{"id":"vidhyamitra:city-day:phoenix:2168-10-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/2168-10-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2168-10-13","date_display":"October 13, 2168 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":2168,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513191.770833,"kali_year":5270,"ahargana":1924726.2708,"sun":{"sidereal_longitude":172.9647,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":306.1676,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":133.2028,"elapsed_within_tithi_degrees":1.2028},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4,"moon_longitude":306.1676,"elapsed_within_degrees":12.8342},"yoga":{"number":9,"name":"Śūla","sum_longitude":119.1323},"karana":{"half_tithi_index":22,"name":"Bava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2168,"month":10,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2513191.770833,"ahargana":1924726.2708,"kali_year":5270,"ayanamsa_lahiri":26.2108,"grahas":{"sun":{"sidereal_longitude":174.11464999999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":307.30594999999994,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false,"latitude":-3.3124},"mars":{"sidereal_longitude":203.11525000000006,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":170.41895,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":105.64794999999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"venus":{"sidereal_longitude":214.09545000000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":278.1704500000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":78.7397,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":258.7397,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":2168,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513191.770833,"kali_year":5270,"ahargana":1924726.2708,"sun":{"sidereal_longitude":172.9647,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":306.1676,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":133.2028,"elapsed_within_tithi_degrees":1.2028},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4,"moon_longitude":306.1676,"elapsed_within_degrees":12.8342},"yoga":{"number":9,"name":"Śūla","sum_longitude":119.1323},"karana":{"half_tithi_index":22,"name":"Bava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.312,"elongation":133.203},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.312,"opposition_distance":46.797}},"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":"06:31","sunsetLocal":"17:57","solarNoonLocal":"12:14","dayLengthHours":11.429920667230853,"dayLengthDisplay":"11 Hours 25 Mins 48 Secs","nightLengthDisplay":"12 Hours 34 Mins 12 Secs","moonriseLocal":"15:31","moonsetLocal":"02:42","rahuKala":{"name":"Rāhu Kāla","start":"13:40","end":"15:05","startHours":13.659632929935931,"endHours":15.088373013339787,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:31","end":"07:57","startHours":6.515932512916648,"endHours":7.944672596320505,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:22","end":"10:48","startHours":9.37341267972436,"endHours":10.802152763128218,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:11","end":"09:34","startHours":9.182914001937181,"endHours":9.563911357511543,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:00","end":"07:18","startHours":6.9921792073846,"endHours":7.29697709184409,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:51","end":"12:37","startHours":11.849895490957714,"endHours":12.611890202106437,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:00","end":"05:45","startHours":4.991943090619201,"endHours":5.753937801767925,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:34","end":"06:31","startHours":5.563439123980744,"endHours":6.515932512916648,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:08","end":"14:54","startHours":14.135879624403884,"endHours":14.897874335552608,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:45","end":"18:09","startHours":17.745853180147503,"endHours":18.1458531801475,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:57","end":"18:25","startHours":17.945853180147502,"endHours":18.422099874615455,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:42","end":"19:27","startHours":17.695853180147502,"endHours":19.445853180147502,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:51","end":"00:37","startHours":23.849895490957714,"endHours":24.611890202106437,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:31","end":"07:57","startHours":6.515932512916648,"endHours":7.944672596320505,"quality":"auspicious"},{"name":"Roga","start":"07:57","end":"09:22","startHours":7.944672596320505,"endHours":9.37341267972436,"quality":"inauspicious"},{"name":"Udveg","start":"09:22","end":"10:48","startHours":9.37341267972436,"endHours":10.802152763128218,"quality":"inauspicious"},{"name":"Chala","start":"10:48","end":"12:14","startHours":10.802152763128218,"endHours":12.230892846532075,"quality":"neutral"},{"name":"Labha","start":"12:14","end":"13:40","startHours":12.230892846532075,"endHours":13.659632929935931,"quality":"auspicious"},{"name":"Amṛta","start":"13:40","end":"15:05","startHours":13.659632929935931,"endHours":15.088373013339787,"quality":"auspicious"},{"name":"Kāla","start":"15:05","end":"16:31","startHours":15.088373013339787,"endHours":16.517113096743646,"quality":"inauspicious"},{"name":"Śubha","start":"16:31","end":"17:57","startHours":16.517113096743646,"endHours":17