{"id":"vidhyamitra:city-day:rishikesh:1931-05-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1931-05-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1931-05-15","date_display":"May 15, 1931 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":1931,"month":5,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2426476.770833,"kali_year":5033,"ahargana":1838011.2708,"sun":{"sidereal_longitude":30.5066,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":359.6474,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":329.1407,"elapsed_within_tithi_degrees":5.1407},"nakshatra":{"number":27,"name":"Revatī","pada":4,"moon_longitude":359.6474,"elapsed_within_degrees":12.9807},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":30.154},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":1931,"month":5,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2426476.770833,"ahargana":1838011.2708,"kali_year":5033,"ayanamsa_lahiri":22.8942,"grahas":{"sun":{"sidereal_longitude":30.363201000000004,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":0.6020009999999729,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false,"latitude":0.4956},"mars":{"sidereal_longitude":114.751601,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":11.679101000000003,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":84.84660099999996,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"venus":{"sidereal_longitude":0.7876009999999951,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":270.6783009999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":353.3177,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":173.3177,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","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":1931,"month":5,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2426476.770833,"kali_year":5033,"ahargana":1838011.2708,"sun":{"sidereal_longitude":30.5066,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":359.6474,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":329.1407,"elapsed_within_tithi_degrees":5.1407},"nakshatra":{"number":27,"name":"Revatī","pada":4,"moon_longitude":359.6474,"elapsed_within_degrees":12.9807},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":30.154},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.496,"elongation":30.859},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.496,"opposition_distance":149.141}},"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":"05:24","sunsetLocal":"19:02","solarNoonLocal":"12:13","dayLengthHours":13.636176048317896,"dayLengthDisplay":"13 Hours 38 Mins 10 Secs","nightLengthDisplay":"10 Hours 21 Mins 50 Secs","moonriseLocal":"03:50","moonsetLocal":"16:38","rahuKala":{"name":"Rāhu Kāla","start":"10:31","end":"12:13","startHours":10.515034645028162,"endHours":12.219556651067899,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:38","end":"17:20","startHours":15.628600663147374,"endHours":17.333122669187112,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:06","end":"08:49","startHours":7.1059906329486875,"endHours":8.810512638988424,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:35","end":"09:02","startHours":8.583243038183127,"endHours":9.037782239793723,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:58","end":"06:20","startHours":5.969642628922196,"endHours":6.333273990210674,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:40","startHours":11.765017449457302,"endHours":12.674095852678496,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:35","end":"04:30","startHours":3.583311820466565,"endHours":4.4923902236877575,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:16","end":"05:24","startHours":4.26512062288246,"endHours":5.401468626908951,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:30","end":"15:24","startHours":14.492252659120881,"endHours":15.401331062342074,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:50","end":"19:14","startHours":18.837644675226848,"endHours":19.237644675226846,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:02","end":"19:36","startHours":19.037644675226847,"endHours":19.605818677240094,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:47","end":"20:32","startHours":18.787644675226847,"endHours":20.537644675226847,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:40","startHours":23.7650174494573,"endHours":24.674095852678494,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:24","end":"07:06","startHours":5.401468626908951,"endHours":7.1059906329486875,"quality":"neutral"},{"name":"Labha","start":"07:06","end":"08:49","startHours":7.1059906329486875,"endHours":8.810512638988424,"quality":"auspicious"},{"name":"Amṛta","start":"08:49","end":"10:31","startHours":8.810512638988424,"endHours":10.515034645028162,"quality":"auspicious"},{"name":"Kāla","start":"10:31","end":"12:13","startHours":10.515034645028162,"endHours":12.219556651067899,"quality":"inauspicious"},{"name":"Śubha","start":"12:13","end":"13:55","startHours":12.219556651067899,"endHours":13.924078657107636,"quality":"auspicious"},{"name":"Roga","start":"13:55","end":"15:38","startHours":13.924078657107636,"endHours":15.628600663147374,"quality":"inauspicious"},{"name":"Udveg","start":"15:38","end":"17:20","startHours":15.628600663147374,"endHours":17.333122669187112,"quality":"inauspicious"},{"name":"Chala","start":"17:20","end":"19:02","startHours":17.333122669187112,"endHours":19.037644675226847,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"19:02","end":"20:20","startHours":19.037