{"id":"vidhyamitra:city-day:rishikesh:2102-10-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2102-10-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2102-10-07","date_display":"October 7, 2102 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":2102,"month":10,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489078.770833,"kali_year":5204,"ahargana":1900613.2708,"sun":{"sidereal_longitude":167.1151,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":107.6001,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":300.485,"elapsed_within_tithi_degrees":0.485},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":107.6001,"elapsed_within_degrees":0.9334},"yoga":{"number":21,"name":"Siddha","sum_longitude":274.7151},"karana":{"half_tithi_index":50,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2102,"month":10,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2489078.770833,"ahargana":1900613.2708,"kali_year":5204,"ayanamsa_lahiri":25.2885,"grahas":{"sun":{"sidereal_longitude":168.10904400000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"moon":{"sidereal_longitude":109.30154400000004,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false,"latitude":-0.8761},"mars":{"sidereal_longitude":180.73744399999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":157.11704400000008,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":233.120044,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":168.520844,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":202.05914400000006,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":276.3625,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":96.3625,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"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":2102,"month":10,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489078.770833,"kali_year":5204,"ahargana":1900613.2708,"sun":{"sidereal_longitude":167.1151,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":107.6001,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":300.485,"elapsed_within_tithi_degrees":0.485},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":107.6001,"elapsed_within_degrees":0.9334},"yoga":{"number":21,"name":"Siddha","sum_longitude":274.7151},"karana":{"half_tithi_index":50,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.876,"elongation":59.515},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.876,"opposition_distance":120.485}},"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":"06:12","sunsetLocal":"17:56","solarNoonLocal":"12:04","dayLengthHours":11.719203017406784,"dayLengthDisplay":"11 Hours 43 Mins 09 Secs","nightLengthDisplay":"12 Hours 16 Mins 51 Secs","moonriseLocal":"01:26","moonsetLocal":"14:51","rahuKala":{"name":"Rāhu Kāla","start":"09:08","end":"10:36","startHours":9.136380075497975,"endHours":10.601280452673823,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:32","end":"15:00","startHours":13.531081207025519,"endHours":14.995981584201367,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:12","end":"07:40","startHours":6.206579321146279,"endHours":7.671479698322127,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:56","end":"09:20","startHours":8.941060025207861,"endHours":9.331700125788089,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:42","end":"07:00","startHours":6.694879446871561,"endHours":7.007391527335742,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:27","startHours":11.675540729269445,"endHours":12.456820930429897,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:39","end":"05:26","startHours":4.644018918825374,"endHours":5.4252991199858265,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:14","end":"06:12","startHours":5.229979069695713,"endHours":6.206579321146279,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:01","end":"14:48","startHours":14.019381332750802,"endHours":14.800661533911255,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:44","end":"18:08","startHours":17.725782338553064,"endHours":18.125782338553062,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:56","end":"18:25","startHours":17.925782338553063,"endHours":18.414082464278344,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:41","end":"19:26","startHours":17.675782338553063,"endHours":19.425782338553063,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:27","startHours":23.675540729269446,"endHours":24.456820930429895,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:12","end":"07:40","startHours":6.206579321146279,"endHours":7.671479698322127,"quality":"inauspicious"},{"name":"Śubha","start":"07:40","end":"09:08","startHours":7.671479698322127,"endHours":9.136380075497975,"quality":"auspicious"},{"name":"Roga","start":"09:08","end":"10:36","startHours":9.136380075497975,"endHours":10.601280452673823,"quality":"inauspicious"},{"name":"Udveg","start":"10:36","end":"12:04","startHours":10.601280452673823,"endHours":12.06618082984967,"quality":"inauspicious"},{"name":"Chala","start":"12:04","end":"13:32","startHours":12.06618082984967,"endHours":13.531081207025519,"quality":"neutral"},{"name":"Labha","start":"13:32","end":"15:00","startHours":13.531081207025519,"endHours":14.995981584201367,"quality":"auspicious"},{"name":"Amṛta","start":"15:00","end":"16:28","startHours":14.995981584201367,"endHours":16.460881961377215,"quality":"auspicious"},{"name":"Kāla","start":"16:28","end":"17:56","startHours":16.460881961377215,"endHours":17.925782338553063,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:56","end":"19:28","startHours":17.925782338553063,"endHours":19.460881961377215,"quality":"auspicious"},{"name":"Amṛta","start":"19:28","end":"21:00","startHours":19.460881961377215,"endHours