{"id":"vidhyamitra:city-day:rishikesh:2113-05-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2113-05-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2113-05-16","date_display":"May 16, 2113 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":2113,"month":5,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2492952.770833,"kali_year":5215,"ahargana":1904487.2708,"sun":{"sidereal_longitude":29.4583,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":39.193,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":9.7347,"elapsed_within_tithi_degrees":9.7347},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4,"moon_longitude":39.193,"elapsed_within_degrees":12.5263},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":68.6513},"karana":{"half_tithi_index":1,"name":"Bava"},"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":2113,"month":5,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2492952.770833,"ahargana":1904487.2708,"kali_year":5215,"ayanamsa_lahiri":25.4367,"grahas":{"sun":{"sidereal_longitude":29.737229000000013,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":39.02132899999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false,"latitude":-2.3766},"mars":{"sidereal_longitude":58.99002899999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":49.74712899999997,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":205.77302899999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":342.324629,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":330.146929,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":71.0994,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":251.0994,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":2113,"month":5,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2492952.770833,"kali_year":5215,"ahargana":1904487.2708,"sun":{"sidereal_longitude":29.4583,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":39.193,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":9.7347,"elapsed_within_tithi_degrees":9.7347},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4,"moon_longitude":39.193,"elapsed_within_degrees":12.5263},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":68.6513},"karana":{"half_tithi_index":1,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.377,"elongation":9.735},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.377,"opposition_distance":170.265}},"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":"19:04","solarNoonLocal":"12:13","dayLengthHours":13.678140832709678,"dayLengthDisplay":"13 Hours 40 Mins 41 Secs","nightLengthDisplay":"10 Hours 19 Mins 19 Secs","moonriseLocal":"05:56","moonsetLocal":"19:45","rahuKala":{"name":"Rāhu Kāla","start":"15:38","end":"17:21","startHours":15.639307625530963,"endHours":17.34907522961967,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:48","end":"10:31","startHours":8.800237209176125,"endHours":10.510004813264834,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:13","end":"13:56","startHours":12.219772417353543,"endHours":13.929540021442254,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:34","end":"09:02","startHours":8.57226819529763,"endHours":9.02820622305462,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:57","end":"06:19","startHours":5.950624535694941,"endHours":6.3153749579005325,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:41","startHours":11.763834389596553,"endHours":12.675710445110532,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:33","end":"04:28","startHours":3.5569498899707472,"endHours":4.468825945484726,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:14","end":"05:23","startHours":4.240856931606231,"endHours":5.3807020009987045,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:30","end":"15:25","startHours":14.49946255613849,"endHours":15.411338611652468,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:52","end":"19:16","startHours":18.858842833708383,"endHours":19.258842833708382,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:04","end":"19:38","startHours":19.058842833708383,"endHours":19.62876536840462,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:49","end":"20:34","startHours":18.808842833708383,"endHours":20.558842833708383,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:41","startHours":23.763834389596553,"endHours":24.675710445110532,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:23","end":"07:05","startHours":5.3807020009987045,"endHours":7.0904696050874145,"quality":"inauspicious"},{"name":"Udveg","start":"07:05","end":"08:48","startHours":7.0904696050874145,"endHours":8.800237209176125,"quality":"inauspicious"},{"name":"Chala","start":"08:48","end":"10:31","startHours":8.800237209176125,"endHours":10.510004813264834,"quality":"neutral"},{"name":"Labha","start":"10:31","end":"12:13","startHours":10.510004813264834,"endHours":12.219772417353543,"quality":"auspicious"},{"name":"Amṛta","start":"12:13","end":"13:56","startHours":12.219772417353543,"endHours":13.929540021442254,"quality":"auspicious"},{"name":"Kāla","start":"13:56","end":"15:38","startHours":13.929540021442254,"endHours":15.639307625530963,"quality":"inauspicious"},{"name":"Śubha","start":"15:38","end":"17:21","startHours":15.639307625530963,"endHours":17.34907522961967,"quality":"auspicious"},{"name":"Roga","start":"17:21","end":"19:04","startHours":17.34907522961967,"endHours":19.058842833708383,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:04","end":"20:21","startHours":19.058842833708383,"endHours":20.34907