{"id":"vidhyamitra:city-day:rishikesh:2128-04-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2128-04-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2128-04-13","date_display":"April 13, 2128 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":2128,"month":4,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2498398.770833,"kali_year":5229,"ahargana":1909933.2708,"sun":{"sidereal_longitude":357.6311,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":146.9307,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":149.2996,"elapsed_within_tithi_degrees":5.2996},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1,"moon_longitude":146.9307,"elapsed_within_degrees":0.264},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":144.5618},"karana":{"half_tithi_index":24,"name":"Kaulava"},"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":2128,"month":4,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2498398.770833,"ahargana":1909933.2708,"kali_year":5229,"ayanamsa_lahiri":25.645,"grahas":{"sun":{"sidereal_longitude":357.788352,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":147.27345200000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false,"latitude":0.3438},"mars":{"sidereal_longitude":31.198552000000007,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":15.088752,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":306.72855200000004,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":349.814652,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":157.56465200000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":142.5441,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":322.5441,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","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":2128,"month":4,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2498398.770833,"kali_year":5229,"ahargana":1909933.2708,"sun":{"sidereal_longitude":357.6311,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":146.9307,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":149.2996,"elapsed_within_tithi_degrees":5.2996},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1,"moon_longitude":146.9307,"elapsed_within_degrees":0.264},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":144.5618},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.344,"elongation":149.3},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.344,"opposition_distance":30.7}},"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":"05:52","sunsetLocal":"18:43","solarNoonLocal":"12:18","dayLengthHours":12.840694035396803,"dayLengthDisplay":"12 Hours 50 Mins 26 Secs","nightLengthDisplay":"11 Hours 09 Mins 34 Secs","moonriseLocal":"16:06","moonsetLocal":"04:25","rahuKala":{"name":"Rāhu Kāla","start":"15:30","end":"17:07","startHours":15.505163689344274,"endHours":17.110250443768873,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:05","end":"10:41","startHours":9.084816671645871,"endHours":10.689903426070472,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:18","end":"13:54","startHours":12.294990180495073,"endHours":13.900076934919673,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:52","end":"09:18","startHours":8.870805104389259,"endHours":9.298828238902486,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:25","end":"06:45","startHours":6.409672080938204,"endHours":6.752090588548786,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:52","end":"12:43","startHours":11.866967045981847,"endHours":12.7230133150083,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:10","end":"05:01","startHours":4.162550624743764,"endHours":5.0185968937702174,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:48","end":"05:52","startHours":4.804585326513604,"endHours":5.874643162796671,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:26","end":"15:17","startHours":14.435105853061206,"endHours":15.29115212208766,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:31","end":"18:55","startHours":18.515337198193475,"endHours":18.915337198193473,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:43","end":"19:15","startHours":18.715337198193474,"endHours":19.25036611633501,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:28","end":"20:13","startHours":18.465337198193474,"endHours":20.215337198193474,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:52","end":"00:43","startHours":23.86696704598185,"endHours":24.7230133150083,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:52","end":"07:29","startHours":5.874643162796671,"endHours":7.479729917221271,"quality":"inauspicious"},{"name":"Udveg","start":"07:29","end":"09:05","startHours":7.479729917221271,"endHours":9.084816671645871,"quality":"inauspicious"},{"name":"Chala","start":"09:05","end":"10:41","startHours":9.084816671645871,"endHours":10.689903426070472,"quality":"neutral"},{"name":"Labha","start":"10:41","end":"12:18","startHours":10.689903426070472,"endHours":12.294990180495073,"quality":"auspicious"},{"name":"Amṛta","start":"12:18","end":"13:54","startHours":12.294990180495073,"endHours":13.900076934919673,"quality":"auspicious"},{"name":"Kāla","start":"13:54","end":"15:30","startHours":13.900076934919673,"endHours":15.505163689344274,"quality":"inauspicious"},{"name":"Śubha","start":"15:30","end":"17:07","startHours":15.505163689344274,"endHours":17.110250443768873,"quality":"auspicious"},{"name":"Roga","start":"17:07","end":"18:43","startHours":17.110250443768873,"endHours":18.715337198193474,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:43","end":"20:07","startHours":18.715337198193474,"endHours":20.110250443768873,"quality":"inauspicious"},{"name":"Śubha","start":"20:07","end":"21:30","startHours":20.110250443768873,"endHours":21.505163689344272,"quality":"auspicious"},{"name":"Roga","start