{"id":"vidhyamitra:city-day:mathura:2101-01-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2101-01-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2101-01-03","date_display":"January 3, 2101 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":2101,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488436.770833,"kali_year":5202,"ahargana":1899971.2708,"sun":{"sidereal_longitude":256.7164,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":296.5215,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":39.8051,"elapsed_within_tithi_degrees":3.8051},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1,"moon_longitude":296.5215,"elapsed_within_degrees":3.1882},"yoga":{"number":15,"name":"Vajra","sum_longitude":193.238},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"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":2101,"month":1,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2488436.770833,"ahargana":1899971.2708,"kali_year":5202,"ayanamsa_lahiri":25.264,"grahas":{"sun":{"sidereal_longitude":257.184673,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":297.207273,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false,"latitude":-1.0767},"mars":{"sidereal_longitude":228.78087300000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":274.4867730000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":201.093573,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":241.7222730000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":190.54587300000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":310.3788,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":130.3788,"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":2101,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488436.770833,"kali_year":5202,"ahargana":1899971.2708,"sun":{"sidereal_longitude":256.7164,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":296.5215,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":39.8051,"elapsed_within_tithi_degrees":3.8051},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1,"moon_longitude":296.5215,"elapsed_within_degrees":3.1882},"yoga":{"number":15,"name":"Vajra","sum_longitude":193.238},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.077,"elongation":39.805},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.077,"opposition_distance":140.195}},"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":"17:37","solarNoonLocal":"12:24","dayLengthHours":10.44968295393037,"dayLengthDisplay":"10 Hours 26 Mins 59 Secs","nightLengthDisplay":"13 Hours 33 Mins 01 Secs","moonriseLocal":"09:31","moonsetLocal":"20:37","rahuKala":{"name":"Rāhu Kāla","start":"08:29","end":"09:47","startHours":8.479612572787081,"endHours":9.785822942028378,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:06","end":"12:24","startHours":11.092033311269674,"endHours":12.39824368051097,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:42","end":"15:01","startHours":13.704454049752266,"endHours":15.010664418993564,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:37","end":"09:58","startHours":9.61166155946287,"endHours":9.959984324593883,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:53","startHours":7.60880565995955,"endHours":7.887463872064361,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:45","startHours":12.049920915379957,"endHours":12.746566445641982,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.780111143021736,"endHours":6.47675667328376,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:10","startHours":6.302595290718254,"endHours":7.173402203545785,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:08","end":"14:50","startHours":14.139857506166031,"endHours":14.836503036428056,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:25","end":"17:49","startHours":17.423085157476155,"endHours":17.823085157476154,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:37","end":"18:04","startHours":17.623085157476154,"endHours":18.05848861388992,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:22","end":"19:07","startHours":17.373085157476154,"endHours":19.123085157476154,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:45","startHours":24.049920915379957,"endHours":24.74656644564198,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:10","end":"08:29","startHours":7.173402203545785,"endHours":8.479612572787081,"quality":"auspicious"},{"name":"Kāla","start":"08:29","end":"09:47","startHours":8.479612572787081,"endHours":9.785822942028378,"quality":"inauspicious"},{"name":"Śubha","start":"09:47","end":"11:06","startHours":9.785822942028378,"endHours":11.092033311269674,"quality":"auspicious"},{"name":"Roga","start":"11:06","end":"12:24","startHours":11.092033311269674,"endHours":12.39824368051097,"quality":"inauspicious"},{"name":"Udveg","start":"12:24","end":"13:42","startHours":12.39824368051097,"endHours":13.704454049752266,"quality":"inauspicious"},{"name":"Chala","start":"13:42","end":"15:01","startHours":13.704454049752266,"endHours":15.010664418993564,"quality":"neutral"},{"name":"Labha","start":"15:01","end":"16:19","startHours":15.010664418993564,"endHours":16.31687478823486,"quality":"auspicious"},{"name":"Amṛta","start":"16:19","end":"17:37","startHours":16.31687478823486,"endHours":17.623085157476154,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:37","end":"19:19","startHours":17.623085157476154,"endHours":19.31687478823486,"quality":"neutral"},{"name":"Labha","start":"19:19","end