{"id":"vidhyamitra:city-day:rishikesh:2109-08-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2109-08-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2109-08-31","date_display":"August 31, 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":8,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2491598.770833,"kali_year":5211,"ahargana":1903133.2708,"sun":{"sidereal_longitude":131.2796,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":192.4157,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":61.1361,"elapsed_within_tithi_degrees":1.1361},"nakshatra":{"number":15,"name":"Svātī","pada":2,"moon_longitude":192.4157,"elapsed_within_degrees":5.749},"yoga":{"number":25,"name":"Brahma","sum_longitude":323.6953},"karana":{"half_tithi_index":10,"name":"Kaulava"},"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":2109,"month":8,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2491598.770833,"ahargana":1903133.2708,"kali_year":5211,"ayanamsa_lahiri":25.3849,"grahas":{"sun":{"sidereal_longitude":132.222462,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":195.28006200000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false,"latitude":3.4242},"mars":{"sidereal_longitude":103.71906200000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":127.61036200000001,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":106.57116200000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"venus":{"sidereal_longitude":174.40186199999994,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":278.79676199999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":142.8408,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":322.8408,"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":2109,"month":8,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2491598.770833,"kali_year":5211,"ahargana":1903133.2708,"sun":{"sidereal_longitude":131.2796,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":192.4157,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":61.1361,"elapsed_within_tithi_degrees":1.1361},"nakshatra":{"number":15,"name":"Svātī","pada":2,"moon_longitude":192.4157,"elapsed_within_degrees":5.749},"yoga":{"number":25,"name":"Brahma","sum_longitude":323.6953},"karana":{"half_tithi_index":10,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.424,"elongation":61.136},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.424,"opposition_distance":118.864}},"eclipse_window_40days":[{"offset_days":9,"type":"lunar","occurs":true,"moon_latitude":0.314,"opposition_distance":1.611}]},"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":"18:41","solarNoonLocal":"12:17","dayLengthHours":12.809832505862198,"dayLengthDisplay":"12 Hours 48 Mins 35 Secs","nightLengthDisplay":"11 Hours 11 Mins 25 Secs","moonriseLocal":"11:02","moonsetLocal":"21:56","rahuKala":{"name":"Rāhu Kāla","start":"09:05","end":"10:41","startHours":9.077275381477993,"endHours":10.678504444710768,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:53","end":"15:29","startHours":13.880962571176317,"endHours":15.482191634409093,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:52","end":"07:29","startHours":5.874817255012443,"endHours":7.476046318245218,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:52","end":"09:17","startHours":8.863778173046956,"endHours":9.290772589909029,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:25","end":"06:45","startHours":6.408560276090035,"endHours":6.750155809579693,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:51","end":"12:42","startHours":11.852739091081471,"endHours":12.706727924805616,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:10","end":"05:01","startHours":4.16683958756415,"endHours":5.0208284212882965,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:48","end":"05:52","startHours":4.80733121285726,"endHours":5.874817255012443,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:25","end":"15:16","startHours":14.41470559225391,"endHours":15.268694425978056,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:29","end":"18:53","startHours":18.484649760874643,"endHours":18.88464976087464,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:41","end":"19:13","startHours":18.684649760874642,"endHours":19.218392781952232,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:26","end":"20:11","startHours":18.434649760874642,"endHours":20.184649760874642,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:51","end":"00:42","startHours":23.85273909108147,"endHours":24.706727924805616,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:52","end":"07:29","startHours":5.874817255012443,"endHours":7.476046318245218,"quality":"inauspicious"},{"name":"Śubha","start":"07:29","end":"09:05","startHours":7.476046318245218,"endHours":9.077275381477993,"quality":"auspicious"},{"name":"Roga","start":"09:05","end":"10:41","startHours":9.077275381477993,"endHours":10.678504444710768,"quality":"inauspicious"},{"name":"Udveg","start":"10:41","end":"12:17","startHours":10.678504444710768,"endHours":12.279733507943543,"quality":"inauspicious"},{"name":"Chala","start":"12:17","end":"13:53","startHours":12.279733507943543,"endHours":13.880962571176317,"quality":"neutral"},{"name":"Labha","start":"13:53","end":"15:29","startHours":13.880962571176317,"endHours":15.482191634409093,"quality":"auspicious"},{"name":"Amṛta","start":"15:29","end":"17:05","startHours":15.482191634409093,"endHours":17.083420697641866,"quality":"auspicious"},{"name":"Kāla","start":"17:05","end":"18:41","startHours":17.083420697641866,"endHours":18.684649760874642,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:41","end":"20:05","startHours":18.684649760874642,"endHours":20.083420697641866,"quality":"auspicious"},{"name":"Amṛta","start":"20:05","end":"21:29","startHours":20.083420697641866,"endHours":21.48219163440909,"quality":"auspicious"},{"name":"Kāla","start":"21:29","end":"22:53","startHours":21.48219163440909,"endHours":22.88096257117632,"quality":"inauspicious"},{"name":"Śubha","start":"22:53","end":"00:17","startHours":22.88096257117632,"endHours":24.279733507943543,"quality":"auspicious"},{"name":"Roga","start":"00:17","end":"01:41","startHours":24.279733507943543,"endHours":25.678504444710768,"quality":"inauspicious"},{"name":"Udveg","start":"01:41","end":"03:05","startHours":25.678504444710768,"endHours":27.077275381477993,"quality":"inauspicious"},{"name":"Chala","start":"03:05","end":"04:29","startHours":27.077275381477993,"endHours":28.476046318245217,"quality":"neutral"},{"name":"Labha","start":"04:29","end":"05:52","startHours":28.476046318245217,"endHours":29.874817255012445,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:52","end":"06:52","startHours":5.874817255012443,"endHours":6.874817255012443,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:52","end":"07:52","startHours":6.874817255012443,"endHours":7.874817255012443,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:52","end":"08:52","startHours":7.874817255012443,"endHours":8.874817255012443,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:52","end":"09:52","startHours":8.874817255012443,"endHours":9.874817255012443,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:52","end":"10:52","startHours":9.874817255012443,"endHours":10.874817255012443,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:52","end":"11:52","startHours":10.874817255012443,"endHours":11.874817255012443,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:52","end":"12:52","startHours":11.874817255012443,"endHours":12.874817255012443,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:52","end":"13:52","startHours":12.874817255012443,"endHours":13.874817255012443,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:52","end":"14:52","startHours":13.874817255012443,"endHours":14.874817255012443,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:52","end":"15:52","startHours":14.874817255012443,"endHours":15.874817255012443,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:52","end":"16:52","startHours":15.874817255012443,"endHours":16.874817255012445,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:52","end":"17:52","startHours":16.874817255012445,"endHours":17.874817255012445,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:52","end":"18:52","startHours":17.874817255012445,"endHours":18.874817255012445,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:52","end":"19:52","startHours":18.874817255012445,"endHours":19.874817255012445,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:52","end":"20:52","startHours":19.874817255012445,"endHours":20.874817255012445,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:52","end":"21:52","startHours":20.874817255012445,"endHours":21.874817255012445,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:52","end":"22:52","startHours":21.874817255012445,"endHours":22.874817255012445,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:52","end":"23:52","startHours":22.874817255012445,"endHours":23.874817255012445,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:52","end":"00:52","startHours":23.874817255012445,"endHours":24.874817255012445,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:52","end":"01:52","startHours":24.874817255012445,"endHours":25.874817255012445,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:52","end":"02:52","startHours":25.874817255012445,"endHours":26.874817255012445,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:52","end":"03:52","startHours":26.874817255012445,"endHours":27.874817255012445,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:52","end":"04:52","startHours":27.874817255012445,"endHours":28.874817255012445,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:52","end":"05:52","startHours":28.874817255012445,"endHours":29.874817255012445,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"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":"East","anandadiYoga":{"name":"Chatra","quality":"Auspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":8.714838059801576,"eotMinutes":0.14558952338733633,"ayanamsa":25.3849}},"calendars":{"vikram_samvat":2166,"vikram_samvatsara":"Citrabhānu","saka_samvat":2031,"saka_samvatsara":"Śukla","bengali_samvat":1516,"malayalam_era":1285,"nanakshahi_year":640,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Ṣaṣṭhī · Vikram 2166 Citrabhānu · Śaka 2031 Śukla"},"festivals":[{"id":"subrahmanya-shashthi","name":"Subrahmaṇya Ṣaṣṭhī","name_sanskrit":"सुब्रह्मण्य षष्ठी","tradition":"Shaiva","associated_deity":"Kārttikeya","significance":"Worship of Kārttikeya as Subrahmaṇya.","vrata":true,"detection":{"tithi_number":6,"tithi_paksha":"Śukla","lunar_month":"Bhādrapada"},"precedence":4},{"id":"simha-sankranti","name":"Siṁha Saṅkrānti","name_sanskrit":"सिंह सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Leo.","vrata":false,"detection":{"sun_rashi":"Siṃha"},"precedence":5}],"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 August 31, 2109 CE · Ṛṣikeśa · Vidhyamitra","description":"August 31, 2109 CE for Ṛṣikeśa: Śukla Ṣaṣṭhī, sūryodaya 05:52, sūryāsta 18:41.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2109-08-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2109-08-31","sa":"https://sa.vidhyamitra.com/city/rishikesh/2109-08-31","hi":"https://hi.vidhyamitra.com/city/rishikesh/2109-08-31","x-default":"https://vidhyamitra.com/city/rishikesh/2109-08-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-21T22:04:58.124Z","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":"2026-05-21T22:04:58.124Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-21T22:04:58.124Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}