{"id":"vidhyamitra:city-day:phoenix:2116-10-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/2116-10-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2116-10-13","date_display":"October 13, 2116 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":2116,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2494198.770833,"kali_year":5218,"ahargana":1905733.2708,"sun":{"sidereal_longitude":173.4155,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":256.5069,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":83.0914,"elapsed_within_tithi_degrees":11.0914},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1,"moon_longitude":256.5069,"elapsed_within_degrees":3.1736},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":69.9224},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2116,"month":10,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2494198.770833,"ahargana":1905733.2708,"kali_year":5218,"ayanamsa_lahiri":25.4843,"grahas":{"sun":{"sidereal_longitude":174.43882299999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":258.852123,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false,"latitude":-4.2652},"mars":{"sidereal_longitude":42.62712299999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":true},"mercury":{"sidereal_longitude":179.648323,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":300.300923,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":140.640423,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":9.308022999999991,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":5.0803,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":185.0803,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"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":2116,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2494198.770833,"kali_year":5218,"ahargana":1905733.2708,"sun":{"sidereal_longitude":173.4155,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":256.5069,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":83.0914,"elapsed_within_tithi_degrees":11.0914},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1,"moon_longitude":256.5069,"elapsed_within_degrees":3.1736},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":69.9224},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.265,"elongation":83.091},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.265,"opposition_distance":96.909}},"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":11.443522854040026,"dayLengthDisplay":"11 Hours 26 Mins 37 Secs","nightLengthDisplay":"12 Hours 33 Mins 23 Secs","moonriseLocal":"12:52","moonsetLocal":"22:51","rahuKala":{"name":"Rāhu Kāla","start":"15:06","end":"16:31","startHours":15.091773560042082,"endHours":16.522213916797085,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:22","end":"10:48","startHours":9.370012133022069,"endHours":10.800452489777072,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:14","end":"13:40","startHours":12.230892846532075,"endHours":13.661333203287079,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:11","end":"09:34","startHours":9.179286752121403,"endHours":9.560737513922737,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:59","end":"07:17","startHours":6.985944871763731,"endHours":7.291105481204799,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:51","end":"12:37","startHours":11.849442084730741,"endHours":12.61234360833341,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:59","end":"05:45","startHours":4.983328372306726,"endHours":5.746229895909395,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:33","end":"06:31","startHours":5.555504515008728,"endHours":6.509131419512063,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:08","end":"14:54","startHours":14.138146655538748,"endHours":14.901048179141416,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:45","end":"18:09","startHours":17.75265427355209,"endHours":18.152654273552088,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:57","end":"18:26","startHours":17.95265427355209,"endHours":18.429467725803757,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:42","end":"19:27","startHours":17.70265427355209,"endHours":19.45265427355209,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:51","end":"00:37","startHours":23.84944208473074,"endHours":24.61234360833341,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:31","end":"07:56","startHours":6.509131419512063,"endHours":7.939571776267067,"quality":"inauspicious"},{"name":"Udveg","start":"07:56","end":"09:22","startHours":7.939571776267067,"endHours":9.370012133022069,"quality":"inauspicious"},{"name":"Chala","start":"09:22","end":"10:48","startHours":9.370012133022069,"endHours":10.800452489777072,"quality":"neutral"},{"name":"Labha","start":"10:48","end":"12:14","startHours":10.800452489777072,"endHours":12.230892846532075,"quality":"auspicious"},{"name":"Amṛta","start":"12:14","end":"13:40","startHours":12.230892846532075,"endHours":13.661333203287079,"quality":"auspicious"},{"name":"Kāla","start":"13:40","end":"15:06","startHours":13.661333203287079,"endHours":15.091773560042082,"quality":"inauspicious"},{"name":"Śubha","start":"15:06","end":"16:31","startHours":15.091773560042082,"endHours":16.522213916797085,"quality":"auspicious"},{"name":"Roga","start":"16:31","end":"17:57","startHours":16.522213916797085,"endHours":17.95265427355209,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:57","end":"19:31","startHours":17.95265427355209