{"id":"vidhyamitra:city-day:mathura:1918-01-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1918-01-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1918-01-15","date_display":"January 15, 1918 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":1918,"month":1,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2421608.770833,"kali_year":5019,"ahargana":1833143.2708,"sun":{"sidereal_longitude":271.466,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":297.8056,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":26.3396,"elapsed_within_tithi_degrees":2.3396},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":297.8056,"elapsed_within_degrees":4.4723},"yoga":{"number":16,"name":"Siddhi","sum_longitude":209.2716},"karana":{"half_tithi_index":4,"name":"Taitila"},"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":1918,"month":1,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2421608.770833,"ahargana":1833143.2708,"kali_year":5019,"ayanamsa_lahiri":22.7081,"grahas":{"sun":{"sidereal_longitude":271.381794,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":300.04229399999997,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false,"latitude":3.2657},"mars":{"sidereal_longitude":159.20349399999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":251.81049400000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":39.46209399999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":306.368294,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":true},"saturn":{"sidereal_longitude":110.30929400000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":251.2478,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":71.2478,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","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":1918,"month":1,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2421608.770833,"kali_year":5019,"ahargana":1833143.2708,"sun":{"sidereal_longitude":271.466,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":297.8056,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":26.3396,"elapsed_within_tithi_degrees":2.3396},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":297.8056,"elapsed_within_degrees":4.4723},"yoga":{"number":16,"name":"Siddhi","sum_longitude":209.2716},"karana":{"half_tithi_index":4,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.266,"elongation":26.34},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.266,"opposition_distance":153.66}},"eclipse_window_40days":[{"offset_days":-18,"type":"lunar","occurs":true,"moon_latitude":0.156,"opposition_distance":2.753},{"offset_days":-2,"type":"solar","occurs":true,"moon_latitude":1.39,"elongation":0.055}]},"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":"17:46","solarNoonLocal":"12:29","dayLengthHours":10.576934017052714,"dayLengthDisplay":"10 Hours 34 Mins 37 Secs","nightLengthDisplay":"13 Hours 25 Mins 23 Secs","moonriseLocal":"08:50","moonsetLocal":"19:56","rahuKala":{"name":"Rāhu Kāla","start":"15:07","end":"16:27","startHours":15.121819328365397,"endHours":16.44393608049699,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:50","end":"11:09","startHours":9.83335231983904,"endHours":11.15546907197063,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:29","end":"13:48","startHours":12.47758582410222,"endHours":13.799702576233809,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:01","startHours":9.657070086221495,"endHours":10.009634553456586,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:38","end":"07:55","startHours":7.629824399619726,"endHours":7.911875973407798,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:08","end":"12:50","startHours":12.12502135686713,"endHours":12.830150291337311,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.7788609466355005,"endHours":6.483989881105682,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:11","startHours":6.307707647488137,"endHours":7.1891188155758625,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:14","end":"14:57","startHours":14.240408160277672,"endHours":14.945537094747854,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:34","end":"17:58","startHours":17.56605283262858,"endHours":17.966052832628577,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:46","end":"18:12","startHours":17.766052832628578,"endHours":18.20675841667244,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:31","end":"19:16","startHours":17.516052832628578,"endHours":19.266052832628578,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:08","end":"00:50","startHours":24.12502135686713,"endHours":24.83015029133731,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:11","end":"08:31","startHours":7.1891188155758625,"endHours":8.511235567707452,"quality":"inauspicious"},{"name":"Udveg","start":"08:31","end":"09:50","startHours":8.511235567707452,"endHours":9.83335231983904,"quality":"inauspicious"},{"name":"Chala","start":"09:50","end":"11:09","startHours":9.83335231983904,"endHours":11.15546907197063,"quality":"neutral"},{"name":"Labha","start":"11:09","end":"12:29","startHours":11.15546907197063,"endHours":12.47758582410222,"quality":"auspicious"},{"name":"Amṛta","start":"12:29","end":"13:48