{"id":"vidhyamitra:city-day:rishikesh:2096-10-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2096-10-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2096-10-20","date_display":"October 20, 2096 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":2096,"month":10,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2486901.770833,"kali_year":5198,"ahargana":1898436.2708,"sun":{"sidereal_longitude":181.5339,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":226.4386,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":44.9047,"elapsed_within_tithi_degrees":8.9047},"nakshatra":{"number":17,"name":"Anurādhā","pada":4,"moon_longitude":226.4386,"elapsed_within_degrees":13.1053},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":47.9726},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"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":2096,"month":10,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2486901.770833,"ahargana":1898436.2708,"kali_year":5198,"ayanamsa_lahiri":25.2053,"grahas":{"sun":{"sidereal_longitude":182.49322200000006,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":223.59252200000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false,"latitude":-1.143},"mars":{"sidereal_longitude":153.26332200000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":189.65352200000007,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":82.996622,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"venus":{"sidereal_longitude":221.08662200000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":138.38742200000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":31.7105,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":211.7105,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","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":2096,"month":10,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2486901.770833,"kali_year":5198,"ahargana":1898436.2708,"sun":{"sidereal_longitude":181.5339,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":226.4386,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":44.9047,"elapsed_within_tithi_degrees":8.9047},"nakshatra":{"number":17,"name":"Anurādhā","pada":4,"moon_longitude":226.4386,"elapsed_within_degrees":13.1053},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":47.9726},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.143,"elongation":44.905},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.143,"opposition_distance":135.095}},"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":"06:22","sunsetLocal":"17:40","solarNoonLocal":"12:01","dayLengthHours":11.29699565351681,"dayLengthDisplay":"11 Hours 17 Mins 49 Secs","nightLengthDisplay":"12 Hours 42 Mins 11 Secs","moonriseLocal":"09:36","moonsetLocal":"19:55","rahuKala":{"name":"Rāhu Kāla","start":"09:12","end":"10:37","startHours":9.196296565883614,"endHours":10.608421022573214,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:26","end":"14:51","startHours":13.432669935952417,"endHours":14.844794392642019,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:22","end":"07:47","startHours":6.372047652504411,"endHours":7.784172109194012,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:00","end":"09:23","startHours":9.008013304991666,"endHours":9.38457982677556,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:51","end":"07:09","startHours":6.842755804734278,"endHours":7.144009022161393,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:39","end":"12:24","startHours":11.643978957478922,"endHours":12.397112001046708,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:52","end":"05:37","startHours":4.865781565368836,"endHours":5.618914608936623,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:26","end":"06:22","startHours":5.430631348044677,"endHours":6.372047652504411,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:54","end":"14:39","startHours":13.903378088182283,"endHours":14.65651113175007,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:28","end":"17:52","startHours":17.46904330602122,"endHours":17.86904330602122,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:40","end":"18:08","startHours":17.66904330602122,"endHours":18.139751458251087,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:25","end":"19:10","startHours":17.41904330602122,"endHours":19.16904330602122,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:39","end":"00:24","startHours":23.64397895747892,"endHours":24.397112001046708,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:22","end":"07:47","startHours":6.372047652504411,"endHours":7.784172109194012,"quality":"inauspicious"},{"name":"Śubha","start":"07:47","end":"09:12","startHours":7.784172109194012,"endHours":9.196296565883614,"quality":"auspicious"},{"name":"Roga","start":"09:12","end":"10:37","startHours":9.196296565883614,"endHours":10.608421022573214,"quality":"inauspicious"},{"name":"Udveg","start":"10:37","end":"12:01","startHours":10.608421022573214,"endHours":12.020545479262815,"quality":"inauspicious"},{"name":"Chala","start":"12:01","end":"13:26","startHours":12.020545479262815,"endHours":13.432669935952417,"quality":"neutral"},{"name":"Labha","start":"13:26","end":"14:51","startHours":13.432669935952417,"endHours":14.844794392642019,"quality":"auspicious"},{"name":"Amṛta","start":"14:51","end":"16:15","startHours":14.844794392642019,"endHours":16.25691884933162,"quality":"auspicious"},{"name":"Kāla","start":"16:15","end":"17:40","startHours":16.25691884933162,"endHours":17.66904330602122,