{"id":"vidhyamitra:city-day:rishikesh:2045-08-17:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2045-08-17","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-08-17","date_display":"August 17, 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":8,"day":17,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468209.770833,"kali_year":5147,"ahargana":1879744.2708,"sun":{"sidereal_longitude":119.3468,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":176.2875,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":56.9407,"elapsed_within_tithi_degrees":8.9407},"nakshatra":{"number":14,"name":"Citrā","pada":1,"moon_longitude":176.2875,"elapsed_within_degrees":2.9542},"yoga":{"number":23,"name":"Śubha","sum_longitude":295.6343},"karana":{"half_tithi_index":9,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":8,"day":17,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468209.770833,"ahargana":1879744.2708,"kali_year":5147,"ayanamsa_lahiri":24.4904,"grahas":{"sun":{"sidereal_longitude":120.07919400000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":179.44359399999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false,"latitude":-3.6478},"mars":{"sidereal_longitude":90.92729400000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":100.90049399999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":314.682094,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":157.50359400000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":219.81779400000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":302.1026,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":122.1026,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":2045,"month":8,"day":17,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468209.770833,"kali_year":5147,"ahargana":1879744.2708,"sun":{"sidereal_longitude":119.3468,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":176.2875,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":56.9407,"elapsed_within_tithi_degrees":8.9407},"nakshatra":{"number":14,"name":"Citrā","pada":1,"moon_longitude":176.2875,"elapsed_within_degrees":2.9542},"yoga":{"number":23,"name":"Śubha","sum_longitude":295.6343},"karana":{"half_tithi_index":9,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.648,"elongation":56.941},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.648,"opposition_distance":123.059}},"eclipse_window_40days":[{"offset_days":-19,"type":"lunar","occurs":true,"moon_latitude":-1.485,"opposition_distance":2.577}]},"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":"05:45","sunsetLocal":"18:56","solarNoonLocal":"12:21","dayLengthHours":13.185450405736718,"dayLengthDisplay":"13 Hours 11 Mins 08 Secs","nightLengthDisplay":"10 Hours 48 Mins 52 Secs","moonriseLocal":"10:37","moonsetLocal":"21:59","rahuKala":{"name":"Rāhu Kāla","start":"14:00","end":"15:38","startHours":13.992900993285721,"endHours":15.64108229400281,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:45","end":"07:24","startHours":5.751994489700271,"endHours":7.400175790417361,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:03","end":"10:42","startHours":9.04835709113445,"endHours":10.69653839185154,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:50","end":"09:16","startHours":8.828599584372173,"endHours":9.26811459789673,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:18","end":"06:39","startHours":6.301388256605968,"endHours":6.653000267425614,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:47","startHours":11.905204679044074,"endHours":12.784234706093189,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:00","end":"04:52","startHours":3.993934435602042,"endHours":4.872964462651157,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:39","end":"05:45","startHours":4.653206955888878,"endHours":5.751994489700271,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:33","end":"15:25","startHours":14.542294760191417,"endHours":15.421324787240533,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:44","end":"19:08","startHours":18.73744489543699,"endHours":19.13744489543699,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:56","end":"19:29","startHours":18.93744489543699,"endHours":19.486838662342688,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:41","end":"20:26","startHours":18.68744489543699,"endHours":20.43744489543699,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:47","startHours":23.905204679044076,"endHours":24.784234706093187,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:45","end":"07:24","startHours":5.751994489700271,"endHours":7.400175790417361,"quality":"auspicious"},{"name":"Roga","start":"07:24","end":"09:03","startHours":7.400175790417361,"endHours":9.04835709113445,"quality":"inauspicious"},{"name":"Udveg","start":"09:03","end":"10:42","startHours":9.04835709113445,"endHours":10.69653839185154,"quality":"inauspicious"},{"name":"Chala","start":"10:42","end":"12:21","startHours":10.69653839185154,"endHours":12.344719692568631,"quality":"neutral"},{"name":"Labha","start":"12:21","end":"14:00","startHours":12.344719692568631,"endHours":13.992900993285721,"quality":"auspicious"},{"name":"Amṛta","start":"14:00","end":"15:38","startHours":13.992900993285721,"endHours":15.64108229400281,"quality":"auspicious"},{"name":"Kāla","start":"15:38","end":"17:17","startHours":15.64108229400281,"endHours":17.2892635947199,"quality":"inauspicious"},{"name":"Śubha","start":"17:17","end":"18:56","startHours":17.2892635947199,"endHours":18.93744489543699,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