{"id":"vidhyamitra:city-day:rishikesh:2167-05-17:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2167-05-17","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2167-05-17","date_display":"May 17, 2167 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":2167,"month":5,"day":17,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2512676.770833,"kali_year":5269,"ahargana":1924211.2708,"sun":{"sidereal_longitude":29.4843,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":2.5761,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":333.0918,"elapsed_within_tithi_degrees":9.0918},"nakshatra":{"number":1,"name":"Aśvinī","pada":1,"moon_longitude":2.5761,"elapsed_within_degrees":2.5761},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":32.0604},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2167,"month":5,"day":17,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2512676.770833,"ahargana":1924211.2708,"kali_year":5269,"ayanamsa_lahiri":26.1911,"grahas":{"sun":{"sidereal_longitude":29.890926999999976,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":1.7777270000000271,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false,"latitude":-4.3763},"mars":{"sidereal_longitude":352.103327,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":27.353627000000017,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":48.664827,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":70.74762699999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":273.198627,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":106.0269,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":286.0269,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","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":2167,"month":5,"day":17,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2512676.770833,"kali_year":5269,"ahargana":1924211.2708,"sun":{"sidereal_longitude":29.4843,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":2.5761,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":333.0918,"elapsed_within_tithi_degrees":9.0918},"nakshatra":{"number":1,"name":"Aśvinī","pada":1,"moon_longitude":2.5761,"elapsed_within_degrees":2.5761},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":32.0604},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.376,"elongation":26.908},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.376,"opposition_distance":153.092}},"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":"05:22","sunsetLocal":"19:04","solarNoonLocal":"12:13","dayLengthHours":13.697478919578057,"dayLengthDisplay":"13 Hours 41 Mins 51 Secs","nightLengthDisplay":"10 Hours 18 Mins 09 Secs","moonriseLocal":"03:53","moonsetLocal":"16:49","rahuKala":{"name":"Rāhu Kāla","start":"17:21","end":"19:04","startHours":17.356699934941552,"endHours":19.06888479988881,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:13","end":"13:56","startHours":12.22014534009978,"endHours":13.932330205047037,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:39","end":"17:21","startHours":15.644515069994295,"endHours":17.356699934941552,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:34","end":"09:01","startHours":8.567484294878966,"endHours":9.024066925531567,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:57","end":"06:18","startHours":5.942134168626505,"endHours":6.307400273148587,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:41","startHours":11.76356270944718,"endHours":12.676727970752383,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:33","end":"04:27","startHours":3.5450753577003447,"endHours":4.458240619005549,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:14","end":"05:22","startHours":4.2299493036792475,"endHours":5.3714058803107525,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:30","end":"15:25","startHours":14.50305849336279,"endHours":15.416223754667994,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:52","end":"19:16","startHours":18.86888479988881,"endHours":19.26888479988881,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:04","end":"19:38","startHours":19.06888479988881,"endHours":19.639613088204563,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:49","end":"20:34","startHours":18.81888479988881,"endHours":20.56888479988881,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:41","startHours":23.763562709447182,"endHours":24.676727970752385,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:22","end":"07:05","startHours":5.3714058803107525,"endHours":7.083590745258009,"quality":"inauspicious"},{"name":"Chala","start":"07:05","end":"08:48","startHours":7.083590745258009,"endHours":8.795775610205267,"quality":"neutral"},{"name":"Labha","start":"08:48","end":"10:30","startHours":8.795775610205267,"endHours":10.507960475152522,"quality":"auspicious"},{"name":"Amṛta","start":"10:30","end":"12:13","startHours":10.507960475152522,"endHours":12.22014534009978,"quality":"auspicious"},{"name":"Kāla","start":"12:13","end":"13:56","startHours":12.22014534009978,"endHours":13.932330205047037,"quality":"inauspicious"},{"name":"Śubha","start":"13:56","end":"15:39","startHours":13.932330205047037,"endHours":15.644515069994295,"quality":"auspicious"},{"name":"Roga","start":"15:39","end":"17:21","startHours":15.644515069994295,"endHours":17.356699934941552,"quality":"inauspicious"},{"name":"Udveg","start":"17:21","end":"19:04","startHours":17.356699934941552,"endHours":19.06888479988881,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"19:04","end":"20:21","startHours":19.06888479988881,"endHours":20.356699934941552,"quality":"auspicious"},{"name":"Roga","start":"20:21","end":"21:39","startHours":20.356