{"id":"vidhyamitra:city-day:mathura:2083-01-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2083-01-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2083-01-18","date_display":"January 18, 2083 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":2083,"month":1,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2481877.770833,"kali_year":5184,"ahargana":1893412.2708,"sun":{"sidereal_longitude":272.8059,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":272.8545,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":0.0486,"elapsed_within_tithi_degrees":0.0486},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2,"moon_longitude":272.8545,"elapsed_within_degrees":6.1879},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":185.6604},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"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":2083,"month":1,"day":18,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2481877.770833,"ahargana":1893412.2708,"kali_year":5184,"ayanamsa_lahiri":25.0131,"grahas":{"sun":{"sidereal_longitude":273.095675,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":271.4568750000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false,"latitude":-1.9038},"mars":{"sidereal_longitude":355.458075,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":248.214475,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":0.6744749999999726,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":227.48287500000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":311.36677499999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":297.9062,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":117.9062,"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":2083,"month":1,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2481877.770833,"kali_year":5184,"ahargana":1893412.2708,"sun":{"sidereal_longitude":272.8059,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":272.8545,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":0.0486,"elapsed_within_tithi_degrees":0.0486},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2,"moon_longitude":272.8545,"elapsed_within_degrees":6.1879},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":185.6604},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.904,"elongation":0.049},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.904,"opposition_distance":179.951}},"eclipse_window_40days":[{"offset_days":16,"type":"lunar","occurs":true,"moon_latitude":0.434,"opposition_distance":2.325}]},"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":"17:49","solarNoonLocal":"12:30","dayLengthHours":10.63710990738516,"dayLengthDisplay":"10 Hours 38 Mins 14 Secs","nightLengthDisplay":"13 Hours 21 Mins 46 Secs","moonriseLocal":"07:06","moonsetLocal":"17:40","rahuKala":{"name":"Rāhu Kāla","start":"08:30","end":"09:50","startHours":8.505324277758728,"endHours":9.834963016181874,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:10","end":"12:30","startHours":11.164601754605018,"endHours":12.494240493028162,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:49","end":"15:09","startHours":13.823879231451308,"endHours":15.153517969874454,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:01","startHours":9.657677851058786,"endHours":10.012248181304958,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:54","startHours":7.618898452143298,"endHours":7.902554716340235,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:08","end":"12:51","startHours":12.13967016278199,"endHours":12.848810823274334,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:45","end":"06:28","startHours":5.757404218350895,"endHours":6.466544878843239,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:17","end":"07:11","startHours":6.289259713720153,"endHours":7.175685539335583,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:16","end":"14:59","startHours":14.267092144259022,"endHours":14.976232804751366,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:37","end":"18:01","startHours":17.612795446720742,"endHours":18.01279544672074,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:49","end":"18:15","startHours":17.81279544672074,"endHours":18.256008359528458,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:34","end":"19:19","startHours":17.56279544672074,"endHours":19.31279544672074,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:08","end":"00:51","startHours":24.13967016278199,"endHours":24.848810823274334,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:11","end":"08:30","startHours":7.175685539335583,"endHours":8.505324277758728,"quality":"auspicious"},{"name":"Kāla","start":"08:30","end":"09:50","startHours":8.505324277758728,"endHours":9.834963016181874,"quality":"inauspicious"},{"name":"Śubha","start":"09:50","end":"11:10","startHours":9.834963016181874,"endHours":11.164601754605018,"quality":"auspicious"},{"name":"Roga","start":"11:10","end":"12:30","startHours":11.164601754605018,"endHours":12.494240493028162,"quality":"inauspicious"},{"name":"Udveg","start":"12:30","end":"13:49","startHours":12.494240493028162,"endHours":13.823879231451308,"quality":"inauspicious"},{"name":"Chala","start":"13:49","end":"15:09","startHours":13.823879231451308,"endHours":15.153517969874454,"quality":"neutral"},{"name":"Labha","start":"15:09","