{"id":"vidhyamitra:city-day:mathura:1985-12-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1985-12-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1985-12-31","date_display":"December 31, 1985 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":1985,"month":12,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2446430.770833,"kali_year":5087,"ahargana":1857965.2708,"sun":{"sidereal_longitude":255.4385,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":120.3155,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":224.877,"elapsed_within_tithi_degrees":8.877},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":120.3155,"elapsed_within_degrees":0.3155},"yoga":{"number":2,"name":"Prīti","sum_longitude":15.754},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":1985,"month":12,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2446430.770833,"ahargana":1857965.2708,"kali_year":5087,"ayanamsa_lahiri":23.6574,"grahas":{"sun":{"sidereal_longitude":255.64731200000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":118.93541199999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false,"latitude":4.3611},"mars":{"sidereal_longitude":196.47261200000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":237.975912,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":295.237212,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":251.16451200000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":221.02241200000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":16.0588,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":196.0588,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"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":1985,"month":12,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2446430.770833,"kali_year":5087,"ahargana":1857965.2708,"sun":{"sidereal_longitude":255.4385,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":120.3155,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":224.877,"elapsed_within_tithi_degrees":8.877},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":120.3155,"elapsed_within_degrees":0.3155},"yoga":{"number":2,"name":"Prīti","sum_longitude":15.754},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.361,"elongation":135.123},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.361,"opposition_distance":44.877}},"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":"17:35","solarNoonLocal":"12:23","dayLengthHours":10.428520975444425,"dayLengthDisplay":"10 Hours 25 Mins 43 Secs","nightLengthDisplay":"13 Hours 34 Mins 17 Secs","moonriseLocal":"20:43","moonsetLocal":"09:48","rahuKala":{"name":"Rāhu Kāla","start":"14:59","end":"16:17","startHours":14.983154159257861,"endHours":16.286719281188414,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:46","end":"11:04","startHours":9.768893671535649,"endHours":11.072458793466202,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:23","end":"13:41","startHours":12.376023915396754,"endHours":13.679589037327307,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:36","end":"09:57","startHours":9.595084988611575,"endHours":9.942702354459723,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:36","end":"07:52","startHours":7.596285134984727,"endHours":7.874379027663245,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:02","end":"12:43","startHours":12.028406549548608,"endHours":12.723641281244904,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:46","end":"06:28","startHours":5.771293964281952,"endHours":6.466528695978248,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:10","startHours":6.292720013054174,"endHours":7.1617634276745425,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:07","end":"14:49","startHours":14.114110744637493,"endHours":14.809345476333789,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:23","end":"17:47","startHours":17.39028440311897,"endHours":17.790284403118967,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:35","end":"18:01","startHours":17.590284403118968,"endHours":18.024806110429154,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:20","end":"19:05","startHours":17.340284403118968,"endHours":19.090284403118968,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:02","end":"00:43","startHours":24.02840654954861,"endHours":24.723641281244905,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:10","end":"08:28","startHours":7.1617634276745425,"endHours":8.465328549605095,"quality":"inauspicious"},{"name":"Udveg","start":"08:28","end":"09:46","startHours":8.465328549605095,"endHours":9.768893671535649,"quality":"inauspicious"},{"name":"Chala","start":"09:46","end":"11:04","startHours":9.768893671535649,"endHours":11.072458793466202,"quality":"neutral"},{"name":"Labha","start":"11:04","end":"12:23","startHours":11.072458793466202,"endHours":12.376023915396754,"quality":"auspicious"},{"name":"Amṛta","start":"12:23","end":"13:41","startHours":12.376023915396754,"endHours":13.679589037327307,"quality":"auspicious"},{"name":"Kāla","start":"13:41","end":"14:59","startHours":13.679589037327307,"endHours":14.983154159257861,"quality":"inauspicious"},{"name":"Śubha","start":"14:59","end":"16:17","startHours":14.983154159257861,"endHours":16.286719281188414,"quality":"auspicious"},{"name":"Roga","start":"16:17","end":"17:35","startHours":16.286719281188414,"endHours":17.590284403118968,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:35","end":"19:17","startHours":17.590284403118968,"endHours":19.286719281188414,"quality":"inauspicious"},{"name":"Śubha","start":"19:17","end":"20:59","startHours":19.286719281188414,"endHours":20.98315415925786,"quality":"auspicious"},{"name":"Roga","start":"20:59","