{"id":"vidhyamitra:city-day:phoenix:2103-10-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/2103-10-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2103-10-31","date_display":"October 31, 2103 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":2103,"month":10,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489467.770833,"kali_year":5205,"ahargana":1901002.2708,"sun":{"sidereal_longitude":190.7146,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":190.8454,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":0.1308,"elapsed_within_tithi_degrees":0.1308},"nakshatra":{"number":15,"name":"Svātī","pada":2,"moon_longitude":190.8454,"elapsed_within_degrees":4.1787},"yoga":{"number":2,"name":"Prīti","sum_longitude":21.56},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"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":2103,"month":10,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2489467.770833,"ahargana":1901002.2708,"kali_year":5205,"ayanamsa_lahiri":25.3034,"grahas":{"sun":{"sidereal_longitude":191.66178200000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":191.91308200000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false,"latitude":-4.0745},"mars":{"sidereal_longitude":93.152782,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":208.164582,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":264.70458199999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":146.352982,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":214.958482,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":255.7514,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":75.7514,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","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":2103,"month":10,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489467.770833,"kali_year":5205,"ahargana":1901002.2708,"sun":{"sidereal_longitude":190.7146,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":190.8454,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":0.1308,"elapsed_within_tithi_degrees":0.1308},"nakshatra":{"number":15,"name":"Svātī","pada":2,"moon_longitude":190.8454,"elapsed_within_degrees":4.1787},"yoga":{"number":2,"name":"Prīti","sum_longitude":21.56},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.075,"elongation":0.131},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.075,"opposition_distance":179.869}},"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":"06:45","sunsetLocal":"17:39","solarNoonLocal":"12:12","dayLengthHours":10.890136908887264,"dayLengthDisplay":"10 Hours 53 Mins 24 Secs","nightLengthDisplay":"13 Hours 06 Mins 36 Secs","moonriseLocal":"06:48","moonsetLocal":"17:38","rahuKala":{"name":"Rāhu Kāla","start":"12:12","end":"13:34","startHours":12.197387007491194,"endHours":13.558654121102101,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:07","end":"09:28","startHours":8.11358566665847,"endHours":9.474852780269378,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:50","end":"12:12","startHours":10.836119893880287,"endHours":12.197387007491194,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:18","end":"09:39","startHours":9.29335049845459,"endHours":9.656355062084167,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:12","end":"07:30","startHours":7.206074257584532,"endHours":7.496477908488192,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:34","startHours":11.83438244386162,"endHours":12.56039157112077,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:18","end":"06:02","startHours":5.30030029852926,"endHours":6.026309425788411,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:51","end":"06:45","startHours":5.8448071439736236,"endHours":6.752318553047562,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:01","end":"14:44","startHours":14.012409825639072,"endHours":14.738418952898222,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:27","end":"17:51","startHours":17.442455461934827,"endHours":17.842455461934826,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:39","end":"18:06","startHours":17.642455461934826,"endHours":18.096211166471797,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:24","end":"19:09","startHours":17.392455461934826,"endHours":19.142455461934826,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:34","startHours":23.834382443861617,"endHours":24.56039157112077,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:45","end":"08:07","startHours":6.752318553047562,"endHours":8.11358566665847,"quality":"auspicious"},{"name":"Amṛta","start":"08:07","end":"09:28","startHours":8.11358566665847,"endHours":9.474852780269378,"quality":"auspicious"},{"name":"Kāla","start":"09:28","end":"10:50","startHours":9.474852780269378,"endHours":10.836119893880287,"quality":"inauspicious"},{"name":"Śubha","start":"10:50","end":"12:12","startHours":10.836119893880287,"endHours":12.197387007491194,"quality":"auspicious"},{"name":"Roga","start":"12:12","end":"13:34","startHours":12.197387007491194,"endHours":13.558654121102101,"quality":"inauspicious"},{"name":"Udveg","start":"13:34","end":"14:55","startHours":13.558654121102101,"endHours":14.91992123471301,"quality":"inauspicious"},{"name":"Chala","start":"14:55","end":"16:17","startHours":14.91992123471301,"endHours":16.28118834832392,"quality":"neutral"},{"name":"Labha","start":"16:17","end":"17:39","startHours":16.28118834832392,"endHours":17.642455461934826,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:39","end":"19:17","startHours":17.642455461934826,"endHours":19.28118834832392,"quality":"inauspicious"},{"name":"Chala","start":"19:17","end":"20:55","startHours":19.28118834832392,"endHours":20.91992123471301,"quality":"neutral"},{"name":"Labha","start":"20:55