{"id":"vidhyamitra:city-day:noida:2173-01-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/noida/2173-01-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2173-01-04","date_display":"January 4, 2173 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":2173,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2514735.770833,"kali_year":5274,"ahargana":1926270.2708,"sun":{"sidereal_longitude":257.0964,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":133.2619,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":236.1655,"elapsed_within_tithi_degrees":8.1655},"nakshatra":{"number":10,"name":"Maghā","pada":4,"moon_longitude":133.2619,"elapsed_within_degrees":13.2619},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":30.3583},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2173,"month":1,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2514735.770833,"ahargana":1926270.2708,"kali_year":5274,"ayanamsa_lahiri":26.2698,"grahas":{"sun":{"sidereal_longitude":257.73025800000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":130.18305799999996,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false,"latitude":3.1056},"mars":{"sidereal_longitude":297.35335800000007,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":271.705058,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":220.69395800000007,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":247.041558,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":327.66405800000007,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":356.9312,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":176.9312,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","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":2173,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2514735.770833,"kali_year":5274,"ahargana":1926270.2708,"sun":{"sidereal_longitude":257.0964,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":133.2619,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":236.1655,"elapsed_within_tithi_degrees":8.1655},"nakshatra":{"number":10,"name":"Maghā","pada":4,"moon_longitude":133.2619,"elapsed_within_degrees":13.2619},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":30.3583},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.106,"elongation":123.834},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.106,"opposition_distance":56.166}},"eclipse_window_40days":[]},"city":{"slug":"noida","name":"Noida, Uttar Pradesh","lat":28.5355,"lon":77.391,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"noida","name":"Noida, Uttar Pradesh","lat":28.5355,"lon":77.391,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tier-1"},"sunriseLocal":"07:14","sunsetLocal":"17:37","solarNoonLocal":"12:25","dayLengthHours":10.387363858794572,"dayLengthDisplay":"10 Hours 23 Mins 15 Secs","nightLengthDisplay":"13 Hours 36 Mins 45 Secs","moonriseLocal":"21:32","moonsetLocal":"10:18","rahuKala":{"name":"Rāhu Kāla","start":"08:32","end":"09:50","startHours":8.529070334041137,"endHours":9.827490816390458,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:08","end":"12:25","startHours":11.12591129873978,"endHours":12.424331781089101,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:43","end":"15:01","startHours":13.722752263438423,"endHours":15.021172745787744,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:00","startHours":9.65436808541055,"endHours":10.000613547370369,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:40","end":"07:56","startHours":7.66345667914159,"endHours":7.940453048709445,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:05","end":"12:46","startHours":12.078086319129282,"endHours":12.77057724304892,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:51","end":"06:32","startHours":5.8456680038525395,"endHours":6.538158927772178,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:22","end":"07:14","startHours":6.365036196792269,"endHours":7.230649851691816,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:09","end":"14:51","startHours":14.155559090888197,"endHours":14.848050014807836,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:25","end":"17:49","startHours":17.418013710486388,"endHours":17.818013710486387,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:37","end":"18:03","startHours":17.618013710486387,"endHours":18.05082053793616,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:22","end":"19:07","startHours":17.368013710486387,"endHours":19.118013710486387,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:05","end":"00:46","startHours":24.078086319129284,"endHours":24.77057724304892,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:14","end":"08:32","startHours":7.230649851691816,"endHours":8.529070334041137,"quality":"auspicious"},{"name":"Kāla","start":"08:32","end":"09:50","startHours":8.529070334041137,"endHours":9.827490816390458,"quality":"inauspicious"},{"name":"Śubha","start":"09:50","end":"11:08","startHours":9.827490816390458,"endHours":11.12591129873978,"quality":"auspicious"},{"name":"Roga","start":"11:08","end":"12:25","startHours":11.12591129873978,"endHours":12.424331781089101,"quality":"inauspicious"},{"name":"Udveg","start":"12:25","end":"13:43","startHours":12.424331781089101,"endHours":13.722752263438423,"quality":"inauspicious"},{"name":"Chala","start":"13:43","end":"15:01","startHours":13.722752263438423,"endHours":15.021172745787744,"quality":"neutral"},{"name":"Labha","start":"15:01","end":"16:19","startHours":15.021172745787744,"endHours":16.319593228137066,"quality":"auspicious"},{"name":"Amṛta","start":"16:19","end":"17:37","startHours":16.319593228137066,"endHours":17.618013710486