{"id":"vidhyamitra:city-day:phoenix:1867-01-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/1867-01-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1867-01-03","date_display":"January 3, 1867 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":1867,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2402969.770833,"kali_year":4968,"ahargana":1814504.2708,"sun":{"sidereal_longitude":260.3652,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":226.1979,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":325.8326,"elapsed_within_tithi_degrees":1.8326},"nakshatra":{"number":17,"name":"Anurādhā","pada":4,"moon_longitude":226.1979,"elapsed_within_degrees":12.8645},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":126.5631},"karana":{"half_tithi_index":54,"name":"Gara"},"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":1867,"month":1,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2402969.770833,"ahargana":1814504.2708,"kali_year":4968,"ayanamsa_lahiri":21.9952,"grahas":{"sun":{"sidereal_longitude":260.253141,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":227.63624100000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false,"latitude":4.1528},"mars":{"sidereal_longitude":93.31904099999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":true},"mercury":{"sidereal_longitude":240.71844099999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":287.38764100000003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"venus":{"sidereal_longitude":231.67064100000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":210.16504099999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":158.8317,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":338.8317,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","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":1867,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2402969.770833,"kali_year":4968,"ahargana":1814504.2708,"sun":{"sidereal_longitude":260.3652,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":226.1979,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":325.8326,"elapsed_within_tithi_degrees":1.8326},"nakshatra":{"number":17,"name":"Anurādhā","pada":4,"moon_longitude":226.1979,"elapsed_within_degrees":12.8645},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":126.5631},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.153,"elongation":34.167},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.153,"opposition_distance":145.833}},"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":"07:33","sunsetLocal":"17:33","solarNoonLocal":"12:33","dayLengthHours":9.992572202113053,"dayLengthDisplay":"9 Hours 59 Mins 33 Secs","nightLengthDisplay":"14 Hours 00 Mins 27 Secs","moonriseLocal":"05:21","moonsetLocal":"15:24","rahuKala":{"name":"Rāhu Kāla","start":"13:48","end":"15:03","startHours":13.797161872441766,"endHours":15.046233397705898,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:33","end":"08:48","startHours":7.551804246121108,"endHours":8.80087577138524,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:03","end":"11:18","startHours":10.049947296649371,"endHours":11.299018821913503,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:53","end":"10:13","startHours":9.883404426614153,"endHours":10.216490166684588,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:58","end":"08:14","startHours":7.968161421209152,"endHours":8.2346300132655,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:13","end":"12:53","startHours":12.215004607107199,"endHours":12.88117608724807,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:13","end":"06:53","startHours":6.219461285839368,"endHours":6.885632765980238,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:43","end":"07:33","startHours":6.719089895945021,"endHours":7.551804246121108,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:13","end":"14:53","startHours":14.21351904752981,"endHours":14.879690527670679,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:21","end":"17:45","startHours":17.34437644823416,"endHours":17.74437644823416,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:33","end":"17:58","startHours":17.54437644823416,"endHours":17.960733623322206,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:18","end":"19:03","startHours":17.29437644823416,"endHours":19.04437644823416,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:13","end":"00:53","startHours":24.2150046071072,"endHours":24.88117608724807,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:33","end":"08:48","startHours":7.551804246121108,"endHours":8.80087577138524,"quality":"auspicious"},{"name":"Roga","start":"08:48","end":"10:03","startHours":8.80087577138524,"endHours":10.049947296649371,"quality":"inauspicious"},{"name":"Udveg","start":"10:03","end":"11:18","startHours":10.049947296649371,"endHours":11.299018821913503,"quality":"inauspicious"},{"name":"Chala","start":"11:18","end":"12:33","startHours":11.299018821913503,"endHours":12.548090347177634,"quality":"neutral"},{"name":"Labha","start":"12:33","end":"13:48","startHours":12.548090347177634,"endHours":13.797161872441766,"quality":"auspicious"},{"name":"Amṛta","start":"13:48","end":"15:03","startHours":13.797161872441766,"endHours":15.046233397705898,"quality":"auspicious"},{"name":"Kāla","start":"15:03","end":"16:18","startHours":15.046233397705898,"endHours":16.29530492297003,"quality":"inauspicious"},{"name":"Śubha","start":"16:18","end":"17:33","startHours":16.29530492297003,"endHours":17.54437644823416,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:33","end":"19:18","startHours":17.54437644823416,"endHours":19.29530