{"id":"vidhyamitra:city-day:rishikesh:2018-05-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2018-05-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2018-05-21","date_display":"May 21, 2018 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":2018,"month":5,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458259.770833,"kali_year":5120,"ahargana":1869794.2708,"sun":{"sidereal_longitude":35.7592,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":108.7524,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":72.9932,"elapsed_within_tithi_degrees":0.9932},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":108.7524,"elapsed_within_degrees":2.0857},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":144.5116},"karana":{"half_tithi_index":12,"name":"Gara"},"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":2018,"month":5,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2458259.770833,"ahargana":1869794.2708,"kali_year":5120,"ayanamsa_lahiri":24.1098,"grahas":{"sun":{"sidereal_longitude":35.85505699999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":111.304757,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false,"latitude":-0.0431},"mars":{"sidereal_longitude":277.46535700000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":17.979957000000013,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":202.581957,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":67.43025699999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":254.06935700000008,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":109.3015,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":289.3015,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","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":2018,"month":5,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458259.770833,"kali_year":5120,"ahargana":1869794.2708,"sun":{"sidereal_longitude":35.7592,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":108.7524,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":72.9932,"elapsed_within_tithi_degrees":0.9932},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":108.7524,"elapsed_within_degrees":2.0857},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":144.5116},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.043,"elongation":72.993},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.043,"opposition_distance":107.007}},"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":13.775943710041354,"dayLengthDisplay":"13 Hours 46 Mins 33 Secs","nightLengthDisplay":"10 Hours 13 Mins 27 Secs","moonriseLocal":"10:34","moonsetLocal":"23:57","rahuKala":{"name":"Rāhu Kāla","start":"07:03","end":"08:47","startHours":7.057190812359859,"endHours":8.779183776115028,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:30","end":"12:13","startHours":10.501176739870196,"endHours":12.223169703625366,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:57","end":"15:40","startHours":13.945162667380536,"endHours":15.667155631135705,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:33","end":"09:01","startHours":8.549584714281005,"endHours":9.00878283794905,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:55","end":"06:17","startHours":5.909195503189746,"endHours":6.276554002124183,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:41","startHours":11.763971579957321,"endHours":12.682367827293412,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:30","end":"04:25","startHours":3.498405353932509,"endHours":4.416801601268599,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:11","end":"05:20","startHours":4.187202539434576,"endHours":5.33519784860469,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:31","end":"15:26","startHours":14.519160321965593,"endHours":15.437556569301684,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:55","end":"19:19","startHours":18.911141558646044,"endHours":19.311141558646042,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:07","end":"19:41","startHours":19.111141558646043,"endHours":19.6851392132311,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:52","end":"20:37","startHours":18.861141558646043,"endHours":20.611141558646043,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:41","startHours":23.76397157995732,"endHours":24.68236782729341,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:20","end":"07:03","startHours":5.33519784860469,"endHours":7.057190812359859,"quality":"auspicious"},{"name":"Kāla","start":"07:03","end":"08:47","startHours":7.057190812359859,"endHours":8.779183776115028,"quality":"inauspicious"},{"name":"Śubha","start":"08:47","end":"10:30","startHours":8.779183776115028,"endHours":10.501176739870196,"quality":"auspicious"},{"name":"Roga","start":"10:30","end":"12:13","startHours":10.501176739870196,"endHours":12.223169703625366,"quality":"inauspicious"},{"name":"Udveg","start":"12:13","end":"13:57","startHours":12.223169703625366,"endHours":13.945162667380536,"quality":"inauspicious"},{"name":"Chala","start":"13:57","end":"15:40","startHours":13.945162667380536,"endHours":15.667155631135705,"quality":"neutral"},{"name":"Labha","start":"15:40","end":"17:23","startHours":15.667155631135705,"endHours":17.389148594890873,"quality":"auspicious"},{"name":"Amṛta","start":"17:23","end":"19:07","startHours":17.389148594890873,"endHours":19.111141558646043,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:07","end":"20:23","startHours":19.111141558646043,"endHours":20.389148594