{"id":"vidhyamitra:city-day:phoenix:1872-01-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/1872-01-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1872-01-04","date_display":"January 4, 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":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2404796.770833,"kali_year":4973,"ahargana":1816331.2708,"sun":{"sidereal_longitude":261.0912,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":176.291,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":275.1998,"elapsed_within_tithi_degrees":11.1998},"nakshatra":{"number":14,"name":"Citrā","pada":1,"moon_longitude":176.291,"elapsed_within_degrees":2.9577},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":77.3822},"karana":{"half_tithi_index":45,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":1,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2404796.770833,"ahargana":1816331.2708,"kali_year":4973,"ayanamsa_lahiri":22.0651,"grahas":{"sun":{"sidereal_longitude":260.984836,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":172.52443600000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false,"latitude":4.1018},"mars":{"sidereal_longitude":294.279536,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":258.35083599999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":95.55903599999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":true},"venus":{"sidereal_longitude":217.92603600000007,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":261.32233599999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":62.0285,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":242.0285,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":1872,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2404796.770833,"kali_year":4973,"ahargana":1816331.2708,"sun":{"sidereal_longitude":261.0912,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":176.291,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":275.1998,"elapsed_within_tithi_degrees":11.1998},"nakshatra":{"number":14,"name":"Citrā","pada":1,"moon_longitude":176.291,"elapsed_within_degrees":2.9577},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":77.3822},"karana":{"half_tithi_index":45,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.102,"elongation":84.8},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.102,"opposition_distance":95.2}},"eclipse_window_40days":[{"offset_days":-8,"type":"lunar","occurs":true,"moon_latitude":1.007,"opposition_distance":2.532}]},"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":"07:33","sunsetLocal":"17:33","solarNoonLocal":"12:33","dayLengthHours":10.000622074134291,"dayLengthDisplay":"10 Hours 00 Mins 02 Secs","nightLengthDisplay":"13 Hours 59 Mins 58 Secs","moonriseLocal":"00:52","moonsetLocal":"12:27","rahuKala":{"name":"Rāhu Kāla","start":"13:48","end":"15:03","startHours":13.805409540355889,"endHours":15.055487299622675,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:33","end":"08:48","startHours":7.555020744021956,"endHours":8.805098503288743,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:03","end":"11:18","startHours":10.055176262555529,"endHours":11.305254021822314,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:53","end":"10:13","startHours":9.888499227986625,"endHours":10.221853297124433,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:58","end":"08:14","startHours":7.971713330444218,"endHours":8.238396585754465,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:13","end":"12:53","startHours":12.221977711951292,"endHours":12.888685850226912,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:13","end":"06:53","startHours":6.221604467470717,"endHours":6.888312605746337,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:43","end":"07:33","startHours":6.721635571177432,"endHours":7.555020744021956,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:13","end":"14:53","startHours":14.22210212677815,"endHours":14.88881026505377,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:21","end":"17:45","startHours":17.355642818156248,"endHours":17.755642818156247,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:33","end":"17:58","startHours":17.555642818156247,"endHours":17.97233540457851,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:18","end":"19:03","startHours":17.305642818156247,"endHours":19.055642818156247,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:13","end":"00:53","startHours":24.221977711951293,"endHours":24.88868585022691,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:33","end":"08:48","startHours":7.555020744021956,"endHours":8.805098503288743,"quality":"auspicious"},{"name":"Roga","start":"08:48","end":"10:03","startHours":8.805098503288743,"endHours":10.055176262555529,"quality":"inauspicious"},{"name":"Udveg","start":"10:03","end":"11:18","startHours":10.055176262555529,"endHours":11.305254021822314,"quality":"inauspicious"},{"name":"Chala","start":"11:18","end":"12:33","startHours":11.305254021822314,"endHours":12.555331781089102,"quality":"neutral"},{"name":"Labha","start":"12:33","end":"13:48","startHours":12.555331781089102,"endHours":13.805409540355889,"quality":"auspicious"},{"name":"Amṛta","start":"13:48","end":"15:03","startHours":13.805409540355889,"endHours":15.055487299622675,"quality":"auspicious"},{"name":"Kāla","start":"15:03","end":"16:18","startHours":15.055487299622675,"endHours":16.30556505888946,"quality":"inauspicious"},{"name":"Śubha","start":"16:18","end":"17:33","startHours":16.30556505888946,"endHours":17.555642818156247,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:33","end":"19:18","startHours":17.555642818156247,"endHours":19.30556505888946,"quality":"auspicious"},{"name":"Kāla","start":"19:18","end":"21:03","startHours":19.30556505888946,"endHours":21.055487299622676,"quality":"inauspicious"},{"name":"Śubha","start":"21:03","end":"22:48","startHours":21.055487299622676,"endHours":22.80540954035589,"quality":"auspicious"},{"name":"Roga","start":"22:48","end":"00:33","startHours":22.80540954035589,"endHours":24.5553317810891,"quality":"inauspicious"},{"name":"Udveg","start":"00:33","end":"02:18","startHours":24.5553317810891,"endHours":26.305254021822314,"quality":"inauspicious"},{"name":"Chala","start":"02:18","end":"04:03","startHours":26.305254021822314,"endHours":28.055176262555527,"quality":"neutral"},{"name":"Labha","start":"04:03","end":"05:48","startHours":28.055176262555527,"endHours":29.805098503288743,"quality":"auspicious"},{"name":"Amṛta","start":"05:48","end":"07:33","startHours":29.805098503288743,"endHours":31.555020744021956,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:33","end":"08:33","startHours":7.555020744021956,"endHours":8.555020744021956,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:33","end":"09:33","startHours":8.555020744021956,"endHours":9.555020744021956,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:33","end":"10:33","startHours":9.555020744021956,"endHours":10.555020744021956,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:33","end":"11:33","startHours":10.555020744021956,"endHours":11.555020744021956,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:33","end":"12:33","startHours":11.555020744021956,"endHours":12.555020744021956,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:33","end":"13:33","startHours":12.555020744021956,"endHours":13.555020744021956,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:33","end":"14:33","startHours":13.555020744021956,"endHours":14.555020744021956,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:33","end":"15:33","startHours":14.555020744021956,"endHours":15.555020744021956,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:33","end":"16:33","startHours":15.555020744021956,"endHours":16.555020744021956,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:33","end":"17:33","startHours":16.555020744021956,"endHours":17.555020744021956,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:33","end":"18:33","startHours":17.555020744021956,"endHours":18.555020744021956,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:33","end":"19:33","startHours":18.555020744021956,"endHours":19.555020744021956,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:33","end":"20:33","startHours":19.555020744021956,"endHours":20.555020744021956,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:33","end":"21:33","startHours":20.555020744021956,"endHours":21.555020744021956,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:33","end":"22:33","startHours":21.555020744021956,"endHours":22.555020744021956,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:33","end":"23:33","startHours":22.555020744021956,"endHours":23.555020744021956,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:33","end":"00:33","startHours":23.555020744021956,"endHours":24.555020744021956,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:33","end":"01:33","startHours":24.555020744021956,"endHours":25.555020744021956,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:33","end":"02:33","startHours":25.555020744021956,"endHours":26.555020744021956,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:33","end":"03:33","startHours":26.555020744021956,"endHours":27.555020744021956,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:33","end":"04:33","startHours":27.555020744021956,"endHours":28.555020744021956,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:33","end":"05:33","startHours":28.555020744021956,"endHours":29.555020744021956,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:33","end":"06:33","startHours":29.555020744021956,"endHours":30.555020744021956,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:33","end":"07:33","startHours":30.555020744021956,"endHours":31.555020744021956,"planetary_lord":"Moon"}],"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":"South (Dakṣiṇa)","chandraVasa":"North-West","rahuVasa":"North-West","anandadiYoga":{"name":"Kāladaṇḍa","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.79657500365957,"eotMinutes":-5.02390686534617,"ayanamsa":22.0651}},"calendars":{"vikram_samvat":1929,"vikram_samvatsara":"Pārthiva","saka_samvat":1794,"saka_samvatsara":"Aṅgirasa","bengali_samvat":1279,"malayalam_era":1048,"nanakshahi_year":403,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Aṣṭamī · Vikram 1929 Pārthiva · Śaka 1794 Aṅgirasa"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Kṛṣṇa Aṣṭamī","url":"/day/-3226-07-09","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 January 4, 1872 CE · Phoenix, USA · Vidhyamitra","description":"January 4, 1872 CE for Phoenix, USA: Kṛṣṇa Aṣṭamī, sūryodaya 07:33, sūryāsta 17:33.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/1872-01-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/1872-01-04","sa":"https://sa.vidhyamitra.com/city/phoenix/1872-01-04","hi":"https://hi.vidhyamitra.com/city/phoenix/1872-01-04","x-default":"https://vidhyamitra.com/city/phoenix/1872-01-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T23:37:27.452Z","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":"2026-05-31T23:37:27.452Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T23:37:27.452Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}