{"id":"vidhyamitra:city-day:rishikesh:2113-08-24:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2113-08-24","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2113-08-24","date_display":"August 24, 2113 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":2113,"month":8,"day":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493052.770833,"kali_year":5215,"ahargana":1904587.2708,"sun":{"sidereal_longitude":124.5221,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":266.0652,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":141.5431,"elapsed_within_tithi_degrees":9.5431},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4,"moon_longitude":266.0652,"elapsed_within_degrees":12.7319},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":30.5873},"karana":{"half_tithi_index":23,"name":"Bālava"},"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":2113,"month":8,"day":24,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2493052.770833,"ahargana":1904587.2708,"kali_year":5215,"ayanamsa_lahiri":25.4405,"grahas":{"sun":{"sidereal_longitude":125.44520799999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":266.37460799999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false,"latitude":-1.5572},"mars":{"sidereal_longitude":123.31010800000001,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":141.879208,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":203.34510799999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":96.56260800000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":330.93940799999996,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":65.8009,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":245.8009,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":2113,"month":8,"day":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493052.770833,"kali_year":5215,"ahargana":1904587.2708,"sun":{"sidereal_longitude":124.5221,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":266.0652,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":141.5431,"elapsed_within_tithi_degrees":9.5431},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4,"moon_longitude":266.0652,"elapsed_within_degrees":12.7319},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":30.5873},"karana":{"half_tithi_index":23,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.557,"elongation":141.543},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.557,"opposition_distance":38.457}},"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":"05:49","sunsetLocal":"18:49","solarNoonLocal":"12:19","dayLengthHours":13.006773745975305,"dayLengthDisplay":"13 Hours 00 Mins 24 Secs","nightLengthDisplay":"10 Hours 59 Mins 36 Secs","moonriseLocal":"16:33","moonsetLocal":"02:52","rahuKala":{"name":"Rāhu Kāla","start":"13:56","end":"15:34","startHours":13.941204099948784,"endHours":15.567050818195696,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:49","end":"07:26","startHours":5.811970508714217,"endHours":7.43781722696113,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:04","end":"10:41","startHours":9.063663945208043,"endHours":10.689510663454957,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:51","end":"09:17","startHours":8.846884382775121,"endHours":9.280443507640966,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:21","end":"06:42","startHours":6.353919414796522,"endHours":6.7007667146891965,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:53","end":"12:45","startHours":11.881798256836028,"endHours":12.748916506567713,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:05","end":"04:57","startHours":4.077734009250843,"endHours":4.94485225898253,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:44","end":"05:49","startHours":4.728072696549608,"endHours":5.811970508714217,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:29","end":"15:21","startHours":14.483153006031088,"endHours":15.350271255762776,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:37","end":"19:01","startHours":18.618744254689524,"endHours":19.018744254689523,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:49","end":"19:22","startHours":18.818744254689523,"endHours":19.360693160771827,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:34","end":"20:19","startHours":18.568744254689523,"endHours":20.318744254689523,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:53","end":"00:45","startHours":23.881798256836028,"endHours":24.748916506567717,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:49","end":"07:26","startHours":5.811970508714217,"endHours":7.43781722696113,"quality":"auspicious"},{"name":"Roga","start":"07:26","end":"09:04","startHours":7.43781722696113,"endHours":9.063663945208043,"quality":"inauspicious"},{"name":"Udveg","start":"09:04","end":"10:41","startHours":9.063663945208043,"endHours":10.689510663454957,"quality":"inauspicious"},{"name":"Chala","start":"10:41","end":"12:19","startHours":10.689510663454957,"endHours":12.315357381701869,"quality":"neutral"},{"name":"Labha","start":"12:19","end":"13:56","startHours":12.315357381701869,"endHours":13.941204099948784,"quality":"auspicious"},{"name":"Amṛta","start":"13:56","end":"15:34","startHours":13.941204099948784,"endHours":15.567050818195696,"quality":"auspicious"},{"name":"Kāla","start":"15:34","end":"17:12","startHours":15.567050818195696,"endHours":17.192897536442608,"quality":"inauspicious"},{"name":"Śubha","start":"17:12","end":"18:49","startHours":17.192897536442608,"endHours":18.818744254689523,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:49","end":"20:12","startHours":18.818744254689523,"endHours":20.19289753644261,"quality":"auspicious"},{"name":"Kāla","start":"20:12","end":"21:34","startHours":20.19289753644261,"endHours":21.567050818195696,"quality":"inauspicious"},{"name":"Śubha","start":"21:34","end":"22:56","startHours":21.567050818195696,"endHours":22.941204099948784,"quality":"auspicious"},{"name":"Roga","start":"22:56","end":"00:19","startHours":22.941204099948784,"endHours":24.315357381701872,"quality":"inauspicious"},{"name":"Udveg","start":"00:19","end":"01:41","startHours":24.315357381701872,"endHours":25.689510663454957,"quality":"inauspicious"},{"name":"Chala","start":"01:41","end":"03:04","startHours":25.689510663454957,"endHours":27.063663945208045,"quality":"neutral"},{"name":"Labha","start":"03:04","end":"04:26","startHours":27.063663945208045,"endHours":28.43781722696113,"quality":"auspicious"},{"name":"Amṛta","start":"04:26","end":"05:49","startHours":28.43781722696113,"endHours":29.811970508714218,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:49","end":"06:49","startHours":5.811970508714217,"endHours":6.811970508714217,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:49","end":"07:49","startHours":6.811970508714217,"endHours":7.811970508714217,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:49","end":"08:49","startHours":7.811970508714217,"endHours":8.811970508714218,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:49","end":"09:49","startHours":8.811970508714218,"endHours":9.811970508714218,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:49","end":"10:49","startHours":9.811970508714218,"endHours":10.811970508714218,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:49","end":"11:49","startHours":10.811970508714218,"endHours":11.811970508714218,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:49","end":"12:49","startHours":11.811970508714218,"endHours":12.811970508714218,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:49","end":"13:49","startHours":12.811970508714218,"endHours":13.811970508714218,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:49","end":"14:49","startHours":13.811970508714218,"endHours":14.811970508714218,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:49","end":"15:49","startHours":14.811970508714218,"endHours":15.811970508714218,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:49","end":"16:49","startHours":15.811970508714218,"endHours":16.811970508714218,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:49","end":"17:49","startHours":16.811970508714218,"endHours":17.811970508714218,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:49","end":"18:49","startHours":17.811970508714218,"endHours":18.811970508714218,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:49","end":"19:49","startHours":18.811970508714218,"endHours":19.811970508714218,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:49","end":"20:49","startHours":19.811970508714218,"endHours":20.811970508714218,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:49","end":"21:49","startHours":20.811970508714218,"endHours":21.811970508714218,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:49","end":"22:49","startHours":21.811970508714218,"endHours":22.811970508714218,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:49","end":"23:49","startHours":22.811970508714218,"endHours":23.811970508714218,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:49","end":"00:49","startHours":23.811970508714218,"endHours":24.811970508714218,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:49","end":"01:49","startHours":24.811970508714218,"endHours":25.811970508714218,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:49","end":"02:49","startHours":25.811970508714218,"endHours":26.811970508714218,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:49","end":"03:49","startHours":26.811970508714218,"endHours":27.811970508714218,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:49","end":"04:49","startHours":27.811970508714218,"endHours":28.811970508714218,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:49","end":"05:49","startHours":28.811970508714218,"endHours":29.811970508714218,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"East","rahuVasa":"North-West","anandadiYoga":{"name":"Śrīvatsa","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":11.158165184085348,"eotMinutes":-1.9918429021122266,"ayanamsa":25.4405}},"calendars":{"vikram_samvat":2170,"vikram_samvatsara":"Vyaya","saka_samvat":2035,"saka_samvatsara":"Śrīmukha","bengali_samvat":1520,"malayalam_era":1289,"nanakshahi_year":644,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Dvādaśī · Vikram 2170 Vyaya · Śaka 2035 Śrīmukha"},"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":"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":"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 August 24, 2113 CE · Ṛṣikeśa · Vidhyamitra","description":"August 24, 2113 CE for Ṛṣikeśa: Śukla Dvādaśī, sūryodaya 05:49, sūryāsta 18:49.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2113-08-24","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2113-08-24","sa":"https://sa.vidhyamitra.com/city/rishikesh/2113-08-24","hi":"https://hi.vidhyamitra.com/city/rishikesh/2113-08-24","x-default":"https://vidhyamitra.com/city/rishikesh/2113-08-24"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-22T01:17:36.335Z","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":"2026-05-22T01:17:36.335Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-22T01:17:36.335Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}