{"id":"vidhyamitra:city-day:rishikesh:2064-08-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2064-08-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2064-08-13","date_display":"August 13, 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":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2475145.770833,"kali_year":5166,"ahargana":1886680.2708,"sun":{"sidereal_longitude":115.6046,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":118.2481,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":2.6436,"elapsed_within_tithi_degrees":2.6436},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4,"moon_longitude":118.2481,"elapsed_within_degrees":11.5815},"yoga":{"number":18,"name":"Varīyān","sum_longitude":233.8527},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2475145.770833,"ahargana":1886680.2708,"kali_year":5166,"ayanamsa_lahiri":24.7556,"grahas":{"sun":{"sidereal_longitude":116.36258699999996,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":120.35128700000001,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false,"latitude":-0.286},"mars":{"sidereal_longitude":108.00548700000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":109.17398700000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":163.17838700000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"venus":{"sidereal_longitude":137.395287,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":100.47878700000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":294.5999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":114.5999,"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":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2475145.770833,"kali_year":5166,"ahargana":1886680.2708,"sun":{"sidereal_longitude":115.6046,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":118.2481,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":2.6436,"elapsed_within_tithi_degrees":2.6436},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4,"moon_longitude":118.2481,"elapsed_within_degrees":11.5815},"yoga":{"number":18,"name":"Varīyān","sum_longitude":233.8527},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":true,"moon_latitude":-0.286,"elongation":2.644},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.286,"opposition_distance":177.356}},"eclipse_window_40days":[{"offset_days":-16,"type":"lunar","occurs":true,"moon_latitude":-1.293,"opposition_distance":1.645},{"offset_days":0,"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":"05:43","sunsetLocal":"19:00","solarNoonLocal":"12:21","dayLengthHours":13.279700418553055,"dayLengthDisplay":"13 Hours 16 Mins 47 Secs","nightLengthDisplay":"10 Hours 43 Mins 13 Secs","moonriseLocal":"06:04","moonsetLocal":"19:11","rahuKala":{"name":"Rāhu Kāla","start":"12:21","end":"14:01","startHours":12.358185345636926,"endHours":14.018147897956059,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:23","end":"09:02","startHours":7.378297688679529,"endHours":9.03826024099866,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:42","end":"12:21","startHours":10.698222793317793,"endHours":12.358185345636926,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:49","end":"09:16","startHours":8.816931900689443,"endHours":9.259588581307879,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:16","end":"06:38","startHours":6.271655987133442,"endHours":6.62578133162819,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:48","startHours":11.91552866501849,"endHours":12.800842026255362,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:57","end":"04:50","startHours":3.947708413886657,"endHours":4.833021775123527,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:37","end":"05:43","startHours":4.61169343481431,"endHours":5.718335136360397,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:34","end":"15:27","startHours":14.5714687487291,"endHours":15.45678210996597,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:48","end":"19:12","startHours":18.798035554913454,"endHours":19.198035554913453,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:00","end":"19:33","startHours":18.998035554913454,"endHours":19.551356405686498,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:45","end":"20:30","startHours":18.748035554913454,"endHours":20.498035554913454,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:48","startHours":23.915528665018492,"endHours":24.80084202625536,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:43","end":"07:23","startHours":5.718335136360397,"endHours":7.378297688679529,"quality":"auspicious"},{"name":"Amṛta","start":"07:23","end":"09:02","startHours":7.378297688679529,"endHours":9.03826024099866,"quality":"auspicious"},{"name":"Kāla","start":"09:02","end":"10:42","startHours":9.03826024099866,"endHours":10.698222793317793,"quality":"inauspicious"},{"name":"Śubha","start":"10:42","end":"12:21","startHours":10.698222793317793,"endHours":12.358185345636926,"quality":"auspicious"},{"name":"Roga","start":"12:21","end":"14:01","startHours":12.358185345636926,"endHours":14.018147897956059,"quality":"inauspicious"},{"name":"Udveg","start":"14:01","end":"15:41","startHours":14.018147897956059,"endHours":15.678110450275188,"quality":"inauspicious"},{"name":"Chala","start":"15:41","end":"17:20","startHours":15.678110450275188,"endHours":17.33807300259432,"quality":"neutral"},{"name":"Labha","start":"17:20","end":"19:00","startHours":17.33807300259432,"endHours":18.998035554913454,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:00","end":"20:20","startHours":18.998035554913454,"endHours":20.33807