":"21:01","startHours":19.31687478823486,"endHours":21.010664418993564,"quality":"auspicious"},{"name":"Amṛta","start":"21:01","end":"22:42","startHours":21.010664418993564,"endHours":22.704454049752265,"quality":"auspicious"},{"name":"Kāla","start":"22:42","end":"00:24","startHours":22.704454049752265,"endHours":24.39824368051097,"quality":"inauspicious"},{"name":"Śubha","start":"00:24","end":"02:06","startHours":24.39824368051097,"endHours":26.092033311269674,"quality":"auspicious"},{"name":"Roga","start":"02:06","end":"03:47","startHours":26.092033311269674,"endHours":27.785822942028375,"quality":"inauspicious"},{"name":"Udveg","start":"03:47","end":"05:29","startHours":27.785822942028375,"endHours":29.47961257278708,"quality":"inauspicious"},{"name":"Chala","start":"05:29","end":"07:10","startHours":29.47961257278708,"endHours":31.173402203545784,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:10","end":"08:10","startHours":7.173402203545785,"endHours":8.173402203545784,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:10","end":"09:10","startHours":8.173402203545784,"endHours":9.173402203545784,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:10","end":"10:10","startHours":9.173402203545784,"endHours":10.173402203545784,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:10","end":"11:10","startHours":10.173402203545784,"endHours":11.173402203545784,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:10","end":"12:10","startHours":11.173402203545784,"endHours":12.173402203545784,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:10","end":"13:10","startHours":12.173402203545784,"endHours":13.173402203545784,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:10","end":"14:10","startHours":13.173402203545784,"endHours":14.173402203545784,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:10","end":"15:10","startHours":14.173402203545784,"endHours":15.173402203545784,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:10","end":"16:10","startHours":15.173402203545784,"endHours":16.173402203545784,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:10","end":"17:10","startHours":16.173402203545784,"endHours":17.173402203545784,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:10","end":"18:10","startHours":17.173402203545784,"endHours":18.173402203545784,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:10","end":"19:10","startHours":18.173402203545784,"endHours":19.173402203545784,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:10","end":"20:10","startHours":19.173402203545784,"endHours":20.173402203545784,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:10","end":"21:10","startHours":20.173402203545784,"endHours":21.173402203545784,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:10","end":"22:10","startHours":21.173402203545784,"endHours":22.173402203545784,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:10","end":"23:10","startHours":22.173402203545784,"endHours":23.173402203545784,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:10","end":"00:10","startHours":23.173402203545784,"endHours":24.173402203545784,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:10","end":"01:10","startHours":24.173402203545784,"endHours":25.173402203545784,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:10","end":"02:10","startHours":25.173402203545784,"endHours":26.173402203545784,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:10","end":"03:10","startHours":26.173402203545784,"endHours":27.173402203545784,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:10","end":"04:10","startHours":27.173402203545784,"endHours":28.173402203545784,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:10","end":"05:10","startHours":28.173402203545784,"endHours":29.173402203545784,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:10","end":"06:10","startHours":29.173402203545784,"endHours":30.173402203545784,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:10","end":"07:10","startHours":30.173402203545784,"endHours":31.173402203545784,"planetary_lord":"Venus"}],"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":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Sushira","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":-22.853833696762173,"eotMinutes":-4.589420830658165,"ayanamsa":25.264}},"calendars":{"vikram_samvat":2158,"vikram_samvatsara":"Bhāva","saka_samvat":2023,"saka_samvatsara":"Durmati","bengali_samvat":1508,"malayalam_era":1277,"nanakshahi_year":632,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Caturthī · Vikram 2158 Bhāva · Śaka 2023 Durmati"},"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},{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"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 3, 2101 CE · Mathurā · Vidhyamitra","description":"January 3, 2101 CE for Mathurā: Śukla Caturthī, sūryodaya 07:10, sūryāsta 17:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2101-01-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2101-01-03","sa":"https://sa.vidhyamitra.com/city/mathura/2101-01-03","hi":"https://hi.vidhyamitra.com/city/mathura/2101-01-03","x-default":"https://vidhyamitra.com/city/mathura/2101-01-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T15:48:23.248Z","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":"2026-05-14T15:48:23.248Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T15:48:23.248Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}