{"id":"vidhyamitra:city-day:phoenix:2040-06-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/2040-06-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2040-06-13","date_display":"June 13, 2040 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":2040,"month":6,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466318.770833,"kali_year":5142,"ahargana":1877853.2708,"sun":{"sidereal_longitude":57.9425,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":97.459,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":39.5165,"elapsed_within_tithi_degrees":3.5165},"nakshatra":{"number":8,"name":"Puṣya","pada":2,"moon_longitude":97.459,"elapsed_within_degrees":4.1257},"yoga":{"number":12,"name":"Dhruva","sum_longitude":155.4015},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2040,"month":6,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466318.770833,"ahargana":1877853.2708,"kali_year":5142,"ayanamsa_lahiri":24.418,"grahas":{"sun":{"sidereal_longitude":58.24724400000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":94.13284399999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false,"latitude":3.6922},"mars":{"sidereal_longitude":117.45064400000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":74.682344,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":147.818444,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":61.201144,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":160.09994400000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":42.2968,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":222.2968,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","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":2040,"month":6,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466318.770833,"kali_year":5142,"ahargana":1877853.2708,"sun":{"sidereal_longitude":57.9425,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":97.459,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":39.5165,"elapsed_within_tithi_degrees":3.5165},"nakshatra":{"number":8,"name":"Puṣya","pada":2,"moon_longitude":97.459,"elapsed_within_degrees":4.1257},"yoga":{"number":12,"name":"Dhruva","sum_longitude":155.4015},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.692,"elongation":39.517},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.692,"opposition_distance":140.483}},"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":"19:39","solarNoonLocal":"12:28","dayLengthHours":14.348088776448733,"dayLengthDisplay":"14 Hours 20 Mins 53 Secs","nightLengthDisplay":"9 Hours 39 Mins 07 Secs","moonriseLocal":"07:52","moonsetLocal":"21:52","rahuKala":{"name":"Rāhu Kāla","start":"12:28","end":"14:16","startHours":12.468013673356651,"endHours":14.261524770412741,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:05","end":"08:53","startHours":7.087480382188375,"endHours":8.880991479244468,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:40","end":"12:28","startHours":10.674502576300558,"endHours":12.468013673356651,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:39","end":"09:07","startHours":8.641856666303655,"endHours":9.12012629218528,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:54","end":"06:16","startHours":5.891806317484314,"endHours":6.274422018189614,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:59","end":"12:57","startHours":11.989744047475027,"endHours":12.946283299238276,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:23","end":"04:20","startHours":3.380890781605786,"endHours":4.337430033369035,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:06","end":"05:18","startHours":4.098295220428223,"endHours":5.293969285132284,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:52","end":"15:49","startHours":14.859361802764774,"endHours":15.815901054528023,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:27","end":"19:51","startHours":19.44205806158102,"endHours":19.842058061581017,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:39","end":"20:14","startHours":19.642058061581018,"endHours":20.23989509393305,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:24","end":"21:09","startHours":19.392058061581018,"endHours":21.142058061581018,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:59","end":"00:57","startHours":23.98974404747503,"endHours":24.946283299238274,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:18","end":"07:05","startHours":5.293969285132284,"endHours":7.087480382188375,"quality":"auspicious"},{"name":"Amṛta","start":"07:05","end":"08:53","startHours":7.087480382188375,"endHours":8.880991479244468,"quality":"auspicious"},{"name":"Kāla","start":"08:53","end":"10:40","startHours":8.880991479244468,"endHours":10.674502576300558,"quality":"inauspicious"},{"name":"Śubha","start":"10:40","end":"12:28","startHours":10.674502576300558,"endHours":12.468013673356651,"quality":"auspicious"},{"name":"Roga","start":"12:28","end":"14:16","startHours":12.468013673356651,"endHours":14.261524770412741,"quality":"inauspicious"},{"name":"Udveg","start":"14:16","end":"16:03","startHours":14.261524770412741,"endHours":16.055035867468835,"quality":"inauspicious"},{"name":"Chala","start":"16:03","end":"17:51","startHours":16.055035867468835,"endHours":17.848546964524925,"quality":"neutral"},{"name":"Labha","start":"17:51","end":"19:39","startHours":17.848546964524925,"endHours":19.642058061581018,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:39","end":"20:51","startHours":19.642058061581018,"endHours":20.848546964