{"id":"vidhyamitra:city-day:rishikesh:2050-10-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2050-10-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2050-10-21","date_display":"October 21, 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":10,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470100.770833,"kali_year":5152,"ahargana":1881635.2708,"sun":{"sidereal_longitude":182.4334,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":244.6962,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":62.2629,"elapsed_within_tithi_degrees":2.2629},"nakshatra":{"number":19,"name":"Mūla","pada":2,"moon_longitude":244.6962,"elapsed_within_degrees":4.6962},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":67.1296},"karana":{"half_tithi_index":10,"name":"Kaulava"},"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":2050,"month":10,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2470100.770833,"ahargana":1881635.2708,"kali_year":5152,"ayanamsa_lahiri":24.5627,"grahas":{"sun":{"sidereal_longitude":183.27894300000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":242.70274300000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false,"latitude":3.0551},"mars":{"sidereal_longitude":299.82544299999995,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":191.84734300000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":125.01914299999999,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":175.91234299999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":true},"saturn":{"sidereal_longitude":277.205743,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":201.9083,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":21.9083,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":2050,"month":10,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470100.770833,"kali_year":5152,"ahargana":1881635.2708,"sun":{"sidereal_longitude":182.4334,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":244.6962,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":62.2629,"elapsed_within_tithi_degrees":2.2629},"nakshatra":{"number":19,"name":"Mūla","pada":2,"moon_longitude":244.6962,"elapsed_within_degrees":4.6962},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":67.1296},"karana":{"half_tithi_index":10,"name":"Kaulava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.055,"elongation":62.263},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.055,"opposition_distance":117.737}},"eclipse_window_40days":[{"offset_days":9,"type":"lunar","occurs":true,"moon_latitude":0.786,"opposition_distance":0.07}]},"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":11.292899976715116,"dayLengthDisplay":"11 Hours 17 Mins 34 Secs","nightLengthDisplay":"12 Hours 42 Mins 26 Secs","moonriseLocal":"10:54","moonsetLocal":"21:04","rahuKala":{"name":"Rāhu Kāla","start":"10:36","end":"12:01","startHours":10.606723826798866,"endHours":12.018336323888256,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:50","end":"16:15","startHours":14.841561318067033,"endHours":16.253173815156423,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:47","end":"09:12","startHours":7.7834988326200865,"endHours":9.195111329709476,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:00","end":"09:23","startHours":9.006896330097558,"endHours":9.383326329321395,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:51","end":"07:09","startHours":6.842423834560494,"endHours":7.143567833939564,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:39","end":"12:24","startHours":11.641906324664417,"endHours":12.394766323112092,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:52","end":"05:37","startHours":4.866166338635349,"endHours":5.619026337083023,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:26","end":"06:22","startHours":5.430811337471105,"endHours":6.371886335530697,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:54","end":"14:39","startHours":13.900486320007442,"endHours":14.653346318455116,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:28","end":"17:52","startHours":17.464786312245813,"endHours":17.864786312245812,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:40","end":"18:08","startHours":17.664786312245813,"endHours":18.135323811275608,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:25","end":"19:10","startHours":17.414786312245813,"endHours":19.164786312245813,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:39","end":"00:24","startHours":23.64190632466442,"endHours":24.394766323112094,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:22","end":"07:47","startHours":6.371886335530697,"endHours":7.7834988326200865,"quality":"neutral"},{"name":"Labha","start":"07:47","end":"09:12","startHours":7.7834988326200865,"endHours":9.195111329709476,"quality":"auspicious"},{"name":"Amṛta","start":"09:12","end":"10:36","startHours":9.195111329709476,"endHours":10.606723826798866,"quality":"auspicious"},{"name":"Kāla","start":"10:36","end":"12:01","startHours":10.606723826798866,"endHours":12.018336323888256,"quality":"inauspicious"},{"name":"Śubha","start":"12:01","end":"13:26","startHours":12.018336323888256,"endHours":13.429948820977646,"quality":"auspicious"},{"name":"Roga","start":"13:26","end":"14:50","startHours":13.429948820977646,"endHours":14.841561318067033,"quality":"inauspicious"},{"name":"Udveg","start":"14:50","end":"16:15","startHours":14.841561318067033,"endHours":16.253173815156423,"quality":"inauspicious"},{"name":"Chala","start":"16:15","end":"17:40","startHours":16.253173815156423,"endHours":17.664786312245813,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:40","