{"id":"vidhyamitra:city-day:rishikesh:2104-05-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2104-05-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2104-05-20","date_display":"May 20, 2104 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":2104,"month":5,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489669.770833,"kali_year":5206,"ahargana":1901204.2708,"sun":{"sidereal_longitude":33.6045,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":336.2964,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":302.6919,"elapsed_within_tithi_degrees":2.6919},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1,"moon_longitude":336.2964,"elapsed_within_degrees":2.9631},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":9.901},"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":2104,"month":5,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2489669.770833,"ahargana":1901204.2708,"kali_year":5206,"ayanamsa_lahiri":25.3111,"grahas":{"sun":{"sidereal_longitude":33.888563999999974,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":334.039264,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false,"latitude":4.4989},"mars":{"sidereal_longitude":109.36736400000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":20.850764000000026,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":304.43396399999995,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":34.112864,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":224.65766400000007,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":245.0485,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":65.0485,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","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":2104,"month":5,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489669.770833,"kali_year":5206,"ahargana":1901204.2708,"sun":{"sidereal_longitude":33.6045,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":336.2964,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":302.6919,"elapsed_within_tithi_degrees":2.6919},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1,"moon_longitude":336.2964,"elapsed_within_degrees":2.9631},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":9.901},"karana":{"half_tithi_index":50,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.499,"elongation":57.308},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.499,"opposition_distance":122.692}},"eclipse_window_40days":[{"offset_days":20,"type":"lunar","occurs":true,"moon_latitude":-0.688,"opposition_distance":2.52}]},"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":"05:21","sunsetLocal":"19:06","solarNoonLocal":"12:13","dayLengthHours":13.761042054068168,"dayLengthDisplay":"13 Hours 45 Mins 40 Secs","nightLengthDisplay":"10 Hours 14 Mins 20 Secs","moonriseLocal":"02:12","moonsetLocal":"14:16","rahuKala":{"name":"Rāhu Kāla","start":"15:40","end":"17:23","startHours":15.662448629913957,"endHours":17.382578886672476,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:47","end":"10:30","startHours":8.781927602879874,"endHours":10.502057859638395,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:13","end":"13:57","startHours":12.222188116396914,"endHours":13.942318373155436,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:33","end":"09:01","startHours":8.552576901978737,"endHours":9.011278303781008,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:55","end":"06:17","startHours":5.915043841615671,"endHours":6.282004963057489,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:41","startHours":11.763486714594642,"endHours":12.680889518199187,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:30","end":"04:25","startHours":3.506861482153742,"endHours":4.424264285758286,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:12","end":"05:21","startHours":4.194913584857151,"endHours":5.341667089362831,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:31","end":"15:26","startHours":14.515695125408277,"endHours":15.43309792901282,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:54","end":"19:18","startHours":18.902709143431,"endHours":19.302709143431,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:06","end":"19:41","startHours":19.102709143431,"endHours":19.67608589568384,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:51","end":"20:36","startHours":18.852709143431,"endHours":20.602709143431,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:41","startHours":23.76348671459464,"endHours":24.680889518199187,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:21","end":"07:04","startHours":5.341667089362831,"endHours":7.061797346121352,"quality":"inauspicious"},{"name":"Udveg","start":"07:04","end":"08:47","startHours":7.061797346121352,"endHours":8.781927602879874,"quality":"inauspicious"},{"name":"Chala","start":"08:47","end":"10:30","startHours":8.781927602879874,"endHours":10.502057859638395,"quality":"neutral"},{"name":"Labha","start":"10:30","end":"12:13","startHours":10.502057859638395,"endHours":12.222188116396914,"quality":"auspicious"},{"name":"Amṛta","start":"12:13","end":"13:57","startHours":12.222188116396914,"endHours":13.942318373155436,"quality":"auspicious"},{"name":"Kāla","start":"13:57","end":"15:40","startHours":13.942318373155436,"endHours":15.662448629913957,"quality":"inauspicious"},{"name":"Śubha","start":"15:40","end":"17:23","startHours":15.662448629913957,"endHours":17.382578886672476,"quality":"auspicious"},{"name":"Roga","start":"17:23","end":"19:06","startHours":17.382578886672476,"endHours":19.102709143431,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:06","end":"20:23","startHours":19.102709143431,"endHours":20.38257888667248,"quality":"inauspicious"},{"name":"Śubha","start":"20:23","end":"21:40","startHours":20.38257888667248,"endHours":21.662448629913957,"quality":"auspicious"},{"name":"Roga","start":"21:40","end":"22:57","startHours":21.662448629913957,"endHours":22.942318373155437,"quality":"inauspicious"},{"name":"Udveg","start":"22:57","end