{"id":"vidhyamitra:city-day:mathura:2031-01-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2031-01-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2031-01-01","date_display":"January 1, 2031 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":2031,"month":1,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2462867.770833,"kali_year":5132,"ahargana":1874402.2708,"sun":{"sidereal_longitude":255.8045,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":348.2769,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":92.4725,"elapsed_within_tithi_degrees":8.4725},"nakshatra":{"number":27,"name":"Revatī","pada":1,"moon_longitude":348.2769,"elapsed_within_degrees":1.6103},"yoga":{"number":19,"name":"Parigha","sum_longitude":244.0814},"karana":{"half_tithi_index":15,"name":"Bava"},"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":2031,"month":1,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2462867.770833,"ahargana":1874402.2708,"kali_year":5132,"ayanamsa_lahiri":24.2861,"grahas":{"sun":{"sidereal_longitude":256.115997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":351.634797,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false,"latitude":3.7673},"mars":{"sidereal_longitude":177.76729699999999,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":233.233297,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":231.16779700000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":273.391397,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":38.49739699999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":225.1474,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":45.1474,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","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":2031,"month":1,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2462867.770833,"kali_year":5132,"ahargana":1874402.2708,"sun":{"sidereal_longitude":255.8045,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":348.2769,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":92.4725,"elapsed_within_tithi_degrees":8.4725},"nakshatra":{"number":27,"name":"Revatī","pada":1,"moon_longitude":348.2769,"elapsed_within_degrees":1.6103},"yoga":{"number":19,"name":"Parigha","sum_longitude":244.0814},"karana":{"half_tithi_index":15,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.767,"elongation":92.472},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.767,"opposition_distance":87.528}},"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":"17:36","solarNoonLocal":"12:23","dayLengthHours":10.435234562614585,"dayLengthDisplay":"10 Hours 26 Mins 07 Secs","nightLengthDisplay":"13 Hours 33 Mins 53 Secs","moonriseLocal":"12:29","moonsetLocal":"01:01","rahuKala":{"name":"Rāhu Kāla","start":"12:23","end":"13:41","startHours":12.383506305389936,"endHours":13.687910625716757,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:28","end":"09:46","startHours":8.470293344409466,"endHours":9.774697664736289,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:05","end":"12:23","startHours":11.079101985063112,"endHours":12.383506305389936,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:36","end":"09:57","startHours":9.600777088692713,"endHours":9.948618240779865,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:36","end":"07:53","startHours":7.600690464191583,"endHours":7.878963385861305,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:02","end":"12:44","startHours":12.035665153302782,"endHours":12.731347457477087,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:46","end":"06:28","startHours":5.774524415734032,"endHours":6.470206719908337,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:10","startHours":6.29628614386476,"endHours":7.1658890240826425,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:07","end":"14:49","startHours":14.122712065825699,"endHours":14.818394370000004,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:24","end":"17:48","startHours":17.401123586697228,"endHours":17.801123586697226,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:36","end":"18:02","startHours":17.601123586697227,"endHours":18.03592502680617,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:21","end":"19:06","startHours":17.351123586697227,"endHours":19.101123586697227,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:02","end":"00:44","startHours":24.035665153302784,"endHours":24.73134745747709,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:10","end":"08:28","startHours":7.1658890240826425,"endHours":8.470293344409466,"quality":"auspicious"},{"name":"Amṛta","start":"08:28","end":"09:46","startHours":8.470293344409466,"endHours":9.774697664736289,"quality":"auspicious"},{"name":"Kāla","start":"09:46","end":"11:05","startHours":9.774697664736289,"endHours":11.079101985063112,"quality":"inauspicious"},{"name":"Śubha","start":"11:05","end":"12:23","startHours":11.079101985063112,"endHours":12.383506305389936,"quality":"auspicious"},{"name":"Roga","start":"12:23","end":"13:41","startHours":12.383506305389936,"endHours":13.687910625716757,"quality":"inauspicious"},{"name":"Udveg","start":"13:41","end":"15:00","startHours":13.687910625716757,"endHours":14.992314946043582,"quality":"inauspicious"},{"name":"Chala","start":"15:00","end":"16:18","startHours":14.992314946043582,"endHours":16.296719266370406,"quality":"neutral"},{"name":"Labha","start":"16:18","end":"17:36","startHours":16.296719266370406,"endHours":17.601123586697227,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:36","end":"19:18","startHours":17.601123586697227,"