{"id":"vidhyamitra:city-day:phoenix:1872-07-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/1872-07-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1872-07-13","date_display":"July 13, 1872 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":1872,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2404987.770833,"kali_year":4974,"ahargana":1816522.2708,"sun":{"sidereal_longitude":88.692,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":173.3818,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":84.6898,"elapsed_within_tithi_degrees":0.6898},"nakshatra":{"number":14,"name":"Citrā","pada":1,"moon_longitude":173.3818,"elapsed_within_degrees":0.0485},"yoga":{"number":20,"name":"Śiva","sum_longitude":262.0738},"karana":{"half_tithi_index":14,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":1872,"month":7,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2404987.770833,"ahargana":1816522.2708,"kali_year":4974,"ayanamsa_lahiri":22.0724,"grahas":{"sun":{"sidereal_longitude":88.81753900000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"moon":{"sidereal_longitude":169.60263899999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false,"latitude":3.8369},"mars":{"sidereal_longitude":75.57703900000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":109.33353899999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":105.58753899999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"venus":{"sidereal_longitude":89.73273899999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":266.797639,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":51.9084,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":231.9084,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":1872,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2404987.770833,"kali_year":4974,"ahargana":1816522.2708,"sun":{"sidereal_longitude":88.692,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":173.3818,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":84.6898,"elapsed_within_tithi_degrees":0.6898},"nakshatra":{"number":14,"name":"Citrā","pada":1,"moon_longitude":173.3818,"elapsed_within_degrees":0.0485},"yoga":{"number":20,"name":"Śiva","sum_longitude":262.0738},"karana":{"half_tithi_index":14,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.837,"elongation":84.69},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.837,"opposition_distance":95.31}},"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":14.19324332673785,"dayLengthDisplay":"14 Hours 11 Mins 36 Secs","nightLengthDisplay":"9 Hours 48 Mins 24 Secs","moonriseLocal":"12:06","moonsetLocal":"23:47","rahuKala":{"name":"Rāhu Kāla","start":"09:01","end":"10:47","startHours":9.012646315751546,"endHours":10.786801731593778,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:20","end":"16:07","startHours":14.33511256327824,"endHours":16.10926797912047,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:28","end":"07:14","startHours":5.464335484067084,"endHours":7.238490899909316,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:47","end":"09:15","startHours":8.776092260305916,"endHours":9.249200371197178,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:03","end":"06:26","startHours":6.055720622681162,"endHours":6.434207111394171,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:05","end":"13:02","startHours":12.087849036544748,"endHours":13.034065258327272,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:34","end":"04:31","startHours":3.571903040502038,"endHours":4.518119262284561,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:17","end":"05:28","startHours":4.2815652068389305,"endHours":5.464335484067084,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:56","end":"15:52","startHours":14.926497701892316,"endHours":15.872713923674839,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:27","end":"19:51","startHours":19.457578810804936,"endHours":19.857578810804934,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:39","end":"20:15","startHours":19.657578810804935,"endHours":20.24896394941901,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:24","end":"21:09","startHours":19.407578810804935,"endHours":21.157578810804935,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:05","end":"01:02","startHours":24.08784903654475,"endHours":25.03406525832727,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:28","end":"07:14","startHours":5.464335484067084,"endHours":7.238490899909316,"quality":"inauspicious"},{"name":"Śubha","start":"07:14","end":"09:01","startHours":7.238490899909316,"endHours":9.012646315751546,"quality":"auspicious"},{"name":"Roga","start":"09:01","end":"10:47","startHours":9.012646315751546,"endHours":10.786801731593778,"quality":"inauspicious"},{"name":"Udveg","start":"10:47","end":"12:34","startHours":10.786801731593778,"endHours":12.56095714743601,"quality":"inauspicious"},{"name":"Chala","start":"12:34","end":"14:20","startHours":12.56095714743601,"endHours":14.33511256327824,"quality":"neutral"},{"name":"Labha","start":"14:20","end":"16:07","startHours":14.33511256327824,"endHours":16.10926797912047,"quality":"auspicious"},{"name":"Amṛta","start":"16:07","end":"17:53","startHours":16.10926797912047,"endHours":17.883423394962705,"quality":"auspicious"},{"name":"Kāla","start":"17:53","end":"19:39","startHours":17.883423394962705,"endHours":19.657578810804935,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:39","end":"20:53","startHours":19.657578810804935,"endHours":20.883423394962705,"quality":"auspicious"},{"name":"Amṛta","start":"20:53","end":"22:07","startHours":20.883423394962705,"endHours":22.109267979120474,"quality":"auspicious"},{"name":"Kāla","start":"22:07","end":"23:20","startHours":22.109267979120474,"endHours":23.33511256327824,"quality":"inauspicious"},{"name":"Śubha","start":"23:20","end":"00:34","startHours":23.33511256327824,"endHours":24.56095714743601,"quality":"auspicious"},{"name":"Roga","start":"00:34","end":"01:47","startHours":24.56095714743601,"endHours":25.78680173159378,"quality":"inauspicious"},{"name":"Udveg","start":"01:47","end":"03:01","startHours":25.78680173159378,"endHours":27.012646315751546,"quality":"inauspicious"},{"name":"Chala","start":"03:01","end":"04:14","startHours":27.012646315751546,"endHours":28.238490899909316,"quality":"neutral"},{"name":"Labha","start":"04:14","end":"05:28","startHours":28.238490899909316,"endHours":29.464335484067085,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:28","end":"06:28","startHours":5.464335484067084,"endHours":6.464335484067084,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:28","end":"07:28","startHours":6.464335484067084,"endHours":7.464335484067084,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:28","end":"08:28","startHours":7.464335484067084,"endHours":8.464335484067085,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:28","end":"09:28","startHours":8.464335484067085,"endHours":9.464335484067085,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:28","end":"10:28","startHours":9.464335484067085,"endHours":10.464335484067085,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:28","end":"11:28","startHours":10.464335484067085,"endHours":11.464335484067085,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:28","end":"12:28","startHours":11.464335484067085,"endHours":12.464335484067085,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:28","end":"13:28","startHours":12.464335484067085,"endHours":13.464335484067085,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:28","end":"14:28","startHours":13.464335484067085,"endHours":14.464335484067085,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:28","end":"15:28","startHours":14.464335484067085,"endHours":15.464335484067085,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:28","end":"16:28","startHours":15.464335484067085,"endHours":16.464335484067085,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:28","end":"17:28","startHours":16.464335484067085,"endHours":17.464335484067085,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:28","end":"18:28","startHours":17.464335484067085,"endHours":18.464335484067085,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:28","end":"19:28","startHours":18.464335484067085,"endHours":19.464335484067085,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:28","end":"20:28","startHours":19.464335484067085,"endHours":20.464335484067085,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:28","end":"21:28","startHours":20.464335484067085,"endHours":21.464335484067085,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:28","end":"22:28","startHours":21.464335484067085,"endHours":22.464335484067085,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:28","end":"23:28","startHours":22.464335484067085,"endHours":23.464335484067085,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:28","end":"00:28","startHours":23.464335484067085,"endHours":24.464335484067085,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:28","end":"01:28","startHours":24.464335484067085,"endHours":25.464335484067085,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:28","end":"02:28","startHours":25.464335484067085,"endHours":26.464335484067085,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:28","end":"03:28","startHours":26.464335484067085,"endHours":27.464335484067085,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:28","end":"04:28","startHours":27.464335484067085,"endHours":28.464335484067085,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:28","end":"05:28","startHours":28.464335484067085,"endHours":29.464335484067085,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"East","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":21.813608581085052,"eotMinutes":-5.361428846160681,"ayanamsa":22.0724}},"calendars":{"vikram_samvat":1929,"vikram_samvatsara":"Pārthiva","saka_samvat":1794,"saka_samvatsara":"Aṅgirasa","bengali_samvat":1279,"malayalam_era":1048,"nanakshahi_year":403,"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 Aṣṭamī · Vikram 1929 Pārthiva · Śaka 1794 Aṅgirasa"},"festivals":[],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Śukla Aṣṭamī","url":"/day/-3137-12-25","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, 1872 CE · Phoenix, USA · Vidhyamitra","description":"July 13, 1872 CE for Phoenix, USA: Śukla Aṣṭamī, sūryodaya 05:28, sūryāsta 19:39.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/1872-07-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/1872-07-13","sa":"https://sa.vidhyamitra.com/city/phoenix/1872-07-13","hi":"https://hi.vidhyamitra.com/city/phoenix/1872-07-13","x-default":"https://vidhyamitra.com/city/phoenix/1872-07-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T13:36:52.646Z","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":"2026-06-01T13:36:52.646Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T13:36:52.646Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}