{"id":"vidhyamitra:city-day:phoenix:1877-07-30:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/1877-07-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1877-07-30","date_display":"July 30, 1877 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":1877,"month":7,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2406830.770833,"kali_year":4979,"ahargana":1818365.2708,"sun":{"sidereal_longitude":104.5421,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":340.001,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":235.4589,"elapsed_within_tithi_degrees":7.4589},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3,"moon_longitude":340.001,"elapsed_within_degrees":6.6676},"yoga":{"number":7,"name":"Sukarma","sum_longitude":84.543},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":1877,"month":7,"day":30,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2406830.770833,"ahargana":1818365.2708,"kali_year":4979,"ayanamsa_lahiri":22.1428,"grahas":{"sun":{"sidereal_longitude":104.78302300000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"moon":{"sidereal_longitude":336.25852299999997,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false,"latitude":1.9529},"mars":{"sidereal_longitude":328.052223,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":117.017223,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":243.85292300000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":true},"venus":{"sidereal_longitude":129.13692300000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":328.6267230000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":314.2574,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":134.2574,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","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":1877,"month":7,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2406830.770833,"kali_year":4979,"ahargana":1818365.2708,"sun":{"sidereal_longitude":104.5421,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":340.001,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":235.4589,"elapsed_within_tithi_degrees":7.4589},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3,"moon_longitude":340.001,"elapsed_within_degrees":6.6676},"yoga":{"number":7,"name":"Sukarma","sum_longitude":84.543},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.953,"elongation":124.541},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.953,"opposition_distance":55.459}},"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":"05:39","sunsetLocal":"19:30","solarNoonLocal":"12:34","dayLengthHours":13.850833825125562,"dayLengthDisplay":"13 Hours 51 Mins 03 Secs","nightLengthDisplay":"10 Hours 08 Mins 57 Secs","moonriseLocal":"21:59","moonsetLocal":"10:01","rahuKala":{"name":"Rāhu Kāla","start":"07:23","end":"09:07","startHours":7.379448744190916,"endHours":9.110802972331612,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:51","end":"12:34","startHours":10.842157200472307,"endHours":12.573511428613003,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:18","end":"16:02","startHours":14.304865656753698,"endHours":16.036219884894393,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:53","end":"09:20","startHours":8.879955741912852,"endHours":9.34165020275037,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:14","end":"06:36","startHours":6.225212592097119,"endHours":6.594568160767134,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"13:02","startHours":12.111816967775484,"endHours":13.035205889450522,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:48","end":"04:43","startHours":3.8013166727001457,"endHours":4.724705594375183,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:30","end":"05:39","startHours":4.493858363956424,"endHours":5.648094516050221,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:53","end":"15:48","startHours":14.881983732800595,"endHours":15.805372654475633,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:18","end":"19:42","startHours":19.298928341175785,"endHours":19.698928341175783,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:30","end":"20:05","startHours":19.498928341175784,"endHours":20.07604641722268,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:15","end":"21:00","startHours":19.248928341175784,"endHours":20.998928341175784,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"01:02","startHours":24.111816967775486,"endHours":25.03520588945052,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:39","end":"07:23","startHours":5.648094516050221,"endHours":7.379448744190916,"quality":"auspicious"},{"name":"Kāla","start":"07:23","end":"09:07","startHours":7.379448744190916,"endHours":9.110802972331612,"quality":"inauspicious"},{"name":"Śubha","start":"09:07","end":"10:51","startHours":9.110802972331612,"endHours":10.842157200472307,"quality":"auspicious"},{"name":"Roga","start":"10:51","end":"12:34","startHours":10.842157200472307,"endHours":12.573511428613003,"quality":"inauspicious"},{"name":"Udveg","start":"12:34","end":"14:18","startHours":12.573511428613003,"endHours":14.304865656753698,"quality":"inauspicious"},{"name":"Chala","start":"14:18","end":"16:02","startHours":14.304865656753698,"endHours":16.036219884894393,"quality":"neutral"},{"name":"Labha","start":"16:02","end":"17:46","startHours":16.036219884894393,"endHours":17.76757411303509,"quality":"auspicious"},{"name":"Amṛta","start":"17:46","end":"19:30","startHours":17.76757411303509,"endHours":19.498928341175784,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