{"id":"vidhyamitra:city-day:phoenix:1869-07-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/1869-07-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1869-07-13","date_display":"July 13, 1869 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":1869,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2403891.770833,"kali_year":4971,"ahargana":1815426.2708,"sun":{"sidereal_longitude":88.4801,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":133.1947,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":44.7146,"elapsed_within_tithi_degrees":8.7146},"nakshatra":{"number":10,"name":"Maghā","pada":4,"moon_longitude":133.1947,"elapsed_within_degrees":13.1947},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":221.6747},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":1869,"month":7,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2403891.770833,"ahargana":1815426.2708,"kali_year":4971,"ayanamsa_lahiri":22.0304,"grahas":{"sun":{"sidereal_longitude":88.59691399999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"moon":{"sidereal_longitude":135.246714,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false,"latitude":1.7723},"mars":{"sidereal_longitude":156.26821399999994,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":70.70561399999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":25.762914000000023,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":107.94171399999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":230.39351399999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":109.9797,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":289.9797,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","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":1869,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2403891.770833,"kali_year":4971,"ahargana":1815426.2708,"sun":{"sidereal_longitude":88.4801,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":133.1947,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":44.7146,"elapsed_within_tithi_degrees":8.7146},"nakshatra":{"number":10,"name":"Maghā","pada":4,"moon_longitude":133.1947,"elapsed_within_degrees":13.1947},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":221.6747},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.772,"elongation":44.715},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.772,"opposition_distance":135.285}},"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":"19:40","solarNoonLocal":"12:34","dayLengthHours":14.197536076006102,"dayLengthDisplay":"14 Hours 11 Mins 51 Secs","nightLengthDisplay":"9 Hours 48 Mins 09 Secs","moonriseLocal":"09:14","moonsetLocal":"22:07","rahuKala":{"name":"Rāhu Kāla","start":"16:07","end":"17:53","startHours":16.110341166437536,"endHours":17.885033175938297,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:01","end":"10:47","startHours":9.011573128434485,"endHours":10.786265137935246,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:34","end":"14:20","startHours":12.56095714743601,"endHours":14.335649156936771,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:46","end":"09:15","startHours":8.774947527167715,"endHours":9.248198729701253,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:03","end":"06:26","startHours":6.053753112599879,"endHours":6.4323540746267085,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:05","end":"13:02","startHours":12.087705944902474,"endHours":13.034208349969546,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:34","end":"04:31","startHours":3.5691842992988114,"endHours":4.515686704365884,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:17","end":"05:28","startHours":4.279061103099116,"endHours":5.462189109432958,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:56","end":"15:52","startHours":14.927213160103694,"endHours":15.873715565170768,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:28","end":"19:52","startHours":19.459725185439062,"endHours":19.85972518543906,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:40","end":"20:15","startHours":19.65972518543906,"endHours":20.25128918860598,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:25","end":"21:10","startHours":19.40972518543906,"endHours":21.15972518543906,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:05","end":"01:02","startHours":24.087705944902474,"endHours":25.034208349969546,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:28","end":"07:14","startHours":5.462189109432958,"endHours":7.236881118933721,"quality":"inauspicious"},{"name":"Udveg","start":"07:14","end":"09:01","startHours":7.236881118933721,"endHours":9.011573128434485,"quality":"inauspicious"},{"name":"Chala","start":"09:01","end":"10:47","startHours":9.011573128434485,"endHours":10.786265137935246,"quality":"neutral"},{"name":"Labha","start":"10:47","end":"12:34","startHours":10.786265137935246,"endHours":12.56095714743601,"quality":"auspicious"},{"name":"Amṛta","start":"12:34","end":"14:20","startHours":12.56095714743601,"endHours":14.335649156936771,"quality":"auspicious"},{"name":"Kāla","start":"14:20","end":"16:07","startHours":14.335649156936771,"endHours":16.110341166437536,"quality":"inauspicious"},{"name":"Śubha","start":"16:07","end":"17:53","startHours":16.110341166437536,"endHours":17.885033175938297,"quality":"auspicious"},{"name":"Roga","start":"17:53","end":"19:40","startHours":17.885033175938297,"endHours":19.65972518543906,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:40","end":"20:53","startHours":19.65972518543906,"endHours":20.885033175938297,"quality":"inauspicious"},{"name":"Śubha","start":"20:53","end":"22:07","startHours":20.885033175938297,"endHours":22.110341166