{"id":"vidhyamitra:city-day:rishikesh:2122-09-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2122-09-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2122-09-13","date_display":"September 13, 2122 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":2122,"month":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2496359.770833,"kali_year":5224,"ahargana":1907894.2708,"sun":{"sidereal_longitude":143.4848,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":280.4559,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":136.9711,"elapsed_within_tithi_degrees":4.9711},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1,"moon_longitude":280.4559,"elapsed_within_degrees":0.4559},"yoga":{"number":5,"name":"Śobhana","sum_longitude":63.9408},"karana":{"half_tithi_index":22,"name":"Bava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2122,"month":9,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2496359.770833,"ahargana":1907894.2708,"kali_year":5224,"ayanamsa_lahiri":25.567,"grahas":{"sun":{"sidereal_longitude":144.50025700000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":280.2466569999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false,"latitude":2.2398},"mars":{"sidereal_longitude":93.415457,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":126.39595700000001,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":136.83885700000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":162.242257,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":true},"saturn":{"sidereal_longitude":92.39205700000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":250.5801,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":70.5801,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","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":2122,"month":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2496359.770833,"kali_year":5224,"ahargana":1907894.2708,"sun":{"sidereal_longitude":143.4848,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":280.4559,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":136.9711,"elapsed_within_tithi_degrees":4.9711},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1,"moon_longitude":280.4559,"elapsed_within_degrees":0.4559},"yoga":{"number":5,"name":"Śobhana","sum_longitude":63.9408},"karana":{"half_tithi_index":22,"name":"Bava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.24,"elongation":136.971},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.24,"opposition_distance":43.029}},"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":"05:59","sunsetLocal":"18:25","solarNoonLocal":"12:12","dayLengthHours":12.433264451740051,"dayLengthDisplay":"12 Hours 26 Mins 00 Secs","nightLengthDisplay":"11 Hours 34 Mins 00 Secs","moonriseLocal":"15:58","moonsetLocal":"02:33","rahuKala":{"name":"Rāhu Kāla","start":"16:52","end":"18:25","startHours":16.865402987238085,"endHours":18.419561043705592,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:12","end":"13:45","startHours":12.202928817835566,"endHours":13.757086874303074,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:19","end":"16:52","startHours":15.31124493077058,"endHours":16.865402987238085,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:53","end":"09:18","startHours":8.887391630704887,"endHours":9.30183377909622,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:30","end":"06:50","startHours":6.504349277454709,"endHours":6.8359029961677775,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:47","end":"12:37","startHours":11.78848666944423,"endHours":12.617370966226902,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:20","end":"05:09","startHours":4.328527998400201,"endHours":5.157412295182871,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:57","end":"05:59","startHours":4.950191220987203,"endHours":5.986296591965541,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:17","end":"15:06","startHours":14.275139559792242,"endHours":15.104023856574912,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:13","end":"18:37","startHours":18.219561043705593,"endHours":18.61956104370559,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:25","end":"18:56","startHours":18.419561043705592,"endHours":18.937613729194762,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:10","end":"19:55","startHours":18.169561043705592,"endHours":19.919561043705592,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:47","end":"00:37","startHours":23.788486669444232,"endHours":24.6173709662269,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:59","end":"07:32","startHours":5.986296591965541,"endHours":7.540454648433047,"quality":"inauspicious"},{"name":"Chala","start":"07:32","end":"09:06","startHours":7.540454648433047,"endHours":9.094612704900554,"quality":"neutral"},{"name":"Labha","start":"09:06","end":"10:39","startHours":9.094612704900554,"endHours":10.64877076136806,"quality":"auspicious"},{"name":"Amṛta","start":"10:39","end":"12:12","startHours":10.64877076136806,"endHours":12.202928817835566,"quality":"auspicious"},{"name":"Kāla","start":"12:12","end":"13:45","startHours":12.202928817835566,"endHours":13.757086874303074,"quality":"inauspicious"},{"name":"Śubha","start":"13:45","end":"15:19","startHours":13.757086874303074,"endHours":15.31124493077058,"quality":"auspicious"},{"name":"Roga","start":"15:19","end":"16:52","startHours":15.31124493077058,"endHours":16.865402987238085,"quality":"inauspicious"},{"name":"Udveg","start":"16:52","end":"18:25","startHours":16.865402987238085,"endHours":18.419561043705592,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:25","end":"19:52","startHours":18.419561043705592,"endHours":19.865402987238085,"quality":"auspicious"},{"name":"Roga","start":"19:52","end":"21:19","startHours":19.865402987238085,"endHours":21.311244930770577,"quality":"inauspicious"},{"name":"Udveg","start":"21:19","end":"22:45","startHours":21.311244930