{"id":"vidhyamitra:city-day:phoenix:2120-07-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/2120-07-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2120-07-13","date_display":"July 13, 2120 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":2120,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495567.770833,"kali_year":5222,"ahargana":1907102.2708,"sun":{"sidereal_longitude":84.7415,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":290.8749,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":206.1335,"elapsed_within_tithi_degrees":2.1335},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4,"moon_longitude":290.8749,"elapsed_within_degrees":10.8749},"yoga":{"number":2,"name":"Prīti","sum_longitude":15.6164},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2120,"month":7,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2495567.770833,"ahargana":1907102.2708,"kali_year":5222,"ayanamsa_lahiri":25.5367,"grahas":{"sun":{"sidereal_longitude":85.43591700000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"moon":{"sidereal_longitude":293.738417,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false,"latitude":-0.1309},"mars":{"sidereal_longitude":38.153516999999965,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":67.53351700000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":73.932617,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":101.27381700000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":60.531116999999995,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":292.5441,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":112.5441,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":2120,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495567.770833,"kali_year":5222,"ahargana":1907102.2708,"sun":{"sidereal_longitude":84.7415,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":290.8749,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":206.1335,"elapsed_within_tithi_degrees":2.1335},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4,"moon_longitude":290.8749,"elapsed_within_degrees":10.8749},"yoga":{"number":2,"name":"Prīti","sum_longitude":15.6164},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.131,"elongation":153.867},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.131,"opposition_distance":26.133}},"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":"19:39","solarNoonLocal":"12:34","dayLengthHours":14.191882084929205,"dayLengthDisplay":"14 Hours 11 Mins 31 Secs","nightLengthDisplay":"9 Hours 48 Mins 29 Secs","moonriseLocal":"21:05","moonsetLocal":"07:49","rahuKala":{"name":"Rāhu Kāla","start":"09:01","end":"10:47","startHours":9.012986626203709,"endHours":10.78697188681986,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:20","end":"16:07","startHours":14.33494240805216,"endHours":16.10892766866831,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:28","end":"07:14","startHours":5.465016104971408,"endHours":7.2390013655875585,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:47","end":"09:15","startHours":8.776455258121555,"endHours":9.249517994285863,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:03","end":"06:26","startHours":6.056344525176791,"endHours":6.434794714108237,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:05","end":"13:02","startHours":12.087894411271703,"endHours":13.034019883600317,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:34","end":"04:31","startHours":3.5727651603141806,"endHours":4.518890632642794,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:17","end":"05:28","startHours":4.2823592645606405,"endHours":5.465016104971408,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:56","end":"15:52","startHours":14.926270828257545,"endHours":15.872396300586159,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:27","end":"19:51","startHours":19.456898189900613,"endHours":19.856898189900612,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:39","end":"20:15","startHours":19.656898189900613,"endHours":20.248226610105995,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:24","end":"21:09","startHours":19.406898189900613,"endHours":21.156898189900613,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:05","end":"01:02","startHours":24.087894411271705,"endHours":25.034019883600315,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:28","end":"07:14","startHours":5.465016104971408,"endHours":7.2390013655875585,"quality":"inauspicious"},{"name":"Śubha","start":"07:14","end":"09:01","startHours":7.2390013655875585,"endHours":9.012986626203709,"quality":"auspicious"},{"name":"Roga","start":"09:01","end":"10:47","startHours":9.012986626203709,"endHours":10.78697188681986,"quality":"inauspicious"},{"name":"Udveg","start":"10:47","end":"12:34","startHours":10.78697188681986,"endHours":12.56095714743601,"quality":"inauspicious"},{"name":"Chala","start":"12:34","end":"14:20","startHours":12.56095714743601,"endHours":14.33494240805216,"quality":"neutral"},{"name":"Labha","start":"14:20","end":"16:07","startHours":14.33494240805216,"endHours":16.10892766866831,"quality":"auspicious"},{"name":"Amṛta","start":"16:07","end":"17:53","startHours":16.10892766866831,"endHours":17.882912929284462,"quality":"auspicious"},{"name":"Kāla","start":"17:53","end":"19:39","startHours":17.882912929284462,"endHours":19.656898189900613,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:39","end":"20:53","startHours":19.656898189900613,"endHours":20.882912929284462,"quality":"auspicious"},{"name":"Amṛta","start