{"id":"vidhyamitra:city-day:phoenix:1850-07-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/1850-07-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1850-07-03","date_display":"July 3, 1850 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":1850,"month":7,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2396941.770833,"kali_year":4952,"ahargana":1808476.2708,"sun":{"sidereal_longitude":78.9333,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":355.9843,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":277.051,"elapsed_within_tithi_degrees":1.051},"nakshatra":{"number":27,"name":"Revatī","pada":3,"moon_longitude":355.9843,"elapsed_within_degrees":9.3177},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":74.9177},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":1850,"month":7,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2396941.770833,"ahargana":1808476.2708,"kali_year":4952,"ayanamsa_lahiri":21.7646,"grahas":{"sun":{"sidereal_longitude":78.937255,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":352.403355,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false,"latitude":-3.8051},"mars":{"sidereal_longitude":128.47715500000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":59.606555000000014,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":147.277855,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":112.09065499999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":0.1721549999999752,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":118.2242,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":298.2242,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","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":1850,"month":7,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2396941.770833,"kali_year":4952,"ahargana":1808476.2708,"sun":{"sidereal_longitude":78.9333,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":355.9843,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":277.051,"elapsed_within_tithi_degrees":1.051},"nakshatra":{"number":27,"name":"Revatī","pada":3,"moon_longitude":355.9843,"elapsed_within_degrees":9.3177},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":74.9177},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.805,"elongation":82.949},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.805,"opposition_distance":97.051}},"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":"05:22","sunsetLocal":"19:42","solarNoonLocal":"12:32","dayLengthHours":14.32290994558904,"dayLengthDisplay":"14 Hours 19 Mins 22 Secs","nightLengthDisplay":"9 Hours 40 Mins 38 Secs","moonriseLocal":"00:28","moonsetLocal":"13:04","rahuKala":{"name":"Rāhu Kāla","start":"12:32","end":"14:20","startHours":12.535624178132231,"endHours":14.32598792133086,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:10","end":"08:57","startHours":7.164532948536342,"endHours":8.954896691734973,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:45","end":"12:32","startHours":10.745260434933602,"endHours":12.535624178132231,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:43","end":"09:12","startHours":8.716181525975156,"endHours":9.19361185749479,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:58","end":"06:21","startHours":5.970957119737256,"endHours":6.352901384952964,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"13:01","startHours":12.058193846612596,"endHours":13.013054509651866,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:28","end":"04:25","startHours":3.4644478792591737,"endHours":4.4193085422984435,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:11","end":"05:22","startHours":4.180593376538626,"endHours":5.374169205337712,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:55","end":"15:53","startHours":14.922775835730405,"endHours":15.877636498769675,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:30","end":"19:54","startHours":19.49707915092675,"endHours":19.89707915092675,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:42","end":"20:18","startHours":19.69707915092675,"endHours":20.293867065326292,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:27","end":"21:12","startHours":19.44707915092675,"endHours":21.19707915092675,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"01:01","startHours":24.058193846612596,"endHours":25.013054509651866,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:22","end":"07:10","startHours":5.374169205337712,"endHours":7.164532948536342,"quality":"auspicious"},{"name":"Amṛta","start":"07:10","end":"08:57","startHours":7.164532948536342,"endHours":8.954896691734973,"quality":"auspicious"},{"name":"Kāla","start":"08:57","end":"10:45","startHours":8.954896691734973,"endHours":10.745260434933602,"quality":"inauspicious"},{"name":"Śubha","start":"10:45","end":"12:32","startHours":10.745260434933602,"endHours":12.535624178132231,"quality":"auspicious"},{"name":"Roga","start":"12:32","end":"14:20","startHours":12.535624178132231,"endHours":14.32598792133086,"quality":"inauspicious"},{"name":"Udveg","start":"14:20","end":"16:07","startHours":14.32598792133086,"endHours":16.116351664529493,"quality":"inauspicious"},{"name":"Chala","start":"16:07","end":"17:54","startHours":16.116351664529493,"endHours":17.90671540772812,"quality":"neutral"},{"name":"Labha","start":"17:54","end":"19:42","startHours":17.90671540772812,"endHours":19.69707915092675,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:42","end":"20:54","startHours":19.69707915092675,"endHours":20.90671540772812,"quality":"inauspicious"},{"name":"Chala","start":"20:54","end":"22:07","startHours":20.90671540772812,"endHours":22.11635166452949,"quality":"neutral"},{"name":"Labha","start":"22:07","end":"23:20","startHours":22.11635166452949,"endHours":23.32598792133086,"quality":"auspicious"},{"name":"Amṛta","start":"23:20","end":"00:32","startHours":23.32598792133086,"endHours":24.53562417813223,"quality":"auspicious"},{"name":"Kāla","start":"00:32","end":"01:45","startHours":24.53562417813223,"endHours":25.745260434933602,"quality":"inauspicious"},{"name":"Śubha","start":"01:45","end":"02:57","startHours":25.745260434933602,"endHours":26.954896691734973,"quality":"auspicious"},{"name":"Roga","start":"02:57","end":"04:10","startHours":26.954896691734973,"endHours":28.16453294853634,"quality":"inauspicious"},{"name":"Udveg","start":"04:10","end":"05:22","startHours":28.16453294853634,"endHours":29.37416920533771,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:22","end":"06:22","startHours":5.374169205337712,"endHours":6.374169205337712,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:22","end":"07:22","startHours":6.374169205337712,"endHours":7.374169205337712,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:22","end":"08:22","startHours":7.374169205337712,"endHours":8.374169205337711,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:22","end":"09:22","startHours":8.374169205337711,"endHours":9.374169205337711,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:22","end":"10:22","startHours":9.374169205337711,"endHours":10.374169205337711,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:22","end":"11:22","startHours":10.374169205337711,"endHours":11.374169205337711,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:22","end":"12:22","startHours":11.374169205337711,"endHours":12.374169205337711,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:22","end":"13:22","startHours":12.374169205337711,"endHours":13.374169205337711,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:22","end":"14:22","startHours":13.374169205337711,"endHours":14.374169205337711,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:22","end":"15:22","startHours":14.374169205337711,"endHours":15.374169205337711,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:22","end":"16:22","startHours":15.374169205337711,"endHours":16.37416920533771,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:22","end":"17:22","startHours":16.37416920533771,"endHours":17.37416920533771,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:22","end":"18:22","startHours":17.37416920533771,"endHours":18.37416920533771,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:22","end":"19:22","startHours":18.37416920533771,"endHours":19.37416920533771,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:22","end":"20:22","startHours":19.37416920533771,"endHours":20.37416920533771,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:22","end":"21:22","startHours":20.37416920533771,"endHours":21.37416920533771,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:22","end":"22:22","startHours":21.37416920533771,"endHours":22.37416920533771,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:22","end":"23:22","startHours":22.37416920533771,"endHours":23.37416920533771,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:22","end":"00:22","startHours":23.37416920533771,"endHours":24.37416920533771,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:22","end":"01:22","startHours":24.37416920533771,"endHours":25.37416920533771,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:22","end":"02:22","startHours":25.37416920533771,"endHours":26.37416920533771,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:22","end":"03:22","startHours":26.37416920533771,"endHours":27.37416920533771,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:22","end":"04:22","startHours":27.37416920533771,"endHours":28.37416920533771,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:22","end":"05:22","startHours":28.37416920533771,"endHours":29.37416920533771,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"South-West","anandadiYoga":{"name":"Chatra","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":23.005196618279783,"eotMinutes":-3.8414506879338766,"ayanamsa":21.7646}},"calendars":{"vikram_samvat":1907,"vikram_samvatsara":"Rudhirodgāri","saka_samvat":1772,"saka_samvatsara":"Sādhāraṇa","bengali_samvat":1257,"malayalam_era":1026,"nanakshahi_year":381,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Jyeṣṭha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Navamī · Vikram 1907 Rudhirodgāri · Śaka 1772 Sādhāraṇa"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 July 3, 1850 CE · Phoenix, USA · Vidhyamitra","description":"July 3, 1850 CE for Phoenix, USA: Kṛṣṇa Navamī, sūryodaya 05:22, sūryāsta 19:42.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/1850-07-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/1850-07-03","sa":"https://sa.vidhyamitra.com/city/phoenix/1850-07-03","hi":"https://hi.vidhyamitra.com/city/phoenix/1850-07-03","x-default":"https://vidhyamitra.com/city/phoenix/1850-07-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T14:18:08.157Z","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":"2026-06-02T14:18:08.157Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T14:18:08.157Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}