{"id":"vidhyamitra:city-day:mathura:2129-01-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2129-01-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2129-01-01","date_display":"January 1, 2129 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":2129,"month":1,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2498661.770833,"kali_year":5230,"ahargana":1910196.2708,"sun":{"sidereal_longitude":254.4081,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":22.265,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":127.8569,"elapsed_within_tithi_degrees":7.8569},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":22.265,"elapsed_within_degrees":8.9317},"yoga":{"number":21,"name":"Siddha","sum_longitude":276.6732},"karana":{"half_tithi_index":21,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2129,"month":1,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2498661.770833,"ahargana":1910196.2708,"kali_year":5230,"ayanamsa_lahiri":25.655,"grahas":{"sun":{"sidereal_longitude":254.96270300000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":24.794303000000014,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false,"latitude":-4.3178},"mars":{"sidereal_longitude":201.34310300000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":241.63800300000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":311.77100300000006,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":298.50120300000003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":174.06890299999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":128.6091,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":308.6091,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","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":2129,"month":1,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2498661.770833,"kali_year":5230,"ahargana":1910196.2708,"sun":{"sidereal_longitude":254.4081,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":22.265,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":127.8569,"elapsed_within_tithi_degrees":7.8569},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":22.265,"elapsed_within_degrees":8.9317},"yoga":{"number":21,"name":"Siddha","sum_longitude":276.6732},"karana":{"half_tithi_index":21,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.318,"elongation":127.857},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.318,"opposition_distance":52.143}},"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":"17:36","solarNoonLocal":"12:23","dayLengthHours":10.436638887698319,"dayLengthDisplay":"10 Hours 26 Mins 12 Secs","nightLengthDisplay":"13 Hours 33 Mins 48 Secs","moonriseLocal":"14:21","moonsetLocal":"03:44","rahuKala":{"name":"Rāhu Kāla","start":"09:46","end":"11:05","startHours":9.774346583465356,"endHours":11.078926444427646,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:41","end":"15:00","startHours":13.688086166352225,"endHours":14.992666027314515,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:10","end":"08:28","startHours":7.165186861540776,"endHours":8.469766722503065,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:36","end":"09:57","startHours":9.600402602003717,"endHours":9.948290564926994,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:36","end":"07:53","startHours":7.600046815194872,"endHours":7.878357185533494,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:02","end":"12:44","startHours":12.035618342466657,"endHours":12.731394268313212,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:46","end":"06:28","startHours":5.773635009847666,"endHours":6.4694109356942215,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:10","startHours":6.295466954232583,"endHours":7.165186861540776,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:07","end":"14:49","startHours":14.122946120006322,"endHours":14.818722045852876,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:24","end":"17:48","startHours":17.401825749239094,"endHours":17.801825749239093,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:36","end":"18:02","startHours":17.601825749239094,"endHours":18.03668570289319,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:21","end":"19:06","startHours":17.351825749239094,"endHours":19.101825749239094,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:02","end":"00:44","startHours":24.03561834246666,"endHours":24.731394268313213,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:10","end":"08:28","startHours":7.165186861540776,"endHours":8.469766722503065,"quality":"inauspicious"},{"name":"Śubha","start":"08:28","end":"09:46","startHours":8.469766722503065,"endHours":9.774346583465356,"quality":"auspicious"},{"name":"Roga","start":"09:46","end":"11:05","startHours":9.774346583465356,"endHours":11.078926444427646,"quality":"inauspicious"},{"name":"Udveg","start":"11:05","end":"12:23","startHours":11.078926444427646,"endHours":12.383506305389936,"quality":"inauspicious"},{"name":"Chala","start":"12:23","end":"13:41","startHours":12.383506305389936,"endHours":13.688086166352225,"quality":"neutral"},{"name":"Labha","start":"13:41","end":"15:00","startHours":13.688086166352225,"endHours":14.992666027314515,"quality":"auspicious"},{"name":"Amṛta","start":"15:00","end":"16:18","startHours":14.992666027314515,"endHours":16.297245888276805,"quality":"auspicious"},{"name":"Kāla","start":"16:18","end":"17:36","startHours":16.297245888276805,"endHours":17.601825749239094,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:36","end":"19:18","startHours":17.601825749239094,"endHours":19.297245888276805,"quality":"auspicious"},{