{"id":"vidhyamitra:city-day:rishikesh:2051-08-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2051-08-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2051-08-15","date_display":"August 15, 2051 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":2051,"month":8,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470398.770833,"kali_year":5153,"ahargana":1881933.2708,"sun":{"sidereal_longitude":116.907,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":213.1121,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":96.205,"elapsed_within_tithi_degrees":0.205},"nakshatra":{"number":16,"name":"Viśākhā","pada":4,"moon_longitude":213.1121,"elapsed_within_degrees":13.1121},"yoga":{"number":25,"name":"Brahma","sum_longitude":330.0191},"karana":{"half_tithi_index":16,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2051,"month":8,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2470398.770833,"ahargana":1881933.2708,"kali_year":5153,"ayanamsa_lahiri":24.5741,"grahas":{"sun":{"sidereal_longitude":117.640758,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":211.30365800000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false,"latitude":2.0408},"mars":{"sidereal_longitude":125.629458,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":104.83565800000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":135.63135799999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":119.64095800000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":291.594958,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":186.1188,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":6.1188,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","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":2051,"month":8,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470398.770833,"kali_year":5153,"ahargana":1881933.2708,"sun":{"sidereal_longitude":116.907,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":213.1121,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":96.205,"elapsed_within_tithi_degrees":0.205},"nakshatra":{"number":16,"name":"Viśākhā","pada":4,"moon_longitude":213.1121,"elapsed_within_degrees":13.1121},"yoga":{"number":25,"name":"Brahma","sum_longitude":330.0191},"karana":{"half_tithi_index":16,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.041,"elongation":96.205},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.041,"opposition_distance":83.795}},"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":"05:44","sunsetLocal":"18:59","solarNoonLocal":"12:21","dayLengthHours":13.25004661023754,"dayLengthDisplay":"13 Hours 15 Mins 00 Secs","nightLengthDisplay":"10 Hours 45 Mins 00 Secs","moonriseLocal":"13:19","moonsetLocal":"23:52","rahuKala":{"name":"Rāhu Kāla","start":"15:40","end":"17:19","startHours":15.664283448003196,"endHours":17.320539274282886,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:02","end":"10:42","startHours":9.039260142884427,"endHours":10.695515969164118,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:21","end":"14:00","startHours":12.35177179544381,"endHours":14.008027621723503,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:49","end":"09:16","startHours":8.8184260327138,"endHours":9.260094253055051,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:17","end":"06:38","startHours":6.278833765751605,"endHours":6.632168342024606,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:48","startHours":11.910103575102559,"endHours":12.79344001578506,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:58","end":"04:51","startHours":3.9600756089600355,"endHours":4.843412049642538,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:37","end":"05:44","startHours":4.622577939471912,"endHours":5.726748490325041,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:34","end":"15:27","startHours":14.560112897150066,"endHours":15.443449337832568,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:47","end":"19:11","startHours":18.77679510056258,"endHours":19.17679510056258,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:59","end":"19:32","startHours":18.97679510056258,"endHours":19.528880375989143,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:44","end":"20:29","startHours":18.72679510056258,"endHours":20.47679510056258,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:48","startHours":23.910103575102557,"endHours":24.793440015785063,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:44","end":"07:23","startHours":5.726748490325041,"endHours":7.383004316604733,"quality":"inauspicious"},{"name":"Udveg","start":"07:23","end":"09:02","startHours":7.383004316604733,"endHours":9.039260142884427,"quality":"inauspicious"},{"name":"Chala","start":"09:02","end":"10:42","startHours":9.039260142884427,"endHours":10.695515969164118,"quality":"neutral"},{"name":"Labha","start":"10:42","end":"12:21","startHours":10.695515969164118,"endHours":12.35177179544381,"quality":"auspicious"},{"name":"Amṛta","start":"12:21","end":"14:00","startHours":12.35177179544381,"endHours":14.008027621723503,"quality":"auspicious"},{"name":"Kāla","start":"14:00","end":"15:40","startHours":14.008027621723503,"endHours":15.664283448003196,"quality":"inauspicious"},{"name":"Śubha","start":"15:40","end":"17:19","startHours":15.664283448003196,"endHours":17.320539274282886,"quality":"auspicious"},{"name":"Roga","start":"17:19","end":"18:59","startHours":17.320539274282886,"endHours":18.97679510056258,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:59","end":"20:19","startHours":18.97679510056258,"endHours":20.320539274282886,"