{"id":"vidhyamitra:city-day:phoenix:2101-01-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/2101-01-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2101-01-20","date_display":"January 20, 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":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488453.770833,"kali_year":5202,"ahargana":1899988.2708,"sun":{"sidereal_longitude":274.1836,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":150.4103,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":236.2267,"elapsed_within_tithi_degrees":8.2267},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2,"moon_longitude":150.4103,"elapsed_within_degrees":3.7436},"yoga":{"number":5,"name":"Śobhana","sum_longitude":64.5939},"karana":{"half_tithi_index":39,"name":"Taitila"},"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":2101,"month":1,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2488453.770833,"ahargana":1899988.2708,"kali_year":5202,"ayanamsa_lahiri":25.2646,"grahas":{"sun":{"sidereal_longitude":274.504224,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":149.79292399999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false,"latitude":-1.6062},"mars":{"sidereal_longitude":240.98082399999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":279.846624,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":203.66272400000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":263.073124,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":191.54812400000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":309.478,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":129.478,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":2101,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488453.770833,"kali_year":5202,"ahargana":1899988.2708,"sun":{"sidereal_longitude":274.1836,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":150.4103,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":236.2267,"elapsed_within_tithi_degrees":8.2267},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2,"moon_longitude":150.4103,"elapsed_within_degrees":3.7436},"yoga":{"number":5,"name":"Śobhana","sum_longitude":64.5939},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.606,"elongation":123.773},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.606,"opposition_distance":56.227}},"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":"07:31","sunsetLocal":"17:47","solarNoonLocal":"12:39","dayLengthHours":10.27064805985728,"dayLengthDisplay":"10 Hours 16 Mins 14 Secs","nightLengthDisplay":"13 Hours 43 Mins 46 Secs","moonriseLocal":"22:12","moonsetLocal":"10:28","rahuKala":{"name":"Rāhu Kāla","start":"13:56","end":"15:13","startHours":13.938169396435981,"endHours":15.222000403918141,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:31","end":"08:48","startHours":7.519014359025181,"endHours":8.802845366507341,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:05","end":"11:22","startHours":10.086676373989501,"endHours":11.370507381471661,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:55","end":"10:15","startHours":9.915498906325212,"endHours":10.257853841653787,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:57","end":"08:13","startHours":7.9469580281859,"endHours":8.22084197644876,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:19","end":"13:00","startHours":12.311983453625245,"endHours":12.996693324282397,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:09","end":"06:50","startHours":6.149594617710877,"endHours":6.834304488368028,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:40","end":"07:31","startHours":6.66312702070374,"endHours":7.519014359025181,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:22","end":"15:03","startHours":14.3661130655967,"endHours":15.050822936253851,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:35","end":"17:59","startHours":17.58966241888246,"endHours":17.98966241888246,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:47","end":"18:13","startHours":17.78966241888246,"endHours":18.21760608804318,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:32","end":"19:17","startHours":17.53966241888246,"endHours":19.28966241888246,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:19","end":"01:00","startHours":24.311983453625245,"endHours":24.996693324282397,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:31","end":"08:48","startHours":7.519014359025181,"endHours":8.802845366507341,"quality":"auspicious"},{"name":"Roga","start":"08:48","end":"10:05","startHours":8.802845366507341,"endHours":10.086676373989501,"quality":"inauspicious"},{"name":"Udveg","start":"10:05","end":"11:22","startHours":10.086676373989501,"endHours":11.370507381471661,"quality":"inauspicious"},{"name":"Chala","start":"11:22","end":"12:39","startHours":11.370507381471661,"endHours":12.654338388953821,"quality":"neutral"},{"name":"Labha","start":"12:39","end":"13:56","startHours":12.654338388953821,"endHours":13.938169396435981,"quality":"auspicious"},{"name":"Amṛta","start":"13:56","end":"15:13","startHours":13.938169396435981,"endHours":15.222000403918141,"quality":"auspicious"},{"name":"Kāla","start":"15:13","end":"16:30","startHours":15.222000403918141,"endHours":16.5058314114003,"quality":"inauspicious"},{"name":"Śubha","start":"16:30","end":"17:47","startHours":16.5058314114003,"endHours":17.78966241888246,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:47","end":"19:30","startHours":17.78966