{"id":"vidhyamitra:city-day:rishikesh:2023-07-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2023-07-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2023-07-13","date_display":"July 13, 2023 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":2023,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2460138.770833,"kali_year":5125,"ahargana":1871673.2708,"sun":{"sidereal_longitude":85.7824,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":30.2566,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":304.4742,"elapsed_within_tithi_degrees":4.4742},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2,"moon_longitude":30.2566,"elapsed_within_degrees":3.5899},"yoga":{"number":9,"name":"Śūla","sum_longitude":116.039},"karana":{"half_tithi_index":50,"name":"Bava"},"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":2023,"month":7,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2460138.770833,"ahargana":1871673.2708,"kali_year":5125,"ayanamsa_lahiri":24.1817,"grahas":{"sun":{"sidereal_longitude":86.250565,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"moon":{"sidereal_longitude":32.32406500000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false,"latitude":1.5755},"mars":{"sidereal_longitude":127.04596500000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":99.12286499999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":17.07976500000001,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":122.265265,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":true},"saturn":{"sidereal_longitude":312.58926500000007,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":9.743,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":189.743,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"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":2023,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2460138.770833,"kali_year":5125,"ahargana":1871673.2708,"sun":{"sidereal_longitude":85.7824,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":30.2566,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":304.4742,"elapsed_within_tithi_degrees":4.4742},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2,"moon_longitude":30.2566,"elapsed_within_degrees":3.5899},"yoga":{"number":9,"name":"Śūla","sum_longitude":116.039},"karana":{"half_tithi_index":50,"name":"Bava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.576,"elongation":55.526},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.576,"opposition_distance":124.474}},"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":"05:24","sunsetLocal":"19:20","solarNoonLocal":"12:22","dayLengthHours":13.936738456154096,"dayLengthDisplay":"13 Hours 56 Mins 12 Secs","nightLengthDisplay":"10 Hours 03 Mins 48 Secs","moonriseLocal":"01:57","moonsetLocal":"15:37","rahuKala":{"name":"Rāhu Kāla","start":"14:07","end":"15:51","startHours":14.113609454455275,"endHours":15.855701761474538,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:24","end":"07:09","startHours":5.4031479193589655,"endHours":7.1452402263782275,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:53","end":"10:38","startHours":8.88733253339749,"endHours":10.629424840416752,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:39","end":"09:07","startHours":8.655053559128255,"endHours":9.119611507666725,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:59","end":"06:21","startHours":5.983845355032053,"endHours":6.355491713862829,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:50","startHours":11.906959198897543,"endHours":12.836075095974483,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:33","end":"04:28","startHours":3.544916125205086,"endHours":4.474032022282026,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:15","end":"05:24","startHours":4.241753048012791,"endHours":5.4031479193589655,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.694306890128363,"endHours":15.623422787205303,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:08","end":"19:32","startHours":19.13988637551306,"endHours":19.53988637551306,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:20","end":"19:55","startHours":19.33988637551306,"endHours":19.920583811186148,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:05","end":"20:50","startHours":19.08988637551306,"endHours":20.83988637551306,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:50","startHours":23.906959198897543,"endHours":24.836075095974483,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:24","end":"07:09","startHours":5.4031479193589655,"endHours":7.1452402263782275,"quality":"auspicious"},{"name":"Roga","start":"07:09","end":"08:53","startHours":7.1452402263782275,"endHours":8.88733253339749,"quality":"inauspicious"},{"name":"Udveg","start":"08:53","end":"10:38","startHours":8.88733253339749,"endHours":10.629424840416752,"quality":"inauspicious"},{"name":"Chala","start":"10:38","end":"12:22","startHours":10.629424840416752,"endHours":12.371517147436013,"quality":"neutral"},{"name":"Labha","start":"12:22","end":"14:07","startHours":12.371517147436013,"endHours":14.113609454455275,"quality":"auspicious"},{"name":"Amṛta","start":"14:07","end":"15:51","startHours":14.113609454455275,"endHours":15.855701761474538,"quality":"auspicious"},{"name":"Kāla","start":"15:51","end":"17:36","startHours":15.855701761474538,"endHours":17.597794068493798,"quality":"inauspicious"},{"name":"Śubha","start":"17:36","end":"19:20","startHours":17.597794068493798,"endHours":19.33988637551306,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"19:20","end":"20:36","startHours":19.33988637551306,"endHours":20.597794068493798,"quality":"auspicious"},{"name":"Kāla","start":"20:36","end":"21:51","startHours":20.597794068493798,"endHours":21.855701761474535,"quality":"inauspicious"},{"name":"Śubha","start":"21:51","end":"23:07","startHours":21.855701761474535,"endHours":23.113609454455275,"