{"id":"vidhyamitra:city-day:mathura:2003-01-06:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2003-01-06","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2003-01-06","date_display":"January 6, 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":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452645.770833,"kali_year":5104,"ahargana":1864180.2708,"sun":{"sidereal_longitude":261.197,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":301.9775,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":40.7804,"elapsed_within_tithi_degrees":4.7804},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3,"moon_longitude":301.9775,"elapsed_within_degrees":8.6441},"yoga":{"number":16,"name":"Siddhi","sum_longitude":203.1745},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"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":2003,"month":1,"day":6,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452645.770833,"ahargana":1864180.2708,"kali_year":5104,"ayanamsa_lahiri":23.8951,"grahas":{"sun":{"sidereal_longitude":261.39645300000007,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":300.79965300000003,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false,"latitude":-4.3508},"mars":{"sidereal_longitude":208.90465300000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":273.53545299999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":112.42985299999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":214.51615300000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":60.05155300000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":46.7582,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":226.7582,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":2003,"month":1,"day":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452645.770833,"kali_year":5104,"ahargana":1864180.2708,"sun":{"sidereal_longitude":261.197,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":301.9775,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":40.7804,"elapsed_within_tithi_degrees":4.7804},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3,"moon_longitude":301.9775,"elapsed_within_degrees":8.6441},"yoga":{"number":16,"name":"Siddhi","sum_longitude":203.1745},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.351,"elongation":40.78},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.351,"opposition_distance":139.22}},"eclipse_window_40days":[{"offset_days":-17,"type":"lunar","occurs":true,"moon_latitude":1.434,"opposition_distance":2.531}]},"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":"07:11","sunsetLocal":"17:39","solarNoonLocal":"12:25","dayLengthHours":10.473835023027249,"dayLengthDisplay":"10 Hours 28 Mins 26 Secs","nightLengthDisplay":"13 Hours 31 Mins 34 Secs","moonriseLocal":"09:28","moonsetLocal":"20:37","rahuKala":{"name":"Rāhu Kāla","start":"08:30","end":"09:48","startHours":8.49199221814768,"endHours":9.801221596026085,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:07","end":"12:25","startHours":11.110450973904491,"endHours":12.419680351782898,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:44","end":"15:02","startHours":13.728909729661304,"endHours":15.03813910753971,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:38","end":"09:59","startHours":9.62665767897563,"endHours":9.975785513076538,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:54","startHours":7.619172632895408,"endHours":7.898474900176135,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:04","end":"12:46","startHours":12.070552517681989,"endHours":12.768808185883806,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.786251503865639,"endHours":6.484507172067456,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:19","end":"07:11","startHours":6.309943255017002,"endHours":7.182762840269272,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:10","end":"14:52","startHours":14.165319522287438,"endHours":14.863575190489255,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:27","end":"17:51","startHours":17.456597863296523,"endHours":17.85659786329652,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:39","end":"18:06","startHours":17.656597863296522,"endHours":18.09300765592266,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:24","end":"19:09","startHours":17.406597863296522,"endHours":19.156597863296522,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:04","end":"00:46","startHours":24.07055251768199,"endHours":24.768808185883806,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:11","end":"08:30","startHours":7.182762840269272,"endHours":8.49199221814768,"quality":"auspicious"},{"name":"Kāla","start":"08:30","end":"09:48","startHours":8.49199221814768,"endHours":9.801221596026085,"quality":"inauspicious"},{"name":"Śubha","start":"09:48","end":"11:07","startHours":9.801221596026085,"endHours":11.110450973904491,"quality":"auspicious"},{"name":"Roga","start":"11:07","end":"12:25","startHours":11.110450973904491,"endHours":12.419680351782898,"quality":"inauspicious"},{"name":"Udveg","start":"12:25","end":"13:44","startHours":12.419680351782898,"endHours":13.728909729661304,"quality":"inauspicious"},{"name":"Chala