endHours":19.296719266370403,"quality":"inauspicious"},{"name":"Chala","start":"19:18","end":"21:00","startHours":19.296719266370403,"endHours":20.99231494604358,"quality":"neutral"},{"name":"Labha","start":"21:00","end":"22:41","startHours":20.99231494604358,"endHours":22.687910625716757,"quality":"auspicious"},{"name":"Amṛta","start":"22:41","end":"00:23","startHours":22.687910625716757,"endHours":24.383506305389936,"quality":"auspicious"},{"name":"Kāla","start":"00:23","end":"02:05","startHours":24.383506305389936,"endHours":26.07910198506311,"quality":"inauspicious"},{"name":"Śubha","start":"02:05","end":"03:46","startHours":26.07910198506311,"endHours":27.774697664736287,"quality":"auspicious"},{"name":"Roga","start":"03:46","end":"05:28","startHours":27.774697664736287,"endHours":29.470293344409463,"quality":"inauspicious"},{"name":"Udveg","start":"05:28","end":"07:10","startHours":29.470293344409463,"endHours":31.16588902408264,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:10","end":"08:10","startHours":7.1658890240826425,"endHours":8.165889024082642,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:10","end":"09:10","startHours":8.165889024082642,"endHours":9.165889024082642,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:10","end":"10:10","startHours":9.165889024082642,"endHours":10.165889024082642,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:10","end":"11:10","startHours":10.165889024082642,"endHours":11.165889024082642,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:10","end":"12:10","startHours":11.165889024082642,"endHours":12.165889024082642,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:10","end":"13:10","startHours":12.165889024082642,"endHours":13.165889024082642,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:10","end":"14:10","startHours":13.165889024082642,"endHours":14.165889024082642,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:10","end":"15:10","startHours":14.165889024082642,"endHours":15.165889024082642,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:10","end":"16:10","startHours":15.165889024082642,"endHours":16.16588902408264,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:10","end":"17:10","startHours":16.16588902408264,"endHours":17.16588902408264,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:10","end":"18:10","startHours":17.16588902408264,"endHours":18.16588902408264,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:10","end":"19:10","startHours":18.16588902408264,"endHours":19.16588902408264,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:10","end":"20:10","startHours":19.16588902408264,"endHours":20.16588902408264,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:10","end":"21:10","startHours":20.16588902408264,"endHours":21.16588902408264,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:10","end":"22:10","startHours":21.16588902408264,"endHours":22.16588902408264,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:10","end":"23:10","startHours":22.16588902408264,"endHours":23.16588902408264,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:10","end":"00:10","startHours":23.16588902408264,"endHours":24.16588902408264,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:10","end":"01:10","startHours":24.16588902408264,"endHours":25.16588902408264,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:10","end":"02:10","startHours":25.16588902408264,"endHours":26.16588902408264,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:10","end":"03:10","startHours":26.16588902408264,"endHours":27.16588902408264,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:10","end":"04:10","startHours":27.16588902408264,"endHours":28.16588902408264,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:10","end":"05:10","startHours":28.16588902408264,"endHours":29.16588902408264,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:10","end":"06:10","startHours":29.16588902408264,"endHours":30.16588902408264,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:10","end":"07:10","startHours":30.16588902408264,"endHours":31.16588902408264,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"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":"Chatra","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":-23.028918192597427,"eotMinutes":-3.705178323396069,"ayanamsa":24.2861}},"calendars":{"vikram_samvat":2088,"vikram_samvatsara":"Raktākṣī","saka_samvat":1953,"saka_samvatsara":"Virodhakṛt","bengali_samvat":1438,"malayalam_era":1207,"nanakshahi_year":562,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Aṣṭamī · Vikram 2088 Raktākṣī · Śaka 1953 Virodhakṛt"},"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":[{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Śukla Aṣṭamī","url":"/day/-3137-12-25","relevance":0.5}]},"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 1, 2031 CE · Mathurā · Vidhyamitra","description":"January 1, 2031 CE for Mathurā: Śukla Aṣṭamī, sūryodaya 07:10, sūryāsta 17:36.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2031-01-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2031-01-01","sa":"https://sa.vidhyamitra.com/city/mathura/2031-01-01","hi":"https://hi.vidhyamitra.com/city/mathura/2031-01-01","x-default":"https://vidhyamitra.com/city/mathura/2031-01-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T15:44:56.709Z","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":"2026-05-14T15:44:56.709Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T15:44:56.709Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}