{"id":"vidhyamitra:city-day:rishikesh:2084-10-11:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2084-10-11","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2084-10-11","date_display":"October 11, 2084 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":2084,"month":10,"day":11,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2482509.770833,"kali_year":5186,"ahargana":1894044.2708,"sun":{"sidereal_longitude":172.703,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":318.1741,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":145.4712,"elapsed_within_tithi_degrees":1.4712},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":318.1741,"elapsed_within_degrees":11.5075},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":130.8771},"karana":{"half_tithi_index":24,"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":2084,"month":10,"day":11,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2482509.770833,"ahargana":1894044.2708,"kali_year":5186,"ayanamsa_lahiri":25.0373,"grahas":{"sun":{"sidereal_longitude":173.64932799999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":317.6060279999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false,"latitude":3.6279},"mars":{"sidereal_longitude":30.670628000000022,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":true},"mercury":{"sidereal_longitude":189.02482799999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":79.03382799999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":137.92602799999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":333.731528,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":264.4198,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":84.4198,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"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":2084,"month":10,"day":11,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2482509.770833,"kali_year":5186,"ahargana":1894044.2708,"sun":{"sidereal_longitude":172.703,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":318.1741,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":145.4712,"elapsed_within_tithi_degrees":1.4712},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":318.1741,"elapsed_within_degrees":11.5075},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":130.8771},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.628,"elongation":145.471},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.628,"opposition_distance":34.529}},"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":"06:16","sunsetLocal":"17:50","solarNoonLocal":"12:03","dayLengthHours":11.56051519954623,"dayLengthDisplay":"11 Hours 33 Mins 38 Secs","nightLengthDisplay":"12 Hours 26 Mins 22 Secs","moonriseLocal":"15:52","moonsetLocal":"03:26","rahuKala":{"name":"Rāhu Kāla","start":"12:03","end":"13:30","startHours":12.0490537667295,"endHours":13.494118166672777,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:43","end":"09:10","startHours":7.713860566899663,"endHours":9.158924966842942,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:36","end":"12:03","startHours":10.60398936678622,"endHours":12.0490537667295,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:58","end":"09:21","startHours":8.966249713517172,"endHours":9.351600220168713,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:45","end":"07:04","startHours":6.75048430027081,"endHours":7.058764705592043,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:40","end":"12:26","startHours":11.663703260077959,"endHours":12.434404273381041,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:44","end":"05:30","startHours":4.72739414035022,"endHours":5.498095153653302,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:18","end":"06:16","startHours":5.305419900327531,"endHours":6.268796166956384,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:59","end":"14:45","startHours":13.975806299987205,"endHours":14.746507313290287,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:38","end":"18:02","startHours":17.629311366502616,"endHours":18.029311366502615,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:50","end":"18:19","startHours":17.829311366502615,"endHours":18.310999499817044,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:35","end":"19:20","startHours":17.579311366502615,"endHours":19.329311366502615,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:40","end":"00:26","startHours":23.66370326007796,"endHours":24.43440427338104,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:16","end":"07:43","startHours":6.268796166956384,"endHours":7.713860566899663,"quality":"auspicious"},{"name":"Amṛta","start":"07:43","end":"09:10","startHours":7.713860566899663,"endHours":9.158924966842942,"quality":"auspicious"},{"name":"Kāla","start":"09:10","end":"10:36","startHours":9.158924966842942,"endHours":10.60398936678622,"quality":"inauspicious"},{"name":"Śubha","start":"10:36","end":"12:03","startHours":10.60398936678622,"endHours":12.0490537667295,"quality":"auspicious"},{"name":"Roga","start":"12:03","end":"13:30","startHours":12.0490537667295,"endHours":13.494118166672777,"quality":"inauspicious"},{"name":"Udveg","start":"13:30","end":"14:56","startHours":13.494118166672777,"endHours":14.939182566616058,"quality":"inauspicious"},{"name":"Chala","start":"14:56","end":"16:23","startHours":14.939182566616058,"endHours":16.384246966559335,"quality":"neutral"},{"name":"Labha","start":"16:23","end":"17:50","startHours":16.384246966559335,"endHours":17.829311366502615,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:50","end":"19:23