,"endHours":19.522213916797085,"quality":"inauspicious"},{"name":"Śubha","start":"19:31","end":"21:06","startHours":19.522213916797085,"endHours":21.091773560042082,"quality":"auspicious"},{"name":"Roga","start":"21:06","end":"22:40","startHours":21.091773560042082,"endHours":22.66133320328708,"quality":"inauspicious"},{"name":"Udveg","start":"22:40","end":"00:14","startHours":22.66133320328708,"endHours":24.230892846532075,"quality":"inauspicious"},{"name":"Chala","start":"00:14","end":"01:48","startHours":24.230892846532075,"endHours":25.800452489777072,"quality":"neutral"},{"name":"Labha","start":"01:48","end":"03:22","startHours":25.800452489777072,"endHours":27.37001213302207,"quality":"auspicious"},{"name":"Amṛta","start":"03:22","end":"04:56","startHours":27.37001213302207,"endHours":28.939571776267066,"quality":"auspicious"},{"name":"Kāla","start":"04:56","end":"06:31","startHours":28.939571776267066,"endHours":30.509131419512062,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:31","end":"07:31","startHours":6.509131419512063,"endHours":7.509131419512063,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:31","end":"08:31","startHours":7.509131419512063,"endHours":8.509131419512062,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:31","end":"09:31","startHours":8.509131419512062,"endHours":9.509131419512062,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:31","end":"10:31","startHours":9.509131419512062,"endHours":10.509131419512062,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:31","end":"11:31","startHours":10.509131419512062,"endHours":11.509131419512062,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:31","end":"12:31","startHours":11.509131419512062,"endHours":12.509131419512062,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:31","end":"13:31","startHours":12.509131419512062,"endHours":13.509131419512062,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:31","end":"14:31","startHours":13.509131419512062,"endHours":14.509131419512062,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:31","end":"15:31","startHours":14.509131419512062,"endHours":15.509131419512062,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:31","end":"16:31","startHours":15.509131419512062,"endHours":16.509131419512062,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:31","end":"17:31","startHours":16.509131419512062,"endHours":17.509131419512062,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:31","end":"18:31","startHours":17.509131419512062,"endHours":18.509131419512062,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:31","end":"19:31","startHours":18.509131419512062,"endHours":19.509131419512062,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:31","end":"20:31","startHours":19.509131419512062,"endHours":20.509131419512062,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:31","end":"21:31","startHours":20.509131419512062,"endHours":21.509131419512062,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:31","end":"22:31","startHours":21.509131419512062,"endHours":22.509131419512062,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:31","end":"23:31","startHours":22.509131419512062,"endHours":23.509131419512062,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:31","end":"00:31","startHours":23.509131419512062,"endHours":24.509131419512062,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:31","end":"01:31","startHours":24.509131419512062,"endHours":25.509131419512062,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:31","end":"02:31","startHours":25.509131419512062,"endHours":26.509131419512062,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:31","end":"03:31","startHours":26.509131419512062,"endHours":27.509131419512062,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:31","end":"04:31","startHours":27.509131419512062,"endHours":28.509131419512062,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:31","end":"05:31","startHours":28.509131419512062,"endHours":29.509131419512062,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:31","end":"06:31","startHours":29.509131419512062,"endHours":30.509131419512062,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"North","anandadiYoga":{"name":"Dhātṛ","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":-7.7893212129156515,"eotMinutes":14.442429208075392,"ayanamsa":25.4843}},"calendars":{"vikram_samvat":2173,"vikram_samvatsara":"Virodhi","saka_samvat":2038,"saka_samvatsara":"Dhātṛ","bengali_samvat":1523,"malayalam_era":1292,"nanakshahi_year":647,"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 Saptamī · Vikram 2173 Virodhi · Śaka 2038 Dhātṛ"},"festivals":[],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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, 2116 CE · Phoenix, USA · Vidhyamitra","description":"October 13, 2116 CE for Phoenix, USA: Śukla Saptamī, sūryodaya 06:31, sūryāsta 17:57.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/2116-10-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/2116-10-13","sa":"https://sa.vidhyamitra.com/city/phoenix/2116-10-13","hi":"https://hi.vidhyamitra.com/city/phoenix/2116-10-13","x-default":"https://vidhyamitra.com/city/phoenix/2116-10-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T21:56:24.884Z","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":"2026-06-01T21:56:24.884Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T21:56:24.884Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}