{"id":"vidhyamitra:city-day:phoenix:2021-06-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/2021-06-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2021-06-13","date_display":"June 13, 2021 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":2021,"month":6,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459378.770833,"kali_year":5123,"ahargana":1870913.2708,"sun":{"sidereal_longitude":57.8632,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":89.0796,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":31.2164,"elapsed_within_tithi_degrees":7.2164},"nakshatra":{"number":7,"name":"Punarvasu","pada":3,"moon_longitude":89.0796,"elapsed_within_degrees":9.0796},"yoga":{"number":12,"name":"Dhruva","sum_longitude":146.9428},"karana":{"half_tithi_index":5,"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":2021,"month":6,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2459378.770833,"ahargana":1870913.2708,"kali_year":5123,"ayanamsa_lahiri":24.1526,"grahas":{"sun":{"sidereal_longitude":58.121902999999975,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":86.88610299999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false,"latitude":2.8343},"mars":{"sidereal_longitude":96.46340299999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":54.745903,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":307.911203,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":78.37990300000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":289.045703,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":50.0114,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":230.0114,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":2021,"month":6,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459378.770833,"kali_year":5123,"ahargana":1870913.2708,"sun":{"sidereal_longitude":57.8632,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":89.0796,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":31.2164,"elapsed_within_tithi_degrees":7.2164},"nakshatra":{"number":7,"name":"Punarvasu","pada":3,"moon_longitude":89.0796,"elapsed_within_degrees":9.0796},"yoga":{"number":12,"name":"Dhruva","sum_longitude":146.9428},"karana":{"half_tithi_index":5,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.834,"elongation":31.216},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.834,"opposition_distance":148.784}},"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":"05:18","sunsetLocal":"19:38","solarNoonLocal":"12:28","dayLengthHours":14.345638720879755,"dayLengthDisplay":"14 Hours 20 Mins 44 Secs","nightLengthDisplay":"9 Hours 39 Mins 16 Secs","moonriseLocal":"07:19","moonsetLocal":"21:28","rahuKala":{"name":"Rāhu Kāla","start":"17:51","end":"19:38","startHours":17.84762819368656,"endHours":19.64083303379653,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:28","end":"14:16","startHours":12.468013673356651,"endHours":14.26121851346662,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"16:03","end":"17:51","startHours":16.05442335357659,"endHours":17.84762819368656,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:39","end":"09:07","startHours":8.642510014455382,"endHours":9.120697971818041,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:54","end":"06:17","startHours":5.892929259620096,"endHours":6.275479625510222,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:59","end":"12:57","startHours":11.989825715993993,"endHours":12.94620163071931,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:23","end":"04:20","startHours":3.382442483466139,"endHours":4.338818398191456,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:06","end":"05:18","startHours":4.099724419510126,"endHours":5.295194312916773,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:52","end":"15:49","startHours":14.858953460169943,"endHours":15.81532937489526,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:26","end":"19:50","startHours":19.44083303379653,"endHours":19.840833033796528,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:38","end":"20:14","startHours":19.64083303379653,"endHours":20.23856798049985,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:23","end":"21:08","startHours":19.39083303379653,"endHours":21.14083303379653,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:59","end":"00:57","startHours":23.989825715993994,"endHours":24.946201630719308,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:18","end":"07:05","startHours":5.295194312916773,"endHours":7.088399153026742,"quality":"inauspicious"},{"name":"Chala","start":"07:05","end":"08:53","startHours":7.088399153026742,"endHours":8.88160399313671,"quality":"neutral"},{"name":"Labha","start":"08:53","end":"10:40","startHours":8.88160399313671,"endHours":10.674808833246681,"quality":"auspicious"},{"name":"Amṛta","start":"10:40","end":"12:28","startHours":10.674808833246681,"endHours":12.468013673356651,"quality":"auspicious"},{"name":"Kāla","start":"12:28","end":"14:16","startHours":12.468013673356651,"endHours":14.26121851346662,"quality":"inauspicious"},{"name":"Śubha","start":"14:16","end":"16:03","startHours":14.26121851346662,"endHours":16.05442335357659,"quality":"auspicious"},{"name":"Roga","start":"16:03","end":"17:51","startHours":16.05442335357659,"endHours":17.84762819368656,"quality":"inauspicious"},{"name":"Udveg","start":"17:51","end":"19:38","startHours":17.84762819368656,"endHours":19.64083303379653,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"19:38","end":"20:51","startHours":19.64083303379653,"endHours":20.84762819368656,"quality":"auspicious"},{"name":"Roga","start":"20:51","end":"22:03","startHours":20.84762819368656,"endHours":22.05442335357659,"quality":"inauspicious"},{"name":"Udveg","start":"22:03","end":