{"id":"vidhyamitra:city-day:rishikesh:2054-04-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2054-04-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2054-04-20","date_display":"April 20, 2054 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":2054,"month":4,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2471377.770833,"kali_year":5156,"ahargana":1882912.2708,"sun":{"sidereal_longitude":5.579,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":159.7206,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":154.1417,"elapsed_within_tithi_degrees":10.1417},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4,"moon_longitude":159.7206,"elapsed_within_degrees":13.054},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":165.2996},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2054,"month":4,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2471377.770833,"ahargana":1882912.2708,"kali_year":5156,"ayanamsa_lahiri":24.6115,"grahas":{"sun":{"sidereal_longitude":5.592652999999984,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":157.950553,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false,"latitude":1.9338},"mars":{"sidereal_longitude":312.634053,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":7.583253000000013,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":220.044353,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":322.006353,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":327.16595299999994,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":134.2467,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":314.2467,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"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":2054,"month":4,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2471377.770833,"kali_year":5156,"ahargana":1882912.2708,"sun":{"sidereal_longitude":5.579,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":159.7206,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":154.1417,"elapsed_within_tithi_degrees":10.1417},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4,"moon_longitude":159.7206,"elapsed_within_degrees":13.054},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":165.2996},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.934,"elongation":154.142},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.934,"opposition_distance":25.858}},"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":13.038104794557256,"dayLengthDisplay":"13 Hours 02 Mins 17 Secs","nightLengthDisplay":"10 Hours 57 Mins 43 Secs","moonriseLocal":"16:25","moonsetLocal":"04:26","rahuKala":{"name":"Rāhu Kāla","start":"07:23","end":"09:00","startHours":7.376741310947015,"endHours":9.006504410266672,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:38","end":"12:16","startHours":10.636267509586329,"endHours":12.266030608905986,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:54","end":"15:32","startHours":13.895793708225643,"endHours":15.5255568075453,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:47","end":"09:13","startHours":8.789202663690718,"endHours":9.223806156842626,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:17","end":"06:38","startHours":6.2902325780672435,"endHours":6.63791537258877,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:42","startHours":11.831427115754078,"endHours":12.700634102057894,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:01","end":"04:53","startHours":4.008564239019724,"endHours":4.87777122532354,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:40","end":"05:45","startHours":4.660469478747586,"endHours":5.746978211627358,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:26","end":"15:18","startHours":14.439048074665529,"endHours":15.308255060969346,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:35","end":"18:59","startHours":18.585083006184615,"endHours":18.985083006184613,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:47","end":"19:20","startHours":18.785083006184614,"endHours":19.3283373726245,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:32","end":"20:17","startHours":18.535083006184614,"endHours":20.285083006184614,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:42","startHours":23.831427115754078,"endHours":24.700634102057894,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:45","end":"07:23","startHours":5.746978211627358,"endHours":7.376741310947015,"quality":"auspicious"},{"name":"Kāla","start":"07:23","end":"09:00","startHours":7.376741310947015,"endHours":9.006504410266672,"quality":"inauspicious"},{"name":"Śubha","start":"09:00","end":"10:38","startHours":9.006504410266672,"endHours":10.636267509586329,"quality":"auspicious"},{"name":"Roga","start":"10:38","end":"12:16","startHours":10.636267509586329,"endHours":12.266030608905986,"quality":"inauspicious"},{"name":"Udveg","start":"12:16","end":"13:54","startHours":12.266030608905986,"endHours":13.895793708225643,"quality":"inauspicious"},{"name":"Chala","start":"13:54","end":"15:32","startHours":13.895793708225643,"endHours":15.5255568075453,"quality":"neutral"},{"name":"Labha","start":"15:32","end":"17:09","startHours":15.5255568075453,"endHours":17.155319906864957,"quality":"auspicious"},{"name":"Amṛta","start":"17:09","end":"18:47","startHours":17.155319906864957,"endHours":18.785083006184614,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:47","end":"20:09","startHours":18.785083006184614,"endHours":20.155319906864957,"quality":"neutral"},{"name":