437536,"quality":"auspicious"},{"name":"Roga","start":"22:07","end":"23:20","startHours":22.110341166437536,"endHours":23.335649156936775,"quality":"inauspicious"},{"name":"Udveg","start":"23:20","end":"00:34","startHours":23.335649156936775,"endHours":24.56095714743601,"quality":"inauspicious"},{"name":"Chala","start":"00:34","end":"01:47","startHours":24.56095714743601,"endHours":25.786265137935246,"quality":"neutral"},{"name":"Labha","start":"01:47","end":"03:01","startHours":25.786265137935246,"endHours":27.011573128434485,"quality":"auspicious"},{"name":"Amṛta","start":"03:01","end":"04:14","startHours":27.011573128434485,"endHours":28.236881118933724,"quality":"auspicious"},{"name":"Kāla","start":"04:14","end":"05:28","startHours":28.236881118933724,"endHours":29.46218910943296,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:28","end":"06:28","startHours":5.462189109432958,"endHours":6.462189109432958,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:28","end":"07:28","startHours":6.462189109432958,"endHours":7.462189109432958,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:28","end":"08:28","startHours":7.462189109432958,"endHours":8.462189109432959,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:28","end":"09:28","startHours":8.462189109432959,"endHours":9.462189109432959,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:28","end":"10:28","startHours":9.462189109432959,"endHours":10.462189109432959,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:28","end":"11:28","startHours":10.462189109432959,"endHours":11.462189109432959,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:28","end":"12:28","startHours":11.462189109432959,"endHours":12.462189109432959,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:28","end":"13:28","startHours":12.462189109432959,"endHours":13.462189109432959,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:28","end":"14:28","startHours":13.462189109432959,"endHours":14.462189109432959,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:28","end":"15:28","startHours":14.462189109432959,"endHours":15.462189109432959,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:28","end":"16:28","startHours":15.462189109432959,"endHours":16.46218910943296,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:28","end":"17:28","startHours":16.46218910943296,"endHours":17.46218910943296,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:28","end":"18:28","startHours":17.46218910943296,"endHours":18.46218910943296,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:28","end":"19:28","startHours":18.46218910943296,"endHours":19.46218910943296,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:28","end":"20:28","startHours":19.46218910943296,"endHours":20.46218910943296,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:28","end":"21:28","startHours":20.46218910943296,"endHours":21.46218910943296,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:28","end":"22:28","startHours":21.46218910943296,"endHours":22.46218910943296,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:28","end":"23:28","startHours":22.46218910943296,"endHours":23.46218910943296,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:28","end":"00:28","startHours":23.46218910943296,"endHours":24.46218910943296,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:28","end":"01:28","startHours":24.46218910943296,"endHours":25.46218910943296,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:28","end":"02:28","startHours":25.46218910943296,"endHours":26.46218910943296,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:28","end":"03:28","startHours":26.46218910943296,"endHours":27.46218910943296,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:28","end":"04:28","startHours":27.46218910943296,"endHours":28.46218910943296,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:28","end":"05:28","startHours":28.46218910943296,"endHours":29.46218910943296,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"West","rahuVasa":"North","anandadiYoga":{"name":"Kāṇa","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":21.85349141127073,"eotMinutes":-5.361428846160681,"ayanamsa":22.0304}},"calendars":{"vikram_samvat":1926,"vikram_samvatsara":"Citrabhānu","saka_samvat":1791,"saka_samvatsara":"Śukla","bengali_samvat":1276,"malayalam_era":1045,"nanakshahi_year":400,"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 Caturthī · Vikram 1926 Citrabhānu · Śaka 1791 Śukla"},"festivals":[{"id":"angarika-chaturthi","name":"Aṅgāraka Caturthī (Tuesday Caturthī)","name_sanskrit":"अङ्गारक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa + Maṅgala","significance":"Tuesday-Caturthī (rare); supremely auspicious for Maṅgala-doṣa-nivāraṇa.","vrata":true,"detection":{"any_of":[{"tithi_number":4,"vara_name":"Maṅgalavāra (Tuesday)"},{"tithi_number":19,"vara_name":"Maṅgalavāra (Tuesday)"}]},"precedence":3},{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 13, 1869 CE · Phoenix, USA · Vidhyamitra","description":"July 13, 1869 CE for Phoenix, USA: Śukla Caturthī, sūryodaya 05:28, sūryāsta 19:40.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/1869-07-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/1869-07-13","sa":"https://sa.vidhyamitra.com/city/phoenix/1869-07-13","hi":"https://hi.vidhyamitra.com/city/phoenix/1869-07-13","x-default":"https://vidhyamitra.com/city/phoenix/1869-07-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T10:24:56.215Z","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":"2026-06-02T10:24:56.215Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T10:24:56.215Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}