":"21:30","end":"22:54","startHours":21.505163689344272,"endHours":22.900076934919674,"quality":"inauspicious"},{"name":"Udveg","start":"22:54","end":"00:18","startHours":22.900076934919674,"endHours":24.294990180495073,"quality":"inauspicious"},{"name":"Chala","start":"00:18","end":"01:41","startHours":24.294990180495073,"endHours":25.689903426070472,"quality":"neutral"},{"name":"Labha","start":"01:41","end":"03:05","startHours":25.689903426070472,"endHours":27.08481667164587,"quality":"auspicious"},{"name":"Amṛta","start":"03:05","end":"04:29","startHours":27.08481667164587,"endHours":28.47972991722127,"quality":"auspicious"},{"name":"Kāla","start":"04:29","end":"05:52","startHours":28.47972991722127,"endHours":29.874643162796673,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:52","end":"06:52","startHours":5.874643162796671,"endHours":6.874643162796671,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:52","end":"07:52","startHours":6.874643162796671,"endHours":7.874643162796671,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:52","end":"08:52","startHours":7.874643162796671,"endHours":8.874643162796671,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:52","end":"09:52","startHours":8.874643162796671,"endHours":9.874643162796671,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:52","end":"10:52","startHours":9.874643162796671,"endHours":10.874643162796671,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:52","end":"11:52","startHours":10.874643162796671,"endHours":11.874643162796671,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:52","end":"12:52","startHours":11.874643162796671,"endHours":12.874643162796671,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:52","end":"13:52","startHours":12.874643162796671,"endHours":13.874643162796671,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:52","end":"14:52","startHours":13.874643162796671,"endHours":14.874643162796671,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:52","end":"15:52","startHours":14.874643162796671,"endHours":15.874643162796671,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:52","end":"16:52","startHours":15.874643162796671,"endHours":16.874643162796673,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:52","end":"17:52","startHours":16.874643162796673,"endHours":17.874643162796673,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:52","end":"18:52","startHours":17.874643162796673,"endHours":18.874643162796673,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:52","end":"19:52","startHours":18.874643162796673,"endHours":19.874643162796673,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:52","end":"20:52","startHours":19.874643162796673,"endHours":20.874643162796673,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:52","end":"21:52","startHours":20.874643162796673,"endHours":21.874643162796673,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:52","end":"22:52","startHours":21.874643162796673,"endHours":22.874643162796673,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:52","end":"23:52","startHours":22.874643162796673,"endHours":23.874643162796673,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:52","end":"00:52","startHours":23.874643162796673,"endHours":24.874643162796673,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:52","end":"01:52","startHours":24.874643162796673,"endHours":25.874643162796673,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:52","end":"02:52","startHours":25.874643162796673,"endHours":26.874643162796673,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:52","end":"03:52","startHours":26.874643162796673,"endHours":27.874643162796673,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:52","end":"04:52","startHours":27.874643162796673,"endHours":28.874643162796673,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:52","end":"05:52","startHours":28.874643162796673,"endHours":29.874643162796673,"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","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"West","rahuVasa":"North","anandadiYoga":{"name":"Śubha","quality":"Auspicious"},"drikRitu":"Vasanta (Spring) (Drik)","vedicRitu":"Śiśira (Winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":9.100753956050164,"eotMinutes":-0.7698108297043191,"ayanamsa":25.645}},"calendars":{"vikram_samvat":2185,"vikram_samvatsara":"Plava","saka_samvat":2050,"saka_samvatsara":"Sarvadhāri","bengali_samvat":1535,"malayalam_era":1304,"nanakshahi_year":659,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Śukla Pakṣa","solar_month":"Mīna (Paṅkuṇi)","ritu":"Vasanta (Spring)","display_summary":"Caitra Śukla Trayodaśī · Vikram 2185 Plava · Śaka 2050 Sarvadhāri"},"festivals":[{"id":"mina-sankranti","name":"Mīna Saṅkrānti","name_sanskrit":"मीन सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Pisces; Mīna-māsa begins.","vrata":false,"detection":{"sun_rashi":"Mīna"},"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":"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":[]},"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 13, 2128 CE · Ṛṣikeśa · Vidhyamitra","description":"April 13, 2128 CE for Ṛṣikeśa: Śukla Trayodaśī, sūryodaya 05:52, sūryāsta 18:43.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2128-04-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2128-04-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/2128-04-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/2128-04-13","x-default":"https://vidhyamitra.com/city/rishikesh/2128-04-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-24T10:58:53.822Z","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":"2026-05-24T10:58:53.822Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-24T10:58:53.822Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}