{"id":"vidhyamitra:city-day:phoenix:2121-09-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/2121-09-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2121-09-07","date_display":"September 7, 2121 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":2121,"month":9,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495988.770833,"kali_year":5223,"ahargana":1907523.2708,"sun":{"sidereal_longitude":137.928,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":81.707,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":303.7789,"elapsed_within_tithi_degrees":3.7789},"nakshatra":{"number":7,"name":"Punarvasu","pada":1,"moon_longitude":81.707,"elapsed_within_degrees":1.707},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":219.635},"karana":{"half_tithi_index":50,"name":"Bava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2121,"month":9,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2495988.770833,"ahargana":1907523.2708,"kali_year":5223,"ayanamsa_lahiri":25.5528,"grahas":{"sun":{"sidereal_longitude":138.924032,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":84.83583199999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false,"latitude":0.6668},"mars":{"sidereal_longitude":181.80643199999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":156.729832,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":111.31373199999996,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":114.02843200000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":79.09133199999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":270.2375,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":90.2375,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","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":2121,"month":9,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495988.770833,"kali_year":5223,"ahargana":1907523.2708,"sun":{"sidereal_longitude":137.928,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":81.707,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":303.7789,"elapsed_within_tithi_degrees":3.7789},"nakshatra":{"number":7,"name":"Punarvasu","pada":1,"moon_longitude":81.707,"elapsed_within_degrees":1.707},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":219.635},"karana":{"half_tithi_index":50,"name":"Bava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.667,"elongation":56.221},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.667,"opposition_distance":123.779}},"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":"06:05","sunsetLocal":"18:46","solarNoonLocal":"12:26","dayLengthHours":12.674991678833562,"dayLengthDisplay":"12 Hours 40 Mins 30 Secs","nightLengthDisplay":"11 Hours 19 Mins 30 Secs","moonriseLocal":"01:45","moonsetLocal":"15:54","rahuKala":{"name":"Rāhu Kāla","start":"17:11","end":"18:46","startHours":17.182086896711873,"endHours":18.76646085656607,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:26","end":"14:01","startHours":12.428965017149288,"endHours":14.013338977003485,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:36","end":"17:11","startHours":15.597712936857679,"endHours":17.182086896711873,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:03","end":"09:28","startHours":9.048967236127005,"endHours":9.47146695875479,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:37","end":"06:57","startHours":6.61959383101724,"endHours":6.957593609119469,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:00","end":"12:51","startHours":12.006465294521503,"endHours":12.851464739777073,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:24","end":"05:15","startHours":4.4014702872213665,"endHours":5.246469732476937,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:02","end":"06:05","startHours":5.0352198711630445,"endHours":6.091469177732508,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:32","end":"15:23","startHours":14.541463630288217,"endHours":15.386463075543787,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:34","end":"18:58","startHours":18.56646085656607,"endHours":18.96646085656607,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:46","end":"19:18","startHours":18.76646085656607,"endHours":19.2945855098508,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:31","end":"20:16","startHours":18.51646085656607,"endHours":20.26646085656607,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:00","end":"00:51","startHours":24.0064652945215,"endHours":24.851464739777075,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:05","end":"07:41","startHours":6.091469177732508,"endHours":7.675843137586703,"quality":"inauspicious"},{"name":"Chala","start":"07:41","end":"09:16","startHours":7.675843137586703,"endHours":9.260217097440899,"quality":"neutral"},{"name":"Labha","start":"09:16","end":"10:51","startHours":9.260217097440899,"endHours":10.844591057295094,"quality":"auspicious"},{"name":"Amṛta","start":"10:51","end":"12:26","startHours":10.844591057295094,"endHours":12.428965017149288,"quality":"auspicious"},{"name":"Kāla","start":"12:26","end":"14:01","startHours":12.428965017149288,"endHours":14.013338977003485,"quality":"inauspicious"},{"name":"Śubha","start":"14:01","end":"15:36","startHours":14.013338977003485,"endHours":15.597712936857679,"quality":"auspicious"},{"name":"Roga","start":"15:36","end":"17:11","startHours":15.597712936857679,"endHours":17.182086896711873,"quality":"inauspicious"},{"name":"Udveg","start":"17:11","end":"18:46","startHours":17.182086896711873,"endHours":18.76646085656607,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:46","end":"20:11","startHours":18.76646085656607,"endHours":20.182086896711876,"quality":"auspicious"},{"name":"Roga","start":"20:11","end":"21:36","startHours":20.182086896