{"id":"vidhyamitra:city-day:rishikesh:2045-05-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2045-05-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-05-15","date_display":"May 15, 2045 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":2045,"month":5,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468115.770833,"kali_year":5147,"ahargana":1879650.2708,"sun":{"sidereal_longitude":30.0291,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":7.3883,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":337.3591,"elapsed_within_tithi_degrees":1.3591},"nakshatra":{"number":1,"name":"Aśvinī","pada":3,"moon_longitude":7.3883,"elapsed_within_degrees":7.3883},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":37.4174},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"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":2045,"month":5,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468115.770833,"ahargana":1879650.2708,"kali_year":5147,"ayanamsa_lahiri":24.4868,"grahas":{"sun":{"sidereal_longitude":30.150885000000017,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":8.220584999999971,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false,"latitude":3.9081},"mars":{"sidereal_longitude":26.506584999999973,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":16.869484999999997,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":314.604785,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":44.23538500000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":224.14428499999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":307.0831,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":127.0831,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":2045,"month":5,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468115.770833,"kali_year":5147,"ahargana":1879650.2708,"sun":{"sidereal_longitude":30.0291,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":7.3883,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":337.3591,"elapsed_within_tithi_degrees":1.3591},"nakshatra":{"number":1,"name":"Aśvinī","pada":3,"moon_longitude":7.3883,"elapsed_within_degrees":7.3883},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":37.4174},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.908,"elongation":22.641},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.908,"opposition_distance":157.359}},"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":"05:23","sunsetLocal":"19:03","solarNoonLocal":"12:13","dayLengthHours":13.666554375459786,"dayLengthDisplay":"13 Hours 40 Mins 00 Secs","nightLengthDisplay":"10 Hours 20 Mins 00 Secs","moonriseLocal":"04:13","moonsetLocal":"17:18","rahuKala":{"name":"Rāhu Kāla","start":"07:06","end":"08:48","startHours":7.094598760270479,"endHours":8.802918057202952,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:31","end":"12:13","startHours":10.511237354135424,"endHours":12.219556651067897,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:56","end":"15:38","startHours":13.92787594800037,"endHours":15.636195244932846,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:35","end":"09:02","startHours":8.57514215094529,"endHours":9.030693963460614,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:57","end":"06:19","startHours":5.955719228982163,"endHours":6.320160678994424,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:41","startHours":11.764004838552573,"endHours":12.675108463583225,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:34","end":"04:29","startHours":3.5640722132767007,"endHours":4.4751758383073525,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:15","end":"05:23","startHours":4.2473999320496905,"endHours":5.386279463338005,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:30","end":"15:25","startHours":14.497315713644529,"endHours":15.40841933867518,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:51","end":"19:15","startHours":18.852833838797793,"endHours":19.25283383879779,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:03","end":"19:37","startHours":19.052833838797792,"endHours":19.62227360444195,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:48","end":"20:33","startHours":18.802833838797792,"endHours":20.552833838797792,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:41","startHours":23.76400483855257,"endHours":24.675108463583225,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:23","end":"07:06","startHours":5.386279463338005,"endHours":7.094598760270479,"quality":"auspicious"},{"name":"Kāla","start":"07:06","end":"08:48","startHours":7.094598760270479,"endHours":8.802918057202952,"quality":"inauspicious"},{"name":"Śubha","start":"08:48","end":"10:31","startHours":8.802918057202952,"endHours":10.511237354135424,"quality":"auspicious"},{"name":"Roga","start":"10:31","end":"12:13","startHours":10.511237354135424,"endHours":12.219556651067897,"quality":"inauspicious"},{"name":"Udveg","start":"12:13","end":"13:56","startHours":12.219556651067897,"endHours":13.92787594800037,"quality":"inauspicious"},{"name":"Chala","start":"13:56","end":"15:38","startHours":13.92787594800037,"endHours":15.636195244932846,"quality":"neutral"},{"name":"Labha","start":"15:38","end":"17:21","startHours":15.636195244932846,"endHours":17.34451454186532,"quality":"auspicious"},{"name":"Amṛta","start":"17:21","end":"19:03","startHours":17.34451454186532,"endHours":19.052833838797792,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:03","end":"20:21","startHours":19.052833838797792,"endHours":20.34451454186532,"quality":"neutral"},{"name":"Labha","start":"20:21","end":"21:38","startHours":20.34451454186532,"endHours":21.636195244932846,"quality":"auspicious"},{"name":"Amṛta","start":"21:38","end":"22:56","startHours":21.636195244932846,"endHours":22.927875948000374,"quality":"auspicious"},{"name":"Kāla","start":"22:56","end":"00:13","startHours":22.927875948000374,"endHours":24.219556651067897,"quality":"inauspicious"},{"name":"Śubha","start":"00:13","end":"01:31","startHours":24.219556651067897,"endHours":25.511237354135424,"quality":"auspicious"},{"name":"Roga","start":"01:31","end":"02:48","startHours":25.511237354135424,"endHours":26.80291805720295,"quality":"inauspicious"},{"name":"Udveg","start":"02:48","end":"04:06","startHours":26.80291805720295,"endHours":28.09459876027048,"quality":"inauspicious"},{"name":"Chala","start":"04:06","end":"05:23","startHours":28.09459876027048,"endHours":29.386279463338006,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:23","end":"06:23","startHours":5.386279463338005,"endHours":6.386279463338005,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:23","end":"07:23","startHours":6.386279463338005,"endHours":7.386279463338005,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:23","end":"08:23","startHours":7.386279463338005,"endHours":8.386279463338006,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:23","end":"09:23","startHours":8.386279463338006,"endHours":9.386279463338006,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:23","end":"10:23","startHours":9.386279463338006,"endHours":10.386279463338006,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:23","end":"11:23","startHours":10.386279463338006,"endHours":11.386279463338006,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:23","end":"12:23","startHours":11.386279463338006,"endHours":12.386279463338006,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:23","end":"13:23","startHours":12.386279463338006,"endHours":13.386279463338006,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:23","end":"14:23","startHours":13.386279463338006,"endHours":14.386279463338006,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:23","end":"15:23","startHours":14.386279463338006,"endHours":15.386279463338006,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:23","end":"16:23","startHours":15.386279463338006,"endHours":16.386279463338006,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:23","end":"17:23","startHours":16.386279463338006,"endHours":17.386279463338006,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:23","end":"18:23","startHours":17.386279463338006,"endHours":18.386279463338006,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:23","end":"19:23","startHours":18.386279463338006,"endHours":19.386279463338006,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:23","end":"20:23","startHours":19.386279463338006,"endHours":20.386279463338006,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:23","end":"21:23","startHours":20.386279463338006,"endHours":21.386279463338006,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:23","end":"22:23","startHours":21.386279463338006,"endHours":22.386279463338006,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:23","end":"23:23","startHours":22.386279463338006,"endHours":23.386279463338006,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:23","end":"00:23","startHours":23.386279463338006,"endHours":24.386279463338006,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:23","end":"01:23","startHours":24.386279463338006,"endHours":25.386279463338006,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:23","end":"02:23","startHours":25.386279463338006,"endHours":26.386279463338006,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:23","end":"03:23","startHours":26.386279463338006,"endHours":27.386279463338006,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:23","end":"04:23","startHours":27.386279463338006,"endHours":28.386279463338006,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:23","end":"05:23","startHours":28.386279463338006,"endHours":29.386279463338006,"planetary_lord":"Venus"}],"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":"North-East","anandadiYoga":{"name":"Saumya","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":18.92645725465091,"eotMinutes":3.7562009359260493,"ayanamsa":24.4868}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa Pakṣa","solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Caturdaśī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"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},{"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":"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":[{"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 15, 2045 CE · Ṛṣikeśa · Vidhyamitra","description":"May 15, 2045 CE for Ṛṣikeśa: Kṛṣṇa Caturdaśī, sūryodaya 05:23, sūryāsta 19:03.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2045-05-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2045-05-15","sa":"https://sa.vidhyamitra.com/city/rishikesh/2045-05-15","hi":"https://hi.vidhyamitra.com/city/rishikesh/2045-05-15","x-default":"https://vidhyamitra.com/city/rishikesh/2045-05-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-24T17:43:06.687Z","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":"2026-05-24T17:43:06.687Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-24T17:43:06.687Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}