":20.995981584201367,"quality":"auspicious"},{"name":"Kāla","start":"21:00","end":"22:32","startHours":20.995981584201367,"endHours":22.53108120702552,"quality":"inauspicious"},{"name":"Śubha","start":"22:32","end":"00:04","startHours":22.53108120702552,"endHours":24.06618082984967,"quality":"auspicious"},{"name":"Roga","start":"00:04","end":"01:36","startHours":24.06618082984967,"endHours":25.601280452673823,"quality":"inauspicious"},{"name":"Udveg","start":"01:36","end":"03:08","startHours":25.601280452673823,"endHours":27.136380075497975,"quality":"inauspicious"},{"name":"Chala","start":"03:08","end":"04:40","startHours":27.136380075497975,"endHours":28.671479698322127,"quality":"neutral"},{"name":"Labha","start":"04:40","end":"06:12","startHours":28.671479698322127,"endHours":30.20657932114628,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:12","end":"07:12","startHours":6.206579321146279,"endHours":7.206579321146279,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:12","end":"08:12","startHours":7.206579321146279,"endHours":8.206579321146279,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:12","end":"09:12","startHours":8.206579321146279,"endHours":9.206579321146279,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:12","end":"10:12","startHours":9.206579321146279,"endHours":10.206579321146279,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:12","end":"11:12","startHours":10.206579321146279,"endHours":11.206579321146279,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:12","end":"12:12","startHours":11.206579321146279,"endHours":12.206579321146279,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:12","end":"13:12","startHours":12.206579321146279,"endHours":13.206579321146279,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:12","end":"14:12","startHours":13.206579321146279,"endHours":14.206579321146279,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:12","end":"15:12","startHours":14.206579321146279,"endHours":15.206579321146279,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:12","end":"16:12","startHours":15.206579321146279,"endHours":16.20657932114628,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:12","end":"17:12","startHours":16.20657932114628,"endHours":17.20657932114628,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:12","end":"18:12","startHours":17.20657932114628,"endHours":18.20657932114628,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:12","end":"19:12","startHours":18.20657932114628,"endHours":19.20657932114628,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:12","end":"20:12","startHours":19.20657932114628,"endHours":20.20657932114628,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:12","end":"21:12","startHours":20.20657932114628,"endHours":21.20657932114628,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:12","end":"22:12","startHours":21.20657932114628,"endHours":22.20657932114628,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:12","end":"23:12","startHours":22.20657932114628,"endHours":23.20657932114628,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:12","end":"00:12","startHours":23.20657932114628,"endHours":24.20657932114628,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:12","end":"01:12","startHours":24.20657932114628,"endHours":25.20657932114628,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:12","end":"02:12","startHours":25.20657932114628,"endHours":26.20657932114628,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:12","end":"03:12","startHours":26.20657932114628,"endHours":27.20657932114628,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:12","end":"04:12","startHours":27.20657932114628,"endHours":28.20657932114628,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:12","end":"05:12","startHours":28.20657932114628,"endHours":29.20657932114628,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:12","end":"06:12","startHours":29.20657932114628,"endHours":30.20657932114628,"planetary_lord":"Mercury"}],"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":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"East","anandadiYoga":{"name":"Saumya","quality":"Auspicious"},"drikRitu":"Śarad (Autumn) (Drik)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-5.2877144739961714,"eotMinutes":12.958750209019716,"ayanamsa":25.2885}},"calendars":{"vikram_samvat":2159,"vikram_samvatsara":"Yuva","saka_samvat":2024,"saka_samvatsara":"Dundubhi","bengali_samvat":1509,"malayalam_era":1278,"nanakshahi_year":633,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Ekādaśī · Vikram 2159 Yuva · Śaka 2024 Dundubhi"},"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":"kanya-sankranti","name":"Kanyā Saṅkrānti (Mahālaya begins)","name_sanskrit":"कन्या सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Virgo; Mahālaya / Pitṛ-Pakṣa solar marker.","vrata":false,"detection":{"sun_rashi":"Kanyā"},"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":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 7, 2102 CE · Ṛṣikeśa · Vidhyamitra","description":"October 7, 2102 CE for Ṛṣikeśa: Kṛṣṇa Ekādaśī, sūryodaya 06:12, sūryāsta 17:56.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2102-10-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2102-10-07","sa":"https://sa.vidhyamitra.com/city/rishikesh/2102-10-07","hi":"https://hi.vidhyamitra.com/city/rishikesh/2102-10-07","x-default":"https://vidhyamitra.com/city/rishikesh/2102-10-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-21T00:10:46.894Z","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":"2026-05-21T00:10:46.894Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-21T00:10:46.894Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}