{"id":"vidhyamitra:city-day:rishikesh:2112-04-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2112-04-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2112-04-16","date_display":"April 16, 2112 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":2112,"month":4,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2492557.770833,"kali_year":5213,"ahargana":1904092.2708,"sun":{"sidereal_longitude":0.6993,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":226.0051,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":225.3058,"elapsed_within_tithi_degrees":9.3058},"nakshatra":{"number":17,"name":"Anurādhā","pada":4,"moon_longitude":226.0051,"elapsed_within_degrees":12.6718},"yoga":{"number":18,"name":"Varīyān","sum_longitude":226.7044},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2112,"month":4,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2492557.770833,"ahargana":1904092.2708,"kali_year":5213,"ayanamsa_lahiri":25.4216,"grahas":{"sun":{"sidereal_longitude":0.8295209999999997,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":224.77632100000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false,"latitude":3.2367},"mars":{"sidereal_longitude":249.133921,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":338.908821,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":175.333621,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":352.639321,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":316.2053209999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":92.0284,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":272.0284,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","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":2112,"month":4,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2492557.770833,"kali_year":5213,"ahargana":1904092.2708,"sun":{"sidereal_longitude":0.6993,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":226.0051,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":225.3058,"elapsed_within_tithi_degrees":9.3058},"nakshatra":{"number":17,"name":"Anurādhā","pada":4,"moon_longitude":226.0051,"elapsed_within_degrees":12.6718},"yoga":{"number":18,"name":"Varīyān","sum_longitude":226.7044},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.237,"elongation":134.694},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.237,"opposition_distance":45.306}},"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":"05:49","sunsetLocal":"18:45","solarNoonLocal":"12:17","dayLengthHours":12.923610625078881,"dayLengthDisplay":"12 Hours 55 Mins 25 Secs","nightLengthDisplay":"11 Hours 04 Mins 35 Secs","moonriseLocal":"22:04","moonsetLocal":"08:22","rahuKala":{"name":"Rāhu Kāla","start":"09:03","end":"10:40","startHours":9.051002491786972,"endHours":10.666453819921834,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:54","end":"15:31","startHours":13.897356476191554,"endHours":15.512807804326414,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:49","end":"07:26","startHours":5.820099835517253,"endHours":7.4355511636521125,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:50","end":"09:16","startHours":8.835608981368992,"endHours":9.266396002204955,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:22","end":"06:42","startHours":6.358583611562206,"endHours":6.703213228230976,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:51","end":"12:43","startHours":11.85111812722073,"endHours":12.712692168892655,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:06","end":"04:58","startHours":4.096951752173402,"endHours":4.958525793845327,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:45","end":"05:49","startHours":4.743132283427346,"endHours":5.820099835517253,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:26","end":"15:18","startHours":14.435840252236506,"endHours":15.297414293908432,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:33","end":"18:57","startHours":18.543710460596134,"endHours":18.943710460596133,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:45","end":"19:17","startHours":18.743710460596134,"endHours":19.282194236641086,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:30","end":"20:15","startHours":18.493710460596134,"endHours":20.243710460596134,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:51","end":"00:43","startHours":23.851118127220733,"endHours":24.712692168892655,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:49","end":"07:26","startHours":5.820099835517253,"endHours":7.4355511636521125,"quality":"inauspicious"},{"name":"Śubha","start":"07:26","end":"09:03","startHours":7.4355511636521125,"endHours":9.051002491786972,"quality":"auspicious"},{"name":"Roga","start":"09:03","end":"10:40","startHours":9.051002491786972,"endHours":10.666453819921834,"quality":"inauspicious"},{"name":"Udveg","start":"10:40","end":"12:17","startHours":10.666453819921834,"endHours":12.281905148056694,"quality":"inauspicious"},{"name":"Chala","start":"12:17","end":"13:54","startHours":12.281905148056694,"endHours":13.897356476191554,"quality":"neutral"},{"name":"Labha","start":"13:54","end":"15:31","startHours":13.897356476191554,"endHours":15.512807804326414,"quality":"auspicious"},{"name":"Amṛta","start":"15:31","end":"17:08","startHours":15.512807804326414,"endHours":17.128259132461274,"quality":"auspicious"},{"name":"Kāla","start":"17:08","end":"18:45","startHours":17.128259132461274,"endHours":18.743710460596134,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:45","end":"20:08","startHours":18.743710460596134,"endHours":20.128259132461274,"quality":"auspicious