{"id":"vidhyamitra:city-day:rishikesh:1876-04-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1876-04-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1876-04-20","date_display":"April 20, 1876 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":1876,"month":4,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2406364.770833,"kali_year":4978,"ahargana":1817899.2708,"sun":{"sidereal_longitude":8.5514,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":315.3243,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":306.7728,"elapsed_within_tithi_degrees":6.7728},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3,"moon_longitude":315.3243,"elapsed_within_degrees":8.6576},"yoga":{"number":25,"name":"Brahma","sum_longitude":323.8757},"karana":{"half_tithi_index":51,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":1876,"month":4,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2406364.770833,"ahargana":1817899.2708,"kali_year":4978,"ayanamsa_lahiri":22.125,"grahas":{"sun":{"sidereal_longitude":8.162027000000023,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":314.33242700000005,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false,"latitude":-1.8017},"mars":{"sidereal_longitude":45.454026999999996,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":6.897527000000025,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":219.69732699999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":54.68242700000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":314.32782699999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":338.9483,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":158.9483,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","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":1876,"month":4,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2406364.770833,"kali_year":4978,"ahargana":1817899.2708,"sun":{"sidereal_longitude":8.5514,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":315.3243,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":306.7728,"elapsed_within_tithi_degrees":6.7728},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3,"moon_longitude":315.3243,"elapsed_within_degrees":8.6576},"yoga":{"number":25,"name":"Brahma","sum_longitude":323.8757},"karana":{"half_tithi_index":51,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.802,"elongation":53.227},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.802,"opposition_distance":126.773}},"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":"05:45","sunsetLocal":"18:47","solarNoonLocal":"12:16","dayLengthHours":13.040479396450614,"dayLengthDisplay":"13 Hours 02 Mins 26 Secs","nightLengthDisplay":"10 Hours 57 Mins 34 Secs","moonriseLocal":"02:59","moonsetLocal":"14:22","rahuKala":{"name":"Rāhu Kāla","start":"13:54","end":"15:32","startHours":13.896090533462313,"endHours":15.526150458018638,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:45","end":"07:23","startHours":5.745790910680678,"endHours":7.375850835237005,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:00","end":"10:38","startHours":9.00591075979333,"endHours":10.635970684349658,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:47","end":"09:13","startHours":8.788569436519154,"endHours":9.223252083067509,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:17","end":"06:38","startHours":6.28914421886612,"endHours":6.636890336104804,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:42","startHours":11.831347962357633,"endHours":12.700713255454339,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:00","end":"04:53","startHours":4.007060324487263,"endHours":4.87642561758397,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:40","end":"05:45","startHours":4.659084294309793,"endHours":5.745790910680678,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:26","end":"15:19","startHours":14.439443841647755,"endHours":15.308809134744463,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:35","end":"18:59","startHours":18.586270307131294,"endHours":18.986270307131292,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:47","end":"19:20","startHours":18.786270307131293,"endHours":19.329623615316734,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:32","end":"20:17","startHours":18.536270307131293,"endHours":20.286270307131293,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:42","startHours":23.831347962357633,"endHours":24.70071325545434,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:45","end":"07:23","startHours":5.745790910680678,"endHours":7.375850835237005,"quality":"auspicious"},{"name":"Roga","start":"07:23","end":"09:00","startHours":7.375850835237005,"endHours":9.00591075979333,"quality":"inauspicious"},{"name":"Udveg","start":"09:00","end":"10:38","startHours":9.00591075979333,"endHours":10.635970684349658,"quality":"inauspicious"},{"name":"Chala","start":"10:38","end":"12:16","startHours":10.635970684349658,"endHours":12.266030608905986,"quality":"neutral"},{"name":"Labha","start":"12:16","end":"13:54","startHours":12.266030608905986,"endHours":13.896090533462313,"quality":"auspicious"},{"name":"Amṛta","start":"13:54","end":"15:32","startHours":13.896090533462313,"endHours":15.526150458018638,"quality":"auspicious"},{"name":"Kāla","start":"15:32","end":"17:09","startHours":15.526150458018638,"endHours":17.156210382574965,"quality":"inauspicious"},{"name":"Śubha","start":"17:09","end":"18:47","startHours":17.156210382574965,"endHours":18.786270307131293,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:47","end":"20:09","startHours":18.786270307131293,"endHours":20.156210382574965,"quality":"auspicious"},{"name":"Kāla","start":"20:09","end":"21:32","startHours":20.156210382574965,"endHours":21.52615045