387,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:37","end":"19:19","startHours":17.618013710486387,"endHours":19.319593228137066,"quality":"neutral"},{"name":"Labha","start":"19:19","end":"21:01","startHours":19.319593228137066,"endHours":21.021172745787744,"quality":"auspicious"},{"name":"Amṛta","start":"21:01","end":"22:43","startHours":21.021172745787744,"endHours":22.722752263438423,"quality":"auspicious"},{"name":"Kāla","start":"22:43","end":"00:25","startHours":22.722752263438423,"endHours":24.4243317810891,"quality":"inauspicious"},{"name":"Śubha","start":"00:25","end":"02:08","startHours":24.4243317810891,"endHours":26.12591129873978,"quality":"auspicious"},{"name":"Roga","start":"02:08","end":"03:50","startHours":26.12591129873978,"endHours":27.82749081639046,"quality":"inauspicious"},{"name":"Udveg","start":"03:50","end":"05:32","startHours":27.82749081639046,"endHours":29.529070334041137,"quality":"inauspicious"},{"name":"Chala","start":"05:32","end":"07:14","startHours":29.529070334041137,"endHours":31.230649851691815,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:14","end":"08:14","startHours":7.230649851691816,"endHours":8.230649851691815,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:14","end":"09:14","startHours":8.230649851691815,"endHours":9.230649851691815,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:14","end":"10:14","startHours":9.230649851691815,"endHours":10.230649851691815,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:14","end":"11:14","startHours":10.230649851691815,"endHours":11.230649851691815,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:14","end":"12:14","startHours":11.230649851691815,"endHours":12.230649851691815,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:14","end":"13:14","startHours":12.230649851691815,"endHours":13.230649851691815,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:14","end":"14:14","startHours":13.230649851691815,"endHours":14.230649851691815,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:14","end":"15:14","startHours":14.230649851691815,"endHours":15.230649851691815,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:14","end":"16:14","startHours":15.230649851691815,"endHours":16.230649851691815,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:14","end":"17:14","startHours":16.230649851691815,"endHours":17.230649851691815,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:14","end":"18:14","startHours":17.230649851691815,"endHours":18.230649851691815,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:14","end":"19:14","startHours":18.230649851691815,"endHours":19.230649851691815,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:14","end":"20:14","startHours":19.230649851691815,"endHours":20.230649851691815,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:14","end":"21:14","startHours":20.230649851691815,"endHours":21.230649851691815,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:14","end":"22:14","startHours":21.230649851691815,"endHours":22.230649851691815,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:14","end":"23:14","startHours":22.230649851691815,"endHours":23.230649851691815,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:14","end":"00:14","startHours":23.230649851691815,"endHours":24.230649851691815,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:14","end":"01:14","startHours":24.230649851691815,"endHours":25.230649851691815,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:14","end":"02:14","startHours":25.230649851691815,"endHours":26.230649851691815,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:14","end":"03:14","startHours":26.230649851691815,"endHours":27.230649851691815,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:14","end":"04:14","startHours":27.230649851691815,"endHours":28.230649851691815,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:14","end":"05:14","startHours":28.230649851691815,"endHours":29.230649851691815,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:14","end":"06:14","startHours":29.230649851691815,"endHours":30.230649851691815,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:14","end":"07:14","startHours":30.230649851691815,"endHours":31.230649851691815,"planetary_lord":"Venus"}],"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":"East (Pūrva)","chandraVasa":"West","rahuVasa":"North-East","anandadiYoga":{"name":"Padma","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":-22.70074326645306,"eotMinutes":-5.02390686534617,"ayanamsa":26.2698}},"calendars":{"vikram_samvat":2230,"vikram_samvatsara":"Vyaya","saka_samvat":2095,"saka_samvatsara":"Śrīmukha","bengali_samvat":1580,"malayalam_era":1349,"nanakshahi_year":704,"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 2230 Vyaya · Śaka 2095 Śrīmukha"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"noida"},"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, 2173 CE · Noida, Uttar Pradesh · Vidhyamitra","description":"January 4, 2173 CE for Noida, Uttar Pradesh: Kṛṣṇa Pañcamī, sūryodaya 07:14, sūryāsta 17:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/noida/2173-01-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/noida/2173-01-04","sa":"https://sa.vidhyamitra.com/city/noida/2173-01-04","hi":"https://hi.vidhyamitra.com/city/noida/2173-01-04","x-default":"https://vidhyamitra.com/city/noida/2173-01-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T00:51:37.150Z","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":"2026-06-03T00:51:37.150Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T00:51:37.150Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}