{"id":"vidhyamitra:city-day:rishikesh:2117-09-09:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2117-09-09","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2117-09-09","date_display":"September 9, 2117 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":2117,"month":9,"day":9,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2494529.770833,"kali_year":5219,"ahargana":1906064.2708,"sun":{"sidereal_longitude":139.8954,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":297.6825,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":157.787,"elapsed_within_tithi_degrees":1.787},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":297.6825,"elapsed_within_degrees":4.3491},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":77.5779},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2117,"month":9,"day":9,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2494529.770833,"ahargana":1906064.2708,"kali_year":5219,"ayanamsa_lahiri":25.497,"grahas":{"sun":{"sidereal_longitude":140.88867600000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":298.845876,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false,"latitude":-3.4386},"mars":{"sidereal_longitude":157.33407599999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":132.82957599999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":344.411776,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":184.41407600000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":25.260976000000028,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":347.5423,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":167.5423,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","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":2117,"month":9,"day":9,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2494529.770833,"kali_year":5219,"ahargana":1906064.2708,"sun":{"sidereal_longitude":139.8954,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":297.6825,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":157.787,"elapsed_within_tithi_degrees":1.787},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":297.6825,"elapsed_within_degrees":4.3491},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":77.5779},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.439,"elongation":157.787},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.439,"opposition_distance":22.213}},"eclipse_window_40days":[{"offset_days":17,"type":"solar","occurs":true,"moon_latitude":0.843,"elongation":0.591}]},"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":"05:57","sunsetLocal":"18:30","solarNoonLocal":"12:14","dayLengthHours":12.545586812731138,"dayLengthDisplay":"12 Hours 32 Mins 44 Secs","nightLengthDisplay":"11 Hours 27 Mins 16 Secs","moonriseLocal":"17:14","moonsetLocal":"04:17","rahuKala":{"name":"Rāhu Kāla","start":"13:48","end":"15:22","startHours":13.79566792453792,"endHours":15.363866276129311,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:57","end":"07:31","startHours":5.954676166580959,"endHours":7.522874518172351,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:05","end":"10:40","startHours":9.091072869763742,"endHours":10.659271221355135,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:53","end":"09:18","startHours":8.881979756218225,"endHours":9.300165983309263,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:29","end":"06:49","startHours":6.477408950444756,"endHours":6.811957932117586,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:39","startHours":11.80928334585549,"endHours":12.645655800037567,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:17","end":"05:07","startHours":4.281931258216807,"endHours":5.118303712398883,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:55","end":"05:57","startHours":4.909210598853364,"endHours":5.954676166580959,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:19","end":"15:09","startHours":14.318400708401718,"endHours":15.154773162583794,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:18","end":"18:42","startHours":18.300262979312098,"endHours":18.700262979312097,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:30","end":"19:01","startHours":18.500262979312097,"endHours":19.022995763175896,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:15","end":"20:00","startHours":18.250262979312097,"endHours":20.000262979312097,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:39","startHours":23.80928334585549,"endHours":24.645655800037567,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:57","end":"07:31","startHours":5.954676166580959,"endHours":7.522874518172351,"quality":"auspicious"},{"name":"Roga","start":"07:31","end":"09:05","startHours":7.522874518172351,"endHours":9.091072869763742,"quality":"inauspicious"},{"name":"Udveg","start":"09:05","end":"10:40","startHours":9.091072869763742,"endHours":10.659271221355135,"quality":"inauspicious"},{"name":"Chala","start":"10:40","end":"12:14","startHours":10.659271221355135,"endHours":12.227469572946529,"quality":"neutral"},{"name":"Labha","start":"12:14","end":"13:48","startHours":12.227469572946529,"endHours":13.79566792453792,"quality":"auspicious"},{"name":"Amṛta","start":"13:48","end":"15:22","startHours":13.79566792453792,"endHours":15.363866276129311,"quality":"auspicious"},{"name":"Kāla","start":"15:22","end":"16:56","startHours":15.363866276129311,"endHours":16.932064627720706,"quality":"inauspicious"},{"name":"Śubha","start":"16:56","end":"18:30","startHours":16.932064627720706,"endHours":18.500262979312097,