{"id":"vidhyamitra:city-day:mathura:2003-01-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2003-01-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2003-01-31","date_display":"January 31, 2003 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":2003,"month":1,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452670.770833,"kali_year":5104,"ahargana":1864205.2708,"sun":{"sidereal_longitude":286.843,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":271.0927,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":344.2497,"elapsed_within_tithi_degrees":8.2497},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2,"moon_longitude":271.0927,"elapsed_within_degrees":4.426},"yoga":{"number":15,"name":"Vajra","sum_longitude":197.9357},"karana":{"half_tithi_index":57,"name":"Śakuni"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2003,"month":1,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452670.770833,"ahargana":1864205.2708,"kali_year":5104,"ayanamsa_lahiri":23.8961,"grahas":{"sun":{"sidereal_longitude":286.84209799999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"moon":{"sidereal_longitude":269.524398,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false,"latitude":-3.2168},"mars":{"sidereal_longitude":225.00789800000007,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":261.8055979999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":109.42509799999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":240.93489799999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":58.58009800000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":45.4336,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":225.4336,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","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":2003,"month":1,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452670.770833,"kali_year":5104,"ahargana":1864205.2708,"sun":{"sidereal_longitude":286.843,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":271.0927,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":344.2497,"elapsed_within_tithi_degrees":8.2497},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2,"moon_longitude":271.0927,"elapsed_within_degrees":4.426},"yoga":{"number":15,"name":"Vajra","sum_longitude":197.9357},"karana":{"half_tithi_index":57,"name":"Śakuni"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.217,"elongation":15.75},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.217,"opposition_distance":164.25}},"eclipse_window_40days":[]},"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":"07:07","sunsetLocal":"17:59","solarNoonLocal":"12:33","dayLengthHours":10.870704239274028,"dayLengthDisplay":"10 Hours 52 Mins 15 Secs","nightLengthDisplay":"13 Hours 07 Mins 45 Secs","moonriseLocal":"06:08","moonsetLocal":"16:39","rahuKala":{"name":"Rāhu Kāla","start":"11:11","end":"12:33","startHours":11.188408445788113,"endHours":12.547246475697367,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:16","end":"16:37","startHours":15.264922535515874,"endHours":16.623760565425126,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:28","end":"09:50","startHours":8.470732385969606,"endHours":9.829570415878859,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:01","startHours":9.648392011890959,"endHours":10.010748819866759,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:34","end":"07:51","startHours":7.564840366030103,"endHours":7.854725812410744,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:11","end":"12:55","startHours":12.184889667721567,"endHours":12.909603283673167,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:40","end":"06:23","startHours":5.662467124157148,"endHours":6.38718074010875,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:12","end":"07:07","startHours":6.20600233612085,"endHours":7.111894356060352,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:22","end":"15:05","startHours":14.359030515576372,"endHours":15.083744131527974,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:47","end":"18:11","startHours":17.78259859533438,"endHours":18.18259859533438,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:59","end":"18:26","startHours":17.98259859533438,"endHours":18.43554460530413,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:44","end":"19:29","startHours":17.73259859533438,"endHours":19.48259859533438,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:11","end":"00:55","startHours":24.184889667721567,"endHours":24.909603283673167,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"07:07","end":"08:28","startHours":7.111894356060352,"endHours":8.470732385969606,"quality":"neutral"},{"name":"Labha","start":"08:28","end":"09:50","startHours":8.470732385969606,"endHours":9.829570415878859,"quality":"auspicious"},{"name":"Amṛta","start":"09:50","end":"11:11","startHours":9.829570415878859,"endHours":11.188408445788113,"quality":"auspicious"},{"name":"Kāla","start":"11:11","end":"12:33","startHours":11.188408445788113,"endHours":12.547246475697367,"quality":"inauspicious"},{"name":"Śubha","start":"12:33","end":"13:54","startHours":12.547246475697367,"endHours":13.90608450560662,"quality":"auspicious"},{"name":"Roga","start":"13:54","end":"15:16","startHours":13.90608450560662,"endHours":15.264922535515874,"quality":"inauspicious"},{"name":"Udveg","start":"15:16","end":"16:37","startHours":15.264922535515874,"endHours":16.623760565425126,"quality":"inauspicious"},{"name":"Chala","start":"16:37","end":"17:59","startHours":16.623760565425126,"endHours":17.98259859533438,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:59","end":"19:37","startHours":17.98259