{"id":"vidhyamitra:city-day:phoenix:1845-08-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/1845-08-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1845-08-01","date_display":"August 1, 1845 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":1845,"month":8,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2395144.770833,"kali_year":4947,"ahargana":1806679.2708,"sun":{"sidereal_longitude":106.7107,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":80.7762,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":334.0655,"elapsed_within_tithi_degrees":10.0655},"nakshatra":{"number":7,"name":"Punarvasu","pada":1,"moon_longitude":80.7762,"elapsed_within_degrees":0.7762},"yoga":{"number":15,"name":"Vajra","sum_longitude":187.4869},"karana":{"half_tithi_index":55,"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":1845,"month":8,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2395144.770833,"ahargana":1806679.2708,"kali_year":4947,"ayanamsa_lahiri":21.6959,"grahas":{"sun":{"sidereal_longitude":106.88761399999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":81.881414,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false,"latitude":-3.3076},"mars":{"sidereal_longitude":309.888914,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":true},"mercury":{"sidereal_longitude":132.287714,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":19.838013999999987,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":129.88831400000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":296.561414,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":213.4379,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":33.4379,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","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":1845,"month":8,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2395144.770833,"kali_year":4947,"ahargana":1806679.2708,"sun":{"sidereal_longitude":106.7107,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":80.7762,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":334.0655,"elapsed_within_tithi_degrees":10.0655},"nakshatra":{"number":7,"name":"Punarvasu","pada":1,"moon_longitude":80.7762,"elapsed_within_degrees":0.7762},"yoga":{"number":15,"name":"Vajra","sum_longitude":187.4869},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.308,"elongation":25.935},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.308,"opposition_distance":154.065}},"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":"05:40","sunsetLocal":"19:29","solarNoonLocal":"12:34","dayLengthHours":13.807693651487645,"dayLengthDisplay":"13 Hours 48 Mins 28 Secs","nightLengthDisplay":"10 Hours 11 Mins 32 Secs","moonriseLocal":"03:47","moonsetLocal":"18:02","rahuKala":{"name":"Rāhu Kāla","start":"10:51","end":"12:34","startHours":10.84593279134255,"endHours":12.571894497778505,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"16:01","end":"17:45","startHours":16.023817910650415,"endHours":17.749779617086375,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:24","end":"09:07","startHours":7.394009378470639,"endHours":9.119971084906595,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:53","end":"09:21","startHours":8.889842857381801,"endHours":9.35009931243139,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:15","end":"06:37","startHours":6.243368240846669,"endHours":6.6115734048863395,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"13:02","startHours":12.111638042728917,"endHours":13.032150952828093,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:50","end":"04:45","startHours":3.8270218518363306,"endHours":4.7475347619355075,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:31","end":"05:40","startHours":4.517406534410713,"endHours":5.6680476720346835,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:52","end":"15:48","startHours":14.873176773026447,"endHours":15.793689683125624,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:17","end":"19:41","startHours":19.27574132352233,"endHours":19.675741323522328,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:29","end":"20:03","startHours":19.47574132352233,"endHours":20.051061892334314,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:14","end":"20:59","startHours":19.22574132352233,"endHours":20.97574132352233,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"01:02","startHours":24.111638042728917,"endHours":25.032150952828093,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:40","end":"07:24","startHours":5.6680476720346835,"endHours":7.394009378470639,"quality":"neutral"},{"name":"Labha","start":"07:24","end":"09:07","startHours":7.394009378470639,"endHours":9.119971084906595,"quality":"auspicious"},{"name":"Amṛta","start":"09:07","end":"10:51","startHours":9.119971084906595,"endHours":10.84593279134255,"quality":"auspicious"},{"name":"Kāla","start":"10:51","end":"12:34","startHours":10.84593279134255,"endHours":12.571894497778505,"quality":"inauspicious"},{"name":"Śubha","start":"12:34","end":"14:18","startHours":12.571894497778505,"endHours":14.297856204214462,"quality":"auspicious"},{"name":"Roga","start":"14:18","end":"16:01","startHours":14.297856204214462,"endHours":16.023817910650415,"quality":"inauspicious"},{"name":"Udveg","start":"16:01","end":"17:45","startHours":16.023817910650415,"endHours":17.749779617086375,"quality":"inauspicious"},{"name":"Chala","start":"17:45","end":"19:29","startHours":17.749779617086375,"endHours":19.47574132352233,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"19:29","end":"20:45","startHours