{"id":"vidhyamitra:city-day:phoenix:2101-01-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/2101-01-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2101-01-01","date_display":"January 1, 2101 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":2101,"month":1,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488434.770833,"kali_year":5202,"ahargana":1899969.2708,"sun":{"sidereal_longitude":254.6602,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":269.3113,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":14.6511,"elapsed_within_tithi_degrees":2.6511},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1,"moon_longitude":269.3113,"elapsed_within_degrees":2.6446},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":163.9715},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2101,"month":1,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2488434.770833,"ahargana":1899969.2708,"kali_year":5202,"ayanamsa_lahiri":25.2639,"grahas":{"sun":{"sidereal_longitude":255.14634999999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":269.16775000000007,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false,"latitude":-2.9608},"mars":{"sidereal_longitude":227.35764999999992,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":271.77185,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":200.75704999999994,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":239.21105,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":190.40065000000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":310.4847,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":130.4847,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"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":2101,"month":1,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488434.770833,"kali_year":5202,"ahargana":1899969.2708,"sun":{"sidereal_longitude":254.6602,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":269.3113,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":14.6511,"elapsed_within_tithi_degrees":2.6511},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1,"moon_longitude":269.3113,"elapsed_within_degrees":2.6446},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":163.9715},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.961,"elongation":14.651},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.961,"opposition_distance":165.349}},"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":"17:31","solarNoonLocal":"12:32","dayLengthHours":9.975964566777627,"dayLengthDisplay":"9 Hours 58 Mins 33 Secs","nightLengthDisplay":"14 Hours 01 Mins 27 Secs","moonriseLocal":"08:24","moonsetLocal":"18:32","rahuKala":{"name":"Rāhu Kāla","start":"10:02","end":"11:17","startHours":10.039361830362195,"endHours":11.286357401209397,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:47","end":"15:02","startHours":13.780348542903806,"endHours":15.027344113751008,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:33","end":"08:48","startHours":7.545370688667788,"endHours":8.792366259514992,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:52","end":"10:12","startHours":9.873095754249235,"endHours":10.205627906475154,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:58","end":"08:14","startHours":7.961035878950189,"endHours":8.227061600730925,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:12","end":"12:52","startHours":12.20082081983068,"endHours":12.865885124282523,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:13","end":"06:53","startHours":6.215242079764105,"endHours":6.880306384215946,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:43","end":"07:33","startHours":6.714040308102986,"endHours":7.545370688667788,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:12","end":"14:52","startHours":14.196013733186206,"endHours":14.861078037638048,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:19","end":"17:43","startHours":17.321335255445415,"endHours":17.721335255445414,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:31","end":"17:56","startHours":17.521335255445415,"endHours":17.937000445727815,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:16","end":"19:01","startHours":17.271335255445415,"endHours":19.021335255445415,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:12","end":"00:52","startHours":24.200820819830682,"endHours":24.86588512428252,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:33","end":"08:48","startHours":7.545370688667788,"endHours":8.792366259514992,"quality":"inauspicious"},{"name":"Śubha","start":"08:48","end":"10:02","startHours":8.792366259514992,"endHours":10.039361830362195,"quality":"auspicious"},{"name":"Roga","start":"10:02","end":"11:17","startHours":10.039361830362195,"endHours":11.286357401209397,"quality":"inauspicious"},{"name":"Udveg","start":"11:17","end":"12:32","startHours":11.286357401209397,"endHours":12.533352972056601,"quality":"inauspicious"},{"name":"Chala","start":"12:32","end":"13:47","startHours":12.533352972056601,"endHours":13.780348542903806,"quality":"neutral"},{"name":"Labha","start":"13:47","end":"15:02","startHours":13.780348542903806,"endHours":15.027344113751008,"quality":"auspicious"},{"name":"Amṛta","start":"15:02","end":"16:16","startHours":15.027344113751008,"endHours":16.27433968459821,"quality":"auspicious"},{"name":"Kāla","start":"16:16","end":"17:31","startHours":16.27433968459821,"endHours":17.521335255445415,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:31","end":"19:16","startHours":17.521335255445415,"endHours":19.27433968459821,"quality":"auspicious"},{"name":"Amṛta","start":"19:16","end":"21:02","startHours":19.27433968459821,"endHours":21.027344113751006,"quality":"auspicious"},{"name":"Kāla","start":"21:02","end":"22:47","startHours":21.027344113751006,"endHours":22.780348542903806,"quality":"inauspicious"},{"name":"Śubha","start":"22:47","end":"00:32","startHours":22.780348542903806,"endHours":24.5333529720566,"quality":"auspicious"},{"name":"Roga","start":"00:32","end":"02:17","startHours":24.5333529720566,"endHours":26.286357401209397,"quality":"inauspicious"},{"name":"Udveg","start":"02:17","end":"04:02","startHours":26.286357401209397,"endHours":28.039361830362196,"quality":"inauspicious"},{"name":"Chala","start":"04:02","end":"05:48","startHours":28.039361830362196,"endHours":29.792366259514992,"quality":"neutral"},{"name":"Labha","start":"05:48","end":"07:33","startHours":29.792366259514992,"endHours":31.545370688667788,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:33","end":"08:33","startHours":7.545370688667788,"endHours":8.545370688667788,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:33","end":"09:33","startHours":8.545370688667788,"endHours":9.545370688667788,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:33","end":"10:33","startHours":9.545370688667788,"endHours":10.545370688667788,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:33","end":"11:33","startHours":10.545370688667788,"endHours":11.545370688667788,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:33","end":"12:33","startHours":11.545370688667788,"endHours":12.545370688667788,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:33","end":"13:33","startHours":12.545370688667788,"endHours":13.545370688667788,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:33","end":"14:33","startHours":13.545370688667788,"endHours":14.545370688667788,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:33","end":"15:33","startHours":14.545370688667788,"endHours":15.545370688667788,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:33","end":"16:33","startHours":15.545370688667788,"endHours":16.545370688667788,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:33","end":"17:33","startHours":16.545370688667788,"endHours":17.545370688667788,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:33","end":"18:33","startHours":17.545370688667788,"endHours":18.545370688667788,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:33","end":"19:33","startHours":18.545370688667788,"endHours":19.545370688667788,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:33","end":"20:33","startHours":19.545370688667788,"endHours":20.545370688667788,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:33","end":"21:33","startHours":20.545370688667788,"endHours":21.545370688667788,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:33","end":"22:33","startHours":21.545370688667788,"endHours":22.545370688667788,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:33","end":"23:33","startHours":22.545370688667788,"endHours":23.545370688667788,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:33","end":"00:33","startHours":23.545370688667788,"endHours":24.545370688667788,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:33","end":"01:33","startHours":24.545370688667788,"endHours":25.545370688667788,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:33","end":"02:33","startHours":25.545370688667788,"endHours":26.545370688667788,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:33","end":"03:33","startHours":26.545370688667788,"endHours":27.545370688667788,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:33","end":"04:33","startHours":27.545370688667788,"endHours":28.545370688667788,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:33","end":"05:33","startHours":28.545370688667788,"endHours":29.545370688667788,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:33","end":"06:33","startHours":29.545370688667788,"endHours":30.545370688667788,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:33","end":"07:33","startHours":30.545370688667788,"endHours":31.545370688667788,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"East","anandadiYoga":{"name":"Mṛtyu","quality":"Inauspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-23.02828175968082,"eotMinutes":-3.705178323396069,"ayanamsa":25.2639}},"calendars":{"vikram_samvat":2158,"vikram_samvatsara":"Bhāva","saka_samvat":2023,"saka_samvatsara":"Durmati","bengali_samvat":1508,"malayalam_era":1277,"nanakshahi_year":632,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Dvitīyā · Vikram 2158 Bhāva · Śaka 2023 Durmati"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":5}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 1, 2101 CE · Phoenix, USA · Vidhyamitra","description":"January 1, 2101 CE for Phoenix, USA: Śukla Dvitīyā, sūryodaya 07:33, sūryāsta 17:31.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/2101-01-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/2101-01-01","sa":"https://sa.vidhyamitra.com/city/phoenix/2101-01-01","hi":"https://hi.vidhyamitra.com/city/phoenix/2101-01-01","x-default":"https://vidhyamitra.com/city/phoenix/2101-01-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-21T02:23:26.056Z","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":"2026-05-21T02:23:26.056Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-21T02:23:26.056Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}