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:30","end":"19:56","startHours":18.500262979312097,"endHours":19.932064627720706,"quality":"auspicious"},{"name":"Kāla","start":"19:56","end":"21:22","startHours":19.932064627720706,"endHours":21.363866276129315,"quality":"inauspicious"},{"name":"Śubha","start":"21:22","end":"22:48","startHours":21.363866276129315,"endHours":22.79566792453792,"quality":"auspicious"},{"name":"Roga","start":"22:48","end":"00:14","startHours":22.79566792453792,"endHours":24.22746957294653,"quality":"inauspicious"},{"name":"Udveg","start":"00:14","end":"01:40","startHours":24.22746957294653,"endHours":25.659271221355137,"quality":"inauspicious"},{"name":"Chala","start":"01:40","end":"03:05","startHours":25.659271221355137,"endHours":27.091072869763742,"quality":"neutral"},{"name":"Labha","start":"03:05","end":"04:31","startHours":27.091072869763742,"endHours":28.52287451817235,"quality":"auspicious"},{"name":"Amṛta","start":"04:31","end":"05:57","startHours":28.52287451817235,"endHours":29.95467616658096,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:57","end":"06:57","startHours":5.954676166580959,"endHours":6.954676166580959,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:57","end":"07:57","startHours":6.954676166580959,"endHours":7.954676166580959,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:57","end":"08:57","startHours":7.954676166580959,"endHours":8.95467616658096,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:57","end":"09:57","startHours":8.95467616658096,"endHours":9.95467616658096,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:57","end":"10:57","startHours":9.95467616658096,"endHours":10.95467616658096,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:57","end":"11:57","startHours":10.95467616658096,"endHours":11.95467616658096,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:57","end":"12:57","startHours":11.95467616658096,"endHours":12.95467616658096,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:57","end":"13:57","startHours":12.95467616658096,"endHours":13.95467616658096,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:57","end":"14:57","startHours":13.95467616658096,"endHours":14.95467616658096,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:57","end":"15:57","startHours":14.95467616658096,"endHours":15.95467616658096,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:57","end":"16:57","startHours":15.95467616658096,"endHours":16.95467616658096,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:57","end":"17:57","startHours":16.95467616658096,"endHours":17.95467616658096,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:57","end":"18:57","startHours":17.95467616658096,"endHours":18.95467616658096,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:57","end":"19:57","startHours":18.95467616658096,"endHours":19.95467616658096,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:57","end":"20:57","startHours":19.95467616658096,"endHours":20.95467616658096,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:57","end":"21:57","startHours":20.95467616658096,"endHours":21.95467616658096,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:57","end":"22:57","startHours":21.95467616658096,"endHours":22.95467616658096,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:57","end":"23:57","startHours":22.95467616658096,"endHours":23.95467616658096,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:57","end":"00:57","startHours":23.95467616658096,"endHours":24.95467616658096,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:57","end":"01:57","startHours":24.95467616658096,"endHours":25.95467616658096,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:57","end":"02:57","startHours":25.95467616658096,"endHours":26.95467616658096,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:57","end":"03:57","startHours":26.95467616658096,"endHours":27.95467616658096,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:57","end":"04:57","startHours":27.95467616658096,"endHours":28.95467616658096,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:57","end":"05:57","startHours":28.95467616658096,"endHours":29.95467616658096,"planetary_lord":"Moon"}],"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":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","anandadiYoga":{"name":"Chatra","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":5.37191455098799,"eotMinutes":3.2814256232083188,"ayanamsa":25.497}},"calendars":{"vikram_samvat":2174,"vikram_samvatsara":"Vikṛti","saka_samvat":2039,"saka_samvatsara":"Īśvara","bengali_samvat":1524,"malayalam_era":1293,"nanakshahi_year":648,"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 Caturdaśī · Vikram 2174 Vikṛti · Śaka 2039 Īśvara"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 9, 2117 CE · Ṛṣikeśa · Vidhyamitra","description":"September 9, 2117 CE for Ṛṣikeśa: Śukla Caturdaśī, sūryodaya 05:57, sūryāsta 18:30.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2117-09-09","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2117-09-09","sa":"https://sa.vidhyamitra.com/city/rishikesh/2117-09-09","hi":"https://hi.vidhyamitra.com/city/rishikesh/2117-09-09","x-default":"https://vidhyamitra.com/city/rishikesh/2117-09-09"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T06:07:24.202Z","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":"2026-06-01T06:07:24.202Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T06:07:24.202Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}