:30","end":"20:46","startHours":19.498928341175784,"endHours":20.76757411303509,"quality":"neutral"},{"name":"Labha","start":"20:46","end":"22:02","startHours":20.76757411303509,"endHours":22.036219884894393,"quality":"auspicious"},{"name":"Amṛta","start":"22:02","end":"23:18","startHours":22.036219884894393,"endHours":23.304865656753698,"quality":"auspicious"},{"name":"Kāla","start":"23:18","end":"00:34","startHours":23.304865656753698,"endHours":24.573511428613003,"quality":"inauspicious"},{"name":"Śubha","start":"00:34","end":"01:51","startHours":24.573511428613003,"endHours":25.842157200472307,"quality":"auspicious"},{"name":"Roga","start":"01:51","end":"03:07","startHours":25.842157200472307,"endHours":27.110802972331612,"quality":"inauspicious"},{"name":"Udveg","start":"03:07","end":"04:23","startHours":27.110802972331612,"endHours":28.379448744190917,"quality":"inauspicious"},{"name":"Chala","start":"04:23","end":"05:39","startHours":28.379448744190917,"endHours":29.64809451605022,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:39","end":"06:39","startHours":5.648094516050221,"endHours":6.648094516050221,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:39","end":"07:39","startHours":6.648094516050221,"endHours":7.648094516050221,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:39","end":"08:39","startHours":7.648094516050221,"endHours":8.648094516050222,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:39","end":"09:39","startHours":8.648094516050222,"endHours":9.648094516050222,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:39","end":"10:39","startHours":9.648094516050222,"endHours":10.648094516050222,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:39","end":"11:39","startHours":10.648094516050222,"endHours":11.648094516050222,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:39","end":"12:39","startHours":11.648094516050222,"endHours":12.648094516050222,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:39","end":"13:39","startHours":12.648094516050222,"endHours":13.648094516050222,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:39","end":"14:39","startHours":13.648094516050222,"endHours":14.648094516050222,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:39","end":"15:39","startHours":14.648094516050222,"endHours":15.648094516050222,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:39","end":"16:39","startHours":15.648094516050222,"endHours":16.64809451605022,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:39","end":"17:39","startHours":16.64809451605022,"endHours":17.64809451605022,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:39","end":"18:39","startHours":17.64809451605022,"endHours":18.64809451605022,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:39","end":"19:39","startHours":18.64809451605022,"endHours":19.64809451605022,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:39","end":"20:39","startHours":19.64809451605022,"endHours":20.64809451605022,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:39","end":"21:39","startHours":20.64809451605022,"endHours":21.64809451605022,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:39","end":"22:39","startHours":21.64809451605022,"endHours":22.64809451605022,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:39","end":"23:39","startHours":22.64809451605022,"endHours":23.64809451605022,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:39","end":"00:39","startHours":23.64809451605022,"endHours":24.64809451605022,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:39","end":"01:39","startHours":24.64809451605022,"endHours":25.64809451605022,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:39","end":"02:39","startHours":25.64809451605022,"endHours":26.64809451605022,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:39","end":"03:39","startHours":26.64809451605022,"endHours":27.64809451605022,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:39","end":"04:39","startHours":27.64809451605022,"endHours":28.64809451605022,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:39","end":"05:39","startHours":28.64809451605022,"endHours":29.64809451605022,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"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":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Kāladaṇḍa","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.539169179859034,"eotMinutes":-6.1146857167802535,"ayanamsa":22.1428}},"calendars":{"vikram_samvat":1934,"vikram_samvatsara":"Vikṛti","saka_samvat":1799,"saka_samvatsara":"Īśvara","bengali_samvat":1284,"malayalam_era":1053,"nanakshahi_year":408,"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 Pañcamī · Vikram 1934 Vikṛti · Śaka 1799 Īśvara"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 30, 1877 CE · Phoenix, USA · Vidhyamitra","description":"July 30, 1877 CE for Phoenix, USA: Kṛṣṇa Pañcamī, sūryodaya 05:39, sūryāsta 19:30.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/1877-07-30","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/1877-07-30","sa":"https://sa.vidhyamitra.com/city/phoenix/1877-07-30","hi":"https://hi.vidhyamitra.com/city/phoenix/1877-07-30","x-default":"https://vidhyamitra.com/city/phoenix/1877-07-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T08:18:53.160Z","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":"2026-06-02T08:18:53.160Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T08:18:53.160Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}