"Labha","start":"20:09","end":"21:32","startHours":20.155319906864957,"endHours":21.5255568075453,"quality":"auspicious"},{"name":"Amṛta","start":"21:32","end":"22:54","startHours":21.5255568075453,"endHours":22.895793708225643,"quality":"auspicious"},{"name":"Kāla","start":"22:54","end":"00:16","startHours":22.895793708225643,"endHours":24.266030608905986,"quality":"inauspicious"},{"name":"Śubha","start":"00:16","end":"01:38","startHours":24.266030608905986,"endHours":25.63626750958633,"quality":"auspicious"},{"name":"Roga","start":"01:38","end":"03:00","startHours":25.63626750958633,"endHours":27.006504410266672,"quality":"inauspicious"},{"name":"Udveg","start":"03:00","end":"04:23","startHours":27.006504410266672,"endHours":28.376741310947015,"quality":"inauspicious"},{"name":"Chala","start":"04:23","end":"05:45","startHours":28.376741310947015,"endHours":29.746978211627358,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:45","end":"06:45","startHours":5.746978211627358,"endHours":6.746978211627358,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:45","end":"07:45","startHours":6.746978211627358,"endHours":7.746978211627358,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:45","end":"08:45","startHours":7.746978211627358,"endHours":8.746978211627358,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:45","end":"09:45","startHours":8.746978211627358,"endHours":9.746978211627358,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:45","end":"10:45","startHours":9.746978211627358,"endHours":10.746978211627358,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:45","end":"11:45","startHours":10.746978211627358,"endHours":11.746978211627358,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:45","end":"12:45","startHours":11.746978211627358,"endHours":12.746978211627358,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:45","end":"13:45","startHours":12.746978211627358,"endHours":13.746978211627358,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:45","end":"14:45","startHours":13.746978211627358,"endHours":14.746978211627358,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:45","end":"15:45","startHours":14.746978211627358,"endHours":15.746978211627358,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:45","end":"16:45","startHours":15.746978211627358,"endHours":16.746978211627358,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:45","end":"17:45","startHours":16.746978211627358,"endHours":17.746978211627358,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:45","end":"18:45","startHours":17.746978211627358,"endHours":18.746978211627358,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:45","end":"19:45","startHours":18.746978211627358,"endHours":19.746978211627358,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:45","end":"20:45","startHours":19.746978211627358,"endHours":20.746978211627358,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:45","end":"21:45","startHours":20.746978211627358,"endHours":21.746978211627358,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:45","end":"22:45","startHours":21.746978211627358,"endHours":22.746978211627358,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:45","end":"23:45","startHours":22.746978211627358,"endHours":23.746978211627358,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:45","end":"00:45","startHours":23.746978211627358,"endHours":24.746978211627358,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:45","end":"01:45","startHours":24.746978211627358,"endHours":25.746978211627358,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:45","end":"02:45","startHours":25.746978211627358,"endHours":26.746978211627358,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:45","end":"03:45","startHours":26.746978211627358,"endHours":27.746978211627358,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:45","end":"04:45","startHours":27.746978211627358,"endHours":28.746978211627358,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:45","end":"05:45","startHours":28.746978211627358,"endHours":29.746978211627358,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Utpāta","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":11.542355195811398,"eotMinutes":0.9677634656409275,"ayanamsa":24.6115}},"calendars":{"vikram_samvat":2111,"vikram_samvatsara":"Sarvajit","saka_samvat":1976,"saka_samvatsara":"Bhāva","bengali_samvat":1461,"malayalam_era":1230,"nanakshahi_year":585,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Caitra","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":"Caitra Śukla Trayodaśī · Vikram 2111 Sarvajit · Śaka 1976 Bhāva"},"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":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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, 2054 CE · Ṛṣikeśa · Vidhyamitra","description":"April 20, 2054 CE for Ṛṣikeśa: Śukla Trayodaśī, sūryodaya 05:45, sūryāsta 18:47.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2054-04-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2054-04-20","sa":"https://sa.vidhyamitra.com/city/rishikesh/2054-04-20","hi":"https://hi.vidhyamitra.com/city/rishikesh/2054-04-20","x-default":"https://vidhyamitra.com/city/rishikesh/2054-04-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T23:25:45.333Z","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":"2026-06-01T23:25:45.333Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T23:25:45.333Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}