522961967,"quality":"inauspicious"},{"name":"Śubha","start":"20:21","end":"21:38","startHours":20.34907522961967,"endHours":21.639307625530964,"quality":"auspicious"},{"name":"Roga","start":"21:38","end":"22:56","startHours":21.639307625530964,"endHours":22.929540021442254,"quality":"inauspicious"},{"name":"Udveg","start":"22:56","end":"00:13","startHours":22.929540021442254,"endHours":24.219772417353543,"quality":"inauspicious"},{"name":"Chala","start":"00:13","end":"01:31","startHours":24.219772417353543,"endHours":25.510004813264835,"quality":"neutral"},{"name":"Labha","start":"01:31","end":"02:48","startHours":25.510004813264835,"endHours":26.800237209176125,"quality":"auspicious"},{"name":"Amṛta","start":"02:48","end":"04:05","startHours":26.800237209176125,"endHours":28.090469605087414,"quality":"auspicious"},{"name":"Kāla","start":"04:05","end":"05:23","startHours":28.090469605087414,"endHours":29.380702000998703,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:23","end":"06:23","startHours":5.3807020009987045,"endHours":6.3807020009987045,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:23","end":"07:23","startHours":6.3807020009987045,"endHours":7.3807020009987045,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:23","end":"08:23","startHours":7.3807020009987045,"endHours":8.380702000998705,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:23","end":"09:23","startHours":8.380702000998705,"endHours":9.380702000998705,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:23","end":"10:23","startHours":9.380702000998705,"endHours":10.380702000998705,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:23","end":"11:23","startHours":10.380702000998705,"endHours":11.380702000998705,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:23","end":"12:23","startHours":11.380702000998705,"endHours":12.380702000998705,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:23","end":"13:23","startHours":12.380702000998705,"endHours":13.380702000998705,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:23","end":"14:23","startHours":13.380702000998705,"endHours":14.380702000998705,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:23","end":"15:23","startHours":14.380702000998705,"endHours":15.380702000998705,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:23","end":"16:23","startHours":15.380702000998705,"endHours":16.380702000998703,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:23","end":"17:23","startHours":16.380702000998703,"endHours":17.380702000998703,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:23","end":"18:23","startHours":17.380702000998703,"endHours":18.380702000998703,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:23","end":"19:23","startHours":18.380702000998703,"endHours":19.380702000998703,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:23","end":"20:23","startHours":19.380702000998703,"endHours":20.380702000998703,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:23","end":"21:23","startHours":20.380702000998703,"endHours":21.380702000998703,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:23","end":"22:23","startHours":21.380702000998703,"endHours":22.380702000998703,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:23","end":"23:23","startHours":22.380702000998703,"endHours":23.380702000998703,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:23","end":"00:23","startHours":23.380702000998703,"endHours":24.380702000998703,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:23","end":"01:23","startHours":24.380702000998703,"endHours":25.380702000998703,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:23","end":"02:23","startHours":25.380702000998703,"endHours":26.380702000998703,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:23","end":"03:23","startHours":26.380702000998703,"endHours":27.380702000998703,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:23","end":"04:23","startHours":27.380702000998703,"endHours":28.380702000998703,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:23","end":"05:23","startHours":28.380702000998703,"endHours":29.380702000998703,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"North","anandadiYoga":{"name":"Chatra","quality":"Auspicious"},"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":19.056135878072613,"eotMinutes":3.743254958787478,"ayanamsa":25.4367}},"calendars":{"vikram_samvat":2170,"vikram_samvatsara":"Vyaya","saka_samvat":2035,"saka_samvatsara":"Śrīmukha","bengali_samvat":1520,"malayalam_era":1289,"nanakshahi_year":644,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Pratipada · Vikram 2170 Vyaya · Śaka 2035 Śrīmukha"},"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":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","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, 2113 CE · Ṛṣikeśa · Vidhyamitra","description":"May 16, 2113 CE for Ṛṣikeśa: Śukla Pratipada, sūryodaya 05:23, sūryāsta 19:04.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2113-05-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2113-05-16","sa":"https://sa.vidhyamitra.com/city/rishikesh/2113-05-16","hi":"https://hi.vidhyamitra.com/city/rishikesh/2113-05-16","x-default":"https://vidhyamitra.com/city/rishikesh/2113-05-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-22T02:28:47.554Z","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":"2026-05-22T02:28:47.554Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-22T02:28:47.554Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}