{"id":"vidhyamitra:city-day:rishikesh:2051-08-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2051-08-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2051-08-20","date_display":"August 20, 2051 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":2051,"month":8,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470403.770833,"kali_year":5153,"ahargana":1881938.2708,"sun":{"sidereal_longitude":121.6888,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":274.7071,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":153.0183,"elapsed_within_tithi_degrees":9.0183},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3,"moon_longitude":274.7071,"elapsed_within_degrees":8.0405},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":36.3959},"karana":{"half_tithi_index":25,"name":"Taitila"},"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":2051,"month":8,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2470403.770833,"ahargana":1881938.2708,"kali_year":5153,"ayanamsa_lahiri":24.5743,"grahas":{"sun":{"sidereal_longitude":122.44696700000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":275.604967,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false,"latitude":4.4991},"mars":{"sidereal_longitude":128.801267,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":104.96416699999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":136.68946699999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":125.82316700000001,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":291.2284669999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":185.8539,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":5.8539,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","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":2051,"month":8,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470403.770833,"kali_year":5153,"ahargana":1881938.2708,"sun":{"sidereal_longitude":121.6888,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":274.7071,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":153.0183,"elapsed_within_tithi_degrees":9.0183},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3,"moon_longitude":274.7071,"elapsed_within_degrees":8.0405},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":36.3959},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.499,"elongation":153.018},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.499,"opposition_distance":26.982}},"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":"05:46","sunsetLocal":"18:53","solarNoonLocal":"12:20","dayLengthHours":13.11696360882065,"dayLengthDisplay":"13 Hours 07 Mins 01 Secs","nightLengthDisplay":"10 Hours 52 Mins 59 Secs","moonriseLocal":"17:19","moonsetLocal":"03:47","rahuKala":{"name":"Rāhu Kāla","start":"17:15","end":"18:53","startHours":17.25185486848325,"endHours":18.89147531958583,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:20","end":"13:58","startHours":12.332993515175506,"endHours":13.972613966278086,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:37","end":"17:15","startHours":15.612234417380668,"endHours":17.25185486848325,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:50","end":"09:16","startHours":8.835136552823332,"endHours":9.272368673117354,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:19","end":"06:40","startHours":6.321051861132707,"endHours":6.670837557367925,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:46","startHours":11.895761394881482,"endHours":12.770225635469526,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:02","end":"04:54","startHours":4.025583229589094,"endHours":4.900047470177137,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:41","end":"05:46","startHours":4.681431410030126,"endHours":5.77451171076518,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:31","end":"15:24","startHours":14.519154116645613,"endHours":15.393618357233656,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:41","end":"19:05","startHours":18.69147531958583,"endHours":19.09147531958583,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:53","end":"19:26","startHours":18.89147531958583,"endHours":19.438015469953356,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:38","end":"20:23","startHours":18.64147531958583,"endHours":20.39147531958583,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:46","startHours":23.895761394881482,"endHours":24.770225635469522,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:46","end":"07:25","startHours":5.77451171076518,"endHours":7.414132161867761,"quality":"inauspicious"},{"name":"Chala","start":"07:25","end":"09:03","startHours":7.414132161867761,"endHours":9.053752612970342,"quality":"neutral"},{"name":"Labha","start":"09:03","end":"10:42","startHours":9.053752612970342,"endHours":10.693373064072924,"quality":"auspicious"},{"name":"Amṛta","start":"10:42","end":"12:20","startHours":10.693373064072924,"endHours":12.332993515175506,"quality":"auspicious"},{"name":"Kāla","start":"12:20","end":"13:58","startHours":12.332993515175506,"endHours":13.972613966278086,"quality":"inauspicious"},{"name":"Śubha","start":"13:58","end":"15:37","startHours":13.972613966278086,"endHours":15.612234417380668,"quality":"auspicious"},{"name":"Roga","start":"15:37","end":"17:15","startHours":15.612234417380668,"endHours":17.25185486848325,"quality":"inauspicious"},{"name":"Udveg","start":"17:15","end":"18:53","startHours":17.25185486848325,"endHours":18.89147531958583,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:53","end