801864,"quality":"inauspicious"},{"name":"Śubha","start":"21:32","end":"22:54","startHours":21.52615045801864,"endHours":22.896090533462313,"quality":"auspicious"},{"name":"Roga","start":"22:54","end":"00:16","startHours":22.896090533462313,"endHours":24.266030608905986,"quality":"inauspicious"},{"name":"Udveg","start":"00:16","end":"01:38","startHours":24.266030608905986,"endHours":25.635970684349658,"quality":"inauspicious"},{"name":"Chala","start":"01:38","end":"03:00","startHours":25.635970684349658,"endHours":27.00591075979333,"quality":"neutral"},{"name":"Labha","start":"03:00","end":"04:23","startHours":27.00591075979333,"endHours":28.375850835237006,"quality":"auspicious"},{"name":"Amṛta","start":"04:23","end":"05:45","startHours":28.375850835237006,"endHours":29.74579091068068,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:45","end":"06:45","startHours":5.745790910680678,"endHours":6.745790910680678,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:45","end":"07:45","startHours":6.745790910680678,"endHours":7.745790910680678,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:45","end":"08:45","startHours":7.745790910680678,"endHours":8.745790910680679,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:45","end":"09:45","startHours":8.745790910680679,"endHours":9.745790910680679,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:45","end":"10:45","startHours":9.745790910680679,"endHours":10.745790910680679,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:45","end":"11:45","startHours":10.745790910680679,"endHours":11.745790910680679,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:45","end":"12:45","startHours":11.745790910680679,"endHours":12.745790910680679,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:45","end":"13:45","startHours":12.745790910680679,"endHours":13.745790910680679,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:45","end":"14:45","startHours":13.745790910680679,"endHours":14.745790910680679,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:45","end":"15:45","startHours":14.745790910680679,"endHours":15.745790910680679,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:45","end":"16:45","startHours":15.745790910680679,"endHours":16.74579091068068,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:45","end":"17:45","startHours":16.74579091068068,"endHours":17.74579091068068,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:45","end":"18:45","startHours":17.74579091068068,"endHours":18.74579091068068,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:45","end":"19:45","startHours":18.74579091068068,"endHours":19.74579091068068,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:45","end":"20:45","startHours":19.74579091068068,"endHours":20.74579091068068,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:45","end":"21:45","startHours":20.74579091068068,"endHours":21.74579091068068,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:45","end":"22:45","startHours":21.74579091068068,"endHours":22.74579091068068,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:45","end":"23:45","startHours":22.74579091068068,"endHours":23.74579091068068,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:45","end":"00:45","startHours":23.74579091068068,"endHours":24.74579091068068,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:45","end":"01:45","startHours":24.74579091068068,"endHours":25.74579091068068,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:45","end":"02:45","startHours":25.74579091068068,"endHours":26.74579091068068,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:45","end":"03:45","startHours":26.74579091068068,"endHours":27.74579091068068,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:45","end":"04:45","startHours":27.74579091068068,"endHours":28.74579091068068,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:45","end":"05:45","startHours":28.74579091068068,"endHours":29.74579091068068,"planetary_lord":"Moon"}],"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":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Maitra","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":11.571419176255846,"eotMinutes":0.9677634656409275,"ayanamsa":22.125}},"calendars":{"vikram_samvat":1933,"vikram_samvatsara":"Virodhi","saka_samvat":1798,"saka_samvatsara":"Dhātṛ","bengali_samvat":1283,"malayalam_era":1052,"nanakshahi_year":407,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","lunar_month_amanta":"Caitra","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Kṛṣṇa Ekādaśī · Vikram 1933 Virodhi · Śaka 1798 Dhātṛ"},"festivals":[{"id":"varuthini-ekadashi","name":"Varūthinī Ekādaśī","name_sanskrit":"वरूथिनी एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Vāmana","significance":"Granted to King Mandhātā by Vāmana-deva; brings sound sleep + wealth.","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","lunar_month":"Vaiśākha"},"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":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 April 20, 1876 CE · Ṛṣikeśa · Vidhyamitra","description":"April 20, 1876 CE for Ṛṣikeśa: Kṛṣṇa Ekādaśī, sūryodaya 05:45, sūryāsta 18:47.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1876-04-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1876-04-20","sa":"https://sa.vidhyamitra.com/city/rishikesh/1876-04-20","hi":"https://hi.vidhyamitra.com/city/rishikesh/1876-04-20","x-default":"https://vidhyamitra.com/city/rishikesh/1876-04-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T13:32:33.564Z","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":"2026-05-31T13:32:33.564Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T13:32:33.564Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}