699934941552,"endHours":21.644515069994295,"quality":"inauspicious"},{"name":"Udveg","start":"21:39","end":"22:56","startHours":21.644515069994295,"endHours":22.932330205047037,"quality":"inauspicious"},{"name":"Chala","start":"22:56","end":"00:13","startHours":22.932330205047037,"endHours":24.220145340099783,"quality":"neutral"},{"name":"Labha","start":"00:13","end":"01:30","startHours":24.220145340099783,"endHours":25.507960475152522,"quality":"auspicious"},{"name":"Amṛta","start":"01:30","end":"02:48","startHours":25.507960475152522,"endHours":26.79577561020527,"quality":"auspicious"},{"name":"Kāla","start":"02:48","end":"04:05","startHours":26.79577561020527,"endHours":28.08359074525801,"quality":"inauspicious"},{"name":"Śubha","start":"04:05","end":"05:22","startHours":28.08359074525801,"endHours":29.371405880310753,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:22","end":"06:22","startHours":5.3714058803107525,"endHours":6.3714058803107525,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:22","end":"07:22","startHours":6.3714058803107525,"endHours":7.3714058803107525,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:22","end":"08:22","startHours":7.3714058803107525,"endHours":8.371405880310753,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:22","end":"09:22","startHours":8.371405880310753,"endHours":9.371405880310753,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:22","end":"10:22","startHours":9.371405880310753,"endHours":10.371405880310753,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:22","end":"11:22","startHours":10.371405880310753,"endHours":11.371405880310753,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:22","end":"12:22","startHours":11.371405880310753,"endHours":12.371405880310753,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:22","end":"13:22","startHours":12.371405880310753,"endHours":13.371405880310753,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:22","end":"14:22","startHours":13.371405880310753,"endHours":14.371405880310753,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:22","end":"15:22","startHours":14.371405880310753,"endHours":15.371405880310753,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:22","end":"16:22","startHours":15.371405880310753,"endHours":16.371405880310753,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:22","end":"17:22","startHours":16.371405880310753,"endHours":17.371405880310753,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:22","end":"18:22","startHours":17.371405880310753,"endHours":18.371405880310753,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:22","end":"19:22","startHours":18.371405880310753,"endHours":19.371405880310753,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:22","end":"20:22","startHours":19.371405880310753,"endHours":20.371405880310753,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:22","end":"21:22","startHours":20.371405880310753,"endHours":21.371405880310753,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:22","end":"22:22","startHours":21.371405880310753,"endHours":22.371405880310753,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:22","end":"23:22","startHours":22.371405880310753,"endHours":23.371405880310753,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:22","end":"00:22","startHours":23.371405880310753,"endHours":24.371405880310753,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:22","end":"01:22","startHours":24.371405880310753,"endHours":25.371405880310753,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:22","end":"02:22","startHours":25.371405880310753,"endHours":26.371405880310753,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:22","end":"03:22","startHours":26.371405880310753,"endHours":27.371405880310753,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:22","end":"04:22","startHours":27.371405880310753,"endHours":28.371405880310753,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:22","end":"05:22","startHours":28.371405880310753,"endHours":29.371405880310753,"planetary_lord":"Jupiter"}],"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":"West (Paścim)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":19.27200613873299,"eotMinutes":3.7208795940131294,"ayanamsa":26.1911}},"calendars":{"vikram_samvat":2224,"vikram_samvatsara":"Vikrama","saka_samvat":2089,"saka_samvatsara":"Prabhava","bengali_samvat":1574,"malayalam_era":1343,"nanakshahi_year":698,"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":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Trayodaśī · Vikram 2224 Vikrama · Śaka 2089 Prabhava"},"festivals":[{"id":"vrishabha-sankranti","name":"Vṛṣabha Saṅkrānti","name_sanskrit":"वृषभ सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Taurus.","vrata":false,"detection":{"sun_rashi_ingress":"Vṛṣabha"},"precedence":5},{"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":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 17, 2167 CE · Ṛṣikeśa · Vidhyamitra","description":"May 17, 2167 CE for Ṛṣikeśa: Kṛṣṇa Trayodaśī, sūryodaya 05:22, sūryāsta 19:04.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2167-05-17","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2167-05-17","sa":"https://sa.vidhyamitra.com/city/rishikesh/2167-05-17","hi":"https://hi.vidhyamitra.com/city/rishikesh/2167-05-17","x-default":"https://vidhyamitra.com/city/rishikesh/2167-05-17"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-30T22:43:01.513Z","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":"2026-05-30T22:43:01.513Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-30T22:43:01.513Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}