{"id":"vidhyamitra:city-day:rishikesh:2157-08-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2157-08-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2157-08-20","date_display":"August 20, 2157 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":2157,"month":8,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509119.770833,"kali_year":5259,"ahargana":1920654.2708,"sun":{"sidereal_longitude":120.3218,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":290.9979,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":170.676,"elapsed_within_tithi_degrees":2.676},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4,"moon_longitude":290.9979,"elapsed_within_degrees":10.9979},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":51.3197},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"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":2157,"month":8,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509119.770833,"ahargana":1920654.2708,"kali_year":5259,"ayanamsa_lahiri":26.055,"grahas":{"sun":{"sidereal_longitude":121.331231,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":292.79933099999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false,"latitude":-0.2741},"mars":{"sidereal_longitude":206.89723100000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":102.67143099999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":116.52793099999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":163.10043100000007,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":154.38913100000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":294.4939,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":114.4939,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":2157,"month":8,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509119.770833,"kali_year":5259,"ahargana":1920654.2708,"sun":{"sidereal_longitude":120.3218,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":290.9979,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":170.676,"elapsed_within_tithi_degrees":2.676},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4,"moon_longitude":290.9979,"elapsed_within_degrees":10.9979},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":51.3197},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.274,"elongation":170.676},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.274,"opposition_distance":9.324}},"eclipse_window_40days":[{"offset_days":-15,"type":"solar","occurs":true,"moon_latitude":0.786,"elongation":0.793}]},"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":"05:47","sunsetLocal":"18:53","solarNoonLocal":"12:20","dayLengthHours":13.106669050502905,"dayLengthDisplay":"13 Hours 06 Mins 24 Secs","nightLengthDisplay":"10 Hours 53 Mins 36 Secs","moonriseLocal":"18:19","moonsetLocal":"05:13","rahuKala":{"name":"Rāhu Kāla","start":"09:03","end":"10:42","startHours":9.056326252549777,"endHours":10.694659883862641,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:58","end":"15:37","startHours":13.971327146488367,"endHours":15.609660777801231,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:47","end":"07:25","startHours":5.779658989924051,"endHours":7.417992621236914,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:50","end":"09:16","startHours":8.837881768374729,"endHours":9.274770736724825,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:20","end":"06:41","startHours":6.325770200361672,"endHours":6.675281375041749,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:46","startHours":11.896104546825407,"endHours":12.7698824835256,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:02","end":"04:54","startHours":4.032103116523663,"endHours":4.905881053223857,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:41","end":"05:47","startHours":4.687436569048809,"endHours":5.779658989924051,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:31","end":"15:23","startHours":14.517438356925986,"endHours":15.39121629362618,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:41","end":"19:05","startHours":18.686328040426957,"endHours":19.086328040426956,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:53","end":"19:26","startHours":18.886328040426957,"endHours":19.43243925086458,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:38","end":"20:23","startHours":18.636328040426957,"endHours":20.386328040426957,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:46","startHours":23.896104546825406,"endHours":24.7698824835256,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:47","end":"07:25","startHours":5.779658989924051,"endHours":7.417992621236914,"quality":"inauspicious"},{"name":"Śubha","start":"07:25","end":"09:03","startHours":7.417992621236914,"endHours":9.056326252549777,"quality":"auspicious"},{"name":"Roga","start":"09:03","end":"10:42","startHours":9.056326252549777,"endHours":10.694659883862641,"quality":"inauspicious"},{"name":"Udveg","start":"10:42","end":"12:20","startHours":10.694659883862641,"endHours":12.332993515175502,"quality":"inauspicious"},{"name":"Chala","start":"12:20","end":"13:58","startHours":12.332993515175502,"endHours":13.971327146488367,"quality":"neutral"},{"name":"Labha","start":"13:58","end":"15:37","startHours":13.971327146488367,"endHours":15.609660777801231,"quality":"auspicious"},{"name":"Amṛta","start":"15:37","end":"17:15","startHours":15.609660777801231,"endHours":17.247994409114092,"quality":"auspicious"},{"name":"Kāla","start":"17:15","end":"18:53","startHours":17.247994409114092,"endHours":18.886328040426957,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:53","end":"20:15","startHours":18.886328040426957,"endHours":20.247994409114092,"quality":"auspicious"},{"name":"Amṛta","start":"20:15","end":"21:37","startHours":20.247994409114092,"endHours":21.60966077780123,"quality":"auspicious"},{"name":"Kāla","start":"21:37","end":"22:58","startHours":21.60966077780123,"endHours":22.971327146488367,"quality":"inauspicious"},{"name":"Śubha","start":"22:58","end":"00:20","startHours":22.971327146488367,"endHours":24.332993515175502,"quality":"auspicious"},{"name":"Roga","start":"00:20","end":"01:42","startHours":24.332993515175502,"endHours":25.69465988386264,"quality":"inauspicious"},{"name":"Udveg","start":"01:42","end":"03:03","startHours":25.69465988386264,"endHours":27.056326252549777,"quality":"inauspicious"},{"name":"Chala","start":"03:03","end":"04:25","startHours":27.056326252549777,"endHours":28.417992621236912,"quality":"neutral"},{"name":"Labha","start":"04:25","end":"05:47","startHours":28.417992621236