","startHours":12.47758582410222,"endHours":13.799702576233809,"quality":"auspicious"},{"name":"Kāla","start":"13:48","end":"15:07","startHours":13.799702576233809,"endHours":15.121819328365397,"quality":"inauspicious"},{"name":"Śubha","start":"15:07","end":"16:27","startHours":15.121819328365397,"endHours":16.44393608049699,"quality":"auspicious"},{"name":"Roga","start":"16:27","end":"17:46","startHours":16.44393608049699,"endHours":17.766052832628578,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:46","end":"19:27","startHours":17.766052832628578,"endHours":19.44393608049699,"quality":"inauspicious"},{"name":"Śubha","start":"19:27","end":"21:07","startHours":19.44393608049699,"endHours":21.121819328365397,"quality":"auspicious"},{"name":"Roga","start":"21:07","end":"22:48","startHours":21.121819328365397,"endHours":22.79970257623381,"quality":"inauspicious"},{"name":"Udveg","start":"22:48","end":"00:29","startHours":22.79970257623381,"endHours":24.47758582410222,"quality":"inauspicious"},{"name":"Chala","start":"00:29","end":"02:09","startHours":24.47758582410222,"endHours":26.155469071970632,"quality":"neutral"},{"name":"Labha","start":"02:09","end":"03:50","startHours":26.155469071970632,"endHours":27.833352319839044,"quality":"auspicious"},{"name":"Amṛta","start":"03:50","end":"05:31","startHours":27.833352319839044,"endHours":29.511235567707452,"quality":"auspicious"},{"name":"Kāla","start":"05:31","end":"07:11","startHours":29.511235567707452,"endHours":31.189118815575863,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.1891188155758625,"endHours":8.189118815575863,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.189118815575863,"endHours":9.189118815575863,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.189118815575863,"endHours":10.189118815575863,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.189118815575863,"endHours":11.189118815575863,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.189118815575863,"endHours":12.189118815575863,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.189118815575863,"endHours":13.189118815575863,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.189118815575863,"endHours":14.189118815575863,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.189118815575863,"endHours":15.189118815575863,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.189118815575863,"endHours":16.189118815575863,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.189118815575863,"endHours":17.189118815575863,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.189118815575863,"endHours":18.189118815575863,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.189118815575863,"endHours":19.189118815575863,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.189118815575863,"endHours":20.189118815575863,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.189118815575863,"endHours":21.189118815575863,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.189118815575863,"endHours":22.189118815575863,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.189118815575863,"endHours":23.189118815575863,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.189118815575863,"endHours":24.189118815575863,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.189118815575863,"endHours":25.189118815575863,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.189118815575863,"endHours":26.189118815575863,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.189118815575863,"endHours":27.189118815575863,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.189118815575863,"endHours":28.189118815575863,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.189118815575863,"endHours":29.189118815575863,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.189118815575863,"endHours":30.189118815575863,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.189118815575863,"endHours":31.189118815575863,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Dhūmra","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":-21.29023427722841,"eotMinutes":-9.349949446133257,"ayanamsa":22.7081}},"calendars":{"vikram_samvat":1975,"vikram_samvatsara":"Prajāpati","saka_samvat":1840,"saka_samvatsara":"Kālayukta","bengali_samvat":1325,"malayalam_era":1094,"nanakshahi_year":449,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Tṛtīyā · Vikram 1975 Prajāpati · Śaka 1840 Kālayukta"},"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":"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 January 15, 1918 CE · Mathurā · Vidhyamitra","description":"January 15, 1918 CE for Mathurā: Śukla Tṛtīyā, sūryodaya 07:11, sūryāsta 17:46.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1918-01-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1918-01-15","sa":"https://sa.vidhyamitra.com/city/mathura/1918-01-15","hi":"https://hi.vidhyamitra.com/city/mathura/1918-01-15","x-default":"https://vidhyamitra.com/city/mathura/1918-01-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:58:46.813Z","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":"2026-05-14T14:58:46.813Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:58:46.813Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}