{"id":"vidhyamitra:city-day:rishikesh:2021-05-09:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2021-05-09","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2021-05-09","date_display":"May 9, 2021 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":2021,"month":5,"day":9,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459343.770833,"kali_year":5123,"ahargana":1870878.2708,"sun":{"sidereal_longitude":24.4711,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":353.3855,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":328.9144,"elapsed_within_tithi_degrees":4.9144},"nakshatra":{"number":27,"name":"Revatī","pada":3,"moon_longitude":353.3855,"elapsed_within_degrees":6.7189},"yoga":{"number":2,"name":"Prīti","sum_longitude":17.8567},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2021,"month":5,"day":9,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2459343.770833,"ahargana":1870878.2708,"kali_year":5123,"ayanamsa_lahiri":24.1513,"grahas":{"sun":{"sidereal_longitude":24.50243999999998,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":354.56084,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false,"latitude":-3.835},"mars":{"sidereal_longitude":75.03394000000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":43.84194000000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":305.25253999999995,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":35.524339999999995,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":289.21504000000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":51.8659,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":231.8659,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"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":2021,"month":5,"day":9,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459343.770833,"kali_year":5123,"ahargana":1870878.2708,"sun":{"sidereal_longitude":24.4711,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":353.3855,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":328.9144,"elapsed_within_tithi_degrees":4.9144},"nakshatra":{"number":27,"name":"Revatī","pada":3,"moon_longitude":353.3855,"elapsed_within_degrees":6.7189},"yoga":{"number":2,"name":"Prīti","sum_longitude":17.8567},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.835,"elongation":31.086},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.835,"opposition_distance":148.914}},"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":"05:27","sunsetLocal":"18:59","solarNoonLocal":"12:13","dayLengthHours":13.529447150220673,"dayLengthDisplay":"13 Hours 31 Mins 46 Secs","nightLengthDisplay":"10 Hours 28 Mins 14 Secs","moonriseLocal":"03:54","moonsetLocal":"16:33","rahuKala":{"name":"Rāhu Kāla","start":"17:18","end":"18:59","startHours":17.29517837359365,"endHours":18.986359267371235,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:13","end":"13:55","startHours":12.2216356922609,"endHours":13.912816586038485,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:36","end":"17:18","startHours":15.603997479816066,"endHours":17.29517837359365,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:37","end":"09:04","startHours":8.61378311886872,"endHours":9.064764690542741,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:01","end":"06:23","startHours":6.0206390817430915,"endHours":6.38142433908231,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:40","startHours":11.770654120586876,"endHours":12.67261726393492,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:39","end":"04:33","startHours":3.6529858304544733,"endHours":4.554948973802518,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:20","end":"05:27","startHours":4.329458187965507,"endHours":5.456912117150563,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:29","end":"15:23","startHours":14.47654355063101,"endHours":15.378506693979055,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:47","end":"19:11","startHours":18.786359267371235,"endHours":19.186359267371234,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:59","end":"19:33","startHours":18.986359267371235,"endHours":19.550086231963764,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:44","end":"20:29","startHours":18.736359267371235,"endHours":20.486359267371235,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:40","startHours":23.770654120586876,"endHours":24.672617263934917,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:27","end":"07:09","startHours":5.456912117150563,"endHours":7.148093010928147,"quality":"inauspicious"},{"name":"Chala","start":"07:09","end":"08:50","startHours":7.148093010928147,"endHours":8.839273904705731,"quality":"neutral"},{"name":"Labha","start":"08:50","end":"10:32","startHours":8.839273904705731,"endHours":10.530454798483316,"quality":"auspicious"},{"name":"Amṛta","start":"10:32","end":"12:13","startHours":10.530454798483316,"endHours":12.2216356922609,"quality":"auspicious"},{"name":"Kāla","start":"12:13","end":"13:55","startHours":12.2216356922609,"endHours":13.912816586038485,"quality":"inauspicious"},{"name":"Śubha","start":"13:55","end":"15:36","startHours":13.912816586038485,"endHours":15.603997479816066,"quality":"auspicious"},{"name":"Roga","start":"15:36","end":"17:18","startHours":15.603997479816066,"endHours":17.29517837359365,"quality":"inauspicious"},{"name":"Udveg","start":"17:18","end":"18:59","startHours":17.29517837359365,"endHours":18.986359267371235,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:59","end":"20:18","startHours":18.986359267371235,"endHours":20.29517837359365,"quality":"auspicious"},{"name":"Roga","start":"20:18","end":"21:36","startHours":20.29517837359365,"endHours":21.603997479816066,"quality":"inauspicious"},{"name":"Udveg","start":"21:36","end":"22:55","startHours":21.603997479816066,"endHours":22.91281658603848,"quality":"inauspicious"},{"name":"Chala","start":"22:55","end":"00:13","startHours":22.91281658603