524928,"quality":"inauspicious"},{"name":"Chala","start":"20:51","end":"22:03","startHours":20.848546964524928,"endHours":22.055035867468835,"quality":"neutral"},{"name":"Labha","start":"22:03","end":"23:16","startHours":22.055035867468835,"endHours":23.26152477041274,"quality":"auspicious"},{"name":"Amṛta","start":"23:16","end":"00:28","startHours":23.26152477041274,"endHours":24.46801367335665,"quality":"auspicious"},{"name":"Kāla","start":"00:28","end":"01:40","startHours":24.46801367335665,"endHours":25.67450257630056,"quality":"inauspicious"},{"name":"Śubha","start":"01:40","end":"02:53","startHours":25.67450257630056,"endHours":26.880991479244468,"quality":"auspicious"},{"name":"Roga","start":"02:53","end":"04:05","startHours":26.880991479244468,"endHours":28.087480382188375,"quality":"inauspicious"},{"name":"Udveg","start":"04:05","end":"05:18","startHours":28.087480382188375,"endHours":29.293969285132285,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:18","end":"06:18","startHours":5.293969285132284,"endHours":6.293969285132284,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:18","end":"07:18","startHours":6.293969285132284,"endHours":7.293969285132284,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:18","end":"08:18","startHours":7.293969285132284,"endHours":8.293969285132285,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:18","end":"09:18","startHours":8.293969285132285,"endHours":9.293969285132285,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:18","end":"10:18","startHours":9.293969285132285,"endHours":10.293969285132285,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:18","end":"11:18","startHours":10.293969285132285,"endHours":11.293969285132285,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:18","end":"12:18","startHours":11.293969285132285,"endHours":12.293969285132285,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:18","end":"13:18","startHours":12.293969285132285,"endHours":13.293969285132285,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:18","end":"14:18","startHours":13.293969285132285,"endHours":14.293969285132285,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:18","end":"15:18","startHours":14.293969285132285,"endHours":15.293969285132285,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:18","end":"16:18","startHours":15.293969285132285,"endHours":16.293969285132285,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:18","end":"17:18","startHours":16.293969285132285,"endHours":17.293969285132285,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:18","end":"18:18","startHours":17.293969285132285,"endHours":18.293969285132285,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:18","end":"19:18","startHours":18.293969285132285,"endHours":19.293969285132285,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:18","end":"20:18","startHours":19.293969285132285,"endHours":20.293969285132285,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:18","end":"21:18","startHours":20.293969285132285,"endHours":21.293969285132285,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:18","end":"22:18","startHours":21.293969285132285,"endHours":22.293969285132285,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:18","end":"23:18","startHours":22.293969285132285,"endHours":23.293969285132285,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:18","end":"00:18","startHours":23.293969285132285,"endHours":24.293969285132285,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:18","end":"01:18","startHours":24.293969285132285,"endHours":25.293969285132285,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:18","end":"02:18","startHours":25.293969285132285,"endHours":26.293969285132285,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:18","end":"03:18","startHours":26.293969285132285,"endHours":27.293969285132285,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:18","end":"04:18","startHours":27.293969285132285,"endHours":28.293969285132285,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:18","end":"05:18","startHours":28.293969285132285,"endHours":29.293969285132285,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"South-West","anandadiYoga":{"name":"Śubha","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":23.23341530231277,"eotMinutes":0.2151795986009022,"ayanamsa":24.418}},"calendars":{"vikram_samvat":2097,"vikram_samvatsara":"Śrīmukha","saka_samvat":1962,"saka_samvatsara":"Raudra","bengali_samvat":1447,"malayalam_era":1216,"nanakshahi_year":571,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","lunar_month_amanta":"Jyeṣṭha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Śukla Caturthī · Vikram 2097 Śrīmukha · Śaka 1962 Raudra"},"festivals":[{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 June 13, 2040 CE · Phoenix, USA · Vidhyamitra","description":"June 13, 2040 CE for Phoenix, USA: Śukla Caturthī, sūryodaya 05:18, sūryāsta 19:39.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/2040-06-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/2040-06-13","sa":"https://sa.vidhyamitra.com/city/phoenix/2040-06-13","hi":"https://hi.vidhyamitra.com/city/phoenix/2040-06-13","x-default":"https://vidhyamitra.com/city/phoenix/2040-06-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T12:21:19.250Z","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":"2026-06-02T12:21:19.250Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T12:21:19.250Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}