{"id":"vidhyamitra:city-day:mathura:2102-01-23:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2102-01-23","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2102-01-23","date_display":"January 23, 2102 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":2102,"month":1,"day":23,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488821.770833,"kali_year":5203,"ahargana":1900356.2708,"sun":{"sidereal_longitude":276.9956,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":328.5115,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":51.5159,"elapsed_within_tithi_degrees":3.5159},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3,"moon_longitude":328.5115,"elapsed_within_degrees":8.5115},"yoga":{"number":19,"name":"Parigha","sum_longitude":245.5072},"karana":{"half_tithi_index":8,"name":"Bava"},"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":2102,"month":1,"day":23,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2488821.770833,"ahargana":1900356.2708,"kali_year":5203,"ayanamsa_lahiri":25.2787,"grahas":{"sun":{"sidereal_longitude":277.29676400000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":330.61966400000006,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false,"latitude":2.8015},"mars":{"sidereal_longitude":44.921763999999996,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":252.31996400000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":230.18536399999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":234.93246399999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":202.89556400000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":289.9796,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":109.9796,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1},"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":2102,"month":1,"day":23,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488821.770833,"kali_year":5203,"ahargana":1900356.2708,"sun":{"sidereal_longitude":276.9956,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":328.5115,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":51.5159,"elapsed_within_tithi_degrees":3.5159},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3,"moon_longitude":328.5115,"elapsed_within_degrees":8.5115},"yoga":{"number":19,"name":"Parigha","sum_longitude":245.5072},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.802,"elongation":51.516},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.802,"opposition_distance":128.484}},"eclipse_window_40days":[{"offset_days":-4,"type":"solar","occurs":true,"moon_latitude":-1.366,"elongation":0.393},{"offset_days":11,"type":"lunar","occurs":true,"moon_latitude":0.307,"opposition_distance":2.772}]},"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"07:10","sunsetLocal":"17:52","solarNoonLocal":"12:31","dayLengthHours":10.71254669094423,"dayLengthDisplay":"10 Hours 42 Mins 45 Secs","nightLengthDisplay":"13 Hours 17 Mins 15 Secs","moonriseLocal":"10:05","moonsetLocal":"22:04","rahuKala":{"name":"Rāhu Kāla","start":"08:30","end":"09:50","startHours":8.50130161723121,"endHours":9.84036995359924,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:11","end":"12:31","startHours":11.179438289967267,"endHours":12.518506626335295,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:51","end":"15:12","startHours":13.857574962703325,"endHours":15.196643299071354,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:40","end":"10:01","startHours":9.661827508750168,"endHours":10.01891239844831,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:54","startHours":7.6085893929858575,"endHours":7.89425730474437,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:10","end":"12:53","startHours":12.161421736637154,"endHours":12.875591516033436,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:44","end":"06:27","startHours":5.733893722070617,"endHours":6.448063501466899,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:16","end":"07:10","startHours":6.269521056617829,"endHours":7.162233280863181,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:18","end":"15:01","startHours":14.303931074826,"endHours":15.018100854222283,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:40","end":"18:04","startHours":17.67477997180741,"endHours":18.07477997180741,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:52","end":"18:19","startHours":17.87477997180741,"endHours":18.321136083930085,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:37","end":"19:22","startHours":17.62477997180741,"endHours":19.37477997180741,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:10","end":"00:53","startHours":24.161421736637156,"endHours":24.875591516033435,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:10","end":"08:30","startHours":7.162233280863181,"endHours":8.50130161723121,"quality":"auspicious"},{"name":"Kāla","start":"08:30","end":"09:50","startHours":8.50130161723121,"endHours":9.84036995359924,"quality":"inauspicious"},{"name":"Śubha","start":"09:50","end":"11:11","startHours":9.84036995359924,"endHours":11.179438289967267,"quality":"auspicious"},{"name":"Roga","start":"11:11","end":"12:31","startHours":11.179438289967267,"endHours":12.518506626335295,"quality":"inauspicious"},{"name":"Udveg","start":"12:31","end":"13:51","startHours":12.518506626335295,"endHours":13.857574962703325,"quality":"inauspicious"},{"name":"Chala","start":"13:51","end":"15:12","startHours":13.857574962703325,"endHours":15.196643299071354,"quality":"neutral"},{"name":"Labha","start":"15:12","end":"16:32","startHours":15.196643299071354,"endHours":16.53571163543938,"quality":"auspicious"},{"name":"Amṛta","start":"16:32","end":"17:52","startHours":16.53571163543938,"endHours":17.87477997180741,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:52","end":"19:32","startHours":17.87477997180741,"endHours":19.53571163543938,"quality":"neutral"},{"name":"Labha","start":"19:32","end":"21:12","startHours":19.53571163543938,"endHours":21.196643299071354,"quality":"auspicious"},{"name":"Amṛta","start":"21:12","end":"22:51","startHours":21.196643299071354,"endHours":22.857574962703325,"quality":"auspicious"},{"name