{"id":"vidhyamitra:city-day:phoenix:2126-07-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/2126-07-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2126-07-13","date_display":"July 13, 2126 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":2126,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2497758.770833,"kali_year":5228,"ahargana":1909293.2708,"sun":{"sidereal_longitude":84.2183,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":359.579,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":275.3606,"elapsed_within_tithi_degrees":11.3606},"nakshatra":{"number":27,"name":"Revatī","pada":4,"moon_longitude":359.579,"elapsed_within_degrees":12.9123},"yoga":{"number":7,"name":"Sukarma","sum_longitude":83.7973},"karana":{"half_tithi_index":45,"name":"Kaulava"},"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":2126,"month":7,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2497758.770833,"ahargana":1909293.2708,"kali_year":5228,"ayanamsa_lahiri":25.6205,"grahas":{"sun":{"sidereal_longitude":84.92390499999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"moon":{"sidereal_longitude":359.030005,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false,"latitude":-0.245},"mars":{"sidereal_longitude":78.97080499999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":62.103605000000016,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":239.42800499999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":63.74290500000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":133.11300500000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":176.4543,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":356.4543,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","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":2126,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2497758.770833,"kali_year":5228,"ahargana":1909293.2708,"sun":{"sidereal_longitude":84.2183,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":359.579,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":275.3606,"elapsed_within_tithi_degrees":11.3606},"nakshatra":{"number":27,"name":"Revatī","pada":4,"moon_longitude":359.579,"elapsed_within_degrees":12.9123},"yoga":{"number":7,"name":"Sukarma","sum_longitude":83.7973},"karana":{"half_tithi_index":45,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.245,"elongation":84.639},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.245,"opposition_distance":95.361}},"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":14.198881383819014,"dayLengthDisplay":"14 Hours 11 Mins 56 Secs","nightLengthDisplay":"9 Hours 48 Mins 04 Secs","moonriseLocal":"00:22","moonsetLocal":"13:18","rahuKala":{"name":"Rāhu Kāla","start":"09:01","end":"10:47","startHours":9.011236801481257,"endHours":10.786096974458633,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:20","end":"16:07","startHours":14.335817320413387,"endHours":16.110677493390764,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:28","end":"07:14","startHours":5.461516455526502,"endHours":7.236376628503879,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:46","end":"09:15","startHours":8.774588778417606,"endHours":9.247884824544906,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:03","end":"06:26","startHours":6.053136513185628,"endHours":6.431773350087468,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:05","end":"13:02","startHours":12.08766110130871,"endHours":13.03425319356331,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:34","end":"04:31","startHours":3.5683322710173004,"endHours":4.514924363271901,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:17","end":"05:28","startHours":4.278276340208251,"endHours":5.461516455526502,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:56","end":"15:52","startHours":14.927437378072511,"endHours":15.874029470327113,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:28","end":"19:52","startHours":19.460397839345518,"endHours":19.860397839345517,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:40","end":"20:15","startHours":19.660397839345517,"endHours":20.25201789700464,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:25","end":"21:10","startHours":19.410397839345517,"endHours":21.160397839345517,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:05","end":"01:02","startHours":24.08766110130871,"endHours":25.03425319356331,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:28","end":"07:14","startHours":5.461516455526502,"endHours":7.236376628503879,"quality":"inauspicious"},{"name":"Śubha","start":"07:14","end":"09:01","startHours":7.236376628503879,"endHours":9.011236801481257,"quality":"auspicious"},{"name":"Roga","start":"09:01","end":"10:47","startHours":9.011236801481257,"endHours":10.786096974458633,"quality":"inauspicious"},{"name":"Udveg","start":"10:47","end":"12:34","startHours":10.786096974458633,"endHours":12.56095714743601,"quality":"inauspicious"},{"name":"Chala","start":"12:34","end":"14:20","startHours":12.56095714743601,"endHours":14.335817320413387,"quality":"neutral"},{"name":"Labha","start":"14:20","end":"16:07","startHours":14.335817320413387,"endHours":16.110677493390764,"quality":"auspicious"},{"name":"Amṛta","start":"16:07","end":"17:53","startHours":16.110677493390764,"endHours":17.88553766636814,"quality":"auspicious"},{"name":"Kāla","start":"17:53","end":"19:40","startHours":17.88553766636814,"endHours":19.660397839345517,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:40","end":"20:53","startHours":19.660397839345517,"endHours":20.88553766636814,"quality":"auspicious"},{"name":"Amṛta","start":"20:53","end":"22:07","startHours":20.88553766636814,"endHours":22.110677493390764,"quality":"auspicious"},{"name":"Kāla","start":"22:07","end":"23:20","startHours":22.110677493390764,"endHours":23.335817320413387,"quality":"inauspicious"},{"name":"Śubha","start":"23:20","end":"00:34","startHours":23.335817320413387,"endHours":24.56095714743601,"quality":"auspicious"},{"name":"Roga","start":"00:34","end":"01:47","startHours":24.56095714743601,"endHours":25.786096974458633,"quality":"inauspicious"},{"name":"Udveg","start":"01:47","end":"03:01","startHours":25.786096974458633,"endHours":27.011236801481257,"quality":"inauspicious"},{"name":"Chala","start":"03:01","end":"04:14","startHours":27.011236801481257,"endHours":28.23637662850388,"quality":"neutral"},{"name":"Labha","start":"04:14","end":"05:28","startHours":28.23637662850388,"endHours":29.461516455526503,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:28","end":"06:28","startHours":5.461516455526502,"endHours":6.461516455526502,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:28","end":"07:28","startHours":6.461516455526502,"endHours":7.461516455526502,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:28","end":"08:28","startHours":7.461516455526502,"endHours":8.461516455526503,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:28","end":"09:28","startHours":8.461516455526503,"endHours":9.461516455526503,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:28","end":"10:28","startHours":9.461516455526503,"endHours":10.461516455526503,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:28","end":"11:28","startHours":10.461516455526503,"endHours":11.461516455526503,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:28","end":"12:28","startHours":11.461516455526503,"endHours":12.461516455526503,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:28","end":"13:28","startHours":12.461516455526503,"endHours":13.461516455526503,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:28","end":"14:28","startHours":13.461516455526503,"endHours":14.461516455526503,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:28","end":"15:28","startHours":14.461516455526503,"endHours":15.461516455526503,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:28","end":"16:28","startHours":15.461516455526503,"endHours":16.461516455526503,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:28","end":"17:28","startHours":16.461516455526503,"endHours":17.461516455526503,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:28","end":"18:28","startHours":17.461516455526503,"endHours":18.461516455526503,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:28","end":"19:28","startHours":18.461516455526503,"endHours":19.461516455526503,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:28","end":"20:28","startHours":19.461516455526503,"endHours":20.461516455526503,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:28","end":"21:28","startHours":20.461516455526503,"endHours":21.461516455526503,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:28","end":"22:28","startHours":21.461516455526503,"endHours":22.461516455526503,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:28","end":"23:28","startHours":22.461516455526503,"endHours":23.461516455526503,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:28","end":"00:28","startHours":23.461516455526503,"endHours":24.461516455526503,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:28","end":"01:28","startHours":24.461516455526503,"endHours":25.461516455526503,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:28","end":"02:28","startHours":25.461516455526503,"endHours":26.461516455526503,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:28","end":"03:28","startHours":26.461516455526503,"endHours":27.461516455526503,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:28","end":"04:28","startHours":27.461516455526503,"endHours":28.461516455526503,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:28","end":"05:28","startHours":28.461516455526503,"endHours":29.461516455526503,"planetary_lord":"Mercury"}],"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","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"East","anandadiYoga":{"name":"Gada","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":21.865984239408874,"eotMinutes":-5.361428846160681,"ayanamsa":25.6205}},"calendars":{"vikram_samvat":2183,"vikram_samvatsara":"Vikāri","saka_samvat":2048,"saka_samvatsara":"Vyaya","bengali_samvat":1533,"malayalam_era":1302,"nanakshahi_year":657,"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 Aṣṭamī · Vikram 2183 Vikāri · Śaka 2048 Vyaya"},"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":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Kṛṣṇa Aṣṭamī","url":"/day/-3226-07-09","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, 2126 CE · Phoenix, USA · Vidhyamitra","description":"July 13, 2126 CE for Phoenix, USA: Kṛṣṇa Aṣṭamī, sūryodaya 05:28, sūryāsta 19:40.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/2126-07-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/2126-07-13","sa":"https://sa.vidhyamitra.com/city/phoenix/2126-07-13","hi":"https://hi.vidhyamitra.com/city/phoenix/2126-07-13","x-default":"https://vidhyamitra.com/city/phoenix/2126-07-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T16:17:11.092Z","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":"2026-05-31T16:17:11.092Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T16:17:11.092Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}