quality":"auspicious"},{"name":"Roga","start":"23:07","end":"00:22","startHours":23.113609454455275,"endHours":24.371517147436013,"quality":"inauspicious"},{"name":"Udveg","start":"00:22","end":"01:38","startHours":24.371517147436013,"endHours":25.62942484041675,"quality":"inauspicious"},{"name":"Chala","start":"01:38","end":"02:53","startHours":25.62942484041675,"endHours":26.88733253339749,"quality":"neutral"},{"name":"Labha","start":"02:53","end":"04:09","startHours":26.88733253339749,"endHours":28.145240226378228,"quality":"auspicious"},{"name":"Amṛta","start":"04:09","end":"05:24","startHours":28.145240226378228,"endHours":29.403147919358965,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:24","end":"06:24","startHours":5.4031479193589655,"endHours":6.4031479193589655,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:24","end":"07:24","startHours":6.4031479193589655,"endHours":7.4031479193589655,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:24","end":"08:24","startHours":7.4031479193589655,"endHours":8.403147919358965,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:24","end":"09:24","startHours":8.403147919358965,"endHours":9.403147919358965,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:24","end":"10:24","startHours":9.403147919358965,"endHours":10.403147919358965,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:24","end":"11:24","startHours":10.403147919358965,"endHours":11.403147919358965,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:24","end":"12:24","startHours":11.403147919358965,"endHours":12.403147919358965,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:24","end":"13:24","startHours":12.403147919358965,"endHours":13.403147919358965,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:24","end":"14:24","startHours":13.403147919358965,"endHours":14.403147919358965,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:24","end":"15:24","startHours":14.403147919358965,"endHours":15.403147919358965,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:24","end":"16:24","startHours":15.403147919358965,"endHours":16.403147919358965,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:24","end":"17:24","startHours":16.403147919358965,"endHours":17.403147919358965,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:24","end":"18:24","startHours":17.403147919358965,"endHours":18.403147919358965,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:24","end":"19:24","startHours":18.403147919358965,"endHours":19.403147919358965,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:24","end":"20:24","startHours":19.403147919358965,"endHours":20.403147919358965,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:24","end":"21:24","startHours":20.403147919358965,"endHours":21.403147919358965,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:24","end":"22:24","startHours":21.403147919358965,"endHours":22.403147919358965,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:24","end":"23:24","startHours":22.403147919358965,"endHours":23.403147919358965,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:24","end":"00:24","startHours":23.403147919358965,"endHours":24.403147919358965,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:24","end":"01:24","startHours":24.403147919358965,"endHours":25.403147919358965,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:24","end":"02:24","startHours":25.403147919358965,"endHours":26.403147919358965,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:24","end":"03:24","startHours":26.403147919358965,"endHours":27.403147919358965,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:24","end":"04:24","startHours":27.403147919358965,"endHours":28.403147919358965,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:24","end":"05:24","startHours":28.403147919358965,"endHours":29.403147919358965,"planetary_lord":"Moon"}],"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":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","anandadiYoga":{"name":"Siddhi","quality":"Auspicious"},"drikRitu":"Grīṣma (Summer) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":21.88280675537059,"eotMinutes":-5.361428846160681,"ayanamsa":24.1817}},"calendars":{"vikram_samvat":2080,"vikram_samvatsara":"Nala","saka_samvat":1945,"saka_samvatsara":"Śobhana","bengali_samvat":1430,"malayalam_era":1199,"nanakshahi_year":554,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Ekādaśī · Vikram 2080 Nala · Śaka 1945 Śobhana"},"festivals":[{"id":"kamika-ekadashi","name":"Kāmikā Ekādaśī","name_sanskrit":"कामिका एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"First Ekādaśī of Cāturmāsya; equivalent to gift of cow + svarṇa.","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","lunar_month":"Āṣāḍha"},"precedence":4},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5},{"id":"mithuna-sankranti","name":"Mithuna Saṅkrānti","name_sanskrit":"मिथुन सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Gemini.","vrata":false,"detection":{"sun_rashi":"Mithuna"},"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":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","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 July 13, 2023 CE · Ṛṣikeśa · Vidhyamitra","description":"July 13, 2023 CE for Ṛṣikeśa: Kṛṣṇa Ekādaśī, sūryodaya 05:24, sūryāsta 19:20.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2023-07-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2023-07-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/2023-07-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/2023-07-13","x-default":"https://vidhyamitra.com/city/rishikesh/2023-07-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T01:03:46.990Z","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":"2026-05-15T01:03:46.990Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T01:03:46.990Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}