quality":"inauspicious"},{"name":"Śubha","start":"20:19","end":"21:40","startHours":20.320539274282886,"endHours":21.664283448003196,"quality":"auspicious"},{"name":"Roga","start":"21:40","end":"23:00","startHours":21.664283448003196,"endHours":23.008027621723503,"quality":"inauspicious"},{"name":"Udveg","start":"23:00","end":"00:21","startHours":23.008027621723503,"endHours":24.35177179544381,"quality":"inauspicious"},{"name":"Chala","start":"00:21","end":"01:42","startHours":24.35177179544381,"endHours":25.695515969164116,"quality":"neutral"},{"name":"Labha","start":"01:42","end":"03:02","startHours":25.695515969164116,"endHours":27.039260142884423,"quality":"auspicious"},{"name":"Amṛta","start":"03:02","end":"04:23","startHours":27.039260142884423,"endHours":28.383004316604733,"quality":"auspicious"},{"name":"Kāla","start":"04:23","end":"05:44","startHours":28.383004316604733,"endHours":29.72674849032504,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:44","end":"06:44","startHours":5.726748490325041,"endHours":6.726748490325041,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:44","end":"07:44","startHours":6.726748490325041,"endHours":7.726748490325041,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:44","end":"08:44","startHours":7.726748490325041,"endHours":8.72674849032504,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:44","end":"09:44","startHours":8.72674849032504,"endHours":9.72674849032504,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:44","end":"10:44","startHours":9.72674849032504,"endHours":10.72674849032504,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:44","end":"11:44","startHours":10.72674849032504,"endHours":11.72674849032504,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:44","end":"12:44","startHours":11.72674849032504,"endHours":12.72674849032504,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:44","end":"13:44","startHours":12.72674849032504,"endHours":13.72674849032504,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:44","end":"14:44","startHours":13.72674849032504,"endHours":14.72674849032504,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:44","end":"15:44","startHours":14.72674849032504,"endHours":15.72674849032504,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:44","end":"16:44","startHours":15.72674849032504,"endHours":16.72674849032504,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:44","end":"17:44","startHours":16.72674849032504,"endHours":17.72674849032504,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:44","end":"18:44","startHours":17.72674849032504,"endHours":18.72674849032504,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:44","end":"19:44","startHours":18.72674849032504,"endHours":19.72674849032504,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:44","end":"20:44","startHours":19.72674849032504,"endHours":20.72674849032504,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:44","end":"21:44","startHours":20.72674849032504,"endHours":21.72674849032504,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:44","end":"22:44","startHours":21.72674849032504,"endHours":22.72674849032504,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:44","end":"23:44","startHours":22.72674849032504,"endHours":23.72674849032504,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:44","end":"00:44","startHours":23.72674849032504,"endHours":24.72674849032504,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:44","end":"01:44","startHours":24.72674849032504,"endHours":25.72674849032504,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:44","end":"02:44","startHours":25.72674849032504,"endHours":26.72674849032504,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:44","end":"03:44","startHours":26.72674849032504,"endHours":27.72674849032504,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:44","end":"04:44","startHours":27.72674849032504,"endHours":28.72674849032504,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:44","end":"05:44","startHours":28.72674849032504,"endHours":29.72674849032504,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"North-East","rahuVasa":"North","anandadiYoga":{"name":"Mātaṇga","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":14.104520158257284,"eotMinutes":-4.176707726628523,"ayanamsa":24.5741}},"calendars":{"vikram_samvat":2108,"vikram_samvatsara":"Tāraṇa","saka_samvat":1973,"saka_samvatsara":"Prajāpati","bengali_samvat":1458,"malayalam_era":1227,"nanakshahi_year":582,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Navamī · Vikram 2108 Tāraṇa · Śaka 1973 Prajāpati"},"festivals":[],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Śukla Navamī","url":"/day/-1626101-04-03","relevance":0.5},{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Viśākhā","url":"/day/-0562-04-11","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 August 15, 2051 CE · Ṛṣikeśa · Vidhyamitra","description":"August 15, 2051 CE for Ṛṣikeśa: Śukla Navamī, sūryodaya 05:44, sūryāsta 18:59.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2051-08-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2051-08-15","sa":"https://sa.vidhyamitra.com/city/rishikesh/2051-08-15","hi":"https://hi.vidhyamitra.com/city/rishikesh/2051-08-15","x-default":"https://vidhyamitra.com/city/rishikesh/2051-08-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T20:04:14.504Z","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":"2026-06-01T20:04:14.504Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T20:04:14.504Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}