":"20:15","startHours":18.89147531958583,"endHours":20.25185486848325,"quality":"auspicious"},{"name":"Roga","start":"20:15","end":"21:37","startHours":20.25185486848325,"endHours":21.612234417380666,"quality":"inauspicious"},{"name":"Udveg","start":"21:37","end":"22:58","startHours":21.612234417380666,"endHours":22.972613966278086,"quality":"inauspicious"},{"name":"Chala","start":"22:58","end":"00:20","startHours":22.972613966278086,"endHours":24.332993515175506,"quality":"neutral"},{"name":"Labha","start":"00:20","end":"01:42","startHours":24.332993515175506,"endHours":25.693373064072922,"quality":"auspicious"},{"name":"Amṛta","start":"01:42","end":"03:03","startHours":25.693373064072922,"endHours":27.053752612970342,"quality":"auspicious"},{"name":"Kāla","start":"03:03","end":"04:25","startHours":27.053752612970342,"endHours":28.414132161867762,"quality":"inauspicious"},{"name":"Śubha","start":"04:25","end":"05:46","startHours":28.414132161867762,"endHours":29.774511710765182,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:46","end":"06:46","startHours":5.77451171076518,"endHours":6.77451171076518,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:46","end":"07:46","startHours":6.77451171076518,"endHours":7.77451171076518,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:46","end":"08:46","startHours":7.77451171076518,"endHours":8.77451171076518,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:46","end":"09:46","startHours":8.77451171076518,"endHours":9.77451171076518,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:46","end":"10:46","startHours":9.77451171076518,"endHours":10.77451171076518,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:46","end":"11:46","startHours":10.77451171076518,"endHours":11.77451171076518,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:46","end":"12:46","startHours":11.77451171076518,"endHours":12.77451171076518,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:46","end":"13:46","startHours":12.77451171076518,"endHours":13.77451171076518,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:46","end":"14:46","startHours":13.77451171076518,"endHours":14.77451171076518,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:46","end":"15:46","startHours":14.77451171076518,"endHours":15.77451171076518,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:46","end":"16:46","startHours":15.77451171076518,"endHours":16.774511710765182,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:46","end":"17:46","startHours":16.774511710765182,"endHours":17.774511710765182,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:46","end":"18:46","startHours":17.774511710765182,"endHours":18.774511710765182,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:46","end":"19:46","startHours":18.774511710765182,"endHours":19.774511710765182,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:46","end":"20:46","startHours":19.774511710765182,"endHours":20.774511710765182,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:46","end":"21:46","startHours":20.774511710765182,"endHours":21.774511710765182,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:46","end":"22:46","startHours":21.774511710765182,"endHours":22.774511710765182,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:46","end":"23:46","startHours":22.774511710765182,"endHours":23.774511710765182,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:46","end":"00:46","startHours":23.774511710765182,"endHours":24.774511710765182,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:46","end":"01:46","startHours":24.774511710765182,"endHours":25.774511710765182,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:46","end":"02:46","startHours":25.774511710765182,"endHours":26.774511710765182,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:46","end":"03:46","startHours":26.774511710765182,"endHours":27.774511710765182,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:46","end":"04:46","startHours":27.774511710765182,"endHours":28.774511710765182,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:46","end":"05:46","startHours":28.774511710765182,"endHours":29.774511710765182,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"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":"Amṛta","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":12.503355858397141,"eotMinutes":-3.0500109105302213,"ayanamsa":24.5743}},"calendars":{"vikram_samvat":2108,"vikram_samvatsara":"Tāraṇa","saka_samvat":1973,"saka_samvatsara":"Prajāpati","bengali_samvat":1458,"malayalam_era":1227,"nanakshahi_year":582,"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 Trayodaśī · Vikram 2108 Tāraṇa · Śaka 1973 Prajāpati"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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 August 20, 2051 CE · Ṛṣikeśa · Vidhyamitra","description":"August 20, 2051 CE for Ṛṣikeśa: Śukla Trayodaśī, sūryodaya 05:46, sūryāsta 18:53.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2051-08-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2051-08-20","sa":"https://sa.vidhyamitra.com/city/rishikesh/2051-08-20","hi":"https://hi.vidhyamitra.com/city/rishikesh/2051-08-20","x-default":"https://vidhyamitra.com/city/rishikesh/2051-08-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T05:21:38.377Z","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":"2026-06-01T05:21:38.377Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T05:21:38.377Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}