{"id":"vidhyamitra:city-day:phoenix:2107-08-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/2107-08-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2107-08-31","date_display":"August 31, 2107 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":2107,"month":8,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2490867.770833,"kali_year":5209,"ahargana":1902402.2708,"sun":{"sidereal_longitude":130.8154,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":282.609,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":151.7937,"elapsed_within_tithi_degrees":7.7937},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1,"moon_longitude":282.609,"elapsed_within_degrees":2.609},"yoga":{"number":5,"name":"Śobhana","sum_longitude":53.4244},"karana":{"half_tithi_index":25,"name":"Taitila"},"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":2107,"month":8,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2490867.770833,"ahargana":1902402.2708,"kali_year":5209,"ayanamsa_lahiri":25.3569,"grahas":{"sun":{"sidereal_longitude":131.75109099999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":284.462391,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false,"latitude":4.4166},"mars":{"sidereal_longitude":90.51719100000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":156.40149099999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":52.187190999999984,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":141.376491,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":254.85679100000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":181.5727,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":1.5727,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"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":2107,"month":8,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2490867.770833,"kali_year":5209,"ahargana":1902402.2708,"sun":{"sidereal_longitude":130.8154,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":282.609,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":151.7937,"elapsed_within_tithi_degrees":7.7937},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1,"moon_longitude":282.609,"elapsed_within_degrees":2.609},"yoga":{"number":5,"name":"Śobhana","sum_longitude":53.4244},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.417,"elongation":151.794},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.417,"opposition_distance":28.206}},"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":"06:00","sunsetLocal":"18:56","solarNoonLocal":"12:28","dayLengthHours":12.927303372661926,"dayLengthDisplay":"12 Hours 55 Mins 38 Secs","nightLengthDisplay":"11 Hours 04 Mins 22 Secs","moonriseLocal":"17:25","moonsetLocal":"03:53","rahuKala":{"name":"Rāhu Kāla","start":"12:28","end":"14:05","startHours":12.469173507943545,"endHours":14.085086429526285,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:37","end":"09:14","startHours":7.621434743195321,"endHours":9.237347664778062,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:51","end":"12:28","startHours":10.853260586360804,"endHours":12.469173507943545,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:01","end":"09:27","startHours":9.021892608567029,"endHours":9.452802720989094,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:33","end":"06:53","startHours":6.544159462140161,"endHours":6.888887552077812,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:02","end":"12:54","startHours":12.038263395521481,"endHours":12.900083620365608,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:17","end":"05:09","startHours":4.281881371924324,"endHours":5.143701596768452,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:56","end":"06:00","startHours":4.92824654055742,"endHours":6.0055218216125805,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:37","end":"15:29","startHours":14.623724070053866,"endHours":15.485544294897995,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:44","end":"19:08","startHours":18.732825194274508,"endHours":19.132825194274506,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:56","end":"19:28","startHours":18.932825194274507,"endHours":19.471462834802086,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:41","end":"20:26","startHours":18.682825194274507,"endHours":20.432825194274507,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:02","end":"00:54","startHours":24.03826339552148,"endHours":24.90008362036561,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:00","end":"07:37","startHours":6.0055218216125805,"endHours":7.621434743195321,"quality":"auspicious"},{"name":"Amṛta","start":"07:37","end":"09:14","startHours":7.621434743195321,"endHours":9.237347664778062,"quality":"auspicious"},{"name":"Kāla","start":"09:14","end":"10:51","startHours":9.237347664778062,"endHours":10.853260586360804,"quality":"inauspicious"},{"name":"Śubha","start":"10:51","end":"12:28","startHours":10.853260586360804,"endHours":12.469173507943545,"quality":"auspicious"},{"name":"Roga","start":"12:28","end":"14:05","startHours":12.469173507943545,"endHours":14.085086429526285,"quality":"inauspicious"},{"name":"Udveg","start":"14:05","end":"15:42","startHours":14.085086429526285,"endHours":15.700999351109026,"quality":"inauspicious"},{"name":"Chala","start":"15:42","end":"17:19","startHours":15.700999351109026,"endHours":17.316912272691766,"quality":"neutral"},{"name":"Labha","start":"17:19","end":"18:56","startHours":17.316912272691766,"endHours":18.932825194274507,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:56","end":"20:19","startHours":18.932825194274507,"endHours":20.316912272691766,"quality":"inauspicious"},{"name":"Chala","start":"20:19","end":"21:42","startHours":20.316912272691766,"endHours":21.700999351109026,"quality":"neutral"},{"name":"Labha","start":"21:42","end":"23:05","startHours":21.700999351109026,"endHours":23.085086429526285,"quality":"auspicious"},{"name":"Amṛta","start":"23:05","end":"00:28","startHours":23.085086429526285,"endHours":24.469173507943545,"quality":"auspicious"},{"name":"Kāla","start":"00:28","end":"01:51","startHours":24.469173507943545,"endHours":25.853260586360804,"quality":"inauspicious"},{"name":"Śubha","start":"01:51","end":"03:14","startHours":25.853260586360804,"endHours":27.237347664778063,"quality":"auspicious"},{"name":"Roga","start":"03:14","end":"04:37","startHours":27.237347664778063,"endHours":28.621434743195323,"quality":"inauspicious"},{"name":"Udveg","start":"04:37","end":"06:00","startHours":28.621434743195323,"endHours":30.005521821612582,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:00","end":"07:00","startHours":6.0055218216125805,"endHours":7.0055218216125805,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:00","end":"08:00","startHours":7.0055218216125805,"endHours":8.00552182161258,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:00","end":"09:00","startHours":8.00552182161258,"endHours":9.00552182161258,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:00","end":"10:00","startHours":9.00552182161258,"endHours":10.00552182161258,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:00","end":"11:00","startHours":10.00552182161258,"endHours":11.00552182161258,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:00","end":"12:00","startHours":11.00552182161258,"endHours":12.00552182161258,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:00","end":"13:00","startHours":12.00552182161258,"endHours":13.00552182161258,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:00","end":"14:00","startHours":13.00552182161258,"endHours":14.00552182161258,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:00","end":"15:00","startHours":14.00552182161258,"endHours":15.00552182161258,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:00","end":"16:00","startHours":15.00552182161258,"endHours":16.005521821612582,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:00","end":"17:00","startHours":16.005521821612582,"endHours":17.005521821612582,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:00","end":"18:00","startHours":17.005521821612582,"endHours":18.005521821612582,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:00","end":"19:00","startHours":18.005521821612582,"endHours":19.005521821612582,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:00","end":"20:00","startHours":19.005521821612582,"endHours":20.005521821612582,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:00","end":"21:00","startHours":20.005521821612582,"endHours":21.005521821612582,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:00","end":"22:00","startHours":21.005521821612582,"endHours":22.005521821612582,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:00","end":"23:00","startHours":22.005521821612582,"endHours":23.005521821612582,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:00","end":"00:00","startHours":23.005521821612582,"endHours":24.005521821612582,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:00","end":"01:00","startHours":24.005521821612582,"endHours":25.005521821612582,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:00","end":"02:00","startHours":25.005521821612582,"endHours":26.005521821612582,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:00","end":"03:00","startHours":26.005521821612582,"endHours":27.005521821612582,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:00","end":"04:00","startHours":27.005521821612582,"endHours":28.005521821612582,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:00","end":"05:00","startHours":28.005521821612582,"endHours":29.005521821612582,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:00","end":"06:00","startHours":29.005521821612582,"endHours":30.005521821612582,"planetary_lord":"Sun"}],"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":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"South-West","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":8.900332833219096,"eotMinutes":0.14558952338733633,"ayanamsa":25.3569}},"calendars":{"vikram_samvat":2164,"vikram_samvatsara":"Vikrama","saka_samvat":2029,"saka_samvatsara":"Prabhava","bengali_samvat":1514,"malayalam_era":1283,"nanakshahi_year":638,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Trayodaśī · Vikram 2164 Vikrama · Śaka 2029 Prabhava"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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 August 31, 2107 CE · Phoenix, USA · Vidhyamitra","description":"August 31, 2107 CE for Phoenix, USA: Śukla Trayodaśī, sūryodaya 06:00, sūryāsta 18:56.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/2107-08-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/2107-08-31","sa":"https://sa.vidhyamitra.com/city/phoenix/2107-08-31","hi":"https://hi.vidhyamitra.com/city/phoenix/2107-08-31","x-default":"https://vidhyamitra.com/city/phoenix/2107-08-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T08:09:19.009Z","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":"2026-06-01T08:09:19.009Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T08:09:19.009Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}