644675226847,"endHours":20.33312266918711,"quality":"inauspicious"},{"name":"Udveg","start":"20:20","end":"21:38","startHours":20.33312266918711,"endHours":21.628600663147374,"quality":"inauspicious"},{"name":"Chala","start":"21:38","end":"22:55","startHours":21.628600663147374,"endHours":22.924078657107636,"quality":"neutral"},{"name":"Labha","start":"22:55","end":"00:13","startHours":22.924078657107636,"endHours":24.219556651067897,"quality":"auspicious"},{"name":"Amṛta","start":"00:13","end":"01:31","startHours":24.219556651067897,"endHours":25.515034645028162,"quality":"auspicious"},{"name":"Kāla","start":"01:31","end":"02:49","startHours":25.515034645028162,"endHours":26.810512638988424,"quality":"inauspicious"},{"name":"Śubha","start":"02:49","end":"04:06","startHours":26.810512638988424,"endHours":28.10599063294869,"quality":"auspicious"},{"name":"Roga","start":"04:06","end":"05:24","startHours":28.10599063294869,"endHours":29.40146862690895,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:24","end":"06:24","startHours":5.401468626908951,"endHours":6.401468626908951,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:24","end":"07:24","startHours":6.401468626908951,"endHours":7.401468626908951,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:24","end":"08:24","startHours":7.401468626908951,"endHours":8.401468626908951,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:24","end":"09:24","startHours":8.401468626908951,"endHours":9.401468626908951,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:24","end":"10:24","startHours":9.401468626908951,"endHours":10.401468626908951,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:24","end":"11:24","startHours":10.401468626908951,"endHours":11.401468626908951,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:24","end":"12:24","startHours":11.401468626908951,"endHours":12.401468626908951,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:24","end":"13:24","startHours":12.401468626908951,"endHours":13.401468626908951,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:24","end":"14:24","startHours":13.401468626908951,"endHours":14.401468626908951,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:24","end":"15:24","startHours":14.401468626908951,"endHours":15.401468626908951,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:24","end":"16:24","startHours":15.401468626908951,"endHours":16.40146862690895,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:24","end":"17:24","startHours":16.40146862690895,"endHours":17.40146862690895,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:24","end":"18:24","startHours":17.40146862690895,"endHours":18.40146862690895,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:24","end":"19:24","startHours":18.40146862690895,"endHours":19.40146862690895,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:24","end":"20:24","startHours":19.40146862690895,"endHours":20.40146862690895,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:24","end":"21:24","startHours":20.40146862690895,"endHours":21.40146862690895,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:24","end":"22:24","startHours":21.40146862690895,"endHours":22.40146862690895,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:24","end":"23:24","startHours":22.40146862690895,"endHours":23.40146862690895,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:24","end":"00:24","startHours":23.40146862690895,"endHours":24.40146862690895,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:24","end":"01:24","startHours":24.40146862690895,"endHours":25.40146862690895,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:24","end":"02:24","startHours":25.40146862690895,"endHours":26.40146862690895,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:24","end":"03:24","startHours":26.40146862690895,"endHours":27.40146862690895,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:24","end":"04:24","startHours":27.40146862690895,"endHours":28.40146862690895,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:24","end":"05:24","startHours":28.40146862690895,"endHours":29.40146862690895,"planetary_lord":"Mars"}],"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","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"South-East","anandadiYoga":{"name":"Siddhi","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.58525475969406,"eotMinutes":3.7562009359260493,"ayanamsa":22.8942}},"calendars":{"vikram_samvat":1988,"vikram_samvatsara":"Tāraṇa","saka_samvat":1853,"saka_samvatsara":"Prajāpati","bengali_samvat":1338,"malayalam_era":1107,"nanakshahi_year":462,"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 Trayodaśī · Vikram 1988 Tāraṇa · Śaka 1853 Prajāpati"},"festivals":[{"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":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 15, 1931 CE · Ṛṣikeśa · Vidhyamitra","description":"May 15, 1931 CE for Ṛṣikeśa: Kṛṣṇa Trayodaśī, sūryodaya 05:24, sūryāsta 19:02.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1931-05-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1931-05-15","sa":"https://sa.vidhyamitra.com/city/rishikesh/1931-05-15","hi":"https://hi.vidhyamitra.com/city/rishikesh/1931-05-15","x-default":"https://vidhyamitra.com/city/rishikesh/1931-05-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T20:30:22.576Z","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":"2026-05-31T20:30:22.576Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T20:30:22.576Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}