{"id":"vidhyamitra:city-day:rishikesh:2064-08-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2064-08-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2064-08-21","date_display":"August 21, 2064 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":2064,"month":8,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2475153.770833,"kali_year":5166,"ahargana":1886688.2708,"sun":{"sidereal_longitude":123.2559,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":232.5249,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":109.269,"elapsed_within_tithi_degrees":1.269},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2,"moon_longitude":232.5249,"elapsed_within_degrees":5.8583},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":355.7809},"karana":{"half_tithi_index":18,"name":"Taitila"},"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":2064,"month":8,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2475153.770833,"ahargana":1886688.2708,"kali_year":5166,"ayanamsa_lahiri":24.7559,"grahas":{"sun":{"sidereal_longitude":124.053582,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":235.23558200000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false,"latitude":-3.9594},"mars":{"sidereal_longitude":113.12048200000004,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":107.11708199999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":164.637382,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"venus":{"sidereal_longitude":147.17078200000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":101.47528199999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":294.176,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":114.176,"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":2064,"month":8,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2475153.770833,"kali_year":5166,"ahargana":1886688.2708,"sun":{"sidereal_longitude":123.2559,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":232.5249,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":109.269,"elapsed_within_tithi_degrees":1.269},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2,"moon_longitude":232.5249,"elapsed_within_degrees":5.8583},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":355.7809},"karana":{"half_tithi_index":18,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.959,"elongation":109.269},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.959,"opposition_distance":70.731}},"eclipse_window_40days":[{"offset_days":-8,"type":"solar","occurs":true,"moon_latitude":-0.286,"elongation":2.644}]},"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":"05:48","sunsetLocal":"18:52","solarNoonLocal":"12:20","dayLengthHours":13.066292899456906,"dayLengthDisplay":"13 Hours 03 Mins 59 Secs","nightLengthDisplay":"10 Hours 56 Mins 01 Secs","moonriseLocal":"14:39","moonsetLocal":"00:50","rahuKala":{"name":"Rāhu Kāla","start":"13:58","end":"15:36","startHours":13.962078167698692,"endHours":15.595364780130806,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:48","end":"07:26","startHours":5.795645105538126,"endHours":7.428931717970239,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:04","end":"10:42","startHours":9.062218330402352,"endHours":10.695504942834466,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:51","end":"09:17","startHours":8.844446782078071,"endHours":9.279989878726635,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:20","end":"06:41","startHours":6.3400739763488305,"endHours":6.688508453667682,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:46","startHours":11.893248458618016,"endHours":12.764334651915144,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:03","end":"04:55","startHours":4.053472718943872,"endHours":4.924558912240999,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:42","end":"05:48","startHours":4.7067873639167175,"endHours":5.795645105538126,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:30","end":"15:23","startHours":14.506507038509397,"endHours":15.377593231806525,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:40","end":"19:04","startHours":18.661938004995033,"endHours":19.06193800499503,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:52","end":"19:24","startHours":18.861938004995032,"endHours":19.406366875805737,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:37","end":"20:22","startHours":18.611938004995032,"endHours":20.361938004995032,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:46","startHours":23.893248458618018,"endHours":24.764334651915142,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:48","end":"07:26","startHours":5.795645105538126,"endHours":7.428931717970239,"quality":"auspicious"},{"name":"Roga","start":"07:26","end":"09:04","startHours":7.428931717970239,"endHours":9.062218330402352,"quality":"inauspicious"},{"name":"Udveg","start":"09:04","end":"10:42","startHours":9.062218330402352,"endHours":10.695504942834466,"quality":"inauspicious"},{"name":"Chala","start":"10:42","end":"12:20","startHours":10.695504942834466,"endHours":12.32879155526658,"quality":"neutral"},{"name":"Labha","start":"12:20","end":"13:58","startHours":12.32879155526658,"endHours":13.962078167698692,"quality":"auspicious"},{"name":"Amṛta","start":"13:58","end":"15:36","startHours":13.962078167698692,"endHours":15.595364780130806,"quality":"auspicious"},{"name":"Kāla","start":"15:36","end":"17:14","startHours":15.595364780130806,"endHours":17.228651392562917,"quality":"inauspicious"},{"name":"Śubha","start":"17:14","end":"18:52","startHours":17.228651392562917,"endHours":18.861938004995032,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