770577,"endHours":22.757086874303074,"quality":"inauspicious"},{"name":"Chala","start":"22:45","end":"00:12","startHours":22.757086874303074,"endHours":24.202928817835566,"quality":"neutral"},{"name":"Labha","start":"00:12","end":"01:39","startHours":24.202928817835566,"endHours":25.64877076136806,"quality":"auspicious"},{"name":"Amṛta","start":"01:39","end":"03:06","startHours":25.64877076136806,"endHours":27.094612704900555,"quality":"auspicious"},{"name":"Kāla","start":"03:06","end":"04:32","startHours":27.094612704900555,"endHours":28.540454648433048,"quality":"inauspicious"},{"name":"Śubha","start":"04:32","end":"05:59","startHours":28.540454648433048,"endHours":29.98629659196554,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:59","end":"06:59","startHours":5.986296591965541,"endHours":6.986296591965541,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:59","end":"07:59","startHours":6.986296591965541,"endHours":7.986296591965541,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:59","end":"08:59","startHours":7.986296591965541,"endHours":8.98629659196554,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:59","end":"09:59","startHours":8.98629659196554,"endHours":9.98629659196554,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:59","end":"10:59","startHours":9.98629659196554,"endHours":10.98629659196554,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:59","end":"11:59","startHours":10.98629659196554,"endHours":11.98629659196554,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:59","end":"12:59","startHours":11.98629659196554,"endHours":12.98629659196554,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:59","end":"13:59","startHours":12.98629659196554,"endHours":13.98629659196554,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:59","end":"14:59","startHours":13.98629659196554,"endHours":14.98629659196554,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:59","end":"15:59","startHours":14.98629659196554,"endHours":15.98629659196554,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:59","end":"16:59","startHours":15.98629659196554,"endHours":16.98629659196554,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:59","end":"17:59","startHours":16.98629659196554,"endHours":17.98629659196554,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:59","end":"18:59","startHours":17.98629659196554,"endHours":18.98629659196554,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:59","end":"19:59","startHours":18.98629659196554,"endHours":19.98629659196554,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:59","end":"20:59","startHours":19.98629659196554,"endHours":20.98629659196554,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:59","end":"21:59","startHours":20.98629659196554,"endHours":21.98629659196554,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:59","end":"22:59","startHours":21.98629659196554,"endHours":22.98629659196554,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:59","end":"23:59","startHours":22.98629659196554,"endHours":23.98629659196554,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:59","end":"00:59","startHours":23.98629659196554,"endHours":24.98629659196554,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:59","end":"01:59","startHours":24.98629659196554,"endHours":25.98629659196554,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:59","end":"02:59","startHours":25.98629659196554,"endHours":26.98629659196554,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:59","end":"03:59","startHours":26.98629659196554,"endHours":27.98629659196554,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:59","end":"04:59","startHours":27.98629659196554,"endHours":28.98629659196554,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:59","end":"05:59","startHours":28.98629659196554,"endHours":29.98629659196554,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":3.9339061271884845,"eotMinutes":4.753870929866006,"ayanamsa":25.567}},"calendars":{"vikram_samvat":2179,"vikram_samvatsara":"Manmatha","saka_samvat":2044,"saka_samvatsara":"Citrabhānu","bengali_samvat":1529,"malayalam_era":1298,"nanakshahi_year":653,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Bhādrapada","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Dvādaśī · Vikram 2179 Manmatha · Śaka 2044 Citrabhānu"},"festivals":[{"id":"vamana-jayanti","name":"Vāmana Jayantī","name_sanskrit":"वामन जयन्ती","tradition":"Vaishnava","associated_deity":"Vāmana (5th daśāvatāra of Krishna)","deity_avatara_index":15,"significance":"Vāmana's three-step measure of all worlds; Bali's surrender. (= Onam in Kerala.)","vrata":true,"detection":{"tithi_number":12,"tithi_paksha":"Śukla","lunar_month":"Bhādrapada"},"precedence":2,"sources":["Bhāgavata 8.18-22"]},{"id":"onam","name":"Onam (Vāmana / King Bali)","name_sanskrit":"ओणम् (वामन-बलि स्मरण)","tradition":"Regional","associated_deity":"Vāmana + King Bali","significance":"Kerala festival; King Bali's annual return to Kerala. Aligned with Thiru-Onam (Śravaṇa nakshatra in Bhādrapada).","vrata":false,"detection":{"nakshatra_name":"Śravaṇa","lunar_month":"Bhādrapada"},"precedence":2}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 September 13, 2122 CE · Ṛṣikeśa · Vidhyamitra","description":"September 13, 2122 CE for Ṛṣikeśa: Śukla Dvādaśī, sūryodaya 05:59, sūryāsta 18:25.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2122-09-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2122-09-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/2122-09-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/2122-09-13","x-default":"https://vidhyamitra.com/city/rishikesh/2122-09-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T21:01:58.928Z","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":"2026-05-31T21:01:58.928Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T21:01:58.928Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}