{"id":"vidhyamitra:city-day:phoenix:2104-07-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/2104-07-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2104-07-13","date_display":"July 13, 2104 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":2104,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489723.770833,"kali_year":5206,"ahargana":1901258.2708,"sun":{"sidereal_longitude":84.8741,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":325.6981,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":240.824,"elapsed_within_tithi_degrees":0.824},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2,"moon_longitude":325.6981,"elapsed_within_degrees":5.6981},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":50.5722},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2104,"month":7,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2489723.770833,"ahargana":1901258.2708,"kali_year":5206,"ayanamsa_lahiri":25.3132,"grahas":{"sun":{"sidereal_longitude":85.531001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"moon":{"sidereal_longitude":327.221501,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false,"latitude":4.4711},"mars":{"sidereal_longitude":139.11040100000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":107.27940100000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":305.167101,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":100.41040099999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":221.11120100000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":242.1873,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":62.1873,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","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":2104,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489723.770833,"kali_year":5206,"ahargana":1901258.2708,"sun":{"sidereal_longitude":84.8741,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":325.6981,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":240.824,"elapsed_within_tithi_degrees":0.824},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2,"moon_longitude":325.6981,"elapsed_within_degrees":5.6981},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":50.5722},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.471,"elongation":119.176},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.471,"opposition_distance":60.824}},"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":14.193994355918235,"dayLengthDisplay":"14 Hours 11 Mins 38 Secs","nightLengthDisplay":"9 Hours 48 Mins 22 Secs","moonriseLocal":"22:45","moonsetLocal":"10:35","rahuKala":{"name":"Rāhu Kāla","start":"17:53","end":"19:39","startHours":17.883705030905347,"endHours":19.657954325395128,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:34","end":"14:20","startHours":12.56095714743601,"endHours":14.335206441925788,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"16:07","end":"17:53","startHours":16.10945573641557,"endHours":17.883705030905347,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:47","end":"09:15","startHours":8.775891985857813,"endHours":9.249025131055088,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:03","end":"06:26","startHours":6.0553764009734845,"endHours":6.433882917131304,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:05","end":"13:02","startHours":12.087824002238735,"endHours":13.034090292633286,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:34","end":"04:31","startHours":3.571427388687794,"endHours":4.517693679082343,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:17","end":"05:28","startHours":4.281127106483705,"endHours":5.463959969476892,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:56","end":"15:52","startHours":14.926622873422382,"endHours":15.87288916381693,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:27","end":"19:51","startHours":19.45795432539513,"endHours":19.857954325395127,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:39","end":"20:15","startHours":19.657954325395128,"endHours":20.24937075689172,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:24","end":"21:09","startHours":19.407954325395128,"endHours":21.157954325395128,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:05","end":"01:02","startHours":24.087824002238737,"endHours":25.034090292633284,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:28","end":"07:14","startHours":5.463959969476892,"endHours":7.238209263966671,"quality":"inauspicious"},{"name":"Chala","start":"07:14","end":"09:01","startHours":7.238209263966671,"endHours":9.012458558456451,"quality":"neutral"},{"name":"Labha","start":"09:01","end":"10:47","startHours":9.012458558456451,"endHours":10.786707852946229,"quality":"auspicious"},{"name":"Amṛta","start":"10:47","end":"12:34","startHours":10.786707852946229,"endHours":12.56095714743601,"quality":"auspicious"},{"name":"Kāla","start":"12:34","end":"14:20","startHours":12.56095714743601,"endHours":14.335206441925788,"quality":"inauspicious"},{"name":"Śubha","start":"14:20","end":"16:07","startHours":14.335206441925788,"endHours":16.10945573641557,"quality":"auspicious"},{"name":"Roga","start":"16:07","end":"17:53","startHours":16.10945573641557,"endHours":17.883705030905347,"quality":"inauspicious"},{"name":"Udveg","start":"17:53","end":"19:39","startHours":17.883705030905347,"endHours":19.657954325395128,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"19:39","end":"20:53","startHours":19.657