859533438,"endHours":19.623760565425126,"quality":"inauspicious"},{"name":"Udveg","start":"19:37","end":"21:16","startHours":19.623760565425126,"endHours":21.264922535515872,"quality":"inauspicious"},{"name":"Chala","start":"21:16","end":"22:54","startHours":21.264922535515872,"endHours":22.90608450560662,"quality":"neutral"},{"name":"Labha","start":"22:54","end":"00:33","startHours":22.90608450560662,"endHours":24.547246475697367,"quality":"auspicious"},{"name":"Amṛta","start":"00:33","end":"02:11","startHours":24.547246475697367,"endHours":26.188408445788113,"quality":"auspicious"},{"name":"Kāla","start":"02:11","end":"03:50","startHours":26.188408445788113,"endHours":27.82957041587886,"quality":"inauspicious"},{"name":"Śubha","start":"03:50","end":"05:28","startHours":27.82957041587886,"endHours":29.470732385969605,"quality":"auspicious"},{"name":"Roga","start":"05:28","end":"07:07","startHours":29.470732385969605,"endHours":31.111894356060354,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:07","end":"08:07","startHours":7.111894356060352,"endHours":8.111894356060352,"planetary_lord":"Venus"},{"name":"Hora 2","start":"08:07","end":"09:07","startHours":8.111894356060352,"endHours":9.111894356060352,"planetary_lord":"Sun"},{"name":"Hora 3","start":"09:07","end":"10:07","startHours":9.111894356060352,"endHours":10.111894356060352,"planetary_lord":"Mars"},{"name":"Hora 4","start":"10:07","end":"11:07","startHours":10.111894356060352,"endHours":11.111894356060352,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"11:07","end":"12:07","startHours":11.111894356060352,"endHours":12.111894356060352,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"12:07","end":"13:07","startHours":12.111894356060352,"endHours":13.111894356060352,"planetary_lord":"Moon"},{"name":"Hora 7","start":"13:07","end":"14:07","startHours":13.111894356060352,"endHours":14.111894356060352,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"14:07","end":"15:07","startHours":14.111894356060352,"endHours":15.111894356060352,"planetary_lord":"Venus"},{"name":"Hora 9","start":"15:07","end":"16:07","startHours":15.111894356060352,"endHours":16.111894356060354,"planetary_lord":"Sun"},{"name":"Hora 10","start":"16:07","end":"17:07","startHours":16.111894356060354,"endHours":17.111894356060354,"planetary_lord":"Mars"},{"name":"Hora 11","start":"17:07","end":"18:07","startHours":17.111894356060354,"endHours":18.111894356060354,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"18:07","end":"19:07","startHours":18.111894356060354,"endHours":19.111894356060354,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"19:07","end":"20:07","startHours":19.111894356060354,"endHours":20.111894356060354,"planetary_lord":"Moon"},{"name":"Hora 14","start":"20:07","end":"21:07","startHours":20.111894356060354,"endHours":21.111894356060354,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"21:07","end":"22:07","startHours":21.111894356060354,"endHours":22.111894356060354,"planetary_lord":"Venus"},{"name":"Hora 16","start":"22:07","end":"23:07","startHours":22.111894356060354,"endHours":23.111894356060354,"planetary_lord":"Sun"},{"name":"Hora 17","start":"23:07","end":"00:07","startHours":23.111894356060354,"endHours":24.111894356060354,"planetary_lord":"Mars"},{"name":"Hora 18","start":"00:07","end":"01:07","startHours":24.111894356060354,"endHours":25.111894356060354,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"01:07","end":"02:07","startHours":25.111894356060354,"endHours":26.111894356060354,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"02:07","end":"03:07","startHours":26.111894356060354,"endHours":27.111894356060354,"planetary_lord":"Moon"},{"name":"Hora 21","start":"03:07","end":"04:07","startHours":27.111894356060354,"endHours":28.111894356060354,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"04:07","end":"05:07","startHours":28.111894356060354,"endHours":29.111894356060354,"planetary_lord":"Venus"},{"name":"Hora 23","start":"05:07","end":"06:07","startHours":29.111894356060354,"endHours":30.111894356060354,"planetary_lord":"Sun"},{"name":"Hora 24","start":"06:07","end":"07:07","startHours":30.111894356060354,"endHours":31.111894356060354,"planetary_lord":"Mars"}],"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":"West (Paścim)","chandraVasa":"East","rahuVasa":"South-East","anandadiYoga":{"name":"Mānasa","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":-17.539405800051846,"eotMinutes":-13.52958854184206,"ayanamsa":23.8961}},"calendars":{"vikram_samvat":2060,"vikram_samvatsara":"Durmukhi","saka_samvat":1925,"saka_samvatsara":"Subhānu","bengali_samvat":1410,"malayalam_era":1179,"nanakshahi_year":534,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Caturdaśī · Vikram 2060 Durmukhi · Śaka 1925 Subhānu"},"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":"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},{"id":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 31, 2003 CE · Mathurā · Vidhyamitra","description":"January 31, 2003 CE for Mathurā: Kṛṣṇa Caturdaśī, sūryodaya 07:07, sūryāsta 17:59.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2003-01-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2003-01-31","sa":"https://sa.vidhyamitra.com/city/mathura/2003-01-31","hi":"https://hi.vidhyamitra.com/city/mathura/2003-01-31","x-default":"https://vidhyamitra.com/city/mathura/2003-01-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T17:31:24.963Z","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":"2026-05-14T17:31:24.963Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T17:31:24.963Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}