{"id":"vidhyamitra:city-day:rishikesh:2109-05-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2109-05-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2109-05-13","date_display":"May 13, 2109 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":2109,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2491488.770833,"kali_year":5211,"ahargana":1903023.2708,"sun":{"sidereal_longitude":26.6132,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":184.177,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":157.5638,"elapsed_within_tithi_degrees":1.5638},"nakshatra":{"number":14,"name":"Citrā","pada":4,"moon_longitude":184.177,"elapsed_within_degrees":10.8437},"yoga":{"number":16,"name":"Siddhi","sum_longitude":210.7903},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2109,"month":5,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2491488.770833,"ahargana":1903023.2708,"kali_year":5211,"ayanamsa_lahiri":25.3807,"grahas":{"sun":{"sidereal_longitude":26.864964999999984,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":182.93176500000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false,"latitude":2.6119},"mars":{"sidereal_longitude":29.440864999999974,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":1.347865000000013,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":83.83876499999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"venus":{"sidereal_longitude":44.091864999999984,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":284.2222650000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":148.6691,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":328.6691,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"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":2109,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2491488.770833,"kali_year":5211,"ahargana":1903023.2708,"sun":{"sidereal_longitude":26.6132,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":184.177,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":157.5638,"elapsed_within_tithi_degrees":1.5638},"nakshatra":{"number":14,"name":"Citrā","pada":4,"moon_longitude":184.177,"elapsed_within_degrees":10.8437},"yoga":{"number":16,"name":"Siddhi","sum_longitude":210.7903},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.612,"elongation":157.564},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.612,"opposition_distance":22.436}},"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":"05:25","sunsetLocal":"19:02","solarNoonLocal":"12:13","dayLengthHours":13.613416040633604,"dayLengthDisplay":"13 Hours 36 Mins 48 Secs","nightLengthDisplay":"10 Hours 23 Mins 12 Secs","moonriseLocal":"17:00","moonsetLocal":"04:15","rahuKala":{"name":"Rāhu Kāla","start":"07:07","end":"08:49","startHours":7.1145716723697925,"endHours":8.816248677448993,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:31","end":"12:13","startHours":10.517925682528194,"endHours":12.219602687607395,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:55","end":"15:37","startHours":13.921279692686594,"endHours":15.622956697765796,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:35","end":"09:03","startHours":8.589358410105099,"endHours":9.043138944792886,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:59","end":"06:21","startHours":5.980120335650326,"endHours":6.343144763400555,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:40","startHours":11.765822152919606,"endHours":12.67338322229518,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:36","end":"04:30","startHours":3.597772528539445,"endHours":4.505333597915019,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:17","end":"05:25","startHours":4.278443330571125,"endHours":5.412894667290592,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:29","end":"15:24","startHours":14.488505361046327,"endHours":15.3960664304219,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:50","end":"19:14","startHours":18.826310707924197,"endHours":19.226310707924195,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:02","end":"19:36","startHours":19.026310707924196,"endHours":19.59353637628393,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:47","end":"20:32","startHours":18.776310707924196,"endHours":20.526310707924196,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:40","startHours":23.765822152919604,"endHours":24.67338322229518,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:25","end":"07:07","startHours":5.412894667290592,"endHours":7.1145716723697925,"quality":"auspicious"},{"name":"Kāla","start":"07:07","end":"08:49","startHours":7.1145716723697925,"endHours":8.816248677448993,"quality":"inauspicious"},{"name":"Śubha","start":"08:49","end":"10:31","startHours":8.816248677448993,"endHours":10.517925682528194,"quality":"auspicious"},{"name":"Roga","start":"10:31","end":"12:13","startHours":10.517925682528194,"endHours":12.219602687607395,"quality":"inauspicious"},{"name":"Udveg","start":"12:13","end":"13:55","startHours":12.219602687607395,"endHours":13.921279692686594,"quality":"inauspicious"},{"name":"Chala","start":"13:55","end":"15:37","startHours":13.921279692686594,"endHours":15.622956697765796,"quality":"neutral"},{"name":"Labha","start":"15:37","end":"17:19","startHours":15.622956697765796,"endHours":17.324633702844995,"quality":"auspicious"},{"name":"Amṛta","start":"17:19","end":"19:02","startHours":17.324633702844995,"endHours":19.026310707924196,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:02","end":"20:19","startHours":19.026310707924196,"endHours":20.324633702844995,"quality":"neutral"},{"name":"Labha","start":"20:19","end":"21:37","startHours":20.324633702844995,"endHours":21.622956697765794,"quality":"auspicious"},{"name":"Amṛta","start":"21:37","end":"22:55","startHours":21.622956697765794,"endHours":22.921279692686596,"quality":"auspicious"},{"name":"Kāla","start":"22:55","end":"00:13","startHours":22.921279692686596,"endHours":24.219602687607395,"quality":"inauspicious"},{"name":"Śubha","start":"00:13","end":"01:31","startHours":24.219602687607395,"endHours":25.517925682528194,"quality":"auspicious"},{"name":"Roga","start":"01:31","end":"02:49","startHours":25.517925682528194,"endHours":26.816248677448993,"quality":"inauspicious"},{"name":"Udveg","start":"02:49","end":"04:07","startHours":26.816248677448993,"endHours":28.11457167236979,"quality":"inauspicious"},{"name":"Chala","start":"04:07","end":"05:25","startHours":28.11457167236979,"endHours":29.412894667290594,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:25","end":"06:25","startHours":5.412894667290592,"endHours":6.412894667290592,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:25","end":"07:25","startHours":6.412894667290592,"endHours":7.412894667290592,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:25","end":"08:25","startHours":7.412894667290592,"endHours":8.412894667290592,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:25","end":"09:25","startHours":8.412894667290592,"endHours":9.412894667290592,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:25","end":"10:25","startHours":9.412894667290592,"endHours":10.412894667290592,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:25","end":"11:25","startHours":10.412894667290592,"endHours":11.412894667290592,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:25","end":"12:25","startHours":11.412894667290592,"endHours":12.412894667290592,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:25","end":"13:25","startHours":12.412894667290592,"endHours":13.412894667290592,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:25","end":"14:25","startHours":13.412894667290592,"endHours":14.412894667290592,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:25","end":"15:25","startHours":14.412894667290592,"endHours":15.412894667290592,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:25","end":"16:25","startHours":15.412894667290592,"endHours":16.412894667290594,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:25","end":"17:25","startHours":16.412894667290594,"endHours":17.412894667290594,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:25","end":"18:25","startHours":17.412894667290594,"endHours":18.412894667290594,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:25","end":"19:25","startHours":18.412894667290594,"endHours":19.412894667290594,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:25","end":"20:25","startHours":19.412894667290594,"endHours":20.412894667290594,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:25","end":"21:25","startHours":20.412894667290594,"endHours":21.412894667290594,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:25","end":"22:25","startHours":21.412894667290594,"endHours":22.412894667290594,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:25","end":"23:25","startHours":22.412894667290594,"endHours":23.412894667290594,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:25","end":"00:25","startHours":23.412894667290594,"endHours":24.412894667290594,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:25","end":"01:25","startHours":24.412894667290594,"endHours":25.412894667290594,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:25","end":"02:25","startHours":25.412894667290594,"endHours":26.412894667290594,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:25","end":"03:25","startHours":26.412894667290594,"endHours":27.412894667290594,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:25","end":"04:25","startHours":27.412894667290594,"endHours":28.412894667290594,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:25","end":"05:25","startHours":28.412894667290594,"endHours":29.412894667290594,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"North","rahuVasa":"North-East","anandadiYoga":{"name":"Kāṇa","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":18.328488347800914,"eotMinutes":3.7534387435564067,"ayanamsa":25.3807}},"calendars":{"vikram_samvat":2166,"vikram_samvatsara":"Citrabhānu","saka_samvat":2031,"saka_samvatsara":"Śukla","bengali_samvat":1516,"malayalam_era":1285,"nanakshahi_year":640,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Caturdaśī · Vikram 2166 Citrabhānu · Śaka 2031 Śukla"},"festivals":[{"id":"narasimha-jayanti","name":"Narasiṁha Jayantī","name_sanskrit":"नरसिंह जयन्ती","tradition":"Vaishnava","associated_deity":"Narasiṁha (avatar of Krishna)","deity_avatara_index":14,"significance":"Bhagavān Narasiṁha manifested to protect the bhakta Prahlāda. Krishna's fierce protective form.","vrata":true,"primary_observance":"Sandhyā (twilight) abhiṣekam; recitation of Narasiṁha-Stotra","detection":{"tithi_number":14,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":1,"related_chart":"narasimha","sources":["Bhāgavata Purāṇa 7.8"]},{"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},{"id":"chhinnamasta-jayanti","name":"Chhinnamastā Jayantī","name_sanskrit":"छिन्नमस्ता जयन्ती","tradition":"Shakta","associated_deity":"Devī Chhinnamastā (6th of 10 Mahāvidyās)","significance":"The 6th of the Daśa Mahāvidyās. Devī's self-decapitation form representing transcendence of ego.","vrata":false,"detection":{"tithi_number":14,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":5}],"todays_walk":{"walk":{"id":"narasimha-jayanti-walk","name":"Narasiṁha Jayantī Walk","name_sanskrit":"नरसिंह जयन्ती यात्रा","type":"festival","description":"Bhāgavata 7.8 (Prahlāda-Narasiṁha) + protective verses.","step_count":9,"url":"/walk/narasimha-jayanti-walk"},"reason":"Today is Narasiṁha Jayantī — its dedicated 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 May 13, 2109 CE · Ṛṣikeśa · Vidhyamitra","description":"May 13, 2109 CE for Ṛṣikeśa: Śukla Caturdaśī, sūryodaya 05:25, sūryāsta 19:02.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2109-05-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2109-05-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/2109-05-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/2109-05-13","x-default":"https://vidhyamitra.com/city/rishikesh/2109-05-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-21T22:50:54.246Z","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":"2026-05-21T22:50:54.246Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-21T22:50:54.246Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}