{"id":"vidhyamitra:city-day:mathura:2100-01-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2100-01-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2100-01-29","date_display":"January 29, 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":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488097.770833,"kali_year":5201,"ahargana":1899632.2708,"sun":{"sidereal_longitude":283.6728,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":140.2497,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":216.577,"elapsed_within_tithi_degrees":0.577},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3,"moon_longitude":140.2497,"elapsed_within_degrees":6.9164},"yoga":{"number":5,"name":"Śobhana","sum_longitude":63.9225},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2488097.770833,"ahargana":1899632.2708,"kali_year":5201,"ayanamsa_lahiri":25.251,"grahas":{"sun":{"sidereal_longitude":283.91972599999997,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"moon":{"sidereal_longitude":142.79242599999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false,"latitude":0.6327},"mars":{"sidereal_longitude":15.936726000000021,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":299.229826,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":176.56422599999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":326.4931260000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":180.10422599999993,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":328.3406,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":148.3406,"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":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488097.770833,"kali_year":5201,"ahargana":1899632.2708,"sun":{"sidereal_longitude":283.6728,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":140.2497,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":216.577,"elapsed_within_tithi_degrees":0.577},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3,"moon_longitude":140.2497,"elapsed_within_degrees":6.9164},"yoga":{"number":5,"name":"Śobhana","sum_longitude":63.9225},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.633,"elongation":143.423},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.633,"opposition_distance":36.577}},"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":"07:07","sunsetLocal":"17:58","solarNoonLocal":"12:32","dayLengthHours":10.838496051725727,"dayLengthDisplay":"10 Hours 50 Mins 19 Secs","nightLengthDisplay":"13 Hours 09 Mins 41 Secs","moonriseLocal":"20:55","moonsetLocal":"09:20","rahuKala":{"name":"Rāhu Kāla","start":"11:11","end":"12:32","startHours":11.186476693079523,"endHours":12.541288699545238,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:15","end":"16:36","startHours":15.25091271247667,"endHours":16.605724718942387,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:29","end":"09:50","startHours":8.476852680148092,"endHours":9.831664686613806,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:01","startHours":9.65102308575171,"endHours":10.012306287475901,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:34","end":"07:52","startHours":7.573644675837613,"endHours":7.862671237216966,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:11","end":"12:54","startHours":12.180005497821046,"endHours":12.902571901269429,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:41","end":"06:24","startHours":5.676907866785611,"endHours":6.399474270233993,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:13","end":"07:07","startHours":6.218832669371897,"endHours":7.122040673682375,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:21","end":"15:04","startHours":14.347704708166193,"endHours":15.070271111614574,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:46","end":"18:10","startHours":17.7605367254081,"endHours":18.1605367254081,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:58","end":"18:25","startHours":17.9605367254081,"endHours":18.41214072756334,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:43","end":"19:28","startHours":17.7105367254081,"endHours":19.4605367254081,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:11","end":"00:54","startHours":24.180005497821046,"endHours":24.90257190126943,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"07:07","end":"08:29","startHours":7.122040673682375,"endHours":8.476852680148092,"quality":"neutral"},{"name":"Labha","start":"08:29","end":"09:50","startHours":8.476852680148092,"endHours":9.831664686613806,"quality":"auspicious"},{"name":"Amṛta","start":"09:50","end":"11:11","startHours":9.831664686613806,"endHours":11.186476693079523,"quality":"auspicious"},{"name":"Kāla","start":"11:11","end":"12:32","startHours":11.186476693079523,"endHours":12.541288699545238,"quality":"inauspicious"},{"name":"Śubha","start":"12:32","end":"13:54","startHours":12.541288699545238,"endHours":13.896100706010955,"quality":"auspicious"},{"name":"Roga","start":"13:54","end":"15:15","startHours":13.896100706010955,"endHours":15.25091271247667,"quality":"inauspicious"},{"name":"Udveg","start":"15:15","end":"16:36","startHours":15.25091271247667,"endHours":16.605724718942387,"quality":"inauspicious"},{"name":"Chala","start":"16:36","end":"17:58","startHours":16.605724718942387,"endHours":17.9605367254081,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:58","end":"19:36","startHours":17.9605367254081,"endHours":19.605724718942383,"quality":"inauspicious"},{"name":"Udveg","start":"19:36","end":"21:15","startHours":19.605724718942