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:40","end":"19:15","startHours":17.66904330602122,"endHours":19.25691884933162,"quality":"auspicious"},{"name":"Amṛta","start":"19:15","end":"20:51","startHours":19.25691884933162,"endHours":20.844794392642015,"quality":"auspicious"},{"name":"Kāla","start":"20:51","end":"22:26","startHours":20.844794392642015,"endHours":22.432669935952415,"quality":"inauspicious"},{"name":"Śubha","start":"22:26","end":"00:01","startHours":22.432669935952415,"endHours":24.020545479262815,"quality":"auspicious"},{"name":"Roga","start":"00:01","end":"01:37","startHours":24.020545479262815,"endHours":25.608421022573214,"quality":"inauspicious"},{"name":"Udveg","start":"01:37","end":"03:12","startHours":25.608421022573214,"endHours":27.196296565883614,"quality":"inauspicious"},{"name":"Chala","start":"03:12","end":"04:47","startHours":27.196296565883614,"endHours":28.78417210919401,"quality":"neutral"},{"name":"Labha","start":"04:47","end":"06:22","startHours":28.78417210919401,"endHours":30.37204765250441,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:22","end":"07:22","startHours":6.372047652504411,"endHours":7.372047652504411,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:22","end":"08:22","startHours":7.372047652504411,"endHours":8.37204765250441,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:22","end":"09:22","startHours":8.37204765250441,"endHours":9.37204765250441,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:22","end":"10:22","startHours":9.37204765250441,"endHours":10.37204765250441,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:22","end":"11:22","startHours":10.37204765250441,"endHours":11.37204765250441,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:22","end":"12:22","startHours":11.37204765250441,"endHours":12.37204765250441,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:22","end":"13:22","startHours":12.37204765250441,"endHours":13.37204765250441,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:22","end":"14:22","startHours":13.37204765250441,"endHours":14.37204765250441,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:22","end":"15:22","startHours":14.37204765250441,"endHours":15.37204765250441,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:22","end":"16:22","startHours":15.37204765250441,"endHours":16.37204765250441,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:22","end":"17:22","startHours":16.37204765250441,"endHours":17.37204765250441,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:22","end":"18:22","startHours":17.37204765250441,"endHours":18.37204765250441,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:22","end":"19:22","startHours":18.37204765250441,"endHours":19.37204765250441,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:22","end":"20:22","startHours":19.37204765250441,"endHours":20.37204765250441,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:22","end":"21:22","startHours":20.37204765250441,"endHours":21.37204765250441,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:22","end":"22:22","startHours":21.37204765250441,"endHours":22.37204765250441,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:22","end":"23:22","startHours":22.37204765250441,"endHours":23.37204765250441,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:22","end":"00:22","startHours":23.37204765250441,"endHours":24.37204765250441,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:22","end":"01:22","startHours":24.37204765250441,"endHours":25.37204765250441,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:22","end":"02:22","startHours":25.37204765250441,"endHours":26.37204765250441,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:22","end":"03:22","startHours":26.37204765250441,"endHours":27.37204765250441,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:22","end":"04:22","startHours":27.37204765250441,"endHours":28.37204765250441,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:22","end":"05:22","startHours":28.37204765250441,"endHours":29.37204765250441,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:22","end":"06:22","startHours":29.37204765250441,"endHours":30.37204765250441,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-East","rahuVasa":"East","anandadiYoga":{"name":"Mānasa","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-10.653768153905856,"eotMinutes":15.696871244231174,"ayanamsa":25.2053}},"calendars":{"vikram_samvat":2153,"vikram_samvatsara":"Śukla","saka_samvat":2018,"saka_samvatsara":"Nala","bengali_samvat":1503,"malayalam_era":1272,"nanakshahi_year":627,"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 Caturthī · Vikram 2153 Śukla · Śaka 2018 Nala"},"festivals":[{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"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 20, 2096 CE · Ṛṣikeśa · Vidhyamitra","description":"October 20, 2096 CE for Ṛṣikeśa: Śukla Caturthī, sūryodaya 06:22, sūryāsta 17:40.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2096-10-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2096-10-20","sa":"https://sa.vidhyamitra.com/city/rishikesh/2096-10-20","hi":"https://hi.vidhyamitra.com/city/rishikesh/2096-10-20","x-default":"https://vidhyamitra.com/city/rishikesh/2096-10-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T03:27:02.531Z","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":"2026-05-31T03:27:02.531Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T03:27:02.531Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}