.945853180147502,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:57","end":"19:31","startHours":17.945853180147502,"endHours":19.517113096743646,"quality":"auspicious"},{"name":"Kāla","start":"19:31","end":"21:05","startHours":19.517113096743646,"endHours":21.08837301333979,"quality":"inauspicious"},{"name":"Śubha","start":"21:05","end":"22:40","startHours":21.08837301333979,"endHours":22.65963292993593,"quality":"auspicious"},{"name":"Roga","start":"22:40","end":"00:14","startHours":22.65963292993593,"endHours":24.230892846532075,"quality":"inauspicious"},{"name":"Udveg","start":"00:14","end":"01:48","startHours":24.230892846532075,"endHours":25.80215276312822,"quality":"inauspicious"},{"name":"Chala","start":"01:48","end":"03:22","startHours":25.80215276312822,"endHours":27.37341267972436,"quality":"neutral"},{"name":"Labha","start":"03:22","end":"04:57","startHours":27.37341267972436,"endHours":28.944672596320505,"quality":"auspicious"},{"name":"Amṛta","start":"04:57","end":"06:31","startHours":28.944672596320505,"endHours":30.51593251291665,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:31","end":"07:31","startHours":6.515932512916648,"endHours":7.515932512916648,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:31","end":"08:31","startHours":7.515932512916648,"endHours":8.515932512916649,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:31","end":"09:31","startHours":8.515932512916649,"endHours":9.515932512916649,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:31","end":"10:31","startHours":9.515932512916649,"endHours":10.515932512916649,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:31","end":"11:31","startHours":10.515932512916649,"endHours":11.515932512916649,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:31","end":"12:31","startHours":11.515932512916649,"endHours":12.515932512916649,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:31","end":"13:31","startHours":12.515932512916649,"endHours":13.515932512916649,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:31","end":"14:31","startHours":13.515932512916649,"endHours":14.515932512916649,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:31","end":"15:31","startHours":14.515932512916649,"endHours":15.515932512916649,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:31","end":"16:31","startHours":15.515932512916649,"endHours":16.51593251291665,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:31","end":"17:31","startHours":16.51593251291665,"endHours":17.51593251291665,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:31","end":"18:31","startHours":17.51593251291665,"endHours":18.51593251291665,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:31","end":"19:31","startHours":18.51593251291665,"endHours":19.51593251291665,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:31","end":"20:31","startHours":19.51593251291665,"endHours":20.51593251291665,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:31","end":"21:31","startHours":20.51593251291665,"endHours":21.51593251291665,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:31","end":"22:31","startHours":21.51593251291665,"endHours":22.51593251291665,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:31","end":"23:31","startHours":22.51593251291665,"endHours":23.51593251291665,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:31","end":"00:31","startHours":23.51593251291665,"endHours":24.51593251291665,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:31","end":"01:31","startHours":24.51593251291665,"endHours":25.51593251291665,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:31","end":"02:31","startHours":25.51593251291665,"endHours":26.51593251291665,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:31","end":"03:31","startHours":26.51593251291665,"endHours":27.51593251291665,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:31","end":"04:31","startHours":27.51593251291665,"endHours":28.51593251291665,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:31","end":"05:31","startHours":28.51593251291665,"endHours":29.51593251291665,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:31","end":"06:31","startHours":29.51593251291665,"endHours":30.51593251291665,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Chatra","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-7.940996920493384,"eotMinutes":14.442429208075392,"ayanamsa":26.2108}},"calendars":{"vikram_samvat":2225,"vikram_samvatsara":"Vṛṣa","saka_samvat":2090,"saka_samvatsara":"Vibhava","bengali_samvat":1575,"malayalam_era":1344,"nanakshahi_year":699,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Dvādaśī · Vikram 2225 Vṛṣa · Śaka 2090 Vibhava"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 13, 2168 CE · Phoenix, USA · Vidhyamitra","description":"October 13, 2168 CE for Phoenix, USA: Śukla Dvādaśī, sūryodaya 06:31, sūryāsta 17:57.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/2168-10-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/2168-10-13","sa":"https://sa.vidhyamitra.com/city/phoenix/2168-10-13","hi":"https://hi.vidhyamitra.com/city/phoenix/2168-10-13","x-default":"https://vidhyamitra.com/city/phoenix/2168-10-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T13:56:47.574Z","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":"2026-06-01T13:56:47.574Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T13:56:47.574Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}