{"id":"vidhyamitra:city-day:phoenix:2013-01-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/2013-01-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2013-01-03","date_display":"January 3, 2013 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":2013,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456295.770833,"kali_year":5114,"ahargana":1867830.2708,"sun":{"sidereal_longitude":258.5368,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":145.4888,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":246.952,"elapsed_within_tithi_degrees":6.952},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4,"moon_longitude":145.4888,"elapsed_within_degrees":12.1554},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":44.0256},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"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":2013,"month":1,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2456295.770833,"ahargana":1867830.2708,"kali_year":5114,"ayanamsa_lahiri":24.0347,"grahas":{"sun":{"sidereal_longitude":258.78239600000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":142.82669599999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false,"latitude":-4.168},"mars":{"sidereal_longitude":282.117896,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":249.59439599999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":43.14629600000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":true},"venus":{"sidereal_longitude":238.12399600000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":195.39619599999992,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":213.3636,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":33.3636,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","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":2013,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456295.770833,"kali_year":5114,"ahargana":1867830.2708,"sun":{"sidereal_longitude":258.5368,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":145.4888,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":246.952,"elapsed_within_tithi_degrees":6.952},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4,"moon_longitude":145.4888,"elapsed_within_degrees":12.1554},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":44.0256},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.168,"elongation":113.048},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.168,"opposition_distance":66.952}},"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":9.998233733108272,"dayLengthDisplay":"9 Hours 59 Mins 54 Secs","nightLengthDisplay":"14 Hours 00 Mins 06 Secs","moonriseLocal":"22:32","moonsetLocal":"11:06","rahuKala":{"name":"Rāhu Kāla","start":"13:48","end":"15:03","startHours":13.797869563816167,"endHours":15.0476487804547,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:33","end":"08:48","startHours":7.548973480623498,"endHours":8.798752697262032,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:03","end":"11:18","startHours":10.048531913900565,"endHours":11.2983111305391,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:53","end":"10:13","startHours":9.881894685015428,"endHours":10.215169142785703,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:58","end":"08:14","startHours":7.965566552836342,"endHours":8.232186119052562,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:13","end":"12:53","startHours":12.214815889407358,"endHours":12.88136480494791,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:13","end":"06:53","startHours":6.215875649542395,"endHours":6.882424565082946,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:43","end":"07:33","startHours":6.715787336197808,"endHours":7.548973480623498,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:13","end":"14:53","startHours":14.214462636029012,"endHours":14.881011551569562,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:21","end":"17:45","startHours":17.34720721373177,"endHours":17.74720721373177,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:33","end":"17:58","startHours":17.54720721373177,"endHours":17.963800285944615,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:18","end":"19:03","startHours":17.29720721373177,"endHours":19.04720721373177,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:13","end":"00:53","startHours":24.214815889407358,"endHours":24.88136480494791,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:33","end":"08:48","startHours":7.548973480623498,"endHours":8.798752697262032,"quality":"auspicious"},{"name":"Roga","start":"08:48","end":"10:03","startHours":8.798752697262032,"endHours":10.048531913900565,"quality":"inauspicious"},{"name":"Udveg","start":"10:03","end":"11:18","startHours":10.048531913900565,"endHours":11.2983111305391,"quality":"inauspicious"},{"name":"Chala","start":"11:18","end":"12:33","startHours":11.2983111305391,"endHours":12.548090347177634,"quality":"neutral"},{"name":"Labha","start":"12:33","end":"13:48","startHours":12.548090347177634,"endHours":13.797869563816167,"quality":"auspicious"},{"name":"Amṛta","start":"13:48","end":"15:03","startHours":13.797869563816167,"endHours":15.0476487804547,"quality":"auspicious"},{"name":"Kāla","start":"15:03","end":"16:18","startHours":15.0476487804547,"endHours":16.297427997093237,"quality":"inauspicious"},{"name":"Śubha","start":"16:18","end":"17:33","startHours":16.297427997093237,"endHours":17.54720721373177,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:33","end":"19:18","startHours":17.54720721373