{"id":"vidhyamitra:city-day:rishikesh:2146-05-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2146-05-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2146-05-21","date_display":"May 21, 2146 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":2146,"month":5,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2505010.770833,"kali_year":5248,"ahargana":1916545.2708,"sun":{"sidereal_longitude":33.731,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":150.172,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":116.441,"elapsed_within_tithi_degrees":8.441},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2,"moon_longitude":150.172,"elapsed_within_degrees":3.5054},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":183.9031},"karana":{"half_tithi_index":19,"name":"Gara"},"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":2146,"month":5,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2505010.770833,"ahargana":1916545.2708,"kali_year":5248,"ayanamsa_lahiri":25.8979,"grahas":{"sun":{"sidereal_longitude":34.11612500000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":148.46432500000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false,"latitude":-0.1597},"mars":{"sidereal_longitude":304.318225,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":53.67032499999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":123.58322499999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":71.58362499999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":11.569925000000012,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":152.2085,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":332.2085,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","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":2146,"month":5,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2505010.770833,"kali_year":5248,"ahargana":1916545.2708,"sun":{"sidereal_longitude":33.731,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":150.172,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":116.441,"elapsed_within_tithi_degrees":8.441},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2,"moon_longitude":150.172,"elapsed_within_degrees":3.5054},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":183.9031},"karana":{"half_tithi_index":19,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.16,"elongation":116.441},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.16,"opposition_distance":63.559}},"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":"05:20","sunsetLocal":"19:07","solarNoonLocal":"12:13","dayLengthHours":13.776891471167339,"dayLengthDisplay":"13 Hours 46 Mins 37 Secs","nightLengthDisplay":"10 Hours 13 Mins 23 Secs","moonriseLocal":"13:43","moonsetLocal":"01:59","rahuKala":{"name":"Rāhu Kāla","start":"08:47","end":"10:30","startHours":8.778946835833532,"endHours":10.501058269729448,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:57","end":"15:40","startHours":13.945281137521285,"endHours":15.667392571417201,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:20","end":"07:03","startHours":5.334723968041697,"endHours":7.056835401937614,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:33","end":"09:01","startHours":8.549331977980742,"endHours":9.008561693686321,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:55","end":"06:17","startHours":5.90876111267367,"endHours":6.276144885238132,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:41","startHours":11.76393998791979,"endHours":12.682399419330944,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:30","end":"04:25","startHours":3.497805105219385,"endHours":4.416264536630541,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:11","end":"05:20","startHours":4.186649678777752,"endHours":5.334723968041697,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:31","end":"15:26","startHours":14.519318282153256,"endHours":15.437777713564412,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:55","end":"19:19","startHours":18.911615439209037,"endHours":19.311615439209035,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:07","end":"19:41","startHours":19.111615439209036,"endHours":19.68565258384101,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:52","end":"20:37","startHours":18.861615439209036,"endHours":20.611615439209036,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:41","startHours":23.763939987919787,"endHours":24.682399419330945,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:20","end":"07:03","startHours":5.334723968041697,"endHours":7.056835401937614,"quality":"inauspicious"},{"name":"Śubha","start":"07:03","end":"08:47","startHours":7.056835401937614,"endHours":8.778946835833532,"quality":"auspicious"},{"name":"Roga","start":"08:47","end":"10:30","startHours":8.778946835833532,"endHours":10.501058269729448,"quality":"inauspicious"},{"name":"Udveg","start":"10:30","end":"12:13","startHours":10.501058269729448,"endHours":12.223169703625366,"quality":"inauspicious"},{"name":"Chala","start":"12:13","end":"13:57","startHours":12.223169703625366,"endHours":13.945281137521285,"quality":"neutral"},{"name":"Labha","start":"13:57","end":"15:40","startHours":13.945281137521285,"endHours":15.667392571417201,"quality":"auspicious"},{"name":"Amṛta","start":"15:40","end":"17:23","startHours":15.667392571417201,"endHours":17.389504005313118,"quality":"auspicious"},{"name":"Kāla","start":"17:23","end":"19:07","startHours":17.389504005313118,"endHours":19.111615439209036,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:07","end":"20:23","startHours":19.111615439209036,"endHours":20.389504005313118,"quality":"auspicious"},{"name":"Amṛta","start":"20:23","end":"21:40","startHours":20.389504005313118,"endHours":21.667392571417203,"quality":"auspicious"},{"name":"Kāla","start":"21:40","end":"22:57","startHours":21.667392571417203,"endHours":22.945281137521285,"quality":"inauspicious"},{"name":"Śubha","start":"22:57","end":"00:13","startHours":22.945281137521285,"endHours":24.223169703625366,"quality":"auspicious"},{"name":"Roga","start":"00:13","end":"01:30","startHours":24.223169703625366,"endHours":25.501058269729448,"quality":"inauspicious"},{"name":"Udveg","start":"01:30","end":"02:47","startHours":25.501058269729448,"endHours":26.77894683583353,"quality":"inauspicious"},{"name":"Chala","start":"02:47","end":"04:03","startHours":26.77894683583353,"endHours":28.056835401937615,"quality":"neutral"},{"name":"Labha","start":"04:03","end":"05:20","startHours":28.056835401937615,"endHours":29.334723968041697,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:20","end":"06:20","startHours":5.334723968041697,"endHours":6.334723968041697,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:20","end":"07:20","startHours":6.334723968041697,"endHours":7.334723968041697,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:20","end":"08:20","startHours":7.334723968041697,"endHours":8.334723968041697,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:20","end":"09:20","startHours":8.334723968041697,"endHours":9.334723968041697,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:20","end":"10:20","startHours":9.334723968041697,"endHours":10.334723968041697,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:20","end":"11:20","startHours":10.334723968041697,"endHours":11.334723968041697,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:20","end":"12:20","startHours":11.334723968041697,"endHours":12.334723968041697,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:20","end":"13:20","startHours":12.334723968041697,"endHours":13.334723968041697,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:20","end":"14:20","startHours":13.334723968041697,"endHours":14.334723968041697,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:20","end":"15:20","startHours":14.334723968041697,"endHours":15.334723968041697,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:20","end":"16:20","startHours":15.334723968041697,"endHours":16.334723968041697,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:20","end":"17:20","startHours":16.334723968041697,"endHours":17.334723968041697,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:20","end":"18:20","startHours":17.334723968041697,"endHours":18.334723968041697,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:20","end":"19:20","startHours":18.334723968041697,"endHours":19.334723968041697,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:20","end":"20:20","startHours":19.334723968041697,"endHours":20.334723968041697,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:20","end":"21:20","startHours":20.334723968041697,"endHours":21.334723968041697,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:20","end":"22:20","startHours":21.334723968041697,"endHours":22.334723968041697,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:20","end":"23:20","startHours":22.334723968041697,"endHours":23.334723968041697,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:20","end":"00:20","startHours":23.334723968041697,"endHours":24.334723968041697,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:20","end":"01:20","startHours":24.334723968041697,"endHours":25.334723968041697,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:20","end":"02:20","startHours":25.334723968041697,"endHours":26.334723968041697,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:20","end":"03:20","startHours":26.334723968041697,"endHours":27.334723968041697,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:20","end":"04:20","startHours":27.334723968041697,"endHours":28.334723968041697,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:20","end":"05:20","startHours":28.334723968041697,"endHours":29.334723968041697,"planetary_lord":"Mercury"}],"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":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"West","rahuVasa":"East","anandadiYoga":{"name":"Śrīvatsa","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":20.150976866877716,"eotMinutes":3.539417782478063,"ayanamsa":25.8979}},"calendars":{"vikram_samvat":2203,"vikram_samvatsara":"Siddhārthī","saka_samvat":2068,"saka_samvatsara":"Parābhava","bengali_samvat":1553,"malayalam_era":1322,"nanakshahi_year":677,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Daśamī · Vikram 2203 Siddhārthī · Śaka 2068 Parābhava"},"festivals":[],"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 May 21, 2146 CE · Ṛṣikeśa · Vidhyamitra","description":"May 21, 2146 CE for Ṛṣikeśa: Śukla Daśamī, sūryodaya 05:20, sūryāsta 19:07.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2146-05-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2146-05-21","sa":"https://sa.vidhyamitra.com/city/rishikesh/2146-05-21","hi":"https://hi.vidhyamitra.com/city/rishikesh/2146-05-21","x-default":"https://vidhyamitra.com/city/rishikesh/2146-05-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T21:13:38.208Z","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":"2026-05-31T21:13:38.208Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T21:13:38.208Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}