end":"16:29","startHours":15.153517969874454,"endHours":16.483156708297596,"quality":"auspicious"},{"name":"Amṛta","start":"16:29","end":"17:49","startHours":16.483156708297596,"endHours":17.81279544672074,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:49","end":"19:29","startHours":17.81279544672074,"endHours":19.483156708297596,"quality":"neutral"},{"name":"Labha","start":"19:29","end":"21:09","startHours":19.483156708297596,"endHours":21.15351796987445,"quality":"auspicious"},{"name":"Amṛta","start":"21:09","end":"22:49","startHours":21.15351796987445,"endHours":22.823879231451308,"quality":"auspicious"},{"name":"Kāla","start":"22:49","end":"00:30","startHours":22.823879231451308,"endHours":24.494240493028162,"quality":"inauspicious"},{"name":"Śubha","start":"00:30","end":"02:10","startHours":24.494240493028162,"endHours":26.164601754605016,"quality":"auspicious"},{"name":"Roga","start":"02:10","end":"03:50","startHours":26.164601754605016,"endHours":27.834963016181874,"quality":"inauspicious"},{"name":"Udveg","start":"03:50","end":"05:30","startHours":27.834963016181874,"endHours":29.505324277758728,"quality":"inauspicious"},{"name":"Chala","start":"05:30","end":"07:11","startHours":29.505324277758728,"endHours":31.175685539335582,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.175685539335583,"endHours":8.175685539335582,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.175685539335582,"endHours":9.175685539335582,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.175685539335582,"endHours":10.175685539335582,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.175685539335582,"endHours":11.175685539335582,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.175685539335582,"endHours":12.175685539335582,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.175685539335582,"endHours":13.175685539335582,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.175685539335582,"endHours":14.175685539335582,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.175685539335582,"endHours":15.175685539335582,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.175685539335582,"endHours":16.175685539335582,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.175685539335582,"endHours":17.175685539335582,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.175685539335582,"endHours":18.175685539335582,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.175685539335582,"endHours":19.175685539335582,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.175685539335582,"endHours":20.175685539335582,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.175685539335582,"endHours":21.175685539335582,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.175685539335582,"endHours":22.175685539335582,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.175685539335582,"endHours":23.175685539335582,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.175685539335582,"endHours":24.175685539335582,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.175685539335582,"endHours":25.175685539335582,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.175685539335582,"endHours":26.175685539335582,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.175685539335582,"endHours":27.175685539335582,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.175685539335582,"endHours":28.175685539335582,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.175685539335582,"endHours":29.175685539335582,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.175685539335582,"endHours":30.175685539335582,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.175685539335582,"endHours":31.175685539335582,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Rākṣasa","quality":"Inauspicious"},"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":-20.537587954810302,"eotMinutes":-10.349229581689698,"ayanamsa":25.0131}},"calendars":{"vikram_samvat":2140,"vikram_samvatsara":"Nala","saka_samvat":2005,"saka_samvatsara":"Śobhana","bengali_samvat":1490,"malayalam_era":1259,"nanakshahi_year":614,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Pratipada · Vikram 2140 Nala · Śaka 2005 Śobhana"},"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":"magha-gupta-navratri-start","name":"Māgha Gupta Navrātri Start","name_sanskrit":"माघ गुप्त नवरात्रि आरम्भ","tradition":"Shakta","associated_deity":"Devī (10 Mahāvidyās)","significance":"Hidden (gupta) Navrātri for advanced sādhanā of 10 Mahāvidyās.","vrata":true,"detection":{"tithi_number":1,"tithi_paksha":"Śukla","lunar_month":"Māgha"},"precedence":3}],"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 18, 2083 CE · Mathurā · Vidhyamitra","description":"January 18, 2083 CE for Mathurā: Śukla Pratipada, sūryodaya 07:11, sūryāsta 17:49.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2083-01-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2083-01-18","sa":"https://sa.vidhyamitra.com/city/mathura/2083-01-18","hi":"https://hi.vidhyamitra.com/city/mathura/2083-01-18","x-default":"https://vidhyamitra.com/city/mathura/2083-01-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T13:40:44.333Z","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":"2026-05-14T13:40:44.333Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T13:40:44.333Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}