","startHours":17.829311366502615,"endHours":19.38424696655934,"quality":"inauspicious"},{"name":"Chala","start":"19:23","end":"20:56","startHours":19.38424696655934,"endHours":20.939182566616058,"quality":"neutral"},{"name":"Labha","start":"20:56","end":"22:30","startHours":20.939182566616058,"endHours":22.494118166672777,"quality":"auspicious"},{"name":"Amṛta","start":"22:30","end":"00:03","startHours":22.494118166672777,"endHours":24.0490537667295,"quality":"auspicious"},{"name":"Kāla","start":"00:03","end":"01:36","startHours":24.0490537667295,"endHours":25.603989366786223,"quality":"inauspicious"},{"name":"Śubha","start":"01:36","end":"03:10","startHours":25.603989366786223,"endHours":27.158924966842942,"quality":"auspicious"},{"name":"Roga","start":"03:10","end":"04:43","startHours":27.158924966842942,"endHours":28.713860566899662,"quality":"inauspicious"},{"name":"Udveg","start":"04:43","end":"06:16","startHours":28.713860566899662,"endHours":30.268796166956385,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:16","end":"07:16","startHours":6.268796166956384,"endHours":7.268796166956384,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:16","end":"08:16","startHours":7.268796166956384,"endHours":8.268796166956385,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:16","end":"09:16","startHours":8.268796166956385,"endHours":9.268796166956385,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:16","end":"10:16","startHours":9.268796166956385,"endHours":10.268796166956385,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:16","end":"11:16","startHours":10.268796166956385,"endHours":11.268796166956385,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:16","end":"12:16","startHours":11.268796166956385,"endHours":12.268796166956385,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:16","end":"13:16","startHours":12.268796166956385,"endHours":13.268796166956385,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:16","end":"14:16","startHours":13.268796166956385,"endHours":14.268796166956385,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:16","end":"15:16","startHours":14.268796166956385,"endHours":15.268796166956385,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:16","end":"16:16","startHours":15.268796166956385,"endHours":16.268796166956385,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:16","end":"17:16","startHours":16.268796166956385,"endHours":17.268796166956385,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:16","end":"18:16","startHours":17.268796166956385,"endHours":18.268796166956385,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:16","end":"19:16","startHours":18.268796166956385,"endHours":19.268796166956385,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:16","end":"20:16","startHours":19.268796166956385,"endHours":20.268796166956385,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:16","end":"21:16","startHours":20.268796166956385,"endHours":21.268796166956385,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:16","end":"22:16","startHours":21.268796166956385,"endHours":22.268796166956385,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:16","end":"23:16","startHours":22.268796166956385,"endHours":23.268796166956385,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:16","end":"00:16","startHours":23.268796166956385,"endHours":24.268796166956385,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:16","end":"01:16","startHours":24.268796166956385,"endHours":25.268796166956385,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:16","end":"02:16","startHours":25.268796166956385,"endHours":26.268796166956385,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:16","end":"03:16","startHours":26.268796166956385,"endHours":27.268796166956385,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:16","end":"04:16","startHours":27.268796166956385,"endHours":28.268796166956385,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:16","end":"05:16","startHours":28.268796166956385,"endHours":29.268796166956385,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:16","end":"06:16","startHours":29.268796166956385,"endHours":30.268796166956385,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Śrīvatsa","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-7.321122305962644,"eotMinutes":13.986373996230075,"ayanamsa":25.0373}},"calendars":{"vikram_samvat":2141,"vikram_samvatsara":"Piṅgala","saka_samvat":2006,"saka_samvatsara":"Krodhi","bengali_samvat":1491,"malayalam_era":1260,"nanakshahi_year":615,"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":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Trayodaśī · Vikram 2141 Piṅgala · Śaka 2006 Krodhi"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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":[]},"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, 2084 CE · Ṛṣikeśa · Vidhyamitra","description":"October 11, 2084 CE for Ṛṣikeśa: Śukla Trayodaśī, sūryodaya 06:16, sūryāsta 17:50.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2084-10-11","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2084-10-11","sa":"https://sa.vidhyamitra.com/city/rishikesh/2084-10-11","hi":"https://hi.vidhyamitra.com/city/rishikesh/2084-10-11","x-default":"https://vidhyamitra.com/city/rishikesh/2084-10-11"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T09:30:37.479Z","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":"2026-05-31T09:30:37.479Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T09:30:37.479Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}