{"id":"vidhyamitra:city-day:mathura:2100-01-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2100-01-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2100-01-13","date_display":"January 13, 2100 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":2100,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488081.770833,"kali_year":5201,"ahargana":1899616.2708,"sun":{"sidereal_longitude":267.2614,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":299.0675,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":31.8061,"elapsed_within_tithi_degrees":7.8061},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":299.0675,"elapsed_within_degrees":5.7342},"yoga":{"number":16,"name":"Siddhi","sum_longitude":206.3289},"karana":{"half_tithi_index":5,"name":"Gara"},"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":2100,"month":1,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2488081.770833,"ahargana":1899616.2708,"kali_year":5201,"ayanamsa_lahiri":25.2504,"grahas":{"sun":{"sidereal_longitude":267.636837,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":297.289537,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false,"latitude":-2.2565},"mars":{"sidereal_longitude":8.088337000000024,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":280.987437,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":175.730637,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":307.801637,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":179.71803699999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":329.1884,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":149.1884,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"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":2100,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488081.770833,"kali_year":5201,"ahargana":1899616.2708,"sun":{"sidereal_longitude":267.2614,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":299.0675,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":31.8061,"elapsed_within_tithi_degrees":7.8061},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":299.0675,"elapsed_within_degrees":5.7342},"yoga":{"number":16,"name":"Siddhi","sum_longitude":206.3289},"karana":{"half_tithi_index":5,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.256,"elongation":31.806},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.256,"opposition_distance":148.194}},"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":"17:45","solarNoonLocal":"12:28","dayLengthHours":10.560446407038036,"dayLengthDisplay":"10 Hours 33 Mins 38 Secs","nightLengthDisplay":"13 Hours 26 Mins 22 Secs","moonriseLocal":"08:54","moonsetLocal":"19:59","rahuKala":{"name":"Rāhu Kāla","start":"12:28","end":"13:47","startHours":12.465685524856227,"endHours":13.785741325735982,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:30","end":"09:50","startHours":8.505518122216964,"endHours":9.82557392309672,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:09","end":"12:28","startHours":11.145629723976473,"endHours":12.465685524856227,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:00","startHours":9.649566482979418,"endHours":10.001581363214019,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:38","end":"07:54","startHours":7.625480921630461,"endHours":7.907092825818142,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:49","startHours":12.113670644621626,"endHours":12.817700405090827,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.7774028003988045,"endHours":6.481432560868007,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:11","startHours":6.305425120750707,"endHours":7.1854623213372095,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:14","end":"14:56","startHours":14.225759926029234,"endHours":14.929789686498436,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:33","end":"17:57","startHours":17.545908728375245,"endHours":17.945908728375244,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:45","end":"18:11","startHours":17.745908728375245,"endHours":18.185927328668495,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:30","end":"19:15","startHours":17.495908728375245,"endHours":19.245908728375245,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:49","startHours":24.113670644621624,"endHours":24.81770040509083,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:11","end":"08:30","startHours":7.1854623213372095,"endHours":8.505518122216964,"quality":"auspicious"},{"name":"Amṛta","start":"08:30","end":"09:50","startHours":8.505518122216964,"endHours":9.82557392309672,"quality":"auspicious"},{"name":"Kāla","start":"09:50","end":"11:09","startHours":9.82557392309672,"endHours":11.145629723976473,"quality":"inauspicious"},{"name":"Śubha","start":"11:09","end":"12:28","startHours":11.145629723976473,"endHours":12.465685524856227,"quality":"auspicious"},{"name":"Roga","start":"12:28","end":"13:47","startHours":12.465685524856227,"endHours":13.785741325735982,"quality":"inauspicious"},{"name":"Udveg","start":"13:47","end":"15:06","startHours":13.785741325735982,"endHours":15.105797126615737,"quality":"inauspicious"},{"name":"Chala","start":"15:06","end":"16:26","startHours":15.105797126615737,"endHours":16.42585292749549,"quality":"neutral"},{"name":"Labha","start":"16:26","end":"17:45","startHours":16.42585292749549,"endHours":17.745908728375245,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:45","end":"19:26","startHours":17.745908728375245,"endHours":19.42585292749549,"quality":"inauspicious"},{"name":"Chala","start":"19:26","end":"21:06","startHours":19.42585292749549,"endHours":21.105797126615734,"quality":"neutral"},{"name":"Labha","start":"21:06","end":"22:47","startHours":21.105797126615734,"endHours":22.78574132573598,"quality":"auspicious"},{"name":"Amṛta","start":"22:47","end":"00:28","startHours":22.78574132573598,"endHours":24.465685524856227,"quality":"auspicious"},{"name":"Kāla","start":"00:28","end":"02:09","startHours":24.465685524856227,"endHours":26.145629723976473,"quality":"inauspicious"},{"name":"Śubha","start":"02:09","end":"03:50","startHours":26.145629723976473,"endHours":27.82557392309672,"quality":"auspicious"},{"name":"Roga","start":"03:50","end":"05:30","startHours":27.82557392309672,"endHours":29.505518122216962,"quality":"inauspicious"},{"name":"Udveg","start":"05:30","end":"07:11","startHours":29.505518122216962,"endHours":31.18546232133721,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.1854623213372095,"endHours":8.185462321337209,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.185462321337209,"endHours":9.185462321337209,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.185462321337209,"endHours":10.185462321337209,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.185462321337209,"endHours":11.185462321337209,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.185462321337209,"endHours":12.185462321337209,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.185462321337209,"endHours":13.185462321337209,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.185462321337209,"endHours":14.185462321337209,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.185462321337209,"endHours":15.185462321337209,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.185462321337209,"endHours":16.18546232133721,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.18546232133721,"endHours":17.18546232133721,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.18546232133721,"endHours":18.18546232133721,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.18546232133721,"endHours":19.18546232133721,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.18546232133721,"endHours":20.18546232133721,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.18546232133721,"endHours":21.18546232133721,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.18546232133721,"endHours":22.18546232133721,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.18546232133721,"endHours":23.18546232133721,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.18546232133721,"endHours":24.18546232133721,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.18546232133721,"endHours":25.18546232133721,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.18546232133721,"endHours":26.18546232133721,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.18546232133721,"endHours":27.18546232133721,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.18546232133721,"endHours":28.18546232133721,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.18546232133721,"endHours":29.18546232133721,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.18546232133721,"endHours":30.18546232133721,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.18546232133721,"endHours":31.18546232133721,"planetary_lord":"Sun"}],"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":["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":"Dhvaja","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":-21.494986068641964,"eotMinutes":-8.635931491373626,"ayanamsa":25.2504}},"calendars":{"vikram_samvat":2157,"vikram_samvatsara":"Śrīmukha","saka_samvat":2022,"saka_samvatsara":"Raudra","bengali_samvat":1507,"malayalam_era":1276,"nanakshahi_year":631,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Tṛtīyā · Vikram 2157 Śrīmukha · Śaka 2022 Raudra"},"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":[]},"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 13, 2100 CE · Mathurā · Vidhyamitra","description":"January 13, 2100 CE for Mathurā: Śukla Tṛtīyā, sūryodaya 07:11, sūryāsta 17:45.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2100-01-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2100-01-13","sa":"https://sa.vidhyamitra.com/city/mathura/2100-01-13","hi":"https://hi.vidhyamitra.com/city/mathura/2100-01-13","x-default":"https://vidhyamitra.com/city/mathura/2100-01-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:50:34.610Z","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":"2026-05-14T14:50:34.610Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:50:34.610Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}