{"id":"vidhyamitra:city-day:mathura:2045-01-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2045-01-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-01-18","date_display":"January 18, 2045 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":2045,"month":1,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2467998.770833,"kali_year":5146,"ahargana":1879533.2708,"sun":{"sidereal_longitude":273.6606,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":272.8473,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":359.1867,"elapsed_within_tithi_degrees":11.1867},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2,"moon_longitude":272.8473,"elapsed_within_degrees":6.1806},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":186.5079},"karana":{"half_tithi_index":59,"name":"Nāga"},"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":2045,"month":1,"day":18,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2467998.770833,"ahargana":1879533.2708,"kali_year":5146,"ayanamsa_lahiri":24.4823,"grahas":{"sun":{"sidereal_longitude":273.85485500000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":272.304255,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false,"latitude":-2.9169},"mars":{"sidereal_longitude":296.88065500000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":262.237355,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":289.979155,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"venus":{"sidereal_longitude":258.68635500000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":223.39195500000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":313.2824,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":133.2824,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":2045,"month":1,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2467998.770833,"kali_year":5146,"ahargana":1879533.2708,"sun":{"sidereal_longitude":273.6606,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":272.8473,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":359.1867,"elapsed_within_tithi_degrees":11.1867},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2,"moon_longitude":272.8473,"elapsed_within_degrees":6.1806},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":186.5079},"karana":{"half_tithi_index":59,"name":"Nāga"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.917,"elongation":0.813},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.917,"opposition_distance":179.187}},"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":"17:49","solarNoonLocal":"12:30","dayLengthHours":10.640755499487433,"dayLengthDisplay":"10 Hours 38 Mins 27 Secs","nightLengthDisplay":"13 Hours 21 Mins 33 Secs","moonriseLocal":"07:06","moonsetLocal":"17:41","rahuKala":{"name":"Rāhu Kāla","start":"12:30","end":"13:49","startHours":12.494240493028162,"endHours":13.82433493046409,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:30","end":"09:50","startHours":8.503957180720374,"endHours":9.834051618156304,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:10","end":"12:30","startHours":11.164146055592234,"endHours":12.494240493028162,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:01","startHours":9.656705693164845,"endHours":10.01139754314776,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:54","startHours":7.617227555763089,"endHours":7.90098103574942,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:08","end":"12:51","startHours":12.139548643045247,"endHours":12.848932343011077,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:45","end":"06:28","startHours":5.755095343352788,"endHours":6.464479043318616,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:17","end":"07:10","startHours":6.2871331183271595,"endHours":7.173862743284445,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:16","end":"14:59","startHours":14.267699742942733,"endHours":14.977083442908562,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:37","end":"18:01","startHours":17.61461824277188,"endHours":18.014618242771878,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:49","end":"18:15","startHours":17.81461824277188,"endHours":18.25798305525052,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:34","end":"19:19","startHours":17.56461824277188,"endHours":19.31461824277188,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:08","end":"00:51","startHours":24.13954864304525,"endHours":24.848932343011075,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:10","end":"08:30","startHours":7.173862743284445,"endHours":8.503957180720374,"quality":"auspicious"},{"name":"Amṛta","start":"08:30","end":"09:50","startHours":8.503957180720374,"endHours":9.834051618156304,"quality":"auspicious"},{"name":"Kāla","start":"09:50","end":"11:10","startHours":9.834051618156304,"endHours":11.164146055592234,"quality":"inauspicious"},{"name":"Śubha","start":"11:10","end":"12:30","startHours":11.164146055592234,"endHours":12.494240493028162,"quality":"auspicious"},{"name":"Roga","start":"12:30","end":"13:49","startHours":12.494240493028162,"endHours":13.82433493046409,"quality":"inauspicious"},{"name":"Udveg","start":"13:49","end":"15:09","startHours":13.82433493046409,"endHours":15.15442936790002,"quality":"inauspicious"},{"name":"Chala","start":"15:09","end":"16:29","startHours":15.15442936790002,"endHours":16.48452380533595,"quality":"neutral"},{"name":"Labha","start":"16:29","end":"17:49","startHours":16.48452380533595,"endHours":17.81461824277188,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:49","end":"19:29","startHours":17.81461