912,"endHours":29.77965898992405,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:47","end":"06:47","startHours":5.779658989924051,"endHours":6.779658989924051,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:47","end":"07:47","startHours":6.779658989924051,"endHours":7.779658989924051,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:47","end":"08:47","startHours":7.779658989924051,"endHours":8.779658989924052,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:47","end":"09:47","startHours":8.779658989924052,"endHours":9.779658989924052,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:47","end":"10:47","startHours":9.779658989924052,"endHours":10.779658989924052,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:47","end":"11:47","startHours":10.779658989924052,"endHours":11.779658989924052,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:47","end":"12:47","startHours":11.779658989924052,"endHours":12.779658989924052,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:47","end":"13:47","startHours":12.779658989924052,"endHours":13.779658989924052,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:47","end":"14:47","startHours":13.779658989924052,"endHours":14.779658989924052,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:47","end":"15:47","startHours":14.779658989924052,"endHours":15.779658989924052,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:47","end":"16:47","startHours":15.779658989924052,"endHours":16.77965898992405,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:47","end":"17:47","startHours":16.77965898992405,"endHours":17.77965898992405,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:47","end":"18:47","startHours":17.77965898992405,"endHours":18.77965898992405,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:47","end":"19:47","startHours":18.77965898992405,"endHours":19.77965898992405,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:47","end":"20:47","startHours":19.77965898992405,"endHours":20.77965898992405,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:47","end":"21:47","startHours":20.77965898992405,"endHours":21.77965898992405,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:47","end":"22:47","startHours":21.77965898992405,"endHours":22.77965898992405,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:47","end":"23:47","startHours":22.77965898992405,"endHours":23.77965898992405,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:47","end":"00:47","startHours":23.77965898992405,"endHours":24.77965898992405,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:47","end":"01:47","startHours":24.77965898992405,"endHours":25.77965898992405,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:47","end":"02:47","startHours":25.77965898992405,"endHours":26.77965898992405,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:47","end":"03:47","startHours":26.77965898992405,"endHours":27.77965898992405,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:47","end":"04:47","startHours":27.77965898992405,"endHours":28.77965898992405,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:47","end":"05:47","startHours":28.77965898992405,"endHours":29.77965898992405,"planetary_lord":"Mercury"}],"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":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"East","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":12.37840183579925,"eotMinutes":-3.0500109105302213,"ayanamsa":26.055}},"calendars":{"vikram_samvat":2214,"vikram_samvatsara":"Pramoda","saka_samvat":2079,"saka_samvatsara":"Piṅgala","bengali_samvat":1564,"malayalam_era":1333,"nanakshahi_year":688,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Śrāvaṇa","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":"Śrāvaṇa Śukla Pūrṇimā · Vikram 2214 Pramoda · Śaka 2079 Piṅgala"},"festivals":[{"id":"raksha-bandhana","name":"Rakṣā Bandhana / Śrāvaṇa Pūrṇimā","name_sanskrit":"रक्षा बन्धन","tradition":"Pan-Hindu","significance":"Sister-brother bond; Brāhmaṇa Upākarma.","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Śrāvaṇa"},"precedence":1},{"id":"jhulan-purnima","name":"Jhūlan Pūrṇimā (Rādhā-Krishna swing)","name_sanskrit":"झूलन पूर्णिमा","tradition":"Vaishnava","associated_deity":"Rādhā-Krishna","significance":"Rādhā-Krishna swing-līlā festival; Jhūlan-yātrā culmination.","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Śrāvaṇa"},"precedence":3},{"id":"upakarman-rigveda","name":"Ṛg-Veda Upākarman","name_sanskrit":"ऋग्वेद उपाकर्मन्","tradition":"Smarta","associated_deity":"Ṛṣi-paramparā","significance":"Annual renewal of Veda-svādhyāya for Ṛg-Vedīs. Śrāvaṇa Pūrṇimā.","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Śrāvaṇa"},"precedence":3},{"id":"upakarman-yajurveda","name":"Yajur-Veda Upākarman","name_sanskrit":"यजुर्वेद उपाकर्मन्","tradition":"Smarta","significance":"Annual renewal of Veda-svādhyāya for Yajur-Vedīs.","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Śrāvaṇa"},"precedence":3},{"id":"hayagriva-jayanti","name":"Hayagrīva Jayantī","name_sanskrit":"हयग्रीव जयन्ती","tradition":"Vaishnava","associated_deity":"Hayagrīva (Knowledge-form of Bhagavān)","significance":"Bhagavān as Hayagrīva restored the Vedas to Brahmā. Vidyā-pradāyaka.","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Śrāvaṇa"},"precedence":4,"sources":["Devī-Bhāgavata, Hayagrīva-stotra"]}],"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":"Dedicated festival walk for Rakṣā Bandhana / Śrāvaṇa Pūrṇimā · Jhūlan Pūrṇimā (Rādhā-Krishna swing) · Ṛg-Veda Upākarman · Yajur-Veda Upākarman · Hayagrīva Jayantī is not live yet; 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 20, 2157 CE · Ṛṣikeśa · Vidhyamitra","description":"August 20, 2157 CE for Ṛṣikeśa: Śukla Pūrṇimā, sūryodaya 05:47, sūryāsta 18:53.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2157-08-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2157-08-20","sa":"https://sa.vidhyamitra.com/city/rishikesh/2157-08-20","hi":"https://hi.vidhyamitra.com/city/rishikesh/2157-08-20","x-default":"https://vidhyamitra.com/city/rishikesh/2157-08-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-29T13:53:14.506Z","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":"2026-06-29T13:53:14.506Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-29T13:53:14.506Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no founder-city is the universal center.","purna_chain":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","Divyāṁśa-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}