":"00:13","startHours":22.942318373155437,"endHours":24.222188116396914,"quality":"inauspicious"},{"name":"Chala","start":"00:13","end":"01:30","startHours":24.222188116396914,"endHours":25.502057859638395,"quality":"neutral"},{"name":"Labha","start":"01:30","end":"02:47","startHours":25.502057859638395,"endHours":26.781927602879875,"quality":"auspicious"},{"name":"Amṛta","start":"02:47","end":"04:04","startHours":26.781927602879875,"endHours":28.061797346121352,"quality":"auspicious"},{"name":"Kāla","start":"04:04","end":"05:21","startHours":28.061797346121352,"endHours":29.34166708936283,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:21","end":"06:21","startHours":5.341667089362831,"endHours":6.341667089362831,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:21","end":"07:21","startHours":6.341667089362831,"endHours":7.341667089362831,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:21","end":"08:21","startHours":7.341667089362831,"endHours":8.341667089362831,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:21","end":"09:21","startHours":8.341667089362831,"endHours":9.341667089362831,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:21","end":"10:21","startHours":9.341667089362831,"endHours":10.341667089362831,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:21","end":"11:21","startHours":10.341667089362831,"endHours":11.341667089362831,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:21","end":"12:21","startHours":11.341667089362831,"endHours":12.341667089362831,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:21","end":"13:21","startHours":12.341667089362831,"endHours":13.341667089362831,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:21","end":"14:21","startHours":13.341667089362831,"endHours":14.341667089362831,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:21","end":"15:21","startHours":14.341667089362831,"endHours":15.341667089362831,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:21","end":"16:21","startHours":15.341667089362831,"endHours":16.34166708936283,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:21","end":"17:21","startHours":16.34166708936283,"endHours":17.34166708936283,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:21","end":"18:21","startHours":17.34166708936283,"endHours":18.34166708936283,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:21","end":"19:21","startHours":18.34166708936283,"endHours":19.34166708936283,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:21","end":"20:21","startHours":19.34166708936283,"endHours":20.34166708936283,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:21","end":"21:21","startHours":20.34166708936283,"endHours":21.34166708936283,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:21","end":"22:21","startHours":21.34166708936283,"endHours":22.34166708936283,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:21","end":"23:21","startHours":22.34166708936283,"endHours":23.34166708936283,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:21","end":"00:21","startHours":23.34166708936283,"endHours":24.34166708936283,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:21","end":"01:21","startHours":24.34166708936283,"endHours":25.34166708936283,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:21","end":"02:21","startHours":25.34166708936283,"endHours":26.34166708936283,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:21","end":"03:21","startHours":26.34166708936283,"endHours":27.34166708936283,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:21","end":"04:21","startHours":27.34166708936283,"endHours":28.34166708936283,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:21","end":"05:21","startHours":28.34166708936283,"endHours":29.34166708936283,"planetary_lord":"Saturn"}],"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":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"North","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"drikRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":19.976520857749772,"eotMinutes":3.5983130161851964,"ayanamsa":25.3111}},"calendars":{"vikram_samvat":2161,"vikram_samvatsara":"Īśvara","saka_samvat":2026,"saka_samvatsara":"Raktākṣī","bengali_samvat":1511,"malayalam_era":1280,"nanakshahi_year":635,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa Pakṣa","solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Ekādaśī · Vikram 2161 Īśvara · Śaka 2026 Raktākṣī"},"festivals":[{"id":"apara-ekadashi","name":"Aparā Ekādaśī","name_sanskrit":"अपरा एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Boundless (aparā) merit; removes brahma-hatyā even.","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","lunar_month":"Jyeṣṭha"},"precedence":4},{"id":"yogini-ekadashi","name":"Yoginī Ekādaśī","name_sanskrit":"योगिनी एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Removes the curse of Kubera; equivalent to feeding 88,000 brāhmaṇas.","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","lunar_month":"Jyeṣṭha"},"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},{"id":"vrishabha-sankranti","name":"Vṛṣabha Saṅkrānti","name_sanskrit":"वृषभ सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Taurus.","vrata":false,"detection":{"sun_rashi":"Vṛṣabha"},"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 May 20, 2104 CE · Ṛṣikeśa · Vidhyamitra","description":"May 20, 2104 CE for Ṛṣikeśa: Kṛṣṇa Ekādaśī, sūryodaya 05:21, sūryāsta 19:06.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2104-05-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2104-05-20","sa":"https://sa.vidhyamitra.com/city/rishikesh/2104-05-20","hi":"https://hi.vidhyamitra.com/city/rishikesh/2104-05-20","x-default":"https://vidhyamitra.com/city/rishikesh/2104-05-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-21T03:20:47.740Z","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":"2026-05-21T03:20:47.740Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-21T03:20:47.740Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}