{"id":"vidhyamitra:city-day:phoenix:2023-07-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/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":"phoenix","name":"Phoenix, USA","lat":33.4484,"lon":-112.074,"tz_offset_hours":-7,"country":"US","tier":"diaspora"},"tier2":{"city":{"slug":"phoenix","name":"Phoenix, USA","lat":33.4484,"lon":-112.074,"tz_offset_hours":-7,"country":"US","tier":"diaspora"},"sunriseLocal":"05:28","sunsetLocal":"19:40","solarNoonLocal":"12:34","dayLengthHours":14.200693434302991,"dayLengthDisplay":"14 Hours 12 Mins 02 Secs","nightLengthDisplay":"9 Hours 47 Mins 58 Secs","moonriseLocal":"02:01","moonsetLocal":"15:55","rahuKala":{"name":"Rāhu Kāla","start":"14:20","end":"16:07","startHours":14.336043826723884,"endHours":16.111130506011758,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:28","end":"07:14","startHours":5.460610430284514,"endHours":7.235697109572388,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:01","end":"10:47","startHours":9.010783788860262,"endHours":10.785870468148136,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:46","end":"09:15","startHours":8.774105564955212,"endHours":9.247462012765311,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:03","end":"06:26","startHours":6.052305990047138,"endHours":6.430991148295218,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:05","end":"13:02","startHours":12.087600699625911,"endHours":13.03431359524611,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:34","end":"04:31","startHours":3.5671846390441146,"endHours":4.513897534664315,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:17","end":"05:28","startHours":4.277219310759264,"endHours":5.460610430284514,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:56","end":"15:52","startHours":14.927739386486508,"endHours":15.874452282106708,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:28","end":"19:52","startHours":19.461303864587506,"endHours":19.861303864587505,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:40","end":"20:15","startHours":19.661303864587506,"endHours":20.25299942435013,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:25","end":"21:10","startHours":19.411303864587506,"endHours":21.161303864587506,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:05","end":"01:02","startHours":24.08760069962591,"endHours":25.03431359524611,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:28","end":"07:14","startHours":5.460610430284514,"endHours":7.235697109572388,"quality":"auspicious"},{"name":"Roga","start":"07:14","end":"09:01","startHours":7.235697109572388,"endHours":9.010783788860262,"quality":"inauspicious"},{"name":"Udveg","start":"09:01","end":"10:47","startHours":9.010783788860262,"endHours":10.785870468148136,"quality":"inauspicious"},{"name":"Chala","start":"10:47","end":"12:34","startHours":10.785870468148136,"endHours":12.56095714743601,"quality":"neutral"},{"name":"Labha","start":"12:34","end":"14:20","startHours":12.56095714743601,"endHours":14.336043826723884,"quality":"auspicious"},{"name":"Amṛta","start":"14:20","end":"16:07","startHours":14.336043826723884,"endHours":16.111130506011758,"quality":"auspicious"},{"name":"Kāla","start":"16:07","end":"17:53","startHours":16.111130506011758,"endHours":17.886217185299632,"quality":"inauspicious"},{"name":"Śubha","start":"17:53","end":"19:40","startHours":17.886217185299632,"endHours":19.661303864587506,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"19:40","end":"20:53","startHours":19.661303864587506,"endHours":20.886217185299632,"quality":"auspicious"},{"name":"Kāla","start":"20:53","end":"22:07","startHours":20.886217185299632,"endHours":22.111130506011758,"quality":"inauspicious"},{"name":"Śubha","start":"22:07","end":"23:20","startHours":22.111130506011758,"endHours":23.336043826723884,"quality":"auspicious"},{"name":"Roga","start":"23:20","end":"00:34","startHours":23.336043826723884,"endHours":24.56095714743601,"quality":"inauspicious"},{"name":"Udveg","start":"00:34","end":"01:47","startHours":24.56095714743601,"endHours":25.785870468148136,"quality":"inauspicious"},{"name":"Chala","start":"01:47","end":"03:01","startHours":25.785870468148136,"endHours":27.010783788860262,"quality":"neutral"},{"name":"Labha","start":"03:01","end":"04:14","startHours":27.010783788860262,"endHours":28.23569710957239,"quality":"auspicious"},{"name":"Amṛta","start":"04:14","end":"05:28","startHours":28.23569710957239,"endHours":29.460610430284515,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:28","end":"06:28","startHours":5.460610430284514,"endHours":6.460610430284514,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:28","end":"07:28","startHours":6.460610430284514,"endHours":7.460610430284514,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:28","end":"08:28","startHours":7.460610430284514,"endHours":8.460610430284515,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:28","end":"09:28","startHours":8.460610430284515,"endHours":9.460610430284515,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:28","end":"10:28","startHours":9.460610430284515,"endHours":10.460610430284515,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:28","end":"11:28","startHours":10.460610430284515,"endHours":11.460610430284515,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:28","end":"12:28","startHours":11.460610430284515,"endHours":12.460610430284515,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:28","end":"13:28","startHours":12.460610430284515,"endHours":13.460610430284515,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:28","end":"14:28","startHours":13.460610430284515,"endHours":14.460610430284515,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:28","end":"15:28","startHours":14.460610430284515,"endHours":15.460610430284515,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:28","end":"16:28","startHours":15.460610430284515,"endHours":16.460610430284515,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:28","end":"17:28","startHours":16.460610430284515,"endHours":17.460610430284515,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:28","end":"18:28","startHours":17.460610430284515,"endHours":18.460610430284515,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:28","end":"19:28","startHours":18.460610430284515,"endHours":19.460610430284515,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:28","end":"20:28","startHours":19.460610430284515,"endHours":20.460610430284515,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:28","end":"21:28","startHours":20.460610430284515,"endHours":21.460610430284515,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:28","end":"22:28","startHours":21.460610430284515,"endHours":22.460610430284515,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:28","end":"23:28","startHours":22.460610430284515,"endHours":23.460610430284515,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:28","end":"00:28","startHours":23.460610430284515,"endHours":24.460610430284515,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:28","end":"01:28","startHours":24.460610430284515,"endHours":25.460610430284515,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:28","end":"02:28","startHours":25.460610430284515,"endHours":26.460610430284515,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:28","end":"03:28","startHours":26.460610430284515,"endHours":27.460610430284515,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:28","end":"04:28","startHours":27.460610430284515,"endHours":28.460610430284515,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:28","end":"05:28","startHours":28.460610430284515,"endHours":29.460610430284515,"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":"phoenix"},"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 · Phoenix, USA · Vidhyamitra","description":"July 13, 2023 CE for Phoenix, USA: Kṛṣṇa Ekādaśī, sūryodaya 05:28, sūryāsta 19:40.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/2023-07-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/2023-07-13","sa":"https://sa.vidhyamitra.com/city/phoenix/2023-07-13","hi":"https://hi.vidhyamitra.com/city/phoenix/2023-07-13","x-default":"https://vidhyamitra.com/city/phoenix/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":"2026-05-14T15:21:16.142Z","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":"2026-05-14T15:21:16.142Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T15:21:16.142Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}