{"id":"vidhyamitra:city-day:rishikesh:2102-05-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2102-05-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2102-05-16","date_display":"May 16, 2102 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":2102,"month":5,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488934.770833,"kali_year":5204,"ahargana":1900469.2708,"sun":{"sidereal_longitude":29.3109,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":18.102,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":348.7911,"elapsed_within_tithi_degrees":0.7911},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2,"moon_longitude":18.102,"elapsed_within_degrees":4.7687},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":47.413},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"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":2102,"month":5,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2488934.770833,"ahargana":1900469.2708,"kali_year":5204,"ayanamsa_lahiri":25.283,"grahas":{"sun":{"sidereal_longitude":29.563045999999986,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":17.194645999999977,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false,"latitude":4.4884},"mars":{"sidereal_longitude":91.840846,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":8.265745999999979,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":236.59274600000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":352.844746,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":200.070646,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":283.9923,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":103.9923,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","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":2102,"month":5,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488934.770833,"kali_year":5204,"ahargana":1900469.2708,"sun":{"sidereal_longitude":29.3109,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":18.102,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":348.7911,"elapsed_within_tithi_degrees":0.7911},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2,"moon_longitude":18.102,"elapsed_within_degrees":4.7687},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":47.413},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.488,"elongation":11.209},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.488,"opposition_distance":168.791}},"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":13.671070925596517,"dayLengthDisplay":"13 Hours 40 Mins 16 Secs","nightLengthDisplay":"10 Hours 19 Mins 44 Secs","moonriseLocal":"04:44","moonsetLocal":"18:04","rahuKala":{"name":"Rāhu Kāla","start":"15:38","end":"17:21","startHours":15.63754014875267,"endHours":17.346424014452236,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:48","end":"10:31","startHours":8.802004685954412,"endHours":10.510888551653977,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:13","end":"13:56","startHours":12.219772417353543,"endHours":13.928656283053108,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:34","end":"09:02","startHours":8.574153503861137,"endHours":9.029855868047688,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:57","end":"06:19","startHours":5.9538649097884715,"endHours":6.318426801137712,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:41","startHours":11.764070053166993,"endHours":12.675474781540093,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:34","end":"04:28","startHours":3.561427497809081,"endHours":4.472832226182182,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:15","end":"05:23","startHours":4.244981044088907,"endHours":5.384236954555283,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:30","end":"15:25","startHours":14.498284238286296,"endHours":15.409688966659397,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:51","end":"19:15","startHours":18.855307880151802,"endHours":19.2553078801518,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:03","end":"19:37","startHours":19.0553078801518,"endHours":19.62493583538499,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:48","end":"20:33","startHours":18.8053078801518,"endHours":20.5553078801518,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:41","startHours":23.764070053166993,"endHours":24.675474781540093,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:23","end":"07:06","startHours":5.384236954555283,"endHours":7.093120820254848,"quality":"inauspicious"},{"name":"Udveg","start":"07:06","end":"08:48","startHours":7.093120820254848,"endHours":8.802004685954412,"quality":"inauspicious"},{"name":"Chala","start":"08:48","end":"10:31","startHours":8.802004685954412,"endHours":10.510888551653977,"quality":"neutral"},{"name":"Labha","start":"10:31","end":"12:13","startHours":10.510888551653977,"endHours":12.219772417353543,"quality":"auspicious"},{"name":"Amṛta","start":"12:13","end":"13:56","startHours":12.219772417353543,"endHours":13.928656283053108,"quality":"auspicious"},{"name":"Kāla","start":"13:56","end":"15:38","startHours":13.928656283053108,"endHours":15.63754014875267,"quality":"inauspicious"},{"name":"Śubha","start":"15:38","end":"17:21","startHours":15.63754014875267,"endHours":17.346424014452236,"quality":"auspicious"},{"name":"Roga","start":"17:21","end":"19:03","startHours":17.346424014452236,"endHours":19.0553078801518,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:03","end":"20:21","startHours":19.0553078801518,"endHours":20.346424014452236,"quality":"inauspicious"},{"name":"Śubha","start":"20:21","end":"21:38","startHours":20.346424014452236,"endHours":21.63754014875267,"quality":"auspicious"},{"name":"Roga","start":"21:38","end":"22:56","startHours":21.63754014875267,"endHours":22.928656283053108,"quality":"inauspicious"},{"name":"Udveg","start":"22:56","end":"00:13","startHours":22.928656283053108,"endHours":24.219772417353543,"quality":"inauspicious"},{"name":"Chala","start":"00:13","