824277188,"endHours":19.48452380533595,"quality":"inauspicious"},{"name":"Chala","start":"19:29","end":"21:09","startHours":19.48452380533595,"endHours":21.154429367900022,"quality":"neutral"},{"name":"Labha","start":"21:09","end":"22:49","startHours":21.154429367900022,"endHours":22.82433493046409,"quality":"auspicious"},{"name":"Amṛta","start":"22:49","end":"00:30","startHours":22.82433493046409,"endHours":24.494240493028162,"quality":"auspicious"},{"name":"Kāla","start":"00:30","end":"02:10","startHours":24.494240493028162,"endHours":26.164146055592234,"quality":"inauspicious"},{"name":"Śubha","start":"02:10","end":"03:50","startHours":26.164146055592234,"endHours":27.834051618156302,"quality":"auspicious"},{"name":"Roga","start":"03:50","end":"05:30","startHours":27.834051618156302,"endHours":29.503957180720374,"quality":"inauspicious"},{"name":"Udveg","start":"05:30","end":"07:10","startHours":29.503957180720374,"endHours":31.173862743284445,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:10","end":"08:10","startHours":7.173862743284445,"endHours":8.173862743284445,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:10","end":"09:10","startHours":8.173862743284445,"endHours":9.173862743284445,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:10","end":"10:10","startHours":9.173862743284445,"endHours":10.173862743284445,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:10","end":"11:10","startHours":10.173862743284445,"endHours":11.173862743284445,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:10","end":"12:10","startHours":11.173862743284445,"endHours":12.173862743284445,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:10","end":"13:10","startHours":12.173862743284445,"endHours":13.173862743284445,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:10","end":"14:10","startHours":13.173862743284445,"endHours":14.173862743284445,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:10","end":"15:10","startHours":14.173862743284445,"endHours":15.173862743284445,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:10","end":"16:10","startHours":15.173862743284445,"endHours":16.173862743284445,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:10","end":"17:10","startHours":16.173862743284445,"endHours":17.173862743284445,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:10","end":"18:10","startHours":17.173862743284445,"endHours":18.173862743284445,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:10","end":"19:10","startHours":18.173862743284445,"endHours":19.173862743284445,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:10","end":"20:10","startHours":19.173862743284445,"endHours":20.173862743284445,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:10","end":"21:10","startHours":20.173862743284445,"endHours":21.173862743284445,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:10","end":"22:10","startHours":21.173862743284445,"endHours":22.173862743284445,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:10","end":"23:10","startHours":22.173862743284445,"endHours":23.173862743284445,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:10","end":"00:10","startHours":23.173862743284445,"endHours":24.173862743284445,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:10","end":"01:10","startHours":24.173862743284445,"endHours":25.173862743284445,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:10","end":"02:10","startHours":25.173862743284445,"endHours":26.173862743284445,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:10","end":"03:10","startHours":26.173862743284445,"endHours":27.173862743284445,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:10","end":"04:10","startHours":27.173862743284445,"endHours":28.173862743284445,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:10","end":"05:10","startHours":28.173862743284445,"endHours":29.173862743284445,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:10","end":"06:10","startHours":29.173862743284445,"endHours":30.173862743284445,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:10","end":"07:10","startHours":30.173862743284445,"endHours":31.173862743284445,"planetary_lord":"Sun"}],"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":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"South-West","anandadiYoga":{"name":"Saumya","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":-20.491723555304386,"eotMinutes":-10.349229581689698,"ayanamsa":24.4823}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Amāvasyā · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"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}],"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":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Kṛṣṇa Amāvasyā","url":"/day/-3137-10-20","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 18, 2045 CE · Mathurā · Vidhyamitra","description":"January 18, 2045 CE for Mathurā: Kṛṣṇa Amāvasyā, sūryodaya 07:10, sūryāsta 17:49.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2045-01-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2045-01-18","sa":"https://sa.vidhyamitra.com/city/mathura/2045-01-18","hi":"https://hi.vidhyamitra.com/city/mathura/2045-01-18","x-default":"https://vidhyamitra.com/city/mathura/2045-01-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T12:13:46.485Z","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":"2026-05-14T12:13:46.485Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T12:13:46.485Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}