"23:16","startHours":22.05442335357659,"endHours":23.26121851346662,"quality":"inauspicious"},{"name":"Chala","start":"23:16","end":"00:28","startHours":23.26121851346662,"endHours":24.46801367335665,"quality":"neutral"},{"name":"Labha","start":"00:28","end":"01:40","startHours":24.46801367335665,"endHours":25.674808833246683,"quality":"auspicious"},{"name":"Amṛta","start":"01:40","end":"02:53","startHours":25.674808833246683,"endHours":26.881603993136714,"quality":"auspicious"},{"name":"Kāla","start":"02:53","end":"04:05","startHours":26.881603993136714,"endHours":28.088399153026742,"quality":"inauspicious"},{"name":"Śubha","start":"04:05","end":"05:18","startHours":28.088399153026742,"endHours":29.295194312916774,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:18","end":"06:18","startHours":5.295194312916773,"endHours":6.295194312916773,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:18","end":"07:18","startHours":6.295194312916773,"endHours":7.295194312916773,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:18","end":"08:18","startHours":7.295194312916773,"endHours":8.295194312916774,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:18","end":"09:18","startHours":8.295194312916774,"endHours":9.295194312916774,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:18","end":"10:18","startHours":9.295194312916774,"endHours":10.295194312916774,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:18","end":"11:18","startHours":10.295194312916774,"endHours":11.295194312916774,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:18","end":"12:18","startHours":11.295194312916774,"endHours":12.295194312916774,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:18","end":"13:18","startHours":12.295194312916774,"endHours":13.295194312916774,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:18","end":"14:18","startHours":13.295194312916774,"endHours":14.295194312916774,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:18","end":"15:18","startHours":14.295194312916774,"endHours":15.295194312916774,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:18","end":"16:18","startHours":15.295194312916774,"endHours":16.295194312916774,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:18","end":"17:18","startHours":16.295194312916774,"endHours":17.295194312916774,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:18","end":"18:18","startHours":17.295194312916774,"endHours":18.295194312916774,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:18","end":"19:18","startHours":18.295194312916774,"endHours":19.295194312916774,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:18","end":"20:18","startHours":19.295194312916774,"endHours":20.295194312916774,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:18","end":"21:18","startHours":20.295194312916774,"endHours":21.295194312916774,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:18","end":"22:18","startHours":21.295194312916774,"endHours":22.295194312916774,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:18","end":"23:18","startHours":22.295194312916774,"endHours":23.295194312916774,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:18","end":"00:18","startHours":23.295194312916774,"endHours":24.295194312916774,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:18","end":"01:18","startHours":24.295194312916774,"endHours":25.295194312916774,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:18","end":"02:18","startHours":25.295194312916774,"endHours":26.295194312916774,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:18","end":"03:18","startHours":26.295194312916774,"endHours":27.295194312916774,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:18","end":"04:18","startHours":27.295194312916774,"endHours":28.295194312916774,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:18","end":"05:18","startHours":28.295194312916774,"endHours":29.295194312916774,"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","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Dhvaja","quality":"Auspicious"},"drikRitu":"Grīṣma (Summer) (Drik)","vedicRitu":"Vasanta (Spring)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":23.211253708124037,"eotMinutes":0.2151795986009022,"ayanamsa":24.1526}},"calendars":{"vikram_samvat":2078,"vikram_samvatsara":"Ānanda","saka_samvat":1943,"saka_samvatsara":"Plava","bengali_samvat":1428,"malayalam_era":1197,"nanakshahi_year":552,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Śukla Pakṣa","solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Śukla Tṛtīyā · Vikram 2078 Ānanda · Śaka 1943 Plava"},"festivals":[{"id":"vrishabha-sankranti","name":"Vṛṣabha Saṅkrānti","name_sanskrit":"वृषभ सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Taurus.","vrata":false,"detection":{"sun_rashi":"Vṛṣabha"},"precedence":5}],"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":[{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Punarvasu","url":"/day/-1626101-04-03","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 June 13, 2021 CE · Phoenix, USA · Vidhyamitra","description":"June 13, 2021 CE for Phoenix, USA: Śukla Tṛtīyā, sūryodaya 05:18, sūryāsta 19:38.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/2021-06-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/2021-06-13","sa":"https://sa.vidhyamitra.com/city/phoenix/2021-06-13","hi":"https://hi.vidhyamitra.com/city/phoenix/2021-06-13","x-default":"https://vidhyamitra.com/city/phoenix/2021-06-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T21:32:27.000Z","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":"2026-05-14T21:32:27.000Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T21:32:27.000Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}