","start":"13:44","end":"15:02","startHours":13.728909729661304,"endHours":15.03813910753971,"quality":"neutral"},{"name":"Labha","start":"15:02","end":"16:21","startHours":15.03813910753971,"endHours":16.347368485418116,"quality":"auspicious"},{"name":"Amṛta","start":"16:21","end":"17:39","startHours":16.347368485418116,"endHours":17.656597863296522,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:39","end":"19:21","startHours":17.656597863296522,"endHours":19.347368485418116,"quality":"neutral"},{"name":"Labha","start":"19:21","end":"21:02","startHours":19.347368485418116,"endHours":21.03813910753971,"quality":"auspicious"},{"name":"Amṛta","start":"21:02","end":"22:44","startHours":21.03813910753971,"endHours":22.728909729661304,"quality":"auspicious"},{"name":"Kāla","start":"22:44","end":"00:25","startHours":22.728909729661304,"endHours":24.419680351782898,"quality":"inauspicious"},{"name":"Śubha","start":"00:25","end":"02:07","startHours":24.419680351782898,"endHours":26.11045097390449,"quality":"auspicious"},{"name":"Roga","start":"02:07","end":"03:48","startHours":26.11045097390449,"endHours":27.801221596026085,"quality":"inauspicious"},{"name":"Udveg","start":"03:48","end":"05:30","startHours":27.801221596026085,"endHours":29.49199221814768,"quality":"inauspicious"},{"name":"Chala","start":"05:30","end":"07:11","startHours":29.49199221814768,"endHours":31.182762840269273,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.182762840269272,"endHours":8.182762840269273,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.182762840269273,"endHours":9.182762840269273,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.182762840269273,"endHours":10.182762840269273,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.182762840269273,"endHours":11.182762840269273,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.182762840269273,"endHours":12.182762840269273,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.182762840269273,"endHours":13.182762840269273,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.182762840269273,"endHours":14.182762840269273,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.182762840269273,"endHours":15.182762840269273,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.182762840269273,"endHours":16.182762840269273,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.182762840269273,"endHours":17.182762840269273,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.182762840269273,"endHours":18.182762840269273,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.182762840269273,"endHours":19.182762840269273,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.182762840269273,"endHours":20.182762840269273,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.182762840269273,"endHours":21.182762840269273,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.182762840269273,"endHours":22.182762840269273,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.182762840269273,"endHours":23.182762840269273,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.182762840269273,"endHours":24.182762840269273,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.182762840269273,"endHours":25.182762840269273,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.182762840269273,"endHours":26.182762840269273,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.182762840269273,"endHours":27.182762840269273,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.182762840269273,"endHours":28.182762840269273,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.182762840269273,"endHours":29.182762840269273,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.182762840269273,"endHours":30.182762840269273,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.182762840269273,"endHours":31.182762840269273,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Sushira","quality":"Auspicious"},"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":-22.560034605473255,"eotMinutes":-5.875621106973772,"ayanamsa":23.8951}},"calendars":{"vikram_samvat":2060,"vikram_samvatsara":"Durmukhi","saka_samvat":1925,"saka_samvatsara":"Subhānu","bengali_samvat":1410,"malayalam_era":1179,"nanakshahi_year":534,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Caturthī · Vikram 2060 Durmukhi · Śaka 1925 Subhānu"},"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},{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"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 6, 2003 CE · Mathurā · Vidhyamitra","description":"January 6, 2003 CE for Mathurā: Śukla Caturthī, sūryodaya 07:11, sūryāsta 17:39.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2003-01-06","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2003-01-06","sa":"https://sa.vidhyamitra.com/city/mathura/2003-01-06","hi":"https://hi.vidhyamitra.com/city/mathura/2003-01-06","x-default":"https://vidhyamitra.com/city/mathura/2003-01-06"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T19:29:54.403Z","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":"2026-05-14T19:29:54.403Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T19:29:54.403Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}