492297003,"quality":"auspicious"},{"name":"Kāla","start":"19:18","end":"21:03","startHours":19.29530492297003,"endHours":21.046233397705898,"quality":"inauspicious"},{"name":"Śubha","start":"21:03","end":"22:48","startHours":21.046233397705898,"endHours":22.797161872441766,"quality":"auspicious"},{"name":"Roga","start":"22:48","end":"00:33","startHours":22.797161872441766,"endHours":24.548090347177634,"quality":"inauspicious"},{"name":"Udveg","start":"00:33","end":"02:18","startHours":24.548090347177634,"endHours":26.299018821913503,"quality":"inauspicious"},{"name":"Chala","start":"02:18","end":"04:03","startHours":26.299018821913503,"endHours":28.04994729664937,"quality":"neutral"},{"name":"Labha","start":"04:03","end":"05:48","startHours":28.04994729664937,"endHours":29.80087577138524,"quality":"auspicious"},{"name":"Amṛta","start":"05:48","end":"07:33","startHours":29.80087577138524,"endHours":31.551804246121108,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:33","end":"08:33","startHours":7.551804246121108,"endHours":8.551804246121108,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:33","end":"09:33","startHours":8.551804246121108,"endHours":9.551804246121108,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:33","end":"10:33","startHours":9.551804246121108,"endHours":10.551804246121108,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:33","end":"11:33","startHours":10.551804246121108,"endHours":11.551804246121108,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:33","end":"12:33","startHours":11.551804246121108,"endHours":12.551804246121108,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:33","end":"13:33","startHours":12.551804246121108,"endHours":13.551804246121108,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:33","end":"14:33","startHours":13.551804246121108,"endHours":14.551804246121108,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:33","end":"15:33","startHours":14.551804246121108,"endHours":15.551804246121108,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:33","end":"16:33","startHours":15.551804246121108,"endHours":16.551804246121108,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:33","end":"17:33","startHours":16.551804246121108,"endHours":17.551804246121108,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:33","end":"18:33","startHours":17.551804246121108,"endHours":18.551804246121108,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:33","end":"19:33","startHours":18.551804246121108,"endHours":19.551804246121108,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:33","end":"20:33","startHours":19.551804246121108,"endHours":20.551804246121108,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:33","end":"21:33","startHours":20.551804246121108,"endHours":21.551804246121108,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:33","end":"22:33","startHours":21.551804246121108,"endHours":22.551804246121108,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:33","end":"23:33","startHours":22.551804246121108,"endHours":23.551804246121108,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:33","end":"00:33","startHours":23.551804246121108,"endHours":24.551804246121108,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:33","end":"01:33","startHours":24.551804246121108,"endHours":25.551804246121108,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:33","end":"02:33","startHours":25.551804246121108,"endHours":26.551804246121108,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:33","end":"03:33","startHours":26.551804246121108,"endHours":27.551804246121108,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:33","end":"04:33","startHours":27.551804246121108,"endHours":28.551804246121108,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:33","end":"05:33","startHours":28.551804246121108,"endHours":29.551804246121108,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:33","end":"06:33","startHours":29.551804246121108,"endHours":30.551804246121108,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:33","end":"07:33","startHours":30.551804246121108,"endHours":31.551804246121108,"planetary_lord":"Moon"}],"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":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"North-East","rahuVasa":"North-West","anandadiYoga":{"name":"Saumya","quality":"Auspicious"},"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":-22.87232640175949,"eotMinutes":-4.589420830658165,"ayanamsa":21.9952}},"calendars":{"vikram_samvat":1924,"vikram_samvatsara":"Vikrama","saka_samvat":1789,"saka_samvatsara":"Prabhava","bengali_samvat":1274,"malayalam_era":1043,"nanakshahi_year":398,"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 Trayodaśī · Vikram 1924 Vikrama · Śaka 1789 Prabhava"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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":[]},"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 3, 1867 CE · Phoenix, USA · Vidhyamitra","description":"January 3, 1867 CE for Phoenix, USA: Kṛṣṇa Trayodaśī, sūryodaya 07:33, sūryāsta 17:33.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/1867-01-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/1867-01-03","sa":"https://sa.vidhyamitra.com/city/phoenix/1867-01-03","hi":"https://hi.vidhyamitra.com/city/phoenix/1867-01-03","x-default":"https://vidhyamitra.com/city/phoenix/1867-01-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T21:34:12.612Z","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":"2026-06-02T21:34:12.612Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T21:34:12.612Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}