177,"endHours":19.297427997093237,"quality":"auspicious"},{"name":"Kāla","start":"19:18","end":"21:03","startHours":19.297427997093237,"endHours":21.0476487804547,"quality":"inauspicious"},{"name":"Śubha","start":"21:03","end":"22:48","startHours":21.0476487804547,"endHours":22.797869563816167,"quality":"auspicious"},{"name":"Roga","start":"22:48","end":"00:33","startHours":22.797869563816167,"endHours":24.548090347177634,"quality":"inauspicious"},{"name":"Udveg","start":"00:33","end":"02:18","startHours":24.548090347177634,"endHours":26.2983111305391,"quality":"inauspicious"},{"name":"Chala","start":"02:18","end":"04:03","startHours":26.2983111305391,"endHours":28.048531913900568,"quality":"neutral"},{"name":"Labha","start":"04:03","end":"05:48","startHours":28.048531913900568,"endHours":29.79875269726203,"quality":"auspicious"},{"name":"Amṛta","start":"05:48","end":"07:33","startHours":29.79875269726203,"endHours":31.5489734806235,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:33","end":"08:33","startHours":7.548973480623498,"endHours":8.548973480623498,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:33","end":"09:33","startHours":8.548973480623498,"endHours":9.548973480623498,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:33","end":"10:33","startHours":9.548973480623498,"endHours":10.548973480623498,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:33","end":"11:33","startHours":10.548973480623498,"endHours":11.548973480623498,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:33","end":"12:33","startHours":11.548973480623498,"endHours":12.548973480623498,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:33","end":"13:33","startHours":12.548973480623498,"endHours":13.548973480623498,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:33","end":"14:33","startHours":13.548973480623498,"endHours":14.548973480623498,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:33","end":"15:33","startHours":14.548973480623498,"endHours":15.548973480623498,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:33","end":"16:33","startHours":15.548973480623498,"endHours":16.5489734806235,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:33","end":"17:33","startHours":16.5489734806235,"endHours":17.5489734806235,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:33","end":"18:33","startHours":17.5489734806235,"endHours":18.5489734806235,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:33","end":"19:33","startHours":18.5489734806235,"endHours":19.5489734806235,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:33","end":"20:33","startHours":19.5489734806235,"endHours":20.5489734806235,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:33","end":"21:33","startHours":20.5489734806235,"endHours":21.5489734806235,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:33","end":"22:33","startHours":21.5489734806235,"endHours":22.5489734806235,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:33","end":"23:33","startHours":22.5489734806235,"endHours":23.5489734806235,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:33","end":"00:33","startHours":23.5489734806235,"endHours":24.5489734806235,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:33","end":"01:33","startHours":24.5489734806235,"endHours":25.5489734806235,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:33","end":"02:33","startHours":25.5489734806235,"endHours":26.5489734806235,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:33","end":"03:33","startHours":26.5489734806235,"endHours":27.5489734806235,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:33","end":"04:33","startHours":27.5489734806235,"endHours":28.5489734806235,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:33","end":"05:33","startHours":28.5489734806235,"endHours":29.5489734806235,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:33","end":"06:33","startHours":29.5489734806235,"endHours":30.5489734806235,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:33","end":"07:33","startHours":30.5489734806235,"endHours":31.5489734806235,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","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":"South (Dakṣiṇa)","chandraVasa":"West","rahuVasa":"North-West","anandadiYoga":{"name":"Sushira","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":-22.819060693860553,"eotMinutes":-4.589420830658165,"ayanamsa":24.0347}},"calendars":{"vikram_samvat":2070,"vikram_samvatsara":"Parābhava","saka_samvat":1935,"saka_samvatsara":"Vijaya","bengali_samvat":1420,"malayalam_era":1189,"nanakshahi_year":544,"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 Ṣaṣṭhī · Vikram 2070 Parābhava · Śaka 1935 Vijaya"},"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":[]},"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, 2013 CE · Phoenix, USA · Vidhyamitra","description":"January 3, 2013 CE for Phoenix, USA: Kṛṣṇa Ṣaṣṭhī, sūryodaya 07:33, sūryāsta 17:33.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/2013-01-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/2013-01-03","sa":"https://sa.vidhyamitra.com/city/phoenix/2013-01-03","hi":"https://hi.vidhyamitra.com/city/phoenix/2013-01-03","x-default":"https://vidhyamitra.com/city/phoenix/2013-01-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T00:35:14.758Z","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":"2026-06-02T00:35:14.758Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T00:35:14.758Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}