{"id":"vidhyamitra:city-day:rishikesh:2039-05-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2039-05-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2039-05-21","date_display":"May 21, 2039 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":2039,"month":5,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2465929.770833,"kali_year":5141,"ahargana":1877464.2708,"sun":{"sidereal_longitude":35.3445,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":12.7521,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":337.4076,"elapsed_within_tithi_degrees":1.4076},"nakshatra":{"number":1,"name":"Aśvinī","pada":4,"moon_longitude":12.7521,"elapsed_within_degrees":12.7521},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":48.0965},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"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":2039,"month":5,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2465929.770833,"ahargana":1877464.2708,"kali_year":5141,"ayanamsa_lahiri":24.4032,"grahas":{"sun":{"sidereal_longitude":35.486806,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":13.440905999999984,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false,"latitude":-3.4536},"mars":{"sidereal_longitude":343.393606,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":39.41460599999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":117.78290600000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":79.98360600000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":147.39000599999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":62.9079,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":242.9079,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"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":2039,"month":5,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2465929.770833,"kali_year":5141,"ahargana":1877464.2708,"sun":{"sidereal_longitude":35.3445,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":12.7521,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":337.4076,"elapsed_within_tithi_degrees":1.4076},"nakshatra":{"number":1,"name":"Aśvinī","pada":4,"moon_longitude":12.7521,"elapsed_within_degrees":12.7521},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":48.0965},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.454,"elongation":22.592},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.454,"opposition_distance":157.408}},"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":13.774498609028939,"dayLengthDisplay":"13 Hours 46 Mins 28 Secs","nightLengthDisplay":"10 Hours 13 Mins 32 Secs","moonriseLocal":"04:09","moonsetLocal":"17:22","rahuKala":{"name":"Rāhu Kāla","start":"08:47","end":"10:30","startHours":8.779545051368132,"endHours":10.501357377496749,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:57","end":"15:40","startHours":13.944982029753984,"endHours":15.666794355882601,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:20","end":"07:03","startHours":5.335920399110896,"endHours":7.0577327252395134,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:33","end":"09:01","startHours":8.549970074550982,"endHours":9.00912002818528,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:55","end":"06:17","startHours":5.9098578411537686,"endHours":6.277177804061207,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:41","startHours":11.764019749991068,"endHours":12.682319657259665,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:30","end":"04:25","startHours":3.499320584573704,"endHours":4.4176204918423005,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:11","end":"05:20","startHours":4.188045515025151,"endHours":5.335920399110896,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:31","end":"15:26","startHours":14.518919471796856,"endHours":15.437219379065452,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:55","end":"19:19","startHours":18.910419008139836,"endHours":19.310419008139835,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:07","end":"19:41","startHours":19.110419008139836,"endHours":19.684356450182708,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:52","end":"20:37","startHours":18.860419008139836,"endHours":20.610419008139836,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:41","startHours":23.764019749991068,"endHours":24.682319657259665,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:20","end":"07:03","startHours":5.335920399110896,"endHours":7.0577327252395134,"quality":"inauspicious"},{"name":"Śubha","start":"07:03","end":"08:47","startHours":7.0577327252395134,"endHours":8.779545051368132,"quality":"auspicious"},{"name":"Roga","start":"08:47","end":"10:30","startHours":8.779545051368132,"endHours":10.501357377496749,"quality":"inauspicious"},{"name":"Udveg","start":"10:30","end":"12:13","startHours":10.501357377496749,"endHours":12.223169703625366,"quality":"inauspicious"},{"name":"Chala","start":"12:13","end":"13:57","startHours":12.223169703625366,"endHours":13.944982029753984,"quality":"neutral"},{"name":"Labha","start":"13:57","end":"15:40","startHours":13.944982029753984,"endHours":15.666794355882601,"quality":"auspicious"},{"name":"Amṛta","start":"15:40","end":"17:23","startHours":15.666794355882601,"endHours":17.38860668201122,"quality":"auspicious"},{"name":"Kāla","start":"17:23","end":"19:07","startHours":17.38860668201122,"endHours":19.110419008139836,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:07","end":"20:23","startHours":19.110419008139836,"endHours":20.38860668201122,"quality":"auspicious"},{"name":"Amṛta","start":"20:23","end":"21:40","startHours":20.38860668201122,"endHours":21.6667943558826,"