954325395128,"endHours":20.883705030905347,"quality":"auspicious"},{"name":"Roga","start":"20:53","end":"22:07","startHours":20.883705030905347,"endHours":22.10945573641557,"quality":"inauspicious"},{"name":"Udveg","start":"22:07","end":"23:20","startHours":22.10945573641557,"endHours":23.33520644192579,"quality":"inauspicious"},{"name":"Chala","start":"23:20","end":"00:34","startHours":23.33520644192579,"endHours":24.56095714743601,"quality":"neutral"},{"name":"Labha","start":"00:34","end":"01:47","startHours":24.56095714743601,"endHours":25.78670785294623,"quality":"auspicious"},{"name":"Amṛta","start":"01:47","end":"03:01","startHours":25.78670785294623,"endHours":27.01245855845645,"quality":"auspicious"},{"name":"Kāla","start":"03:01","end":"04:14","startHours":27.01245855845645,"endHours":28.238209263966674,"quality":"inauspicious"},{"name":"Śubha","start":"04:14","end":"05:28","startHours":28.238209263966674,"endHours":29.463959969476893,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:28","end":"06:28","startHours":5.463959969476892,"endHours":6.463959969476892,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:28","end":"07:28","startHours":6.463959969476892,"endHours":7.463959969476892,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:28","end":"08:28","startHours":7.463959969476892,"endHours":8.463959969476893,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:28","end":"09:28","startHours":8.463959969476893,"endHours":9.463959969476893,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:28","end":"10:28","startHours":9.463959969476893,"endHours":10.463959969476893,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:28","end":"11:28","startHours":10.463959969476893,"endHours":11.463959969476893,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:28","end":"12:28","startHours":11.463959969476893,"endHours":12.463959969476893,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:28","end":"13:28","startHours":12.463959969476893,"endHours":13.463959969476893,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:28","end":"14:28","startHours":13.463959969476893,"endHours":14.463959969476893,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:28","end":"15:28","startHours":14.463959969476893,"endHours":15.463959969476893,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:28","end":"16:28","startHours":15.463959969476893,"endHours":16.463959969476893,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:28","end":"17:28","startHours":16.463959969476893,"endHours":17.463959969476893,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:28","end":"18:28","startHours":17.463959969476893,"endHours":18.463959969476893,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:28","end":"19:28","startHours":18.463959969476893,"endHours":19.463959969476893,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:28","end":"20:28","startHours":19.463959969476893,"endHours":20.463959969476893,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:28","end":"21:28","startHours":20.463959969476893,"endHours":21.463959969476893,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:28","end":"22:28","startHours":21.463959969476893,"endHours":22.463959969476893,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:28","end":"23:28","startHours":22.463959969476893,"endHours":23.463959969476893,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:28","end":"00:28","startHours":23.463959969476893,"endHours":24.463959969476893,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:28","end":"01:28","startHours":24.463959969476893,"endHours":25.463959969476893,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:28","end":"02:28","startHours":25.463959969476893,"endHours":26.463959969476893,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:28","end":"03:28","startHours":26.463959969476893,"endHours":27.463959969476893,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:28","end":"04:28","startHours":27.463959969476893,"endHours":28.463959969476893,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:28","end":"05:28","startHours":28.463959969476893,"endHours":29.463959969476893,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Rākṣasa","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":21.820588332175483,"eotMinutes":-5.361428846160681,"ayanamsa":25.3132}},"calendars":{"vikram_samvat":2161,"vikram_samvatsara":"Īśvara","saka_samvat":2026,"saka_samvatsara":"Raktākṣī","bengali_samvat":1511,"malayalam_era":1280,"nanakshahi_year":635,"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 Ṣaṣṭhī · Vikram 2161 Īśvara · Śaka 2026 Raktākṣī"},"festivals":[],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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, 2104 CE · Phoenix, USA · Vidhyamitra","description":"July 13, 2104 CE for Phoenix, USA: Kṛṣṇa Ṣaṣṭhī, sūryodaya 05:28, sūryāsta 19:39.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/2104-07-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/2104-07-13","sa":"https://sa.vidhyamitra.com/city/phoenix/2104-07-13","hi":"https://hi.vidhyamitra.com/city/phoenix/2104-07-13","x-default":"https://vidhyamitra.com/city/phoenix/2104-07-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T10:29:26.484Z","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":"2026-05-31T10:29:26.484Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T10:29:26.484Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}