end":"19:15","startHours":17.664786312245813,"endHours":19.253173815156423,"quality":"inauspicious"},{"name":"Udveg","start":"19:15","end":"20:50","startHours":19.253173815156423,"endHours":20.841561318067033,"quality":"inauspicious"},{"name":"Chala","start":"20:50","end":"22:26","startHours":20.841561318067033,"endHours":22.429948820977643,"quality":"neutral"},{"name":"Labha","start":"22:26","end":"00:01","startHours":22.429948820977643,"endHours":24.018336323888256,"quality":"auspicious"},{"name":"Amṛta","start":"00:01","end":"01:36","startHours":24.018336323888256,"endHours":25.606723826798863,"quality":"auspicious"},{"name":"Kāla","start":"01:36","end":"03:12","startHours":25.606723826798863,"endHours":27.195111329709476,"quality":"inauspicious"},{"name":"Śubha","start":"03:12","end":"04:47","startHours":27.195111329709476,"endHours":28.783498832620086,"quality":"auspicious"},{"name":"Roga","start":"04:47","end":"06:22","startHours":28.783498832620086,"endHours":30.371886335530696,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:22","end":"07:22","startHours":6.371886335530697,"endHours":7.371886335530697,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:22","end":"08:22","startHours":7.371886335530697,"endHours":8.371886335530696,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:22","end":"09:22","startHours":8.371886335530696,"endHours":9.371886335530696,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:22","end":"10:22","startHours":9.371886335530696,"endHours":10.371886335530696,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:22","end":"11:22","startHours":10.371886335530696,"endHours":11.371886335530696,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:22","end":"12:22","startHours":11.371886335530696,"endHours":12.371886335530696,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:22","end":"13:22","startHours":12.371886335530696,"endHours":13.371886335530696,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:22","end":"14:22","startHours":13.371886335530696,"endHours":14.371886335530696,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:22","end":"15:22","startHours":14.371886335530696,"endHours":15.371886335530696,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:22","end":"16:22","startHours":15.371886335530696,"endHours":16.371886335530696,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:22","end":"17:22","startHours":16.371886335530696,"endHours":17.371886335530696,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:22","end":"18:22","startHours":17.371886335530696,"endHours":18.371886335530696,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:22","end":"19:22","startHours":18.371886335530696,"endHours":19.371886335530696,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:22","end":"20:22","startHours":19.371886335530696,"endHours":20.371886335530696,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:22","end":"21:22","startHours":20.371886335530696,"endHours":21.371886335530696,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:22","end":"22:22","startHours":21.371886335530696,"endHours":22.371886335530696,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:22","end":"23:22","startHours":22.371886335530696,"endHours":23.371886335530696,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:22","end":"00:22","startHours":23.371886335530696,"endHours":24.371886335530696,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:22","end":"01:22","startHours":24.371886335530696,"endHours":25.371886335530696,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:22","end":"02:22","startHours":25.371886335530696,"endHours":26.371886335530696,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:22","end":"03:22","startHours":26.371886335530696,"endHours":27.371886335530696,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:22","end":"04:22","startHours":27.371886335530696,"endHours":28.371886335530696,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:22","end":"05:22","startHours":28.371886335530696,"endHours":29.371886335530696,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:22","end":"06:22","startHours":29.371886335530696,"endHours":30.371886335530696,"planetary_lord":"Mars"}],"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","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"South-East","anandadiYoga":{"name":"Chatra","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-10.705023537304214,"eotMinutes":15.829420566704727,"ayanamsa":24.5627}},"calendars":{"vikram_samvat":2107,"vikram_samvatsara":"Subhānu","saka_samvat":1972,"saka_samvatsara":"Pramoda","bengali_samvat":1457,"malayalam_era":1226,"nanakshahi_year":581,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Ṣaṣṭhī · Vikram 2107 Subhānu · Śaka 1972 Pramoda"},"festivals":[],"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":[]},"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, 2050 CE · Ṛṣikeśa · Vidhyamitra","description":"October 21, 2050 CE for Ṛṣikeśa: Śukla Ṣaṣṭhī, sūryodaya 06:22, sūryāsta 17:40.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2050-10-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2050-10-21","sa":"https://sa.vidhyamitra.com/city/rishikesh/2050-10-21","hi":"https://hi.vidhyamitra.com/city/rishikesh/2050-10-21","x-default":"https://vidhyamitra.com/city/rishikesh/2050-10-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T22:27:52.215Z","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":"2026-06-01T22:27:52.215Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T22:27:52.215Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}