":"Kāla","start":"22:51","end":"00:31","startHours":22.857574962703325,"endHours":24.518506626335295,"quality":"inauspicious"},{"name":"Śubha","start":"00:31","end":"02:11","startHours":24.518506626335295,"endHours":26.179438289967266,"quality":"auspicious"},{"name":"Roga","start":"02:11","end":"03:50","startHours":26.179438289967266,"endHours":27.840369953599236,"quality":"inauspicious"},{"name":"Udveg","start":"03:50","end":"05:30","startHours":27.840369953599236,"endHours":29.50130161723121,"quality":"inauspicious"},{"name":"Chala","start":"05:30","end":"07:10","startHours":29.50130161723121,"endHours":31.16223328086318,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:10","end":"08:10","startHours":7.162233280863181,"endHours":8.16223328086318,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:10","end":"09:10","startHours":8.16223328086318,"endHours":9.16223328086318,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:10","end":"10:10","startHours":9.16223328086318,"endHours":10.16223328086318,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:10","end":"11:10","startHours":10.16223328086318,"endHours":11.16223328086318,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:10","end":"12:10","startHours":11.16223328086318,"endHours":12.16223328086318,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:10","end":"13:10","startHours":12.16223328086318,"endHours":13.16223328086318,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:10","end":"14:10","startHours":13.16223328086318,"endHours":14.16223328086318,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:10","end":"15:10","startHours":14.16223328086318,"endHours":15.16223328086318,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:10","end":"16:10","startHours":15.16223328086318,"endHours":16.16223328086318,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:10","end":"17:10","startHours":16.16223328086318,"endHours":17.16223328086318,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:10","end":"18:10","startHours":17.16223328086318,"endHours":18.16223328086318,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:10","end":"19:10","startHours":18.16223328086318,"endHours":19.16223328086318,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:10","end":"20:10","startHours":19.16223328086318,"endHours":20.16223328086318,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:10","end":"21:10","startHours":20.16223328086318,"endHours":21.16223328086318,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:10","end":"22:10","startHours":21.16223328086318,"endHours":22.16223328086318,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:10","end":"23:10","startHours":22.16223328086318,"endHours":23.16223328086318,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:10","end":"00:10","startHours":23.16223328086318,"endHours":24.16223328086318,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:10","end":"01:10","startHours":24.16223328086318,"endHours":25.16223328086318,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:10","end":"02:10","startHours":25.16223328086318,"endHours":26.16223328086318,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:10","end":"03:10","startHours":26.16223328086318,"endHours":27.16223328086318,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:10","end":"04:10","startHours":27.16223328086318,"endHours":28.16223328086318,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:10","end":"05:10","startHours":28.16223328086318,"endHours":29.16223328086318,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:10","end":"06:10","startHours":29.16223328086318,"endHours":30.16223328086318,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:10","end":"07:10","startHours":30.16223328086318,"endHours":31.16223328086318,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"drikRitu":"Śiśira (Winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-19.582413665695114,"eotMinutes":-11.805197580117738,"ayanamsa":25.2787}},"calendars":{"vikram_samvat":2159,"vikram_samvatsara":"Yuva","saka_samvat":2024,"saka_samvatsara":"Dundubhi","bengali_samvat":1509,"malayalam_era":1278,"nanakshahi_year":633,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Pañcamī · Vikram 2159 Yuva · Śaka 2024 Dundubhi"},"festivals":[{"id":"makara-sankranti","name":"Makara Saṅkrānti (Uttarāyaṇa)","name_sanskrit":"मकर सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Capricorn; Uttarāyaṇa (north-going) begins. Bhīṣma's chosen mahaprasthāna time.","vrata":true,"detection":{"sun_rashi":"Makara"},"precedence":1,"sources":["Mahābhārata Bhīṣma-Stuti","Sūrya-Siddhānta"]},{"id":"sarasvati-jayanti","name":"Sarasvatī Jayantī (Vasanta Pañchamī)","name_sanskrit":"सरस्वती जयन्ती / वसन्त पञ्चमी","tradition":"Pan-Hindu","associated_deity":"Sarasvatī (Vāk-tattva)","significance":"Manifestation of Devī Sarasvatī; vidyā-ārambha day; vasanta-ṛtu begins.","vrata":true,"detection":{"tithi_number":5,"tithi_paksha":"Śukla","lunar_month":"Māgha"},"precedence":2,"sources":["Skanda Purāṇa","Devī Bhāgavata"]},{"id":"pongal","name":"Pongal / Thai Pongal","name_sanskrit":"पोङ्गल","tradition":"Regional","associated_deity":"Sūrya Bhagavān","significance":"Tamil 4-day harvest festival; coincides with Makara Saṅkrānti.","vrata":false,"detection":{"sun_rashi":"Makara"},"precedence":2}],"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":"mathura"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 23, 2102 CE · Mathurā · Vidhyamitra","description":"January 23, 2102 CE for Mathurā: Śukla Pañcamī, sūryodaya 07:10, sūryāsta 17:52.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2102-01-23","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2102-01-23","sa":"https://sa.vidhyamitra.com/city/mathura/2102-01-23","hi":"https://hi.vidhyamitra.com/city/mathura/2102-01-23","x-default":"https://vidhyamitra.com/city/mathura/2102-01-23"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T17:41:23.539Z","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":"2026-05-14T17:41:23.539Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T17:41:23.539Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}