:56","end":"20:17","startHours":18.93744489543699,"endHours":20.2892635947199,"quality":"auspicious"},{"name":"Kāla","start":"20:17","end":"21:38","startHours":20.2892635947199,"endHours":21.64108229400281,"quality":"inauspicious"},{"name":"Śubha","start":"21:38","end":"23:00","startHours":21.64108229400281,"endHours":22.99290099328572,"quality":"auspicious"},{"name":"Roga","start":"23:00","end":"00:21","startHours":22.99290099328572,"endHours":24.34471969256863,"quality":"inauspicious"},{"name":"Udveg","start":"00:21","end":"01:42","startHours":24.34471969256863,"endHours":25.69653839185154,"quality":"inauspicious"},{"name":"Chala","start":"01:42","end":"03:03","startHours":25.69653839185154,"endHours":27.04835709113445,"quality":"neutral"},{"name":"Labha","start":"03:03","end":"04:24","startHours":27.04835709113445,"endHours":28.40017579041736,"quality":"auspicious"},{"name":"Amṛta","start":"04:24","end":"05:45","startHours":28.40017579041736,"endHours":29.751994489700273,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:45","end":"06:45","startHours":5.751994489700271,"endHours":6.751994489700271,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:45","end":"07:45","startHours":6.751994489700271,"endHours":7.751994489700271,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:45","end":"08:45","startHours":7.751994489700271,"endHours":8.751994489700271,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:45","end":"09:45","startHours":8.751994489700271,"endHours":9.751994489700271,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:45","end":"10:45","startHours":9.751994489700271,"endHours":10.751994489700271,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:45","end":"11:45","startHours":10.751994489700271,"endHours":11.751994489700271,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:45","end":"12:45","startHours":11.751994489700271,"endHours":12.751994489700271,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:45","end":"13:45","startHours":12.751994489700271,"endHours":13.751994489700271,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:45","end":"14:45","startHours":13.751994489700271,"endHours":14.751994489700271,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:45","end":"15:45","startHours":14.751994489700271,"endHours":15.751994489700271,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:45","end":"16:45","startHours":15.751994489700271,"endHours":16.751994489700273,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:45","end":"17:45","startHours":16.751994489700273,"endHours":17.751994489700273,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:45","end":"18:45","startHours":17.751994489700273,"endHours":18.751994489700273,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:45","end":"19:45","startHours":18.751994489700273,"endHours":19.751994489700273,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:45","end":"20:45","startHours":19.751994489700273,"endHours":20.751994489700273,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:45","end":"21:45","startHours":20.751994489700273,"endHours":21.751994489700273,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:45","end":"22:45","startHours":21.751994489700273,"endHours":22.751994489700273,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:45","end":"23:45","startHours":22.751994489700273,"endHours":23.751994489700273,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:45","end":"00:45","startHours":23.751994489700273,"endHours":24.751994489700273,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:45","end":"01:45","startHours":24.751994489700273,"endHours":25.751994489700273,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:45","end":"02:45","startHours":25.751994489700273,"endHours":26.751994489700273,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:45","end":"03:45","startHours":26.751994489700273,"endHours":27.751994489700273,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:45","end":"04:45","startHours":27.751994489700273,"endHours":28.751994489700273,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:45","end":"05:45","startHours":28.751994489700273,"endHours":29.751994489700273,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"North-West","rahuVasa":"North-West","anandadiYoga":{"name":"Kāladaṇḍa","quality":"Inauspicious"},"drikRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":13.330687893620187,"eotMinutes":-3.7535815541179196,"ayanamsa":24.4904}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Pañcamī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[{"id":"simha-sankranti","name":"Siṁha Saṅkrānti","name_sanskrit":"सिंह सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Leo.","vrata":false,"detection":{"sun_rashi":"Siṃha"},"precedence":5}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 August 17, 2045 CE · Ṛṣikeśa · Vidhyamitra","description":"August 17, 2045 CE for Ṛṣikeśa: Śukla Pañcamī, sūryodaya 05:45, sūryāsta 18:56.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2045-08-17","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2045-08-17","sa":"https://sa.vidhyamitra.com/city/rishikesh/2045-08-17","hi":"https://hi.vidhyamitra.com/city/rishikesh/2045-08-17","x-default":"https://vidhyamitra.com/city/rishikesh/2045-08-17"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-17T01:25:26.050Z","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":"2026-05-17T01:25:26.050Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-17T01:25:26.050Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}