","end":"22:34","startHours":20.91992123471301,"endHours":22.5586541211021,"quality":"auspicious"},{"name":"Amṛta","start":"22:34","end":"00:12","startHours":22.5586541211021,"endHours":24.197387007491194,"quality":"auspicious"},{"name":"Kāla","start":"00:12","end":"01:50","startHours":24.197387007491194,"endHours":25.836119893880287,"quality":"inauspicious"},{"name":"Śubha","start":"01:50","end":"03:28","startHours":25.836119893880287,"endHours":27.47485278026938,"quality":"auspicious"},{"name":"Roga","start":"03:28","end":"05:07","startHours":27.47485278026938,"endHours":29.11358566665847,"quality":"inauspicious"},{"name":"Udveg","start":"05:07","end":"06:45","startHours":29.11358566665847,"endHours":30.752318553047562,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:45","end":"07:45","startHours":6.752318553047562,"endHours":7.752318553047562,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:45","end":"08:45","startHours":7.752318553047562,"endHours":8.752318553047562,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:45","end":"09:45","startHours":8.752318553047562,"endHours":9.752318553047562,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:45","end":"10:45","startHours":9.752318553047562,"endHours":10.752318553047562,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:45","end":"11:45","startHours":10.752318553047562,"endHours":11.752318553047562,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:45","end":"12:45","startHours":11.752318553047562,"endHours":12.752318553047562,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:45","end":"13:45","startHours":12.752318553047562,"endHours":13.752318553047562,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:45","end":"14:45","startHours":13.752318553047562,"endHours":14.752318553047562,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:45","end":"15:45","startHours":14.752318553047562,"endHours":15.752318553047562,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:45","end":"16:45","startHours":15.752318553047562,"endHours":16.752318553047562,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:45","end":"17:45","startHours":16.752318553047562,"endHours":17.752318553047562,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:45","end":"18:45","startHours":17.752318553047562,"endHours":18.752318553047562,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:45","end":"19:45","startHours":18.752318553047562,"endHours":19.752318553047562,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:45","end":"20:45","startHours":19.752318553047562,"endHours":20.752318553047562,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:45","end":"21:45","startHours":20.752318553047562,"endHours":21.752318553047562,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:45","end":"22:45","startHours":21.752318553047562,"endHours":22.752318553047562,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:45","end":"23:45","startHours":22.752318553047562,"endHours":23.752318553047562,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:45","end":"00:45","startHours":23.752318553047562,"endHours":24.752318553047562,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:45","end":"01:45","startHours":24.752318553047562,"endHours":25.752318553047562,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:45","end":"02:45","startHours":25.752318553047562,"endHours":26.752318553047562,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:45","end":"03:45","startHours":26.752318553047562,"endHours":27.752318553047562,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:45","end":"04:45","startHours":27.752318553047562,"endHours":28.752318553047562,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:45","end":"05:45","startHours":28.752318553047562,"endHours":29.752318553047562,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:45","end":"06:45","startHours":29.752318553047562,"endHours":30.752318553047562,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"North","rahuVasa":"South-West","anandadiYoga":{"name":"Sushira","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-13.8374578421851,"eotMinutes":16.45277955052819,"ayanamsa":25.3034}},"calendars":{"vikram_samvat":2160,"vikram_samvatsara":"Dhātṛ","saka_samvat":2025,"saka_samvatsara":"Rudhirodgāri","bengali_samvat":1510,"malayalam_era":1279,"nanakshahi_year":634,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","lunar_month_amanta":"Kārtika","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Śukla Pratipada · Vikram 2160 Dhātṛ · Śaka 2025 Rudhirodgāri"},"festivals":[{"id":"govardhana-puja","name":"Govardhana Pūjā (Annakūṭa)","name_sanskrit":"गोवर्धन पूजा","tradition":"Vaishnava","associated_deity":"Krishna (Govardhana-dhārī)","significance":"Krishna lifted Govardhana to protect Vraja from Indra's wrath. Day 4 of Diwali.","vrata":true,"detection":{"tithi_number":1,"tithi_paksha":"Śukla","lunar_month":"Kārtika"},"precedence":2,"sources":["Bhāgavata 10.24-27"]}],"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 October 31, 2103 CE · Phoenix, USA · Vidhyamitra","description":"October 31, 2103 CE for Phoenix, USA: Śukla Pratipada, sūryodaya 06:45, sūryāsta 17:39.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/2103-10-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/2103-10-31","sa":"https://sa.vidhyamitra.com/city/phoenix/2103-10-31","hi":"https://hi.vidhyamitra.com/city/phoenix/2103-10-31","x-default":"https://vidhyamitra.com/city/phoenix/2103-10-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T05:34:44.282Z","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":"2026-06-01T05:34:44.282Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T05:34:44.282Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}