:52","end":"20:14","startHours":18.861938004995032,"endHours":20.22865139256292,"quality":"auspicious"},{"name":"Kāla","start":"20:14","end":"21:36","startHours":20.22865139256292,"endHours":21.595364780130804,"quality":"inauspicious"},{"name":"Śubha","start":"21:36","end":"22:58","startHours":21.595364780130804,"endHours":22.962078167698692,"quality":"auspicious"},{"name":"Roga","start":"22:58","end":"00:20","startHours":22.962078167698692,"endHours":24.32879155526658,"quality":"inauspicious"},{"name":"Udveg","start":"00:20","end":"01:42","startHours":24.32879155526658,"endHours":25.695504942834468,"quality":"inauspicious"},{"name":"Chala","start":"01:42","end":"03:04","startHours":25.695504942834468,"endHours":27.062218330402352,"quality":"neutral"},{"name":"Labha","start":"03:04","end":"04:26","startHours":27.062218330402352,"endHours":28.42893171797024,"quality":"auspicious"},{"name":"Amṛta","start":"04:26","end":"05:48","startHours":28.42893171797024,"endHours":29.795645105538128,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:48","end":"06:48","startHours":5.795645105538126,"endHours":6.795645105538126,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:48","end":"07:48","startHours":6.795645105538126,"endHours":7.795645105538126,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:48","end":"08:48","startHours":7.795645105538126,"endHours":8.795645105538126,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:48","end":"09:48","startHours":8.795645105538126,"endHours":9.795645105538126,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:48","end":"10:48","startHours":9.795645105538126,"endHours":10.795645105538126,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:48","end":"11:48","startHours":10.795645105538126,"endHours":11.795645105538126,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:48","end":"12:48","startHours":11.795645105538126,"endHours":12.795645105538126,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:48","end":"13:48","startHours":12.795645105538126,"endHours":13.795645105538126,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:48","end":"14:48","startHours":13.795645105538126,"endHours":14.795645105538126,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:48","end":"15:48","startHours":14.795645105538126,"endHours":15.795645105538126,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:48","end":"16:48","startHours":15.795645105538126,"endHours":16.795645105538128,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:48","end":"17:48","startHours":16.795645105538128,"endHours":17.795645105538128,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:48","end":"18:48","startHours":17.795645105538128,"endHours":18.795645105538128,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:48","end":"19:48","startHours":18.795645105538128,"endHours":19.795645105538128,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:48","end":"20:48","startHours":19.795645105538128,"endHours":20.795645105538128,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:48","end":"21:48","startHours":20.795645105538128,"endHours":21.795645105538128,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:48","end":"22:48","startHours":21.795645105538128,"endHours":22.795645105538128,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:48","end":"23:48","startHours":22.795645105538128,"endHours":23.795645105538128,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:48","end":"00:48","startHours":23.795645105538128,"endHours":24.795645105538128,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:48","end":"01:48","startHours":24.795645105538128,"endHours":25.795645105538128,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:48","end":"02:48","startHours":25.795645105538128,"endHours":26.795645105538128,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:48","end":"03:48","startHours":26.795645105538128,"endHours":27.795645105538128,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:48","end":"04:48","startHours":27.795645105538128,"endHours":28.795645105538128,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:48","end":"05:48","startHours":28.795645105538128,"endHours":29.795645105538128,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"North-East","rahuVasa":"North-West","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":11.886864728157173,"eotMinutes":-2.7978933159948465,"ayanamsa":24.7559}},"calendars":{"vikram_samvat":2121,"vikram_samvatsara":"Hemalambī","saka_samvat":1986,"saka_samvatsara":"Tāraṇa","bengali_samvat":1471,"malayalam_era":1240,"nanakshahi_year":595,"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 Daśamī · Vikram 2121 Hemalambī · Śaka 1986 Tāraṇa"},"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":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Jyeṣṭhā","url":"/day/-3137-10-20","relevance":0.5}]},"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 21, 2064 CE · Ṛṣikeśa · Vidhyamitra","description":"August 21, 2064 CE for Ṛṣikeśa: Śukla Daśamī, sūryodaya 05:48, sūryāsta 18:52.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2064-08-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2064-08-21","sa":"https://sa.vidhyamitra.com/city/rishikesh/2064-08-21","hi":"https://hi.vidhyamitra.com/city/rishikesh/2064-08-21","x-default":"https://vidhyamitra.com/city/rishikesh/2064-08-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T13:41:44.109Z","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":"2026-05-31T13:41:44.109Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T13:41:44.109Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}