383,"endHours":21.25091271247667,"quality":"inauspicious"},{"name":"Chala","start":"21:15","end":"22:54","startHours":21.25091271247667,"endHours":22.896100706010955,"quality":"neutral"},{"name":"Labha","start":"22:54","end":"00:32","startHours":22.896100706010955,"endHours":24.541288699545238,"quality":"auspicious"},{"name":"Amṛta","start":"00:32","end":"02:11","startHours":24.541288699545238,"endHours":26.18647669307952,"quality":"auspicious"},{"name":"Kāla","start":"02:11","end":"03:50","startHours":26.18647669307952,"endHours":27.831664686613806,"quality":"inauspicious"},{"name":"Śubha","start":"03:50","end":"05:29","startHours":27.831664686613806,"endHours":29.47685268014809,"quality":"auspicious"},{"name":"Roga","start":"05:29","end":"07:07","startHours":29.47685268014809,"endHours":31.122040673682374,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:07","end":"08:07","startHours":7.122040673682375,"endHours":8.122040673682374,"planetary_lord":"Venus"},{"name":"Hora 2","start":"08:07","end":"09:07","startHours":8.122040673682374,"endHours":9.122040673682374,"planetary_lord":"Sun"},{"name":"Hora 3","start":"09:07","end":"10:07","startHours":9.122040673682374,"endHours":10.122040673682374,"planetary_lord":"Mars"},{"name":"Hora 4","start":"10:07","end":"11:07","startHours":10.122040673682374,"endHours":11.122040673682374,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"11:07","end":"12:07","startHours":11.122040673682374,"endHours":12.122040673682374,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"12:07","end":"13:07","startHours":12.122040673682374,"endHours":13.122040673682374,"planetary_lord":"Moon"},{"name":"Hora 7","start":"13:07","end":"14:07","startHours":13.122040673682374,"endHours":14.122040673682374,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"14:07","end":"15:07","startHours":14.122040673682374,"endHours":15.122040673682374,"planetary_lord":"Venus"},{"name":"Hora 9","start":"15:07","end":"16:07","startHours":15.122040673682374,"endHours":16.122040673682374,"planetary_lord":"Sun"},{"name":"Hora 10","start":"16:07","end":"17:07","startHours":16.122040673682374,"endHours":17.122040673682374,"planetary_lord":"Mars"},{"name":"Hora 11","start":"17:07","end":"18:07","startHours":17.122040673682374,"endHours":18.122040673682374,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"18:07","end":"19:07","startHours":18.122040673682374,"endHours":19.122040673682374,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"19:07","end":"20:07","startHours":19.122040673682374,"endHours":20.122040673682374,"planetary_lord":"Moon"},{"name":"Hora 14","start":"20:07","end":"21:07","startHours":20.122040673682374,"endHours":21.122040673682374,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"21:07","end":"22:07","startHours":21.122040673682374,"endHours":22.122040673682374,"planetary_lord":"Venus"},{"name":"Hora 16","start":"22:07","end":"23:07","startHours":22.122040673682374,"endHours":23.122040673682374,"planetary_lord":"Sun"},{"name":"Hora 17","start":"23:07","end":"00:07","startHours":23.122040673682374,"endHours":24.122040673682374,"planetary_lord":"Mars"},{"name":"Hora 18","start":"00:07","end":"01:07","startHours":24.122040673682374,"endHours":25.122040673682374,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"01:07","end":"02:07","startHours":25.122040673682374,"endHours":26.122040673682374,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"02:07","end":"03:07","startHours":26.122040673682374,"endHours":27.122040673682374,"planetary_lord":"Moon"},{"name":"Hora 21","start":"03:07","end":"04:07","startHours":27.122040673682374,"endHours":28.122040673682374,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"04:07","end":"05:07","startHours":28.122040673682374,"endHours":29.122040673682374,"planetary_lord":"Venus"},{"name":"Hora 23","start":"05:07","end":"06:07","startHours":29.122040673682374,"endHours":30.122040673682374,"planetary_lord":"Sun"},{"name":"Hora 24","start":"06:07","end":"07:07","startHours":30.122040673682374,"endHours":31.122040673682374,"planetary_lord":"Mars"}],"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":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"West","rahuVasa":"South-East","anandadiYoga":{"name":"Dhūmra","quality":"Inauspicious"},"drikRitu":"Śiśira (Winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-17.959760184105708,"eotMinutes":-13.172121972714217,"ayanamsa":25.251}},"calendars":{"vikram_samvat":2157,"vikram_samvatsara":"Śrīmukha","saka_samvat":2022,"saka_samvatsara":"Raudra","bengali_samvat":1507,"malayalam_era":1276,"nanakshahi_year":631,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Caturthī · Vikram 2157 Śrīmukha · Śaka 2022 Raudra"},"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},{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 29, 2100 CE · Mathurā · Vidhyamitra","description":"January 29, 2100 CE for Mathurā: Kṛṣṇa Caturthī, sūryodaya 07:07, sūryāsta 17:58.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2100-01-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2100-01-29","sa":"https://sa.vidhyamitra.com/city/mathura/2100-01-29","hi":"https://hi.vidhyamitra.com/city/mathura/2100-01-29","x-default":"https://vidhyamitra.com/city/mathura/2100-01-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T15:57:59.784Z","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":"2026-05-14T15:57:59.784Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T15:57:59.784Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}