{"id":"vidhyamitra:city-day:phoenix:2021-10-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/2021-10-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2021-10-01","date_display":"October 1, 2021 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":2021,"month":10,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459488.770833,"kali_year":5123,"ahargana":1871023.2708,"sun":{"sidereal_longitude":163.1379,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":96.8987,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":293.7608,"elapsed_within_tithi_degrees":5.7608},"nakshatra":{"number":8,"name":"Puṣya","pada":2,"moon_longitude":96.8987,"elapsed_within_degrees":3.5653},"yoga":{"number":20,"name":"Śiva","sum_longitude":260.0366},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2021,"month":10,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2459488.770833,"ahargana":1871023.2708,"kali_year":5123,"ayanamsa_lahiri":24.1568,"grahas":{"sun":{"sidereal_longitude":163.9361,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"moon":{"sidereal_longitude":95.82499999999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false,"latitude":3.579},"mars":{"sidereal_longitude":165.93539999999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":180.4266,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":298.6364,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":208.48990000000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":282.83989999999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":44.1831,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":224.1831,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","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":2021,"month":10,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459488.770833,"kali_year":5123,"ahargana":1871023.2708,"sun":{"sidereal_longitude":163.1379,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":96.8987,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":293.7608,"elapsed_within_tithi_degrees":5.7608},"nakshatra":{"number":8,"name":"Puṣya","pada":2,"moon_longitude":96.8987,"elapsed_within_degrees":3.5653},"yoga":{"number":20,"name":"Śiva","sum_longitude":260.0366},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.579,"elongation":66.239},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.579,"opposition_distance":113.761}},"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":"06:22","sunsetLocal":"18:13","solarNoonLocal":"12:17","dayLengthHours":11.850296140810421,"dayLengthDisplay":"11 Hours 51 Mins 01 Secs","nightLengthDisplay":"12 Hours 08 Mins 59 Secs","moonriseLocal":"00:45","moonsetLocal":"14:44","rahuKala":{"name":"Rāhu Kāla","start":"10:48","end":"12:17","startHours":10.804183579288956,"endHours":12.28547059689026,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:15","end":"16:44","startHours":15.248044632092864,"endHours":16.729331649694167,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:50","end":"09:19","startHours":7.841609544086351,"endHours":9.322896561687653,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:08","end":"09:31","startHours":9.125391626007481,"endHours":9.520401497367828,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:51","end":"07:10","startHours":6.854084865685483,"endHours":7.170092762773761,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:53","end":"12:41","startHours":11.890460725529913,"endHours":12.680480468250607,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:47","end":"05:34","startHours":4.780283041043659,"endHours":5.570302783764354,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:22","end":"06:22","startHours":5.37279784808418,"endHours":6.3603225264850485,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:16","end":"15:03","startHours":14.260519953691997,"endHours":15.050539696412692,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:01","end":"18:25","startHours":18.01061866729547,"endHours":18.41061866729547,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:13","end":"18:42","startHours":18.21061866729547,"endHours":18.704381006495904,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:58","end":"19:43","startHours":17.96061866729547,"endHours":19.71061866729547,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:53","end":"00:41","startHours":23.890460725529913,"endHours":24.680480468250607,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:22","end":"07:50","startHours":6.3603225264850485,"endHours":7.841609544086351,"quality":"neutral"},{"name":"Labha","start":"07:50","end":"09:19","startHours":7.841609544086351,"endHours":9.322896561687653,"quality":"auspicious"},{"name":"Amṛta","start":"09:19","end":"10:48","startHours":9.322896561687653,"endHours":10.804183579288956,"quality":"auspicious"},{"name":"Kāla","start":"10:48","end":"12:17","startHours":10.804183579288956,"endHours":12.28547059689026,"quality":"inauspicious"},{"name":"Śubha","start":"12:17","end":"13:46","startHours":12.28547059689026,"endHours":13.766757614491562,"quality":"auspicious"},{"name":"Roga","start":"13:46","end":"15:15","startHours":13.766757614491562,"endHours":15.248044632092864,"quality":"inauspicious"},{"name":"Udveg","start":"15:15","end":"16:44","startHours":15.248044632092864,"endHours":16.729331649694167,"quality":"inauspicious"},{"name":"Chala","start":"16:44","end":"18:13","startHours":16.729331649694167,"endHours":18.21061866729547,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:13","end":"19:44","startHours":18.21061866729547,"endHours":19.729331649694167,"quality":"inauspicious"},{"name":"Udveg","start":"19:44","end":"21:15","startHours":19.729