"},{"name":"Amṛta","start":"20:08","end":"21:31","startHours":20.128259132461274,"endHours":21.512807804326414,"quality":"auspicious"},{"name":"Kāla","start":"21:31","end":"22:54","startHours":21.512807804326414,"endHours":22.897356476191554,"quality":"inauspicious"},{"name":"Śubha","start":"22:54","end":"00:17","startHours":22.897356476191554,"endHours":24.281905148056694,"quality":"auspicious"},{"name":"Roga","start":"00:17","end":"01:40","startHours":24.281905148056694,"endHours":25.666453819921834,"quality":"inauspicious"},{"name":"Udveg","start":"01:40","end":"03:03","startHours":25.666453819921834,"endHours":27.051002491786974,"quality":"inauspicious"},{"name":"Chala","start":"03:03","end":"04:26","startHours":27.051002491786974,"endHours":28.435551163652114,"quality":"neutral"},{"name":"Labha","start":"04:26","end":"05:49","startHours":28.435551163652114,"endHours":29.820099835517254,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:49","end":"06:49","startHours":5.820099835517253,"endHours":6.820099835517253,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:49","end":"07:49","startHours":6.820099835517253,"endHours":7.820099835517253,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:49","end":"08:49","startHours":7.820099835517253,"endHours":8.820099835517253,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:49","end":"09:49","startHours":8.820099835517253,"endHours":9.820099835517253,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:49","end":"10:49","startHours":9.820099835517253,"endHours":10.820099835517253,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:49","end":"11:49","startHours":10.820099835517253,"endHours":11.820099835517253,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:49","end":"12:49","startHours":11.820099835517253,"endHours":12.820099835517253,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:49","end":"13:49","startHours":12.820099835517253,"endHours":13.820099835517253,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:49","end":"14:49","startHours":13.820099835517253,"endHours":14.820099835517253,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:49","end":"15:49","startHours":14.820099835517253,"endHours":15.820099835517253,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:49","end":"16:49","startHours":15.820099835517253,"endHours":16.820099835517254,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:49","end":"17:49","startHours":16.820099835517254,"endHours":17.820099835517254,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:49","end":"18:49","startHours":17.820099835517254,"endHours":18.820099835517254,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:49","end":"19:49","startHours":18.820099835517254,"endHours":19.820099835517254,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:49","end":"20:49","startHours":19.820099835517254,"endHours":20.820099835517254,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:49","end":"21:49","startHours":20.820099835517254,"endHours":21.820099835517254,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:49","end":"22:49","startHours":21.820099835517254,"endHours":22.820099835517254,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:49","end":"23:49","startHours":22.820099835517254,"endHours":23.820099835517254,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:49","end":"00:49","startHours":23.820099835517254,"endHours":24.820099835517254,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:49","end":"01:49","startHours":24.820099835517254,"endHours":25.820099835517254,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:49","end":"02:49","startHours":25.820099835517254,"endHours":26.820099835517254,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:49","end":"03:49","startHours":26.820099835517254,"endHours":27.820099835517254,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:49","end":"04:49","startHours":27.820099835517254,"endHours":28.820099835517254,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:49","end":"05:49","startHours":28.820099835517254,"endHours":29.820099835517254,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara 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":"East (Pūrva)","chandraVasa":"North-East","rahuVasa":"East","anandadiYoga":{"name":"Mānasa","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":10.1321745780791,"eotMinutes":0.015291116598477705,"ayanamsa":25.4216}},"calendars":{"vikram_samvat":2169,"vikram_samvatsara":"Pārthiva","saka_samvat":2034,"saka_samvatsara":"Aṅgirasa","bengali_samvat":1519,"malayalam_era":1288,"nanakshahi_year":643,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","lunar_month_amanta":"Caitra","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Kṛṣṇa Caturthī · Vikram 2169 Pārthiva · Śaka 2034 Aṅgirasa"},"festivals":[{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 April 16, 2112 CE · Ṛṣikeśa · Vidhyamitra","description":"April 16, 2112 CE for Ṛṣikeśa: Kṛṣṇa Caturthī, sūryodaya 05:49, sūryāsta 18:45.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2112-04-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2112-04-16","sa":"https://sa.vidhyamitra.com/city/rishikesh/2112-04-16","hi":"https://hi.vidhyamitra.com/city/rishikesh/2112-04-16","x-default":"https://vidhyamitra.com/city/rishikesh/2112-04-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T00:14:18.388Z","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":"2026-06-02T00:14:18.388Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T00:14:18.388Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}