{"id":"vidhyamitra:city-day:phoenix:2040-01-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/2040-01-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2040-01-04","date_display":"January 4, 2040 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":2040,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466157.770833,"kali_year":5141,"ahargana":1877692.2708,"sun":{"sidereal_longitude":258.5508,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":131.76,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":233.2092,"elapsed_within_tithi_degrees":5.2092},"nakshatra":{"number":10,"name":"Maghā","pada":4,"moon_longitude":131.76,"elapsed_within_degrees":11.76},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":30.3107},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2040,"month":1,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466157.770833,"ahargana":1877692.2708,"kali_year":5141,"ayanamsa_lahiri":24.4119,"grahas":{"sun":{"sidereal_longitude":258.85939499999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":128.600395,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false,"latitude":4.4437},"mars":{"sidereal_longitude":76.23979500000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":257.6839950000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":156.398595,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":222.48819500000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":166.62289499999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":50.8274,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":230.8274,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":2040,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466157.770833,"kali_year":5141,"ahargana":1877692.2708,"sun":{"sidereal_longitude":258.5508,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":131.76,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":233.2092,"elapsed_within_tithi_degrees":5.2092},"nakshatra":{"number":10,"name":"Maghā","pada":4,"moon_longitude":131.76,"elapsed_within_degrees":11.76},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":30.3107},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.444,"elongation":126.791},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.444,"opposition_distance":53.209}},"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":10.002930529318705,"dayLengthDisplay":"10 Hours 00 Mins 11 Secs","nightLengthDisplay":"13 Hours 59 Mins 49 Secs","moonriseLocal":"21:22","moonsetLocal":"10:23","rahuKala":{"name":"Rāhu Kāla","start":"12:33","end":"13:48","startHours":12.555331781089102,"endHours":13.805698097253938,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:48","end":"10:03","startHours":8.804232832594586,"endHours":10.054599148759424,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:18","end":"12:33","startHours":11.304965464924262,"endHours":12.555331781089102,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:53","end":"10:13","startHours":9.887883639937446,"endHours":10.221314657581402,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:58","end":"08:14","startHours":7.970655288484694,"endHours":8.237400102599858,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:13","end":"12:53","startHours":12.221900763445145,"endHours":12.888762798733058,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:13","end":"06:53","startHours":6.220142445853921,"endHours":6.887004481141834,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:43","end":"07:33","startHours":6.720288972319856,"endHours":7.553866516429748,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:13","end":"14:53","startHours":14.222486869308884,"endHours":14.889348904596797,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:21","end":"17:45","startHours":17.356797045748454,"endHours":17.756797045748453,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:33","end":"17:58","startHours":17.556797045748453,"endHours":17.9735858178034,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:18","end":"19:03","startHours":17.306797045748453,"endHours":19.056797045748453,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:13","end":"00:53","startHours":24.221900763445145,"endHours":24.888762798733058,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:33","end":"08:48","startHours":7.553866516429748,"endHours":8.804232832594586,"quality":"auspicious"},{"name":"Amṛta","start":"08:48","end":"10:03","startHours":8.804232832594586,"endHours":10.054599148759424,"quality":"auspicious"},{"name":"Kāla","start":"10:03","end":"11:18","startHours":10.054599148759424,"endHours":11.304965464924262,"quality":"inauspicious"},{"name":"Śubha","start":"11:18","end":"12:33","startHours":11.304965464924262,"endHours":12.555331781089102,"quality":"auspicious"},{"name":"Roga","start":"12:33","end":"13:48","startHours":12.555331781089102,"endHours":13.805698097253938,"quality":"inauspicious"},{"name":"Udveg","start":"13:48","end":"15:03","startHours":13.805698097253938,"endHours":15.056064413418778,"quality":"inauspicious"},{"name":"Chala","start":"15:03","end":"16:18","startHours":15.056064413418778,"endHours":16.306430729583617,"quality":"neutral"},{"name":"Labha","start":"16:18","end":"17:33","startHours":16.306430729583617,"endHours":17.556797045748453,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:33","end":"19:18","startHours":17.556797045748453,"endHours":19.306430