331649694167,"endHours":21.248044632092864,"quality":"inauspicious"},{"name":"Chala","start":"21:15","end":"22:46","startHours":21.248044632092864,"endHours":22.766757614491564,"quality":"neutral"},{"name":"Labha","start":"22:46","end":"00:17","startHours":22.766757614491564,"endHours":24.28547059689026,"quality":"auspicious"},{"name":"Amṛta","start":"00:17","end":"01:48","startHours":24.28547059689026,"endHours":25.804183579288956,"quality":"auspicious"},{"name":"Kāla","start":"01:48","end":"03:19","startHours":25.804183579288956,"endHours":27.322896561687656,"quality":"inauspicious"},{"name":"Śubha","start":"03:19","end":"04:50","startHours":27.322896561687656,"endHours":28.841609544086353,"quality":"auspicious"},{"name":"Roga","start":"04:50","end":"06:22","startHours":28.841609544086353,"endHours":30.36032252648505,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:22","end":"07:22","startHours":6.3603225264850485,"endHours":7.3603225264850485,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:22","end":"08:22","startHours":7.3603225264850485,"endHours":8.36032252648505,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:22","end":"09:22","startHours":8.36032252648505,"endHours":9.36032252648505,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:22","end":"10:22","startHours":9.36032252648505,"endHours":10.36032252648505,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:22","end":"11:22","startHours":10.36032252648505,"endHours":11.36032252648505,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:22","end":"12:22","startHours":11.36032252648505,"endHours":12.36032252648505,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:22","end":"13:22","startHours":12.36032252648505,"endHours":13.36032252648505,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:22","end":"14:22","startHours":13.36032252648505,"endHours":14.36032252648505,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:22","end":"15:22","startHours":14.36032252648505,"endHours":15.36032252648505,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:22","end":"16:22","startHours":15.36032252648505,"endHours":16.36032252648505,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:22","end":"17:22","startHours":16.36032252648505,"endHours":17.36032252648505,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:22","end":"18:22","startHours":17.36032252648505,"endHours":18.36032252648505,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:22","end":"19:22","startHours":18.36032252648505,"endHours":19.36032252648505,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:22","end":"20:22","startHours":19.36032252648505,"endHours":20.36032252648505,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:22","end":"21:22","startHours":20.36032252648505,"endHours":21.36032252648505,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:22","end":"22:22","startHours":21.36032252648505,"endHours":22.36032252648505,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:22","end":"23:22","startHours":22.36032252648505,"endHours":23.36032252648505,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:22","end":"00:22","startHours":23.36032252648505,"endHours":24.36032252648505,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:22","end":"01:22","startHours":24.36032252648505,"endHours":25.36032252648505,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:22","end":"02:22","startHours":25.36032252648505,"endHours":26.36032252648505,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:22","end":"03:22","startHours":26.36032252648505,"endHours":27.36032252648505,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:22","end":"04:22","startHours":27.36032252648505,"endHours":28.36032252648505,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:22","end":"05:22","startHours":28.36032252648505,"endHours":29.36032252648505,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:22","end":"06:22","startHours":29.36032252648505,"endHours":30.36032252648505,"planetary_lord":"Mars"}],"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":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"South-East","anandadiYoga":{"name":"Dhātṛ","quality":"Auspicious"},"drikRitu":"Śarad (Autumn) (Drik)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-3.209795347108107,"eotMinutes":11.167764186584405,"ayanamsa":24.1568}},"calendars":{"vikram_samvat":2078,"vikram_samvatsara":"Ānanda","saka_samvat":1943,"saka_samvatsara":"Plava","bengali_samvat":1428,"malayalam_era":1197,"nanakshahi_year":552,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Daśamī · Vikram 2078 Ānanda · Śaka 1943 Plava"},"festivals":[{"id":"kanya-sankranti","name":"Kanyā Saṅkrānti (Mahālaya begins)","name_sanskrit":"कन्या सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Virgo; Mahālaya / Pitṛ-Pakṣa solar marker.","vrata":false,"detection":{"sun_rashi":"Kanyā"},"precedence":4}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 1, 2021 CE · Phoenix, USA · Vidhyamitra","description":"October 1, 2021 CE for Phoenix, USA: Kṛṣṇa Daśamī, sūryodaya 06:22, sūryāsta 18:13.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/2021-10-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/2021-10-01","sa":"https://sa.vidhyamitra.com/city/phoenix/2021-10-01","hi":"https://hi.vidhyamitra.com/city/phoenix/2021-10-01","x-default":"https://vidhyamitra.com/city/phoenix/2021-10-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T22:37:20.207Z","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":"2026-05-14T22:37:20.207Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T22:37:20.207Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}