{"id":"vidhyamitra:city-day:mathura:2000-01-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2000-01-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2000-01-03","date_display":"January 3, 2000 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":2000,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2451546.770833,"kali_year":5101,"ahargana":1863081.2708,"sun":{"sidereal_longitude":257.8828,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":215.6684,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":317.7857,"elapsed_within_tithi_degrees":5.7857},"nakshatra":{"number":17,"name":"Anurādhā","pada":1,"moon_longitude":215.6684,"elapsed_within_degrees":2.3351},"yoga":{"number":9,"name":"Śūla","sum_longitude":113.5512},"karana":{"half_tithi_index":52,"name":"Kaulava"},"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":2000,"month":1,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2451546.770833,"ahargana":1863081.2708,"kali_year":5101,"ayanamsa_lahiri":23.8531,"grahas":{"sun":{"sidereal_longitude":258.10344299999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":217.90874299999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false,"latitude":4.2095},"mars":{"sidereal_longitude":305.30914299999995,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":250.46464300000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":1.469142999999974,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":219.580643,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":16.432343000000003,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":104.9885,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":284.9885,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","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":2000,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2451546.770833,"kali_year":5101,"ahargana":1863081.2708,"sun":{"sidereal_longitude":257.8828,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":215.6684,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":317.7857,"elapsed_within_tithi_degrees":5.7857},"nakshatra":{"number":17,"name":"Anurādhā","pada":1,"moon_longitude":215.6684,"elapsed_within_degrees":2.3351},"yoga":{"number":9,"name":"Śūla","sum_longitude":113.5512},"karana":{"half_tithi_index":52,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.21,"elongation":42.214},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.21,"opposition_distance":137.786}},"eclipse_window_40days":[{"offset_days":18,"type":"lunar","occurs":true,"moon_latitude":-0.697,"opposition_distance":1.262}]},"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":"17:37","solarNoonLocal":"12:24","dayLengthHours":10.44598131364838,"dayLengthDisplay":"10 Hours 26 Mins 46 Secs","nightLengthDisplay":"13 Hours 33 Mins 14 Secs","moonriseLocal":"04:25","moonsetLocal":"15:01","rahuKala":{"name":"Rāhu Kāla","start":"08:29","end":"09:47","startHours":8.481000687892827,"endHours":9.786748352098876,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:06","end":"12:24","startHours":11.092496016304922,"endHours":12.39824368051097,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:42","end":"15:01","startHours":13.703991344717018,"endHours":15.009739008923065,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:37","end":"09:58","startHours":9.612648663538069,"endHours":9.96084804065968,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:53","startHours":7.610502245088796,"endHours":7.889061746786086,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:45","startHours":12.050044303389356,"endHours":12.746443057632582,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.782455515200329,"endHours":6.478854269443555,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:11","startHours":6.304754580882749,"endHours":7.17525302368678,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:08","end":"14:50","startHours":14.139240566119033,"endHours":14.835639320362258,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:25","end":"17:49","startHours":17.42123433733516,"endHours":17.82123433733516,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:37","end":"18:03","startHours":17.62123433733516,"endHours":18.056483558737177,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:22","end":"19:07","startHours":17.37123433733516,"endHours":19.12123433733516,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:45","startHours":24.050044303389356,"endHours":24.746443057632582,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:11","end":"08:29","startHours":7.17525302368678,"endHours":8.481000687892827,"quality":"auspicious"},{"name":"Kāla","start":"08:29","end":"09:47","startHours":8.481000687892827,"endHours":9.786748352098876,"quality":"inauspicious"},{"name":"Śubha","start":"09:47","end":"11:06","startHours":9.786748352098876,"endHours":11.092496016304922,"quality":"auspicious"},{"name":"Roga","start":"11:06","end":"12:24","startHours":11.092496016304922,"endHours":12.39824368051097,"quality":"inauspicious"},{"name":"Udveg","start":"12:24","end":"13:42","startHours":12.39824368051097,"endHours":13.703991344717018