{"id":"vidhyamitra:city-day:rishikesh:2050-10-11:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2050-10-11","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2050-10-11","date_display":"October 11, 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":11,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470090.770833,"kali_year":5152,"ahargana":1881625.2708,"sun":{"sidereal_longitude":172.5028,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":117.8423,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":305.3395,"elapsed_within_tithi_degrees":5.3395},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4,"moon_longitude":117.8423,"elapsed_within_degrees":11.1757},"yoga":{"number":22,"name":"Sādhya","sum_longitude":290.3451},"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":2050,"month":10,"day":11,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2470090.770833,"ahargana":1881625.2708,"kali_year":5152,"ayanamsa_lahiri":24.5623,"grahas":{"sun":{"sidereal_longitude":173.36632600000007,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":120.84562600000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false,"latitude":-4.48},"mars":{"sidereal_longitude":296.145226,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":175.516926,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":123.335126,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":181.88952600000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":true},"saturn":{"sidereal_longitude":277.0399259999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":202.4381,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":22.4381,"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":11,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470090.770833,"kali_year":5152,"ahargana":1881625.2708,"sun":{"sidereal_longitude":172.5028,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":117.8423,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":305.3395,"elapsed_within_tithi_degrees":5.3395},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4,"moon_longitude":117.8423,"elapsed_within_degrees":11.1757},"yoga":{"number":22,"name":"Sādhya","sum_longitude":290.3451},"karana":{"half_tithi_index":50,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.48,"elongation":54.66},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.48,"opposition_distance":125.34}},"eclipse_window_40days":[{"offset_days":19,"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":"06:15","sunsetLocal":"17:50","solarNoonLocal":"12:03","dayLengthHours":11.583107152185477,"dayLengthDisplay":"11 Hours 34 Mins 59 Secs","nightLengthDisplay":"12 Hours 25 Mins 01 Secs","moonriseLocal":"01:59","moonsetLocal":"15:07","rahuKala":{"name":"Rāhu Kāla","start":"14:57","end":"16:24","startHours":14.94483055477587,"endHours":16.392718948799054,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:09","end":"10:36","startHours":9.153276978683131,"endHours":10.601165372706316,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:03","end":"13:30","startHours":12.0490537667295,"endHours":13.496942160752685,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:58","end":"09:21","startHours":8.960225192813374,"endHours":9.34632876455289,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:44","end":"07:03","startHours":6.740129655311158,"endHours":7.04901251270277,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:40","end":"12:26","startHours":11.662950194989984,"endHours":12.435157338469017,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:43","end":"05:29","startHours":4.713085903678699,"endHours":5.485293047157731,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:18","end":"06:15","startHours":5.292241261287973,"endHours":6.257500190636763,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:59","end":"14:45","startHours":13.97957162542708,"endHours":14.751778768906112,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:38","end":"18:02","startHours":17.64060734282224,"endHours":18.040607342822238,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:50","end":"18:19","startHours":17.84060734282224,"endHours":18.323236807496635,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:35","end":"19:20","startHours":17.59060734282224,"endHours":19.34060734282224,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:40","end":"00:26","startHours":23.662950194989985,"endHours":24.435157338469015,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:15","end":"07:42","startHours":6.257500190636763,"endHours":7.705388584659947,"quality":"inauspicious"},{"name":"Udveg","start":"07:42","end":"09:09","startHours":7.705388584659947,"endHours":9.153276978683131,"quality":"inauspicious"},{"name":"Chala","start":"09:09","end":"10:36","startHours":9.153276978683131,"endHours":10.601165372706316,"quality":"neutral"},{"name":"Labha","start":"10:36","end":"12:03","startHours":10.601165372706316,"endHours":12.0490537667295,"quality":"auspicious"},{"name":"Amṛta","start":"12:03","end":"13:30","startHours":12.0490537667295,"endHours":13.496942160752685,"quality":"auspicious"},{"name":"Kāla","start":"13:30","end":"14:57","startHours":13.496942160752685,"endHours":14.94483055477587,"quality":"inauspicious"},{"name":"Śubha","start":"14:57","end":"16:24","startHours":14.94483055477587,"endHours":16.392718948799054,"quality":"auspicious"},{"name":"Roga","start":"16:24","end":"17:50","startHours":16.392718948799054,"endHours":17.84060734282224,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:50","end":"19:24","startHours":17.84060734282224,"endHours":19.392718948799054,"quality":"inauspicious"},{"name":"Śubha","start":"19:24","end":"20:57","startHours":