":19.47574132352233,"endHours":20.74977961708637,"quality":"inauspicious"},{"name":"Udveg","start":"20:45","end":"22:01","startHours":20.74977961708637,"endHours":22.02381791065042,"quality":"inauspicious"},{"name":"Chala","start":"22:01","end":"23:18","startHours":22.02381791065042,"endHours":23.29785620421446,"quality":"neutral"},{"name":"Labha","start":"23:18","end":"00:34","startHours":23.29785620421446,"endHours":24.571894497778505,"quality":"auspicious"},{"name":"Amṛta","start":"00:34","end":"01:51","startHours":24.571894497778505,"endHours":25.84593279134255,"quality":"auspicious"},{"name":"Kāla","start":"01:51","end":"03:07","startHours":25.84593279134255,"endHours":27.119971084906595,"quality":"inauspicious"},{"name":"Śubha","start":"03:07","end":"04:24","startHours":27.119971084906595,"endHours":28.39400937847064,"quality":"auspicious"},{"name":"Roga","start":"04:24","end":"05:40","startHours":28.39400937847064,"endHours":29.66804767203468,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:40","end":"06:40","startHours":5.6680476720346835,"endHours":6.6680476720346835,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:40","end":"07:40","startHours":6.6680476720346835,"endHours":7.6680476720346835,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:40","end":"08:40","startHours":7.6680476720346835,"endHours":8.668047672034684,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:40","end":"09:40","startHours":8.668047672034684,"endHours":9.668047672034684,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:40","end":"10:40","startHours":9.668047672034684,"endHours":10.668047672034684,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:40","end":"11:40","startHours":10.668047672034684,"endHours":11.668047672034684,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:40","end":"12:40","startHours":11.668047672034684,"endHours":12.668047672034684,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:40","end":"13:40","startHours":12.668047672034684,"endHours":13.668047672034684,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:40","end":"14:40","startHours":13.668047672034684,"endHours":14.668047672034684,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:40","end":"15:40","startHours":14.668047672034684,"endHours":15.668047672034684,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:40","end":"16:40","startHours":15.668047672034684,"endHours":16.66804767203468,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:40","end":"17:40","startHours":16.66804767203468,"endHours":17.66804767203468,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:40","end":"18:40","startHours":17.66804767203468,"endHours":18.66804767203468,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:40","end":"19:40","startHours":18.66804767203468,"endHours":19.66804767203468,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:40","end":"20:40","startHours":19.66804767203468,"endHours":20.66804767203468,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:40","end":"21:40","startHours":20.66804767203468,"endHours":21.66804767203468,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:40","end":"22:40","startHours":21.66804767203468,"endHours":22.66804767203468,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:40","end":"23:40","startHours":22.66804767203468,"endHours":23.66804767203468,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:40","end":"00:40","startHours":23.66804767203468,"endHours":24.66804767203468,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:40","end":"01:40","startHours":24.66804767203468,"endHours":25.66804767203468,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:40","end":"02:40","startHours":25.66804767203468,"endHours":26.66804767203468,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:40","end":"03:40","startHours":26.66804767203468,"endHours":27.66804767203468,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:40","end":"04:40","startHours":27.66804767203468,"endHours":28.66804767203468,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:40","end":"05:40","startHours":28.66804767203468,"endHours":29.66804767203468,"planetary_lord":"Mars"}],"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":"South-East","anandadiYoga":{"name":"Sushira","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.11392589120367,"eotMinutes":-6.017669866710306,"ayanamsa":21.6959}},"calendars":{"vikram_samvat":1902,"vikram_samvatsara":"Kālayukta","saka_samvat":1767,"saka_samvatsara":"Viśvāvasu","bengali_samvat":1252,"malayalam_era":1021,"nanakshahi_year":376,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Trayodaśī · Vikram 1902 Kālayukta · Śaka 1767 Viśvāvasu"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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":[{"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 August 1, 1845 CE · Phoenix, USA · Vidhyamitra","description":"August 1, 1845 CE for Phoenix, USA: Kṛṣṇa Trayodaśī, sūryodaya 05:40, sūryāsta 19:29.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/1845-08-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/1845-08-01","sa":"https://sa.vidhyamitra.com/city/phoenix/1845-08-01","hi":"https://hi.vidhyamitra.com/city/phoenix/1845-08-01","x-default":"https://vidhyamitra.com/city/phoenix/1845-08-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T22:07:32.783Z","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":"2026-06-02T22:07:32.783Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T22:07:32.783Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}