":"20:53","end":"22:07","startHours":20.882912929284462,"endHours":22.10892766866831,"quality":"auspicious"},{"name":"Kāla","start":"22:07","end":"23:20","startHours":22.10892766866831,"endHours":23.33494240805216,"quality":"inauspicious"},{"name":"Śubha","start":"23:20","end":"00:34","startHours":23.33494240805216,"endHours":24.56095714743601,"quality":"auspicious"},{"name":"Roga","start":"00:34","end":"01:47","startHours":24.56095714743601,"endHours":25.78697188681986,"quality":"inauspicious"},{"name":"Udveg","start":"01:47","end":"03:01","startHours":25.78697188681986,"endHours":27.01298662620371,"quality":"inauspicious"},{"name":"Chala","start":"03:01","end":"04:14","startHours":27.01298662620371,"endHours":28.23900136558756,"quality":"neutral"},{"name":"Labha","start":"04:14","end":"05:28","startHours":28.23900136558756,"endHours":29.465016104971408,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:28","end":"06:28","startHours":5.465016104971408,"endHours":6.465016104971408,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:28","end":"07:28","startHours":6.465016104971408,"endHours":7.465016104971408,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:28","end":"08:28","startHours":7.465016104971408,"endHours":8.465016104971408,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:28","end":"09:28","startHours":8.465016104971408,"endHours":9.465016104971408,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:28","end":"10:28","startHours":9.465016104971408,"endHours":10.465016104971408,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:28","end":"11:28","startHours":10.465016104971408,"endHours":11.465016104971408,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:28","end":"12:28","startHours":11.465016104971408,"endHours":12.465016104971408,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:28","end":"13:28","startHours":12.465016104971408,"endHours":13.465016104971408,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:28","end":"14:28","startHours":13.465016104971408,"endHours":14.465016104971408,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:28","end":"15:28","startHours":14.465016104971408,"endHours":15.465016104971408,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:28","end":"16:28","startHours":15.465016104971408,"endHours":16.465016104971408,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:28","end":"17:28","startHours":16.465016104971408,"endHours":17.465016104971408,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:28","end":"18:28","startHours":17.465016104971408,"endHours":18.465016104971408,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:28","end":"19:28","startHours":18.465016104971408,"endHours":19.465016104971408,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:28","end":"20:28","startHours":19.465016104971408,"endHours":20.465016104971408,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:28","end":"21:28","startHours":20.465016104971408,"endHours":21.465016104971408,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:28","end":"22:28","startHours":21.465016104971408,"endHours":22.465016104971408,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:28","end":"23:28","startHours":22.465016104971408,"endHours":23.465016104971408,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:28","end":"00:28","startHours":23.465016104971408,"endHours":24.465016104971408,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:28","end":"01:28","startHours":24.465016104971408,"endHours":25.465016104971408,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:28","end":"02:28","startHours":25.465016104971408,"endHours":26.465016104971408,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:28","end":"03:28","startHours":26.465016104971408,"endHours":27.465016104971408,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:28","end":"04:28","startHours":27.465016104971408,"endHours":28.465016104971408,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:28","end":"05:28","startHours":28.465016104971408,"endHours":29.465016104971408,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"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":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"East","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":21.800955465089217,"eotMinutes":-5.361428846160681,"ayanamsa":25.5367}},"calendars":{"vikram_samvat":2177,"vikram_samvatsara":"Vijaya","saka_samvat":2042,"saka_samvatsara":"Vikrama","bengali_samvat":1527,"malayalam_era":1296,"nanakshahi_year":651,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mithuna (Āni)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Tṛtīyā · Vikram 2177 Vijaya · Śaka 2042 Vikrama"},"festivals":[],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[]},"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, 2120 CE · Phoenix, USA · Vidhyamitra","description":"July 13, 2120 CE for Phoenix, USA: Kṛṣṇa Tṛtīyā, sūryodaya 05:28, sūryāsta 19:39.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/2120-07-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/2120-07-13","sa":"https://sa.vidhyamitra.com/city/phoenix/2120-07-13","hi":"https://hi.vidhyamitra.com/city/phoenix/2120-07-13","x-default":"https://vidhyamitra.com/city/phoenix/2120-07-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T08:36:00.991Z","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":"2026-06-01T08:36:00.991Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T08:36:00.991Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}