241888246,"endHours":19.5058314114003,"quality":"auspicious"},{"name":"Kāla","start":"19:30","end":"21:13","startHours":19.5058314114003,"endHours":21.22200040391814,"quality":"inauspicious"},{"name":"Śubha","start":"21:13","end":"22:56","startHours":21.22200040391814,"endHours":22.93816939643598,"quality":"auspicious"},{"name":"Roga","start":"22:56","end":"00:39","startHours":22.93816939643598,"endHours":24.65433838895382,"quality":"inauspicious"},{"name":"Udveg","start":"00:39","end":"02:22","startHours":24.65433838895382,"endHours":26.37050738147166,"quality":"inauspicious"},{"name":"Chala","start":"02:22","end":"04:05","startHours":26.37050738147166,"endHours":28.0866763739895,"quality":"neutral"},{"name":"Labha","start":"04:05","end":"05:48","startHours":28.0866763739895,"endHours":29.80284536650734,"quality":"auspicious"},{"name":"Amṛta","start":"05:48","end":"07:31","startHours":29.80284536650734,"endHours":31.51901435902518,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:31","end":"08:31","startHours":7.519014359025181,"endHours":8.519014359025181,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:31","end":"09:31","startHours":8.519014359025181,"endHours":9.519014359025181,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:31","end":"10:31","startHours":9.519014359025181,"endHours":10.519014359025181,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:31","end":"11:31","startHours":10.519014359025181,"endHours":11.519014359025181,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:31","end":"12:31","startHours":11.519014359025181,"endHours":12.519014359025181,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:31","end":"13:31","startHours":12.519014359025181,"endHours":13.519014359025181,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:31","end":"14:31","startHours":13.519014359025181,"endHours":14.519014359025181,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:31","end":"15:31","startHours":14.519014359025181,"endHours":15.519014359025181,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:31","end":"16:31","startHours":15.519014359025181,"endHours":16.51901435902518,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:31","end":"17:31","startHours":16.51901435902518,"endHours":17.51901435902518,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:31","end":"18:31","startHours":17.51901435902518,"endHours":18.51901435902518,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:31","end":"19:31","startHours":18.51901435902518,"endHours":19.51901435902518,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:31","end":"20:31","startHours":19.51901435902518,"endHours":20.51901435902518,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:31","end":"21:31","startHours":20.51901435902518,"endHours":21.51901435902518,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:31","end":"22:31","startHours":21.51901435902518,"endHours":22.51901435902518,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:31","end":"23:31","startHours":22.51901435902518,"endHours":23.51901435902518,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:31","end":"00:31","startHours":23.51901435902518,"endHours":24.51901435902518,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:31","end":"01:31","startHours":24.51901435902518,"endHours":25.51901435902518,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:31","end":"02:31","startHours":25.51901435902518,"endHours":26.51901435902518,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:31","end":"03:31","startHours":26.51901435902518,"endHours":27.51901435902518,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:31","end":"04:31","startHours":27.51901435902518,"endHours":28.51901435902518,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:31","end":"05:31","startHours":28.51901435902518,"endHours":29.51901435902518,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:31","end":"06:31","startHours":29.51901435902518,"endHours":30.51901435902518,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:31","end":"07:31","startHours":30.51901435902518,"endHours":31.51901435902518,"planetary_lord":"Moon"}],"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","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"West","rahuVasa":"North-West","anandadiYoga":{"name":"Dhātṛ","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-20.196812712982897,"eotMinutes":-10.9643033372293,"ayanamsa":25.2646}},"calendars":{"vikram_samvat":2158,"vikram_samvatsara":"Bhāva","saka_samvat":2023,"saka_samvatsara":"Durmati","bengali_samvat":1508,"malayalam_era":1277,"nanakshahi_year":632,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Pañcamī · Vikram 2158 Bhāva · Śaka 2023 Durmati"},"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 20, 2101 CE · Phoenix, USA · Vidhyamitra","description":"January 20, 2101 CE for Phoenix, USA: Kṛṣṇa Pañcamī, sūryodaya 07:31, sūryāsta 17:47.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/2101-01-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/2101-01-20","sa":"https://sa.vidhyamitra.com/city/phoenix/2101-01-20","hi":"https://hi.vidhyamitra.com/city/phoenix/2101-01-20","x-default":"https://vidhyamitra.com/city/phoenix/2101-01-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T02:36:50.740Z","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":"2026-06-02T02:36:50.740Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T02:36:50.740Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}