{"id":"vidhyamitra:city-day:mathura:1990-01-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1990-01-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1990-01-03","date_display":"January 3, 1990 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":1990,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2447894.770833,"kali_year":5091,"ahargana":1859429.2708,"sun":{"sidereal_longitude":258.4868,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":331.6532,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":73.1664,"elapsed_within_tithi_degrees":1.1664},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4,"moon_longitude":331.6532,"elapsed_within_degrees":11.6532},"yoga":{"number":18,"name":"Varīyān","sum_longitude":230.1401},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":1990,"month":1,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2447894.770833,"ahargana":1859429.2708,"kali_year":5091,"ayanamsa_lahiri":23.7134,"grahas":{"sun":{"sidereal_longitude":258.67937600000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":330.51577599999996,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false,"latitude":2.4599},"mars":{"sidereal_longitude":227.50537600000007,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":271.4652759999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":71.402176,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":282.3656759999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":true},"saturn":{"sidereal_longitude":261.895976,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":298.489,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":118.489,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":1990,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2447894.770833,"kali_year":5091,"ahargana":1859429.2708,"sun":{"sidereal_longitude":258.4868,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":331.6532,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":73.1664,"elapsed_within_tithi_degrees":1.1664},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4,"moon_longitude":331.6532,"elapsed_within_degrees":11.6532},"yoga":{"number":18,"name":"Varīyān","sum_longitude":230.1401},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.46,"elongation":73.166},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.46,"opposition_distance":106.834}},"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":"07:10","sunsetLocal":"17:37","solarNoonLocal":"12:24","dayLengthHours":10.449255317738356,"dayLengthDisplay":"10 Hours 26 Mins 57 Secs","nightLengthDisplay":"13 Hours 33 Mins 03 Secs","moonriseLocal":"11:13","moonsetLocal":"23:09","rahuKala":{"name":"Rāhu Kāla","start":"12:24","end":"13:42","startHours":12.39824368051097,"endHours":13.704400595228265,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:29","end":"09:47","startHours":8.479772936359087,"endHours":9.78592985107638,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:06","end":"12:24","startHours":11.092086765793674,"endHours":12.39824368051097,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:37","end":"09:58","startHours":9.611775595780742,"endHours":9.960084106372019,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:53","startHours":7.60900165988089,"endHours":7.8876484683539125,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:45","startHours":12.04993516991969,"endHours":12.746552191102248,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.780381979276678,"endHours":6.476999000459235,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:10","startHours":6.302844745163595,"endHours":7.1736160216417915,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:08","end":"14:50","startHours":14.139786233467362,"endHours":14.83640325464992,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:25","end":"17:49","startHours":17.422871339380148,"endHours":17.822871339380146,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:37","end":"18:03","startHours":17.622871339380147,"endHours":18.058256977619244,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:22","end":"19:07","startHours":17.372871339380147,"endHours":19.122871339380147,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:45","startHours":24.049935169919692,"endHours":24.746552191102246,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:10","end":"08:29","startHours":7.1736160216417915,"endHours":8.479772936359087,"quality":"auspicious"},{"name":"Amṛta","start":"08:29","end":"09:47","startHours":8.479772936359087,"endHours":9.78592985107638,"quality":"auspicious"},{"name":"Kāla","start":"09:47","end":"11:06","startHours":9.78592985107638,"endHours":11.092086765793674,"quality":"inauspicious"},{"name":"Śubha","start":"11:06","end":"12:24","startHours":11.092086765793674,"endHours":12.39824368051097,"quality":"auspicious"},{"name":"Roga","start":"12:24","end":"13:42","startHours":12.39824368051097,"endHours":13.704400595228265,"quality":"inauspicious"},{"name":"Udveg","start":"13:42","end":"15:01","startHours":13.704400595228265,"endHours":15.010557509945558,"quality":"inauspicious"},{"name":"Chala","start":"15:01","end":"16:19","startHours":15.010557509945558,"endHours":16.31671442466285,"quality":"neutral"},{"name":"Labha","start":"16:19","end":"17:37","startHours":16.31671442466285,"endHours":17.622871339380147,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:37","end":"19:19","startHours":17.622871339380147,"endHours":19.31671442466285,"quality":"inauspicious"},{"name":"Chala","start":"19:19