quality":"auspicious"},{"name":"Kāla","start":"21:40","end":"22:57","startHours":21.6667943558826,"endHours":22.944982029753984,"quality":"inauspicious"},{"name":"Śubha","start":"22:57","end":"00:13","startHours":22.944982029753984,"endHours":24.223169703625366,"quality":"auspicious"},{"name":"Roga","start":"00:13","end":"01:30","startHours":24.223169703625366,"endHours":25.50135737749675,"quality":"inauspicious"},{"name":"Udveg","start":"01:30","end":"02:47","startHours":25.50135737749675,"endHours":26.77954505136813,"quality":"inauspicious"},{"name":"Chala","start":"02:47","end":"04:03","startHours":26.77954505136813,"endHours":28.057732725239514,"quality":"neutral"},{"name":"Labha","start":"04:03","end":"05:20","startHours":28.057732725239514,"endHours":29.335920399110897,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:20","end":"06:20","startHours":5.335920399110896,"endHours":6.335920399110896,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:20","end":"07:20","startHours":6.335920399110896,"endHours":7.335920399110896,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:20","end":"08:20","startHours":7.335920399110896,"endHours":8.335920399110897,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:20","end":"09:20","startHours":8.335920399110897,"endHours":9.335920399110897,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:20","end":"10:20","startHours":9.335920399110897,"endHours":10.335920399110897,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:20","end":"11:20","startHours":10.335920399110897,"endHours":11.335920399110897,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:20","end":"12:20","startHours":11.335920399110897,"endHours":12.335920399110897,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:20","end":"13:20","startHours":12.335920399110897,"endHours":13.335920399110897,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:20","end":"14:20","startHours":13.335920399110897,"endHours":14.335920399110897,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:20","end":"15:20","startHours":14.335920399110897,"endHours":15.335920399110897,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:20","end":"16:20","startHours":15.335920399110897,"endHours":16.335920399110897,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:20","end":"17:20","startHours":16.335920399110897,"endHours":17.335920399110897,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:20","end":"18:20","startHours":17.335920399110897,"endHours":18.335920399110897,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:20","end":"19:20","startHours":18.335920399110897,"endHours":19.335920399110897,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:20","end":"20:20","startHours":19.335920399110897,"endHours":20.335920399110897,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:20","end":"21:20","startHours":20.335920399110897,"endHours":21.335920399110897,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:20","end":"22:20","startHours":21.335920399110897,"endHours":22.335920399110897,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:20","end":"23:20","startHours":22.335920399110897,"endHours":23.335920399110897,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:20","end":"00:20","startHours":23.335920399110897,"endHours":24.335920399110897,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:20","end":"01:20","startHours":24.335920399110897,"endHours":25.335920399110897,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:20","end":"02:20","startHours":25.335920399110897,"endHours":26.335920399110897,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:20","end":"03:20","startHours":26.335920399110897,"endHours":27.335920399110897,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:20","end":"04:20","startHours":27.335920399110897,"endHours":28.335920399110897,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:20","end":"05:20","startHours":28.335920399110897,"endHours":29.335920399110897,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"East","anandadiYoga":{"name":"Rākṣasa","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":20.124669681018005,"eotMinutes":3.539417782478063,"ayanamsa":24.4032}},"calendars":{"vikram_samvat":2096,"vikram_samvatsara":"Aṅgirasa","saka_samvat":1961,"saka_samvatsara":"Siddhārthī","bengali_samvat":1446,"malayalam_era":1215,"nanakshahi_year":570,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","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":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Caturdaśī · Vikram 2096 Aṅgirasa · Śaka 1961 Siddhārthī"},"festivals":[{"id":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"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":[{"historical_date":"-3101-02-18","event":"Kali Yuga Epoch","chart_id":"kali-yuga-epoch","shared_marker":"same Aśvinī","url":"/day/-3101-02-18","relevance":0.5}]},"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, 2039 CE · Ṛṣikeśa · Vidhyamitra","description":"May 21, 2039 CE for Ṛṣikeśa: Kṛṣṇa Caturdaśī, sūryodaya 05:20, sūryāsta 19:07.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2039-05-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2039-05-21","sa":"https://sa.vidhyamitra.com/city/rishikesh/2039-05-21","hi":"https://hi.vidhyamitra.com/city/rishikesh/2039-05-21","x-default":"https://vidhyamitra.com/city/rishikesh/2039-05-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T18:09:22.220Z","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":"2026-06-02T18:09:22.220Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T18:09:22.220Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}