729583614,"quality":"inauspicious"},{"name":"Chala","start":"19:18","end":"21:03","startHours":19.306430729583614,"endHours":21.056064413418778,"quality":"neutral"},{"name":"Labha","start":"21:03","end":"22:48","startHours":21.056064413418778,"endHours":22.805698097253938,"quality":"auspicious"},{"name":"Amṛta","start":"22:48","end":"00:33","startHours":22.805698097253938,"endHours":24.5553317810891,"quality":"auspicious"},{"name":"Kāla","start":"00:33","end":"02:18","startHours":24.5553317810891,"endHours":26.304965464924262,"quality":"inauspicious"},{"name":"Śubha","start":"02:18","end":"04:03","startHours":26.304965464924262,"endHours":28.054599148759422,"quality":"auspicious"},{"name":"Roga","start":"04:03","end":"05:48","startHours":28.054599148759422,"endHours":29.804232832594586,"quality":"inauspicious"},{"name":"Udveg","start":"05:48","end":"07:33","startHours":29.804232832594586,"endHours":31.55386651642975,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:33","end":"08:33","startHours":7.553866516429748,"endHours":8.553866516429748,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:33","end":"09:33","startHours":8.553866516429748,"endHours":9.553866516429748,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:33","end":"10:33","startHours":9.553866516429748,"endHours":10.553866516429748,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:33","end":"11:33","startHours":10.553866516429748,"endHours":11.553866516429748,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:33","end":"12:33","startHours":11.553866516429748,"endHours":12.553866516429748,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:33","end":"13:33","startHours":12.553866516429748,"endHours":13.553866516429748,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:33","end":"14:33","startHours":13.553866516429748,"endHours":14.553866516429748,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:33","end":"15:33","startHours":14.553866516429748,"endHours":15.553866516429748,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:33","end":"16:33","startHours":15.553866516429748,"endHours":16.55386651642975,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:33","end":"17:33","startHours":16.55386651642975,"endHours":17.55386651642975,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:33","end":"18:33","startHours":17.55386651642975,"endHours":18.55386651642975,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:33","end":"19:33","startHours":18.55386651642975,"endHours":19.55386651642975,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:33","end":"20:33","startHours":19.55386651642975,"endHours":20.55386651642975,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:33","end":"21:33","startHours":20.55386651642975,"endHours":21.55386651642975,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:33","end":"22:33","startHours":21.55386651642975,"endHours":22.55386651642975,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:33","end":"23:33","startHours":22.55386651642975,"endHours":23.55386651642975,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:33","end":"00:33","startHours":23.55386651642975,"endHours":24.55386651642975,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:33","end":"01:33","startHours":24.55386651642975,"endHours":25.55386651642975,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:33","end":"02:33","startHours":25.55386651642975,"endHours":26.55386651642975,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:33","end":"03:33","startHours":26.55386651642975,"endHours":27.55386651642975,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:33","end":"04:33","startHours":27.55386651642975,"endHours":28.55386651642975,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:33","end":"05:33","startHours":28.55386651642975,"endHours":29.55386651642975,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:33","end":"06:33","startHours":29.55386651642975,"endHours":30.55386651642975,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:33","end":"07:33","startHours":30.55386651642975,"endHours":31.55386651642975,"planetary_lord":"Sun"}],"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":"South-West","anandadiYoga":{"name":"Mausala","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":-22.774832784159575,"eotMinutes":-5.02390686534617,"ayanamsa":24.4119}},"calendars":{"vikram_samvat":2097,"vikram_samvatsara":"Śrīmukha","saka_samvat":1962,"saka_samvatsara":"Raudra","bengali_samvat":1447,"malayalam_era":1216,"nanakshahi_year":571,"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 Pañcamī · Vikram 2097 Śrīmukha · Śaka 1962 Raudra"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 4, 2040 CE · Phoenix, USA · Vidhyamitra","description":"January 4, 2040 CE for Phoenix, USA: Kṛṣṇa Pañcamī, sūryodaya 07:33, sūryāsta 17:33.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/2040-01-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/2040-01-04","sa":"https://sa.vidhyamitra.com/city/phoenix/2040-01-04","hi":"https://hi.vidhyamitra.com/city/phoenix/2040-01-04","x-default":"https://vidhyamitra.com/city/phoenix/2040-01-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T20:03:44.217Z","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":"2026-06-02T20:03:44.217Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T20:03:44.217Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}