end":"01:31","startHours":24.219772417353543,"endHours":25.510888551653977,"quality":"neutral"},{"name":"Labha","start":"01:31","end":"02:48","startHours":25.510888551653977,"endHours":26.802004685954415,"quality":"auspicious"},{"name":"Amṛta","start":"02:48","end":"04:06","startHours":26.802004685954415,"endHours":28.09312082025485,"quality":"auspicious"},{"name":"Kāla","start":"04:06","end":"05:23","startHours":28.09312082025485,"endHours":29.384236954555284,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:23","end":"06:23","startHours":5.384236954555283,"endHours":6.384236954555283,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:23","end":"07:23","startHours":6.384236954555283,"endHours":7.384236954555283,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:23","end":"08:23","startHours":7.384236954555283,"endHours":8.384236954555284,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:23","end":"09:23","startHours":8.384236954555284,"endHours":9.384236954555284,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:23","end":"10:23","startHours":9.384236954555284,"endHours":10.384236954555284,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:23","end":"11:23","startHours":10.384236954555284,"endHours":11.384236954555284,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:23","end":"12:23","startHours":11.384236954555284,"endHours":12.384236954555284,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:23","end":"13:23","startHours":12.384236954555284,"endHours":13.384236954555284,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:23","end":"14:23","startHours":13.384236954555284,"endHours":14.384236954555284,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:23","end":"15:23","startHours":14.384236954555284,"endHours":15.384236954555284,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:23","end":"16:23","startHours":15.384236954555284,"endHours":16.384236954555284,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:23","end":"17:23","startHours":16.384236954555284,"endHours":17.384236954555284,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:23","end":"18:23","startHours":17.384236954555284,"endHours":18.384236954555284,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:23","end":"19:23","startHours":18.384236954555284,"endHours":19.384236954555284,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:23","end":"20:23","startHours":19.384236954555284,"endHours":20.384236954555284,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:23","end":"21:23","startHours":20.384236954555284,"endHours":21.384236954555284,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:23","end":"22:23","startHours":21.384236954555284,"endHours":22.384236954555284,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:23","end":"23:23","startHours":22.384236954555284,"endHours":23.384236954555284,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:23","end":"00:23","startHours":23.384236954555284,"endHours":24.384236954555284,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:23","end":"01:23","startHours":24.384236954555284,"endHours":25.384236954555284,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:23","end":"02:23","startHours":25.384236954555284,"endHours":26.384236954555284,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:23","end":"03:23","startHours":26.384236954555284,"endHours":27.384236954555284,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:23","end":"04:23","startHours":27.384236954555284,"endHours":28.384236954555284,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:23","end":"05:23","startHours":28.384236954555284,"endHours":29.384236954555284,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","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":"North (Uttara)","chandraVasa":"East","rahuVasa":"North","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"drikRitu":"Vasanta (Spring) (Drik)","vedicRitu":"Vasanta (Spring)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":18.97703782563183,"eotMinutes":3.743254958787478,"ayanamsa":25.283}},"calendars":{"vikram_samvat":2159,"vikram_samvatsara":"Yuva","saka_samvat":2024,"saka_samvatsara":"Dundubhi","bengali_samvat":1509,"malayalam_era":1278,"nanakshahi_year":633,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Kṛṣṇa Pakṣa","solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Kṛṣṇa Amāvasyā · Vikram 2159 Yuva · Śaka 2024 Dundubhi"},"festivals":[{"id":"mesha-sankranti","name":"Meṣa Saṅkrānti (Vaiśākhī / Vishu / Pohelā Boishākh / Bihu)","name_sanskrit":"मेष सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Aries; solar new year. Regional: Vaiśākhī (Punjab) · Vishu (Kerala) · Pohelā Boishākh (Bengal) · Bihu (Assam) · Tamil Puthāṇḍu.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":1},{"id":"baisakhi","name":"Baisakhi (Vaiśākhī)","name_sanskrit":"वैशाखी","tradition":"Regional","associated_deity":"Sūrya + Khalsa Pantha (Sikh)","significance":"Punjab New Year + Sikh Khalsa founding day.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":2}],"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":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Kṛṣṇa Amāvasyā","url":"/day/-3137-10-20","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 16, 2102 CE · Ṛṣikeśa · Vidhyamitra","description":"May 16, 2102 CE for Ṛṣikeśa: Kṛṣṇa Amāvasyā, sūryodaya 05:23, sūryāsta 19:03.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2102-05-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2102-05-16","sa":"https://sa.vidhyamitra.com/city/rishikesh/2102-05-16","hi":"https://hi.vidhyamitra.com/city/rishikesh/2102-05-16","x-default":"https://vidhyamitra.com/city/rishikesh/2102-05-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-21T04:32:38.932Z","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":"2026-05-21T04:32:38.932Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-21T04:32:38.932Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}