711876,"endHours":21.59771293685768,"quality":"inauspicious"},{"name":"Udveg","start":"21:36","end":"23:01","startHours":21.59771293685768,"endHours":23.013338977003485,"quality":"inauspicious"},{"name":"Chala","start":"23:01","end":"00:26","startHours":23.013338977003485,"endHours":24.428965017149288,"quality":"neutral"},{"name":"Labha","start":"00:26","end":"01:51","startHours":24.428965017149288,"endHours":25.844591057295094,"quality":"auspicious"},{"name":"Amṛta","start":"01:51","end":"03:16","startHours":25.844591057295094,"endHours":27.2602170974409,"quality":"auspicious"},{"name":"Kāla","start":"03:16","end":"04:41","startHours":27.2602170974409,"endHours":28.675843137586703,"quality":"inauspicious"},{"name":"Śubha","start":"04:41","end":"06:05","startHours":28.675843137586703,"endHours":30.091469177732506,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:05","end":"07:05","startHours":6.091469177732508,"endHours":7.091469177732508,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:05","end":"08:05","startHours":7.091469177732508,"endHours":8.091469177732508,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:05","end":"09:05","startHours":8.091469177732508,"endHours":9.091469177732508,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:05","end":"10:05","startHours":9.091469177732508,"endHours":10.091469177732508,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:05","end":"11:05","startHours":10.091469177732508,"endHours":11.091469177732508,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:05","end":"12:05","startHours":11.091469177732508,"endHours":12.091469177732508,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:05","end":"13:05","startHours":12.091469177732508,"endHours":13.091469177732508,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:05","end":"14:05","startHours":13.091469177732508,"endHours":14.091469177732508,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:05","end":"15:05","startHours":14.091469177732508,"endHours":15.091469177732508,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:05","end":"16:05","startHours":15.091469177732508,"endHours":16.091469177732506,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:05","end":"17:05","startHours":16.091469177732506,"endHours":17.091469177732506,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:05","end":"18:05","startHours":17.091469177732506,"endHours":18.091469177732506,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:05","end":"19:05","startHours":18.091469177732506,"endHours":19.091469177732506,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:05","end":"20:05","startHours":19.091469177732506,"endHours":20.091469177732506,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:05","end":"21:05","startHours":20.091469177732506,"endHours":21.091469177732506,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:05","end":"22:05","startHours":21.091469177732506,"endHours":22.091469177732506,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:05","end":"23:05","startHours":22.091469177732506,"endHours":23.091469177732506,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:05","end":"00:05","startHours":23.091469177732506,"endHours":24.091469177732506,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:05","end":"01:05","startHours":24.091469177732506,"endHours":25.091469177732506,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:05","end":"02:05","startHours":25.091469177732506,"endHours":26.091469177732506,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:05","end":"03:05","startHours":26.091469177732506,"endHours":27.091469177732506,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:05","end":"04:05","startHours":27.091469177732506,"endHours":28.091469177732506,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:05","end":"05:05","startHours":28.091469177732506,"endHours":29.091469177732506,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:05","end":"06:05","startHours":29.091469177732506,"endHours":30.091469177732506,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Dhvaja","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":6.110387860888584,"eotMinutes":2.5580989710426816,"ayanamsa":25.5528}},"calendars":{"vikram_samvat":2178,"vikram_samvatsara":"Jaya","saka_samvat":2043,"saka_samvatsara":"Vṛṣa","bengali_samvat":1528,"malayalam_era":1297,"nanakshahi_year":652,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","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":"Bhādrapada Kṛṣṇa Ekādaśī · Vikram 2178 Jaya · Śaka 2043 Vṛṣa"},"festivals":[{"id":"indira-ekadashi","name":"Indirā Ekādaśī","name_sanskrit":"इन्दिरा एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Falls in Pitṛ Pakṣa; liberates ancestors from naraka.","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","lunar_month":"Bhādrapada"},"precedence":3},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Punarvasu","url":"/day/-1626101-04-03","relevance":0.5}]},"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 September 7, 2121 CE · Phoenix, USA · Vidhyamitra","description":"September 7, 2121 CE for Phoenix, USA: Kṛṣṇa Ekādaśī, sūryodaya 06:05, sūryāsta 18:46.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/2121-09-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/2121-09-07","sa":"https://sa.vidhyamitra.com/city/phoenix/2121-09-07","hi":"https://hi.vidhyamitra.com/city/phoenix/2121-09-07","x-default":"https://vidhyamitra.com/city/phoenix/2121-09-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T19:04:11.020Z","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":"2026-06-02T19:04:11.020Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T19:04:11.020Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}