,"quality":"inauspicious"},{"name":"Chala","start":"13:42","end":"15:01","startHours":13.703991344717018,"endHours":15.009739008923065,"quality":"neutral"},{"name":"Labha","start":"15:01","end":"16:19","startHours":15.009739008923065,"endHours":16.315486673129115,"quality":"auspicious"},{"name":"Amṛta","start":"16:19","end":"17:37","startHours":16.315486673129115,"endHours":17.62123433733516,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:37","end":"19:19","startHours":17.62123433733516,"endHours":19.31548667312911,"quality":"neutral"},{"name":"Labha","start":"19:19","end":"21:01","startHours":19.31548667312911,"endHours":21.009739008923066,"quality":"auspicious"},{"name":"Amṛta","start":"21:01","end":"22:42","startHours":21.009739008923066,"endHours":22.703991344717018,"quality":"auspicious"},{"name":"Kāla","start":"22:42","end":"00:24","startHours":22.703991344717018,"endHours":24.39824368051097,"quality":"inauspicious"},{"name":"Śubha","start":"00:24","end":"02:06","startHours":24.39824368051097,"endHours":26.09249601630492,"quality":"auspicious"},{"name":"Roga","start":"02:06","end":"03:47","startHours":26.09249601630492,"endHours":27.786748352098876,"quality":"inauspicious"},{"name":"Udveg","start":"03:47","end":"05:29","startHours":27.786748352098876,"endHours":29.481000687892827,"quality":"inauspicious"},{"name":"Chala","start":"05:29","end":"07:11","startHours":29.481000687892827,"endHours":31.17525302368678,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.17525302368678,"endHours":8.17525302368678,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.17525302368678,"endHours":9.17525302368678,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.17525302368678,"endHours":10.17525302368678,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.17525302368678,"endHours":11.17525302368678,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.17525302368678,"endHours":12.17525302368678,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.17525302368678,"endHours":13.17525302368678,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.17525302368678,"endHours":14.17525302368678,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.17525302368678,"endHours":15.17525302368678,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.17525302368678,"endHours":16.17525302368678,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.17525302368678,"endHours":17.17525302368678,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.17525302368678,"endHours":18.17525302368678,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.17525302368678,"endHours":19.17525302368678,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.17525302368678,"endHours":20.17525302368678,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.17525302368678,"endHours":21.17525302368678,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.17525302368678,"endHours":22.17525302368678,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.17525302368678,"endHours":23.17525302368678,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.17525302368678,"endHours":24.17525302368678,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.17525302368678,"endHours":25.17525302368678,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.17525302368678,"endHours":26.17525302368678,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.17525302368678,"endHours":27.17525302368678,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.17525302368678,"endHours":28.17525302368678,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.17525302368678,"endHours":29.17525302368678,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.17525302368678,"endHours":30.17525302368678,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.17525302368678,"endHours":31.17525302368678,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-East","rahuVasa":"North-East","anandadiYoga":{"name":"Amṛta","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":-22.898738055721306,"eotMinutes":-4.589420830658165,"ayanamsa":23.8531}},"calendars":{"vikram_samvat":2057,"vikram_samvatsara":"Vijaya","saka_samvat":1922,"saka_samvatsara":"Vikrama","bengali_samvat":1407,"malayalam_era":1176,"nanakshahi_year":531,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Dvādaśī · Vikram 2057 Vijaya · Śaka 1922 Vikrama"},"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}],"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 3, 2000 CE · Mathurā · Vidhyamitra","description":"January 3, 2000 CE for Mathurā: Kṛṣṇa Dvādaśī, sūryodaya 07:11, sūryāsta 17:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2000-01-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2000-01-03","sa":"https://sa.vidhyamitra.com/city/mathura/2000-01-03","hi":"https://hi.vidhyamitra.com/city/mathura/2000-01-03","x-default":"https://vidhyamitra.com/city/mathura/2000-01-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T12:37:45.146Z","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":"2026-05-14T12:37:45.146Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T12:37:45.146Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}