300259432,"quality":"inauspicious"},{"name":"Chala","start":"20:20","end":"21:41","startHours":20.33807300259432,"endHours":21.67811045027519,"quality":"neutral"},{"name":"Labha","start":"21:41","end":"23:01","startHours":21.67811045027519,"endHours":23.01814789795606,"quality":"auspicious"},{"name":"Amṛta","start":"23:01","end":"00:21","startHours":23.01814789795606,"endHours":24.358185345636926,"quality":"auspicious"},{"name":"Kāla","start":"00:21","end":"01:42","startHours":24.358185345636926,"endHours":25.698222793317793,"quality":"inauspicious"},{"name":"Śubha","start":"01:42","end":"03:02","startHours":25.698222793317793,"endHours":27.03826024099866,"quality":"auspicious"},{"name":"Roga","start":"03:02","end":"04:23","startHours":27.03826024099866,"endHours":28.37829768867953,"quality":"inauspicious"},{"name":"Udveg","start":"04:23","end":"05:43","startHours":28.37829768867953,"endHours":29.7183351363604,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:43","end":"06:43","startHours":5.718335136360397,"endHours":6.718335136360397,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:43","end":"07:43","startHours":6.718335136360397,"endHours":7.718335136360397,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:43","end":"08:43","startHours":7.718335136360397,"endHours":8.718335136360398,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:43","end":"09:43","startHours":8.718335136360398,"endHours":9.718335136360398,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:43","end":"10:43","startHours":9.718335136360398,"endHours":10.718335136360398,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:43","end":"11:43","startHours":10.718335136360398,"endHours":11.718335136360398,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:43","end":"12:43","startHours":11.718335136360398,"endHours":12.718335136360398,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:43","end":"13:43","startHours":12.718335136360398,"endHours":13.718335136360398,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:43","end":"14:43","startHours":13.718335136360398,"endHours":14.718335136360398,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:43","end":"15:43","startHours":14.718335136360398,"endHours":15.718335136360398,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:43","end":"16:43","startHours":15.718335136360398,"endHours":16.7183351363604,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:43","end":"17:43","startHours":16.7183351363604,"endHours":17.7183351363604,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:43","end":"18:43","startHours":17.7183351363604,"endHours":18.7183351363604,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:43","end":"19:43","startHours":18.7183351363604,"endHours":19.7183351363604,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:43","end":"20:43","startHours":19.7183351363604,"endHours":20.7183351363604,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:43","end":"21:43","startHours":20.7183351363604,"endHours":21.7183351363604,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:43","end":"22:43","startHours":21.7183351363604,"endHours":22.7183351363604,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:43","end":"23:43","startHours":22.7183351363604,"endHours":23.7183351363604,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:43","end":"00:43","startHours":23.7183351363604,"endHours":24.7183351363604,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:43","end":"01:43","startHours":24.7183351363604,"endHours":25.7183351363604,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:43","end":"02:43","startHours":25.7183351363604,"endHours":26.7183351363604,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:43","end":"03:43","startHours":26.7183351363604,"endHours":27.7183351363604,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:43","end":"04:43","startHours":27.7183351363604,"endHours":28.7183351363604,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:43","end":"05:43","startHours":28.7183351363604,"endHours":29.7183351363604,"planetary_lord":"Sun"}],"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":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"West","rahuVasa":"South-West","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":14.457572768143079,"eotMinutes":-4.561520738215509,"ayanamsa":24.7556}},"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","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Pratipada · Vikram 2121 Hemalambī · Śaka 1986 Tāraṇa"},"festivals":[{"id":"karka-sankranti","name":"Karka Saṅkrānti (Dakṣiṇāyana)","name_sanskrit":"कर्क सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Cancer; Dakṣiṇāyana (south-going) begins. Devatā-rātri begins.","vrata":true,"detection":{"sun_rashi":"Karka"},"precedence":2}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 13, 2064 CE · Ṛṣikeśa · Vidhyamitra","description":"August 13, 2064 CE for Ṛṣikeśa: Śukla Pratipada, sūryodaya 05:43, sūryāsta 19:00.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2064-08-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2064-08-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/2064-08-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/2064-08-13","x-default":"https://vidhyamitra.com/city/rishikesh/2064-08-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-18T11:35:51.153Z","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":"2026-05-18T11:35:51.153Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-18T11:35:51.153Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}