890873,"quality":"neutral"},{"name":"Labha","start":"20:23","end":"21:40","startHours":20.389148594890873,"endHours":21.667155631135707,"quality":"auspicious"},{"name":"Amṛta","start":"21:40","end":"22:57","startHours":21.667155631135707,"endHours":22.945162667380536,"quality":"auspicious"},{"name":"Kāla","start":"22:57","end":"00:13","startHours":22.945162667380536,"endHours":24.223169703625366,"quality":"inauspicious"},{"name":"Śubha","start":"00:13","end":"01:30","startHours":24.223169703625366,"endHours":25.501176739870196,"quality":"auspicious"},{"name":"Roga","start":"01:30","end":"02:47","startHours":25.501176739870196,"endHours":26.779183776115026,"quality":"inauspicious"},{"name":"Udveg","start":"02:47","end":"04:03","startHours":26.779183776115026,"endHours":28.05719081235986,"quality":"inauspicious"},{"name":"Chala","start":"04:03","end":"05:20","startHours":28.05719081235986,"endHours":29.33519784860469,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:20","end":"06:20","startHours":5.33519784860469,"endHours":6.33519784860469,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:20","end":"07:20","startHours":6.33519784860469,"endHours":7.33519784860469,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:20","end":"08:20","startHours":7.33519784860469,"endHours":8.33519784860469,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:20","end":"09:20","startHours":8.33519784860469,"endHours":9.33519784860469,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:20","end":"10:20","startHours":9.33519784860469,"endHours":10.33519784860469,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:20","end":"11:20","startHours":10.33519784860469,"endHours":11.33519784860469,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:20","end":"12:20","startHours":11.33519784860469,"endHours":12.33519784860469,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:20","end":"13:20","startHours":12.33519784860469,"endHours":13.33519784860469,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:20","end":"14:20","startHours":13.33519784860469,"endHours":14.33519784860469,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:20","end":"15:20","startHours":14.33519784860469,"endHours":15.33519784860469,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:20","end":"16:20","startHours":15.33519784860469,"endHours":16.33519784860469,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:20","end":"17:20","startHours":16.33519784860469,"endHours":17.33519784860469,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:20","end":"18:20","startHours":17.33519784860469,"endHours":18.33519784860469,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:20","end":"19:20","startHours":18.33519784860469,"endHours":19.33519784860469,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:20","end":"20:20","startHours":19.33519784860469,"endHours":20.33519784860469,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:20","end":"21:20","startHours":20.33519784860469,"endHours":21.33519784860469,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:20","end":"22:20","startHours":21.33519784860469,"endHours":22.33519784860469,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:20","end":"23:20","startHours":22.33519784860469,"endHours":23.33519784860469,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:20","end":"00:20","startHours":23.33519784860469,"endHours":24.33519784860469,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:20","end":"01:20","startHours":24.33519784860469,"endHours":25.33519784860469,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:20","end":"02:20","startHours":25.33519784860469,"endHours":26.33519784860469,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:20","end":"03:20","startHours":26.33519784860469,"endHours":27.33519784860469,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:20","end":"04:20","startHours":27.33519784860469,"endHours":28.33519784860469,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:20","end":"05:20","startHours":28.33519784860469,"endHours":29.33519784860469,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Mānasa","quality":"Auspicious"},"drikRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":20.14055848923254,"eotMinutes":3.539417782478063,"ayanamsa":24.1098}},"calendars":{"vikram_samvat":2075,"vikram_samvatsara":"Virodhakṛt","saka_samvat":1940,"saka_samvatsara":"Vilambī","bengali_samvat":1425,"malayalam_era":1194,"nanakshahi_year":549,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Śukla Pakṣa","solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Śukla Saptamī · Vikram 2075 Virodhakṛt · Śaka 1940 Vilambī"},"festivals":[{"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":"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 May 21, 2018 CE · Ṛṣikeśa · Vidhyamitra","description":"May 21, 2018 CE for Ṛṣikeśa: Śukla Saptamī, sūryodaya 05:20, sūryāsta 19:07.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2018-05-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2018-05-21","sa":"https://sa.vidhyamitra.com/city/rishikesh/2018-05-21","hi":"https://hi.vidhyamitra.com/city/rishikesh/2018-05-21","x-default":"https://vidhyamitra.com/city/rishikesh/2018-05-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T15:08:15.721Z","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":"2026-05-15T15:08:15.721Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T15:08:15.721Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}