848,"endHours":24.221635692260897,"quality":"neutral"},{"name":"Labha","start":"00:13","end":"01:32","startHours":24.221635692260897,"endHours":25.530454798483312,"quality":"auspicious"},{"name":"Amṛta","start":"01:32","end":"02:50","startHours":25.530454798483312,"endHours":26.83927390470573,"quality":"auspicious"},{"name":"Kāla","start":"02:50","end":"04:09","startHours":26.83927390470573,"endHours":28.148093010928147,"quality":"inauspicious"},{"name":"Śubha","start":"04:09","end":"05:27","startHours":28.148093010928147,"endHours":29.456912117150562,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:27","end":"06:27","startHours":5.456912117150563,"endHours":6.456912117150563,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:27","end":"07:27","startHours":6.456912117150563,"endHours":7.456912117150563,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:27","end":"08:27","startHours":7.456912117150563,"endHours":8.456912117150562,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:27","end":"09:27","startHours":8.456912117150562,"endHours":9.456912117150562,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:27","end":"10:27","startHours":9.456912117150562,"endHours":10.456912117150562,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:27","end":"11:27","startHours":10.456912117150562,"endHours":11.456912117150562,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:27","end":"12:27","startHours":11.456912117150562,"endHours":12.456912117150562,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:27","end":"13:27","startHours":12.456912117150562,"endHours":13.456912117150562,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:27","end":"14:27","startHours":13.456912117150562,"endHours":14.456912117150562,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:27","end":"15:27","startHours":14.456912117150562,"endHours":15.456912117150562,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:27","end":"16:27","startHours":15.456912117150562,"endHours":16.456912117150562,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:27","end":"17:27","startHours":16.456912117150562,"endHours":17.456912117150562,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:27","end":"18:27","startHours":17.456912117150562,"endHours":18.456912117150562,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:27","end":"19:27","startHours":18.456912117150562,"endHours":19.456912117150562,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:27","end":"20:27","startHours":19.456912117150562,"endHours":20.456912117150562,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:27","end":"21:27","startHours":20.456912117150562,"endHours":21.456912117150562,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:27","end":"22:27","startHours":21.456912117150562,"endHours":22.456912117150562,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:27","end":"23:27","startHours":22.456912117150562,"endHours":23.456912117150562,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:27","end":"00:27","startHours":23.456912117150562,"endHours":24.456912117150562,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:27","end":"01:27","startHours":24.456912117150562,"endHours":25.456912117150562,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:27","end":"02:27","startHours":25.456912117150562,"endHours":26.456912117150562,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:27","end":"03:27","startHours":26.456912117150562,"endHours":27.456912117150562,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:27","end":"04:27","startHours":27.456912117150562,"endHours":28.456912117150562,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:27","end":"05:27","startHours":28.456912117150562,"endHours":29.456912117150562,"planetary_lord":"Jupiter"}],"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":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Sushira","quality":"Auspicious"},"drikRitu":"Vasanta (Spring) (Drik)","vedicRitu":"Vasanta (Spring)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":17.37294047780707,"eotMinutes":3.631458464346112,"ayanamsa":24.1513}},"calendars":{"vikram_samvat":2078,"vikram_samvatsara":"Ānanda","saka_samvat":1943,"saka_samvatsara":"Plava","bengali_samvat":1428,"malayalam_era":1197,"nanakshahi_year":552,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Kṛṣṇa Pakṣa","solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Kṛṣṇa Trayodaśī · Vikram 2078 Ānanda · Śaka 1943 Plava"},"festivals":[{"id":"mesha-sankranti","name":"Meṣa Saṅkrānti (Vaiśākhī / Vishu / Pohelā Boishākh / Bihu)","name_sanskrit":"मेष सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Aries; solar new year. Regional: Vaiśākhī (Punjab) · Vishu (Kerala) · Pohelā Boishākh (Bengal) · Bihu (Assam) · Tamil Puthāṇḍu.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":1},{"id":"baisakhi","name":"Baisakhi (Vaiśākhī)","name_sanskrit":"वैशाखी","tradition":"Regional","associated_deity":"Sūrya + Khalsa Pantha (Sikh)","significance":"Punjab New Year + Sikh Khalsa founding day.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":2},{"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":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 9, 2021 CE · Ṛṣikeśa · Vidhyamitra","description":"May 9, 2021 CE for Ṛṣikeśa: Kṛṣṇa Trayodaśī, sūryodaya 05:27, sūryāsta 18:59.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2021-05-09","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2021-05-09","sa":"https://sa.vidhyamitra.com/city/rishikesh/2021-05-09","hi":"https://hi.vidhyamitra.com/city/rishikesh/2021-05-09","x-default":"https://vidhyamitra.com/city/rishikesh/2021-05-09"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T05:54:08.077Z","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":"2026-05-15T05:54:08.077Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T05:54:08.077Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}