end":"22:41","startHours":20.98315415925786,"endHours":22.67958903732731,"quality":"inauspicious"},{"name":"Udveg","start":"22:41","end":"00:23","startHours":22.67958903732731,"endHours":24.376023915396758,"quality":"inauspicious"},{"name":"Chala","start":"00:23","end":"02:04","startHours":24.376023915396758,"endHours":26.072458793466204,"quality":"neutral"},{"name":"Labha","start":"02:04","end":"03:46","startHours":26.072458793466204,"endHours":27.76889367153565,"quality":"auspicious"},{"name":"Amṛta","start":"03:46","end":"05:28","startHours":27.76889367153565,"endHours":29.465328549605097,"quality":"auspicious"},{"name":"Kāla","start":"05:28","end":"07:10","startHours":29.465328549605097,"endHours":31.161763427674543,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:10","end":"08:10","startHours":7.1617634276745425,"endHours":8.161763427674543,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:10","end":"09:10","startHours":8.161763427674543,"endHours":9.161763427674543,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:10","end":"10:10","startHours":9.161763427674543,"endHours":10.161763427674543,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:10","end":"11:10","startHours":10.161763427674543,"endHours":11.161763427674543,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:10","end":"12:10","startHours":11.161763427674543,"endHours":12.161763427674543,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:10","end":"13:10","startHours":12.161763427674543,"endHours":13.161763427674543,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:10","end":"14:10","startHours":13.161763427674543,"endHours":14.161763427674543,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:10","end":"15:10","startHours":14.161763427674543,"endHours":15.161763427674543,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:10","end":"16:10","startHours":15.161763427674543,"endHours":16.161763427674543,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:10","end":"17:10","startHours":16.161763427674543,"endHours":17.161763427674543,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:10","end":"18:10","startHours":17.161763427674543,"endHours":18.161763427674543,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:10","end":"19:10","startHours":18.161763427674543,"endHours":19.161763427674543,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:10","end":"20:10","startHours":19.161763427674543,"endHours":20.161763427674543,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:10","end":"21:10","startHours":20.161763427674543,"endHours":21.161763427674543,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:10","end":"22:10","startHours":21.161763427674543,"endHours":22.161763427674543,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:10","end":"23:10","startHours":22.161763427674543,"endHours":23.161763427674543,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:10","end":"00:10","startHours":23.161763427674543,"endHours":24.161763427674543,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:10","end":"01:10","startHours":24.161763427674543,"endHours":25.161763427674543,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:10","end":"02:10","startHours":25.161763427674543,"endHours":26.161763427674543,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:10","end":"03:10","startHours":26.161763427674543,"endHours":27.161763427674543,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:10","end":"04:10","startHours":27.161763427674543,"endHours":28.161763427674543,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:10","end":"05:10","startHours":28.161763427674543,"endHours":29.161763427674543,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:10","end":"06:10","startHours":29.161763427674543,"endHours":30.161763427674543,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:10","end":"07:10","startHours":30.161763427674543,"endHours":31.161763427674543,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"North","anandadiYoga":{"name":"Kāṇa","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":-23.110100658021302,"eotMinutes":-3.2562349238053434,"ayanamsa":23.6574}},"calendars":{"vikram_samvat":2042,"vikram_samvatsara":"Bahudhānya","saka_samvat":1907,"saka_samvatsara":"Krodhana","bengali_samvat":1392,"malayalam_era":1161,"nanakshahi_year":516,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Caturthī · Vikram 2042 Bahudhānya · Śaka 1907 Krodhana"},"festivals":[{"id":"angarika-chaturthi","name":"Aṅgāraka Caturthī (Tuesday Caturthī)","name_sanskrit":"अङ्गारक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa + Maṅgala","significance":"Tuesday-Caturthī (rare); supremely auspicious for Maṅgala-doṣa-nivāraṇa.","vrata":true,"detection":{"any_of":[{"tithi_number":4,"vara_name":"Maṅgalavāra (Tuesday)"},{"tithi_number":19,"vara_name":"Maṅgalavāra (Tuesday)"}]},"precedence":3},{"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":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 December 31, 1985 CE · Mathurā · Vidhyamitra","description":"December 31, 1985 CE for Mathurā: Kṛṣṇa Caturthī, sūryodaya 07:10, sūryāsta 17:35.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1985-12-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1985-12-31","sa":"https://sa.vidhyamitra.com/city/mathura/1985-12-31","hi":"https://hi.vidhyamitra.com/city/mathura/1985-12-31","x-default":"https://vidhyamitra.com/city/mathura/1985-12-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:57:59.527Z","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":"2026-05-14T14:57:59.527Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:57:59.527Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}