{"id":"vidhyamitra:city-day:phoenix:1864-07-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/1864-07-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1864-07-13","date_display":"July 13, 1864 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":1864,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2402065.770833,"kali_year":4966,"ahargana":1813600.2708,"sun":{"sidereal_longitude":88.7583,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":191.6125,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":102.8542,"elapsed_within_tithi_degrees":6.8542},"nakshatra":{"number":15,"name":"Svātī","pada":2,"moon_longitude":191.6125,"elapsed_within_degrees":4.9458},"yoga":{"number":22,"name":"Sādhya","sum_longitude":280.3708},"karana":{"half_tithi_index":17,"name":"Kaulava"},"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":1864,"month":7,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2402065.770833,"ahargana":1813600.2708,"kali_year":4966,"ayanamsa_lahiri":21.9606,"grahas":{"sun":{"sidereal_longitude":88.86538100000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"moon":{"sidereal_longitude":188.98318100000006,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false,"latitude":-1.1725},"mars":{"sidereal_longitude":12.819980999999984,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":85.48608100000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":207.989781,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":89.25728100000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":171.05848100000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":206.73,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":26.73,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"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":1864,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2402065.770833,"kali_year":4966,"ahargana":1813600.2708,"sun":{"sidereal_longitude":88.7583,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":191.6125,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":102.8542,"elapsed_within_tithi_degrees":6.8542},"nakshatra":{"number":15,"name":"Svātī","pada":2,"moon_longitude":191.6125,"elapsed_within_degrees":4.9458},"yoga":{"number":22,"name":"Sādhya","sum_longitude":280.3708},"karana":{"half_tithi_index":17,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.172,"elongation":102.854},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.172,"opposition_distance":77.146}},"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":"05:28","sunsetLocal":"19:39","solarNoonLocal":"12:34","dayLengthHours":14.19429313193931,"dayLengthDisplay":"14 Hours 11 Mins 39 Secs","nightLengthDisplay":"9 Hours 48 Mins 21 Secs","moonriseLocal":"13:43","moonsetLocal":"00:45","rahuKala":{"name":"Rāhu Kāla","start":"12:34","end":"14:20","startHours":12.56095714743601,"endHours":14.335243788928425,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:14","end":"09:01","startHours":7.23809722295877,"endHours":9.012383864451184,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:47","end":"12:34","startHours":10.786670505943597,"endHours":12.56095714743601,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:47","end":"09:15","startHours":8.775812312252196,"endHours":9.248955416650173,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:03","end":"06:26","startHours":6.0552394619638275,"endHours":6.433753945482209,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:05","end":"13:02","startHours":12.087814043038033,"endHours":13.034100251833987,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:34","end":"04:31","startHours":3.5712381638744484,"endHours":4.517524372670403,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:17","end":"05:28","startHours":4.2809528204714145,"endHours":5.4638105814663565,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:56","end":"15:52","startHours":14.926672669425896,"endHours":15.87295887822185,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:27","end":"19:51","startHours":19.458103713405666,"endHours":19.858103713405665,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:39","end":"20:15","startHours":19.658103713405666,"endHours":20.249532593903137,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:24","end":"21:09","startHours":19.408103713405666,"endHours":21.158103713405666,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:05","end":"01:02","startHours":24.087814043038033,"endHours":25.034100251833987,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:28","end":"07:14","startHours":5.4638105814663565,"endHours":7.23809722295877,"quality":"auspicious"},{"name":"Amṛta","start":"07:14","end":"09:01","startHours":7.23809722295877,"endHours":9.012383864451184,"quality":"auspicious"},{"name":"Kāla","start":"09:01","end":"10:47","startHours":9.012383864451184,"endHours":10.786670505943597,"quality":"inauspicious"},{"name":"Śubha","start":"10:47","end":"12:34","startHours":10.786670505943597,"endHours":12.56095714743601,"quality":"auspicious"},{"name":"Roga","start":"12:34","end":"14:20","startHours":12.56095714743601,"endHours":14.335243788928425,"quality":"inauspicious"},{"name":"Udveg","start":"14:20","end":"16:07","startHours":14.335243788928425,"endHours":16.10953043042084,"quality":"inauspicious"},{"name":"Chala","start":"16:07","end":"17:53","startHours":16.10953043042084,"endHours":17.883817071913253,"quality":"neutral"},{"name":"Labha","start":"17:53","end":"19:39","startHours":17.883817071913253,"endHours":19.658103713405666,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:39","end":"20:53","startHours":19.658103713405666,"endHours