","end":"21:01","startHours":19.31671442466285,"endHours":21.010557509945556,"quality":"neutral"},{"name":"Labha","start":"21:01","end":"22:42","startHours":21.010557509945556,"endHours":22.704400595228265,"quality":"auspicious"},{"name":"Amṛta","start":"22:42","end":"00:24","startHours":22.704400595228265,"endHours":24.39824368051097,"quality":"auspicious"},{"name":"Kāla","start":"00:24","end":"02:06","startHours":24.39824368051097,"endHours":26.092086765793674,"quality":"inauspicious"},{"name":"Śubha","start":"02:06","end":"03:47","startHours":26.092086765793674,"endHours":27.785929851076382,"quality":"auspicious"},{"name":"Roga","start":"03:47","end":"05:29","startHours":27.785929851076382,"endHours":29.479772936359087,"quality":"inauspicious"},{"name":"Udveg","start":"05:29","end":"07:10","startHours":29.479772936359087,"endHours":31.17361602164179,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:10","end":"08:10","startHours":7.1736160216417915,"endHours":8.173616021641791,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:10","end":"09:10","startHours":8.173616021641791,"endHours":9.173616021641791,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:10","end":"10:10","startHours":9.173616021641791,"endHours":10.173616021641791,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:10","end":"11:10","startHours":10.173616021641791,"endHours":11.173616021641791,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:10","end":"12:10","startHours":11.173616021641791,"endHours":12.173616021641791,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:10","end":"13:10","startHours":12.173616021641791,"endHours":13.173616021641791,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:10","end":"14:10","startHours":13.173616021641791,"endHours":14.173616021641791,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:10","end":"15:10","startHours":14.173616021641791,"endHours":15.173616021641791,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:10","end":"16:10","startHours":15.173616021641791,"endHours":16.17361602164179,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:10","end":"17:10","startHours":16.17361602164179,"endHours":17.17361602164179,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:10","end":"18:10","startHours":17.17361602164179,"endHours":18.17361602164179,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:10","end":"19:10","startHours":18.17361602164179,"endHours":19.17361602164179,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:10","end":"20:10","startHours":19.17361602164179,"endHours":20.17361602164179,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:10","end":"21:10","startHours":20.17361602164179,"endHours":21.17361602164179,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:10","end":"22:10","startHours":21.17361602164179,"endHours":22.17361602164179,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:10","end":"23:10","startHours":22.17361602164179,"endHours":23.17361602164179,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:10","end":"00:10","startHours":23.17361602164179,"endHours":24.17361602164179,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:10","end":"01:10","startHours":24.17361602164179,"endHours":25.17361602164179,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:10","end":"02:10","startHours":25.17361602164179,"endHours":26.17361602164179,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:10","end":"03:10","startHours":26.17361602164179,"endHours":27.17361602164179,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:10","end":"04:10","startHours":27.17361602164179,"endHours":28.17361602164179,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:10","end":"05:10","startHours":28.17361602164179,"endHours":29.17361602164179,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:10","end":"06:10","startHours":29.17361602164179,"endHours":30.17361602164179,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:10","end":"07:10","startHours":30.17361602164179,"endHours":31.17361602164179,"planetary_lord":"Sun"}],"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":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"South-West","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"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":-22.85902301701735,"eotMinutes":-4.589420830658165,"ayanamsa":23.7134}},"calendars":{"vikram_samvat":2047,"vikram_samvatsara":"Subhānu","saka_samvat":1912,"saka_samvatsara":"Pramoda","bengali_samvat":1397,"malayalam_era":1166,"nanakshahi_year":521,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Saptamī · Vikram 2047 Subhānu · Śaka 1912 Pramoda"},"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":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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, 1990 CE · Mathurā · Vidhyamitra","description":"January 3, 1990 CE for Mathurā: Śukla Saptamī, sūryodaya 07:10, sūryāsta 17:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1990-01-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1990-01-03","sa":"https://sa.vidhyamitra.com/city/mathura/1990-01-03","hi":"https://hi.vidhyamitra.com/city/mathura/1990-01-03","x-default":"https://vidhyamitra.com/city/mathura/1990-01-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T15:39:17.495Z","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":"2026-05-14T15:39:17.495Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T15:39:17.495Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}