10:42","end":"12:22","startHours":10.695125028340602,"endHours":12.366568393455974,"quality":"auspicious"},{"name":"Roga","start":"12:22","end":"14:02","startHours":12.366568393455974,"endHours":14.038011758571344,"quality":"inauspicious"},{"name":"Udveg","start":"14:02","end":"15:43","startHours":14.038011758571344,"endHours":15.709455123686716,"quality":"inauspicious"},{"name":"Chala","start":"15:43","end":"17:23","startHours":15.709455123686716,"endHours":17.380898488802085,"quality":"neutral"},{"name":"Labha","start":"17:23","end":"19:03","startHours":17.380898488802085,"endHours":19.052341853917458,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:03","end":"20:23","startHours":19.052341853917458,"endHours":20.38089848880209,"quality":"inauspicious"},{"name":"Chala","start":"20:23","end":"21:43","startHours":20.38089848880209,"endHours":21.709455123686716,"quality":"neutral"},{"name":"Labha","start":"21:43","end":"23:02","startHours":21.709455123686716,"endHours":23.038011758571344,"quality":"auspicious"},{"name":"Amṛta","start":"23:02","end":"00:22","startHours":23.038011758571344,"endHours":24.366568393455974,"quality":"auspicious"},{"name":"Kāla","start":"00:22","end":"01:42","startHours":24.366568393455974,"endHours":25.695125028340605,"quality":"inauspicious"},{"name":"Śubha","start":"01:42","end":"03:01","startHours":25.695125028340605,"endHours":27.023681663225233,"quality":"auspicious"},{"name":"Roga","start":"03:01","end":"04:21","startHours":27.023681663225233,"endHours":28.35223829810986,"quality":"inauspicious"},{"name":"Udveg","start":"04:21","end":"05:41","startHours":28.35223829810986,"endHours":29.68079493299449,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:41","end":"06:41","startHours":5.68079493299449,"endHours":6.68079493299449,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:41","end":"07:41","startHours":6.68079493299449,"endHours":7.68079493299449,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:41","end":"08:41","startHours":7.68079493299449,"endHours":8.680794932994491,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:41","end":"09:41","startHours":8.680794932994491,"endHours":9.680794932994491,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:41","end":"10:41","startHours":9.680794932994491,"endHours":10.680794932994491,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:41","end":"11:41","startHours":10.680794932994491,"endHours":11.680794932994491,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:41","end":"12:41","startHours":11.680794932994491,"endHours":12.680794932994491,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:41","end":"13:41","startHours":12.680794932994491,"endHours":13.680794932994491,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:41","end":"14:41","startHours":13.680794932994491,"endHours":14.680794932994491,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:41","end":"15:41","startHours":14.680794932994491,"endHours":15.680794932994491,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:41","end":"16:41","startHours":15.680794932994491,"endHours":16.68079493299449,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:41","end":"17:41","startHours":16.68079493299449,"endHours":17.68079493299449,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:41","end":"18:41","startHours":17.68079493299449,"endHours":18.68079493299449,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:41","end":"19:41","startHours":18.68079493299449,"endHours":19.68079493299449,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:41","end":"20:41","startHours":19.68079493299449,"endHours":20.68079493299449,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:41","end":"21:41","startHours":20.68079493299449,"endHours":21.68079493299449,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:41","end":"22:41","startHours":21.68079493299449,"endHours":22.68079493299449,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:41","end":"23:41","startHours":22.68079493299449,"endHours":23.68079493299449,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:41","end":"00:41","startHours":23.68079493299449,"endHours":24.68079493299449,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:41","end":"01:41","startHours":24.68079493299449,"endHours":25.68079493299449,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:41","end":"02:41","startHours":25.68079493299449,"endHours":26.68079493299449,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:41","end":"03:41","startHours":26.68079493299449,"endHours":27.68079493299449,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:41","end":"04:41","startHours":27.68079493299449,"endHours":28.68079493299449,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:41","end":"05:41","startHours":28.68079493299449,"endHours":29.68079493299449,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Padma","quality":"Auspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":15.542037685532536,"eotMinutes":-5.064503607358518,"ayanamsa":24.5599}},"calendars":{"vikram_samvat":2107,"vikram_samvatsara":"Subhānu","saka_samvat":1972,"saka_samvatsara":"Pramoda","bengali_samvat":1457,"malayalam_era":1226,"nanakshahi_year":581,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Aṣṭamī · Vikram 2107 Subhānu · Śaka 1972 Pramoda"},"festivals":[{"id":"karka-sankranti","name":"Karka Saṅkrānti (Dakṣiṇāyana)","name_sanskrit":"कर्क सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Cancer; Dakṣiṇāyana (south-going) begins. Devatā-rātri begins.","vrata":true,"detection":{"sun_rashi":"Karka"},"precedence":2}],"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":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Kṛṣṇa Aṣṭamī","url":"/day/-3226-07-09","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 August 10, 2050 CE · Ṛṣikeśa · Vidhyamitra","description":"August 10, 2050 CE for Ṛṣikeśa: Kṛṣṇa Aṣṭamī, sūryodaya 05:41, sūryāsta 19:03.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2050-08-10","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2050-08-10","sa":"https://sa.vidhyamitra.com/city/rishikesh/2050-08-10","hi":"https://hi.vidhyamitra.com/city/rishikesh/2050-08-10","x-default":"https://vidhyamitra.com/city/rishikesh/2050-08-10"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-21T20:43:42.494Z","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":"2026-05-21T20:43:42.494Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-21T20:43:42.494Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}