":20.883817071913253,"quality":"inauspicious"},{"name":"Chala","start":"20:53","end":"22:07","startHours":20.883817071913253,"endHours":22.10953043042084,"quality":"neutral"},{"name":"Labha","start":"22:07","end":"23:20","startHours":22.10953043042084,"endHours":23.335243788928423,"quality":"auspicious"},{"name":"Amṛta","start":"23:20","end":"00:34","startHours":23.335243788928423,"endHours":24.56095714743601,"quality":"auspicious"},{"name":"Kāla","start":"00:34","end":"01:47","startHours":24.56095714743601,"endHours":25.786670505943597,"quality":"inauspicious"},{"name":"Śubha","start":"01:47","end":"03:01","startHours":25.786670505943597,"endHours":27.012383864451184,"quality":"auspicious"},{"name":"Roga","start":"03:01","end":"04:14","startHours":27.012383864451184,"endHours":28.23809722295877,"quality":"inauspicious"},{"name":"Udveg","start":"04:14","end":"05:28","startHours":28.23809722295877,"endHours":29.463810581466355,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:28","end":"06:28","startHours":5.4638105814663565,"endHours":6.4638105814663565,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:28","end":"07:28","startHours":6.4638105814663565,"endHours":7.4638105814663565,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:28","end":"08:28","startHours":7.4638105814663565,"endHours":8.463810581466356,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:28","end":"09:28","startHours":8.463810581466356,"endHours":9.463810581466356,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:28","end":"10:28","startHours":9.463810581466356,"endHours":10.463810581466356,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:28","end":"11:28","startHours":10.463810581466356,"endHours":11.463810581466356,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:28","end":"12:28","startHours":11.463810581466356,"endHours":12.463810581466356,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:28","end":"13:28","startHours":12.463810581466356,"endHours":13.463810581466356,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:28","end":"14:28","startHours":13.463810581466356,"endHours":14.463810581466356,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:28","end":"15:28","startHours":14.463810581466356,"endHours":15.463810581466356,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:28","end":"16:28","startHours":15.463810581466356,"endHours":16.463810581466355,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:28","end":"17:28","startHours":16.463810581466355,"endHours":17.463810581466355,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:28","end":"18:28","startHours":17.463810581466355,"endHours":18.463810581466355,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:28","end":"19:28","startHours":18.463810581466355,"endHours":19.463810581466355,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:28","end":"20:28","startHours":19.463810581466355,"endHours":20.463810581466355,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:28","end":"21:28","startHours":20.463810581466355,"endHours":21.463810581466355,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:28","end":"22:28","startHours":21.463810581466355,"endHours":22.463810581466355,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:28","end":"23:28","startHours":22.463810581466355,"endHours":23.463810581466355,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:28","end":"00:28","startHours":23.463810581466355,"endHours":24.463810581466355,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:28","end":"01:28","startHours":24.463810581466355,"endHours":25.463810581466355,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:28","end":"02:28","startHours":25.463810581466355,"endHours":26.463810581466355,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:28","end":"03:28","startHours":26.463810581466355,"endHours":27.463810581466355,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:28","end":"04:28","startHours":27.463810581466355,"endHours":28.463810581466355,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:28","end":"05:28","startHours":28.463810581466355,"endHours":29.463810581466355,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"North","rahuVasa":"South-West","anandadiYoga":{"name":"Sushira","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":21.82336478019392,"eotMinutes":-5.361428846160681,"ayanamsa":21.9606}},"calendars":{"vikram_samvat":1921,"vikram_samvatsara":"Īśvara","saka_samvat":1786,"saka_samvatsara":"Raktākṣī","bengali_samvat":1271,"malayalam_era":1040,"nanakshahi_year":395,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Āṣāḍha","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 Śukla Navamī · Vikram 1921 Īśvara · Śaka 1786 Raktākṣī"},"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":[{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Śukla Navamī","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 July 13, 1864 CE · Phoenix, USA · Vidhyamitra","description":"July 13, 1864 CE for Phoenix, USA: Śukla Navamī, sūryodaya 05:28, sūryāsta 19:39.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/1864-07-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/1864-07-13","sa":"https://sa.vidhyamitra.com/city/phoenix/1864-07-13","hi":"https://hi.vidhyamitra.com/city/phoenix/1864-07-13","x-default":"https://vidhyamitra.com/city/phoenix/1864-07-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T21:59:37.640Z","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":"2026-06-01T21:59:37.640Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T21:59:37.640Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}