"name":"Amṛta","start":"19:18","end":"21:00","startHours":19.297245888276805,"endHours":20.992666027314513,"quality":"auspicious"},{"name":"Kāla","start":"21:00","end":"22:41","startHours":20.992666027314513,"endHours":22.688086166352225,"quality":"inauspicious"},{"name":"Śubha","start":"22:41","end":"00:23","startHours":22.688086166352225,"endHours":24.383506305389936,"quality":"auspicious"},{"name":"Roga","start":"00:23","end":"02:05","startHours":24.383506305389936,"endHours":26.078926444427644,"quality":"inauspicious"},{"name":"Udveg","start":"02:05","end":"03:46","startHours":26.078926444427644,"endHours":27.774346583465356,"quality":"inauspicious"},{"name":"Chala","start":"03:46","end":"05:28","startHours":27.774346583465356,"endHours":29.469766722503067,"quality":"neutral"},{"name":"Labha","start":"05:28","end":"07:10","startHours":29.469766722503067,"endHours":31.165186861540775,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:10","end":"08:10","startHours":7.165186861540776,"endHours":8.165186861540775,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:10","end":"09:10","startHours":8.165186861540775,"endHours":9.165186861540775,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:10","end":"10:10","startHours":9.165186861540775,"endHours":10.165186861540775,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:10","end":"11:10","startHours":10.165186861540775,"endHours":11.165186861540775,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:10","end":"12:10","startHours":11.165186861540775,"endHours":12.165186861540775,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:10","end":"13:10","startHours":12.165186861540775,"endHours":13.165186861540775,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:10","end":"14:10","startHours":13.165186861540775,"endHours":14.165186861540775,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:10","end":"15:10","startHours":14.165186861540775,"endHours":15.165186861540775,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:10","end":"16:10","startHours":15.165186861540775,"endHours":16.165186861540775,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:10","end":"17:10","startHours":16.165186861540775,"endHours":17.165186861540775,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:10","end":"18:10","startHours":17.165186861540775,"endHours":18.165186861540775,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:10","end":"19:10","startHours":18.165186861540775,"endHours":19.165186861540775,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:10","end":"20:10","startHours":19.165186861540775,"endHours":20.165186861540775,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:10","end":"21:10","startHours":20.165186861540775,"endHours":21.165186861540775,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:10","end":"22:10","startHours":21.165186861540775,"endHours":22.165186861540775,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:10","end":"23:10","startHours":22.165186861540775,"endHours":23.165186861540775,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:10","end":"00:10","startHours":23.165186861540775,"endHours":24.165186861540775,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:10","end":"01:10","startHours":24.165186861540775,"endHours":25.165186861540775,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:10","end":"02:10","startHours":25.165186861540775,"endHours":26.165186861540775,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:10","end":"03:10","startHours":26.165186861540775,"endHours":27.165186861540775,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:10","end":"04:10","startHours":27.165186861540775,"endHours":28.165186861540775,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:10","end":"05:10","startHours":28.165186861540775,"endHours":29.165186861540775,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:10","end":"06:10","startHours":29.165186861540775,"endHours":30.165186861540775,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:10","end":"07:10","startHours":30.165186861540775,"endHours":31.165186861540775,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"East","anandadiYoga":{"name":"Cara","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.011922885778947,"eotMinutes":-3.705178323396069,"ayanamsa":25.655}},"calendars":{"vikram_samvat":2186,"vikram_samvatsara":"Śubhakṛt","saka_samvat":2051,"saka_samvatsara":"Virodhi","bengali_samvat":1536,"malayalam_era":1305,"nanakshahi_year":660,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Ekādaśī · Vikram 2186 Śubhakṛt · Śaka 2051 Virodhi"},"festivals":[{"id":"putrada-ekadashi","name":"Pauṣa Putradā Ekādaśī","name_sanskrit":"पौष पुत्रदा एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Ekādaśī granting putra-prāpti.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Pauṣa"},"precedence":4},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 1, 2129 CE · Mathurā · Vidhyamitra","description":"January 1, 2129 CE for Mathurā: Śukla Ekādaśī, sūryodaya 07:10, sūryāsta 17:36.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2129-01-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2129-01-01","sa":"https://sa.vidhyamitra.com/city/mathura/2129-01-01","hi":"https://hi.vidhyamitra.com/city/mathura/2129-01-01","x-default":"https://vidhyamitra.com/city/mathura/2129-01-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T20:29:17.848Z","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":"2026-05-31T20:29:17.848Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T20:29:17.848Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}