{"id":"vidhyamitra:city-day:mathura:2034-01-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2034-01-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2034-01-16","date_display":"January 16, 2034 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":2034,"month":1,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463978.770833,"kali_year":5135,"ahargana":1875513.2708,"sun":{"sidereal_longitude":271.4498,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":219.0349,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":307.5851,"elapsed_within_tithi_degrees":7.5851},"nakshatra":{"number":17,"name":"Anurādhā","pada":2,"moon_longitude":219.0349,"elapsed_within_degrees":5.7016},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":130.4847},"karana":{"half_tithi_index":51,"name":"Bālava"},"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":2034,"month":1,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2463978.770833,"ahargana":1875513.2708,"kali_year":5135,"ayanamsa_lahiri":24.3285,"grahas":{"sun":{"sidereal_longitude":271.63564900000006,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":219.647249,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false,"latitude":3.5808},"mars":{"sidereal_longitude":337.632249,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":285.476449,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":312.88664900000003,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":274.03364899999997,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":82.55334900000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":166.2813,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":346.2813,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","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":2034,"month":1,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463978.770833,"kali_year":5135,"ahargana":1875513.2708,"sun":{"sidereal_longitude":271.4498,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":219.0349,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":307.5851,"elapsed_within_tithi_degrees":7.5851},"nakshatra":{"number":17,"name":"Anurādhā","pada":2,"moon_longitude":219.0349,"elapsed_within_degrees":5.7016},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":130.4847},"karana":{"half_tithi_index":51,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.581,"elongation":52.415},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.581,"opposition_distance":127.585}},"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":"07:11","sunsetLocal":"17:47","solarNoonLocal":"12:29","dayLengthHours":10.60404522726315,"dayLengthDisplay":"10 Hours 36 Mins 15 Secs","nightLengthDisplay":"13 Hours 23 Mins 45 Secs","moonriseLocal":"03:44","moonsetLocal":"14:18","rahuKala":{"name":"Rāhu Kāla","start":"08:30","end":"09:50","startHours":8.506784732139279,"endHours":9.832290385547171,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:09","end":"12:29","startHours":11.157796038955066,"endHours":12.48330169236296,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:49","end":"15:08","startHours":13.808807345770854,"endHours":15.134312999178746,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:01","startHours":9.65555629842612,"endHours":10.009024472668225,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:54","startHours":7.623114296534016,"endHours":7.9058888359277,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:08","end":"12:50","startHours":12.129833518120856,"endHours":12.836769866605065,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:46","end":"06:28","startHours":5.7674063817629655,"endHours":6.474342730247175,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:11","startHours":6.2976086431261225,"endHours":7.181279078731385,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:15","end":"14:57","startHours":14.250642563573486,"endHours":14.957578912057695,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:35","end":"17:59","startHours":17.585324305994536,"endHours":17.985324305994535,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:47","end":"18:14","startHours":17.785324305994536,"endHours":18.227159523797166,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:32","end":"19:17","startHours":17.535324305994536,"endHours":19.285324305994536,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:08","end":"00:50","startHours":24.129833518120854,"endHours":24.836769866605067,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:11","end":"08:30","startHours":7.181279078731385,"endHours":8.506784732139279,"quality":"auspicious"},{"name":"Kāla","start":"08:30","end":"09:50","startHours":8.506784732139279,"endHours":9.832290385547171,"quality":"inauspicious"},{"name":"Śubha","start":"09:50","end":"11:09","startHours":9.832290385547171,"endHours":11.157796038955066,"quality":"auspicious"},{"name":"Roga","start":"11:09","end":"12:29","startHours":11.157796038955066,"endHours":12.48330169236296,"quality":"inauspicious"},{"name":"Udveg","start":"12:29","end":"13:49","startHours":12.48330169236296,"endHours":13.808807345770854,"quality":"inauspicious"},{"name":"Chala","start":"13:49","end":"15:08","startHours":13.808807345770854,"endHours":15.134312999178746,"quality":"neutral"},{"name":"Labha","start":"15:08","end":"16:28","startHours":15.134312999178746,"endHours":16.45981865258664,"quality":"auspicious"},{"name":"Amṛta","start":"16:28","end":"17:47","startHours":16.45981865258664,"endHours":17.785324305994536,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:47","end":