19.392718948799054,"endHours":20.94483055477587,"quality":"auspicious"},{"name":"Roga","start":"20:57","end":"22:30","startHours":20.94483055477587,"endHours":22.496942160752685,"quality":"inauspicious"},{"name":"Udveg","start":"22:30","end":"00:03","startHours":22.496942160752685,"endHours":24.0490537667295,"quality":"inauspicious"},{"name":"Chala","start":"00:03","end":"01:36","startHours":24.0490537667295,"endHours":25.601165372706316,"quality":"neutral"},{"name":"Labha","start":"01:36","end":"03:09","startHours":25.601165372706316,"endHours":27.15327697868313,"quality":"auspicious"},{"name":"Amṛta","start":"03:09","end":"04:42","startHours":27.15327697868313,"endHours":28.705388584659946,"quality":"auspicious"},{"name":"Kāla","start":"04:42","end":"06:15","startHours":28.705388584659946,"endHours":30.25750019063676,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:15","end":"07:15","startHours":6.257500190636763,"endHours":7.257500190636763,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:15","end":"08:15","startHours":7.257500190636763,"endHours":8.257500190636762,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:15","end":"09:15","startHours":8.257500190636762,"endHours":9.257500190636762,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:15","end":"10:15","startHours":9.257500190636762,"endHours":10.257500190636762,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:15","end":"11:15","startHours":10.257500190636762,"endHours":11.257500190636762,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:15","end":"12:15","startHours":11.257500190636762,"endHours":12.257500190636762,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:15","end":"13:15","startHours":12.257500190636762,"endHours":13.257500190636762,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:15","end":"14:15","startHours":13.257500190636762,"endHours":14.257500190636762,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:15","end":"15:15","startHours":14.257500190636762,"endHours":15.257500190636762,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:15","end":"16:15","startHours":15.257500190636762,"endHours":16.25750019063676,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:15","end":"17:15","startHours":16.25750019063676,"endHours":17.25750019063676,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:15","end":"18:15","startHours":17.25750019063676,"endHours":18.25750019063676,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:15","end":"19:15","startHours":18.25750019063676,"endHours":19.25750019063676,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:15","end":"20:15","startHours":19.25750019063676,"endHours":20.25750019063676,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:15","end":"21:15","startHours":20.25750019063676,"endHours":21.25750019063676,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:15","end":"22:15","startHours":21.25750019063676,"endHours":22.25750019063676,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:15","end":"23:15","startHours":22.25750019063676,"endHours":23.25750019063676,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:15","end":"00:15","startHours":23.25750019063676,"endHours":24.25750019063676,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:15","end":"01:15","startHours":24.25750019063676,"endHours":25.25750019063676,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:15","end":"02:15","startHours":25.25750019063676,"endHours":26.25750019063676,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:15","end":"03:15","startHours":26.25750019063676,"endHours":27.25750019063676,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:15","end":"04:15","startHours":27.25750019063676,"endHours":28.25750019063676,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:15","end":"05:15","startHours":28.25750019063676,"endHours":29.25750019063676,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:15","end":"06:15","startHours":29.25750019063676,"endHours":30.25750019063676,"planetary_lord":"Saturn"}],"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","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"West","rahuVasa":"North","anandadiYoga":{"name":"Mṛtyu","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-7.032641812142065,"eotMinutes":13.986373996230075,"ayanamsa":24.5623}},"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 Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Bhādrapada","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Ekādaśī · Vikram 2107 Subhānu · Śaka 1972 Pramoda"},"festivals":[{"id":"rama-ekadashi","name":"Ramā Ekādaśī","name_sanskrit":"रमा एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu (with Ramā = Lakṣmī)","significance":"Lakṣmī (Ramā) granted boon to King Mucukunda.","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","lunar_month":"Āśvina"},"precedence":4},{"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}],"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 11, 2050 CE · Ṛṣikeśa · Vidhyamitra","description":"October 11, 2050 CE for Ṛṣikeśa: Kṛṣṇa Ekādaśī, sūryodaya 06:15, sūryāsta 17:50.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2050-10-11","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2050-10-11","sa":"https://sa.vidhyamitra.com/city/rishikesh/2050-10-11","hi":"https://hi.vidhyamitra.com/city/rishikesh/2050-10-11","x-default":"https://vidhyamitra.com/city/rishikesh/2050-10-11"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T12:16:27.740Z","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":"2026-05-31T12:16:27.740Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T12:16:27.740Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}