"19:28","startHours":17.785324305994536,"endHours":19.45981865258664,"quality":"neutral"},{"name":"Labha","start":"19:28","end":"21:08","startHours":19.45981865258664,"endHours":21.134312999178746,"quality":"auspicious"},{"name":"Amṛta","start":"21:08","end":"22:49","startHours":21.134312999178746,"endHours":22.808807345770855,"quality":"auspicious"},{"name":"Kāla","start":"22:49","end":"00:29","startHours":22.808807345770855,"endHours":24.48330169236296,"quality":"inauspicious"},{"name":"Śubha","start":"00:29","end":"02:09","startHours":24.48330169236296,"endHours":26.157796038955066,"quality":"auspicious"},{"name":"Roga","start":"02:09","end":"03:50","startHours":26.157796038955066,"endHours":27.832290385547175,"quality":"inauspicious"},{"name":"Udveg","start":"03:50","end":"05:30","startHours":27.832290385547175,"endHours":29.50678473213928,"quality":"inauspicious"},{"name":"Chala","start":"05:30","end":"07:11","startHours":29.50678473213928,"endHours":31.181279078731386,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.181279078731385,"endHours":8.181279078731386,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.181279078731386,"endHours":9.181279078731386,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.181279078731386,"endHours":10.181279078731386,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.181279078731386,"endHours":11.181279078731386,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.181279078731386,"endHours":12.181279078731386,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.181279078731386,"endHours":13.181279078731386,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.181279078731386,"endHours":14.181279078731386,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.181279078731386,"endHours":15.181279078731386,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.181279078731386,"endHours":16.181279078731386,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.181279078731386,"endHours":17.181279078731386,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.181279078731386,"endHours":18.181279078731386,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.181279078731386,"endHours":19.181279078731386,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.181279078731386,"endHours":20.181279078731386,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.181279078731386,"endHours":21.181279078731386,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.181279078731386,"endHours":22.181279078731386,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.181279078731386,"endHours":23.181279078731386,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.181279078731386,"endHours":24.181279078731386,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.181279078731386,"endHours":25.181279078731386,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.181279078731386,"endHours":26.181279078731386,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.181279078731386,"endHours":27.181279078731386,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.181279078731386,"endHours":28.181279078731386,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.181279078731386,"endHours":29.181279078731386,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.181279078731386,"endHours":30.181279078731386,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.181279078731386,"endHours":31.181279078731386,"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)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-20.952177030302828,"eotMinutes":-9.692901541777706,"ayanamsa":24.3285}},"calendars":{"vikram_samvat":2091,"vikram_samvatsara":"Prabhava","saka_samvat":1956,"saka_samvatsara":"Ānanda","bengali_samvat":1441,"malayalam_era":1210,"nanakshahi_year":565,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Ekādaśī · Vikram 2091 Prabhava · Śaka 1956 Ānanda"},"festivals":[{"id":"makara-sankranti","name":"Makara Saṅkrānti (Uttarāyaṇa)","name_sanskrit":"मकर सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Capricorn; Uttarāyaṇa (north-going) begins. Bhīṣma's chosen mahaprasthāna time.","vrata":true,"detection":{"sun_rashi":"Makara"},"precedence":1,"sources":["Mahābhārata Bhīṣma-Stuti","Sūrya-Siddhānta"]},{"id":"pongal","name":"Pongal / Thai Pongal","name_sanskrit":"पोङ्गल","tradition":"Regional","associated_deity":"Sūrya Bhagavān","significance":"Tamil 4-day harvest festival; coincides with Makara Saṅkrānti.","vrata":false,"detection":{"sun_rashi":"Makara"},"precedence":2},{"id":"shattila-ekadashi","name":"Ṣaṭ-tilā Ekādaśī","name_sanskrit":"षट्तिला एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Six uses of tila (sesame) on this Ekādaśī confer mokṣa.","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","lunar_month":"Māgha"},"precedence":4},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"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 16, 2034 CE · Mathurā · Vidhyamitra","description":"January 16, 2034 CE for Mathurā: Kṛṣṇa Ekādaśī, sūryodaya 07:11, sūryāsta 17:47.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2034-01-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2034-01-16","sa":"https://sa.vidhyamitra.com/city/mathura/2034-01-16","hi":"https://hi.vidhyamitra.com/city/mathura/2034-01-16","x-default":"https://vidhyamitra.com/city/mathura/2034-01-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:41:20.972Z","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":"2026-05-14T14:41:20.972Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:41:20.972Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}